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- Core Connections Integrated I, 2013
- Core Connections Algebra 1, 2013
- Core Connections Geometry, 2013
- Core Connections Algebra 2, 2013
- Core Connections Integrated I, 2014
- Core Connections Integrated II, 2015
- Core Connections: Course 1
- Core Connections: Course 2
- Core Connections: Course 3
- Core Connections Integrated III, 2015
3.1 Functions and Function Notation
- ⓑ yes (Note: If two players had been tied for, say, 4th place, then the name would not have been a function of rank.)
w = f ( d ) w = f ( d )
g ( 5 ) = 1 g ( 5 ) = 1
m = 8 m = 8
y = f ( x ) = x 3 2 y = f ( x ) = x 3 2
g ( 1 ) = 8 g ( 1 ) = 8
x = 0 x = 0 or x = 2 x = 2
- ⓐ yes, because each bank account has a single balance at any given time;
- ⓑ no, because several bank account numbers may have the same balance;
- ⓒ no, because the same output may correspond to more than one input.
- ⓐ Yes, letter grade is a function of percent grade;
- ⓑ No, it is not one-to-one. There are 100 different percent numbers we could get but only about five possible letter grades, so there cannot be only one percent number that corresponds to each letter grade.
No, because it does not pass the horizontal line test.
3.2 Domain and Range
{ − 5 , 0 , 5 , 10 , 15 } { − 5 , 0 , 5 , 10 , 15 }
( − ∞ , ∞ ) ( − ∞ , ∞ )
( − ∞ , 1 2 ) ∪ ( 1 2 , ∞ ) ( − ∞ , 1 2 ) ∪ ( 1 2 , ∞ )
[ − 5 2 , ∞ ) [ − 5 2 , ∞ )
- ⓐ values that are less than or equal to –2, or values that are greater than or equal to –1 and less than 3
- ⓑ { x | x ≤ − 2 or − 1 ≤ x < 3 } { x | x ≤ − 2 or − 1 ≤ x < 3 }
- ⓒ ( − ∞ , − 2 ] ∪ [ − 1 , 3 ) ( − ∞ , − 2 ] ∪ [ − 1 , 3 )
domain =[1950,2002] range = [47,000,000,89,000,000]
domain: ( − ∞ , 2 ] ; ( − ∞ , 2 ] ; range: ( − ∞ , 0 ] ( − ∞ , 0 ]
3.3 Rates of Change and Behavior of Graphs
$ 2.84 − $ 2.31 5 years = $ 0.53 5 years = $ 0.106 $ 2.84 − $ 2.31 5 years = $ 0.53 5 years = $ 0.106 per year.
a + 7 a + 7
The local maximum appears to occur at ( − 1 , 28 ) , ( − 1 , 28 ) , and the local minimum occurs at ( 5 , − 80 ) . ( 5 , − 80 ) . The function is increasing on ( − ∞ , − 1 ) ∪ ( 5 , ∞ ) ( − ∞ , − 1 ) ∪ ( 5 , ∞ ) and decreasing on ( − 1 , 5 ) . ( − 1 , 5 ) .
3.4 Composition of Functions
( f g ) ( x ) = f ( x ) g ( x ) = ( x − 1 ) ( x 2 − 1 ) = x 3 − x 2 − x + 1 ( f − g ) ( x ) = f ( x ) − g ( x ) = ( x − 1 ) − ( x 2 − 1 ) = x − x 2 ( f g ) ( x ) = f ( x ) g ( x ) = ( x − 1 ) ( x 2 − 1 ) = x 3 − x 2 − x + 1 ( f − g ) ( x ) = f ( x ) − g ( x ) = ( x − 1 ) − ( x 2 − 1 ) = x − x 2
No, the functions are not the same.
A gravitational force is still a force, so a ( G ( r ) ) a ( G ( r ) ) makes sense as the acceleration of a planet at a distance r from the Sun (due to gravity), but G ( a ( F ) ) G ( a ( F ) ) does not make sense.
f ( g ( 1 ) ) = f ( 3 ) = 3 f ( g ( 1 ) ) = f ( 3 ) = 3 and g ( f ( 4 ) ) = g ( 1 ) = 3 g ( f ( 4 ) ) = g ( 1 ) = 3
g ( f ( 2 ) ) = g ( 5 ) = 3 g ( f ( 2 ) ) = g ( 5 ) = 3
[ − 4 , 0 ) ∪ ( 0 , ∞ ) [ − 4 , 0 ) ∪ ( 0 , ∞ )
Possible answer:
g ( x ) = 4 + x 2 h ( x ) = 4 3 − x f = h ∘ g g ( x ) = 4 + x 2 h ( x ) = 4 3 − x f = h ∘ g
3.5 Transformation of Functions
The graphs of f ( x ) f ( x ) and g ( x ) g ( x ) are shown below. The transformation is a horizontal shift. The function is shifted to the left by 2 units.
g ( x ) = 1 x - 1 + 1 g ( x ) = 1 x - 1 + 1
g ( x ) = − f ( x ) g ( x ) = − f ( x )
-2 | 0 | 2 | 4 | |
h ( x ) = f ( − x ) h ( x ) = f ( − x )
-2 | 0 | 2 | 4 | |
15 | 10 | 5 | unknown |
Notice: g ( x ) = f ( − x ) g ( x ) = f ( − x ) looks the same as f ( x ) f ( x ) .
2 | 4 | 6 | 8 | |
9 | 12 | 15 | 0 |
g ( x ) = 3 x - 2 g ( x ) = 3 x - 2
g ( x ) = f ( 1 3 x ) g ( x ) = f ( 1 3 x ) so using the square root function we get g ( x ) = 1 3 x g ( x ) = 1 3 x
3.6 Absolute Value Functions
using the variable p p for passing, | p − 80 | ≤ 20 | p − 80 | ≤ 20
f ( x ) = − | x + 2 | + 3 f ( x ) = − | x + 2 | + 3
x = − 1 x = − 1 or x = 2 x = 2
3.7 Inverse Functions
h ( 2 ) = 6 h ( 2 ) = 6
The domain of function f − 1 f − 1 is ( − ∞ , − 2 ) ( − ∞ , − 2 ) and the range of function f − 1 f − 1 is ( 1 , ∞ ) . ( 1 , ∞ ) .
- ⓐ f ( 60 ) = 50. f ( 60 ) = 50. In 60 minutes, 50 miles are traveled.
- ⓑ f − 1 ( 60 ) = 70. f − 1 ( 60 ) = 70. To travel 60 miles, it will take 70 minutes.
x = 3 y + 5 x = 3 y + 5
f − 1 ( x ) = ( 2 − x ) 2 ; domain of f : [ 0 , ∞ ) ; domain of f − 1 : ( − ∞ , 2 ] f − 1 ( x ) = ( 2 − x ) 2 ; domain of f : [ 0 , ∞ ) ; domain of f − 1 : ( − ∞ , 2 ]
3.1 Section Exercises
A relation is a set of ordered pairs. A function is a special kind of relation in which no two ordered pairs have the same first coordinate.
When a vertical line intersects the graph of a relation more than once, that indicates that for that input there is more than one output. At any particular input value, there can be only one output if the relation is to be a function.
When a horizontal line intersects the graph of a function more than once, that indicates that for that output there is more than one input. A function is one-to-one if each output corresponds to only one input.
not a function
f ( − 3 ) = − 11 ; f ( − 3 ) = − 11 ; f ( 2 ) = − 1 ; f ( 2 ) = − 1 ; f ( − a ) = − 2 a − 5 ; f ( − a ) = − 2 a − 5 ; − f ( a ) = − 2 a + 5 ; − f ( a ) = − 2 a + 5 ; f ( a + h ) = 2 a + 2 h − 5 f ( a + h ) = 2 a + 2 h − 5
f ( − 3 ) = 5 + 5 ; f ( − 3 ) = 5 + 5 ; f ( 2 ) = 5 ; f ( 2 ) = 5 ; f ( − a ) = 2 + a + 5 ; f ( − a ) = 2 + a + 5 ; − f ( a ) = − 2 − a − 5 ; − f ( a ) = − 2 − a − 5 ; f ( a + h ) = 2 − a − h + 5 f ( a + h ) = 2 − a − h + 5
f ( − 3 ) = 2 ; f ( − 3 ) = 2 ; f ( 2 ) = 1 − 3 = − 2 ; f ( 2 ) = 1 − 3 = − 2 ; f ( − a ) = | − a − 1 | − | − a + 1 | ; f ( − a ) = | − a − 1 | − | − a + 1 | ; − f ( a ) = − | a − 1 | + | a + 1 | ; − f ( a ) = − | a − 1 | + | a + 1 | ; f ( a + h ) = | a + h − 1 | − | a + h + 1 | f ( a + h ) = | a + h − 1 | − | a + h + 1 |
g ( x ) − g ( a ) x − a = x + a + 2 , x ≠ a g ( x ) − g ( a ) x − a = x + a + 2 , x ≠ a
a. f ( − 2 ) = 14 ; f ( − 2 ) = 14 ; b. x = 3 x = 3
a. f ( 5 ) = 10 ; f ( 5 ) = 10 ; b. x = − 1 x = − 1 or x = 4 x = 4
- ⓐ f ( t ) = 6 − 2 3 t ; f ( t ) = 6 − 2 3 t ;
- ⓑ f ( − 3 ) = 8 ; f ( − 3 ) = 8 ;
- ⓒ t = 6 t = 6
- ⓐ f ( 0 ) = 1 ; f ( 0 ) = 1 ;
- ⓑ f ( x ) = − 3 , x = − 2 f ( x ) = − 3 , x = − 2 or x = 2 x = 2
not a function so it is also not a one-to-one function
one-to- one function
function, but not one-to-one
f ( x ) = 1 , x = 2 f ( x ) = 1 , x = 2
f ( − 2 ) = 14 ; f ( − 1 ) = 11 ; f ( 0 ) = 8 ; f ( 1 ) = 5 ; f ( 2 ) = 2 f ( − 2 ) = 14 ; f ( − 1 ) = 11 ; f ( 0 ) = 8 ; f ( 1 ) = 5 ; f ( 2 ) = 2
f ( − 2 ) = 4 ; f ( − 1 ) = 4.414 ; f ( 0 ) = 4.732 ; f ( 1 ) = 5 ; f ( 2 ) = 5.236 f ( − 2 ) = 4 ; f ( − 1 ) = 4.414 ; f ( 0 ) = 4.732 ; f ( 1 ) = 5 ; f ( 2 ) = 5.236
f ( − 2 ) = 1 9 ; f ( − 1 ) = 1 3 ; f ( 0 ) = 1 ; f ( 1 ) = 3 ; f ( 2 ) = 9 f ( − 2 ) = 1 9 ; f ( − 1 ) = 1 3 ; f ( 0 ) = 1 ; f ( 1 ) = 3 ; f ( 2 ) = 9
[ 0 , 100 ] [ 0 , 100 ]
[ − 0.001 , 0 .001 ] [ − 0.001 , 0 .001 ]
[ − 1 , 000 , 000 , 1,000,000 ] [ − 1 , 000 , 000 , 1,000,000 ]
[ 0 , 10 ] [ 0 , 10 ]
[ −0.1 , 0.1 ] [ −0.1 , 0.1 ]
[ − 100 , 100 ] [ − 100 , 100 ]
- ⓐ g ( 5000 ) = 50 ; g ( 5000 ) = 50 ;
- ⓑ The number of cubic yards of dirt required for a garden of 100 square feet is 1.
- ⓐ The height of a rocket above ground after 1 second is 200 ft.
- ⓑ The height of a rocket above ground after 2 seconds is 350 ft.
3.2 Section Exercises
The domain of a function depends upon what values of the independent variable make the function undefined or imaginary.
There is no restriction on x x for f ( x ) = x 3 f ( x ) = x 3 because you can take the cube root of any real number. So the domain is all real numbers, ( − ∞ , ∞ ) . ( − ∞ , ∞ ) . When dealing with the set of real numbers, you cannot take the square root of negative numbers. So x x -values are restricted for f ( x ) = x f ( x ) = x to nonnegative numbers and the domain is [ 0 , ∞ ) . [ 0 , ∞ ) .
Graph each formula of the piecewise function over its corresponding domain. Use the same scale for the x x -axis and y y -axis for each graph. Indicate inclusive endpoints with a solid circle and exclusive endpoints with an open circle. Use an arrow to indicate − ∞ − ∞ or ∞ . ∞ . Combine the graphs to find the graph of the piecewise function.
( − ∞ , 3 ] ( − ∞ , 3 ]
( − ∞ , − 1 2 ) ∪ ( − 1 2 , ∞ ) ( − ∞ , − 1 2 ) ∪ ( − 1 2 , ∞ )
( − ∞ , − 11 ) ∪ ( − 11 , 2 ) ∪ ( 2 , ∞ ) ( − ∞ , − 11 ) ∪ ( − 11 , 2 ) ∪ ( 2 , ∞ )
( − ∞ , − 3 ) ∪ ( − 3 , 5 ) ∪ ( 5 , ∞ ) ( − ∞ , − 3 ) ∪ ( − 3 , 5 ) ∪ ( 5 , ∞ )
( − ∞ , 5 ) ( − ∞ , 5 )
[ 6 , ∞ ) [ 6 , ∞ )
( − ∞ , − 9 ) ∪ ( − 9 , 9 ) ∪ ( 9 , ∞ ) ( − ∞ , − 9 ) ∪ ( − 9 , 9 ) ∪ ( 9 , ∞ )
domain: ( 2 , 8 ] , ( 2 , 8 ] , range [ 6 , 8 ) [ 6 , 8 )
domain: [ − 4 , 4], [ − 4 , 4], range: [ 0 , 2] [ 0 , 2]
domain: [ − 5 , 3 ) , [ − 5 , 3 ) , range: [ 0 , 2 ] [ 0 , 2 ]
domain: ( − ∞ , 1 ] , ( − ∞ , 1 ] , range: [ 0 , ∞ ) [ 0 , ∞ )
domain: [ − 6 , − 1 6 ] ∪ [ 1 6 , 6 ] ; [ − 6 , − 1 6 ] ∪ [ 1 6 , 6 ] ; range: [ − 6 , − 1 6 ] ∪ [ 1 6 , 6 ] [ − 6 , − 1 6 ] ∪ [ 1 6 , 6 ]
domain: [ − 3 , ∞ ) ; [ − 3 , ∞ ) ; range: [ 0 , ∞ ) [ 0 , ∞ )
domain: ( − ∞ , ∞ ) ( − ∞ , ∞ )
f ( − 3 ) = 1 ; f ( − 2 ) = 0 ; f ( − 1 ) = 0 ; f ( 0 ) = 0 f ( − 3 ) = 1 ; f ( − 2 ) = 0 ; f ( − 1 ) = 0 ; f ( 0 ) = 0
f ( − 1 ) = − 4 ; f ( 0 ) = 6 ; f ( 2 ) = 20 ; f ( 4 ) = 34 f ( − 1 ) = − 4 ; f ( 0 ) = 6 ; f ( 2 ) = 20 ; f ( 4 ) = 34
f ( − 1 ) = − 5 ; f ( 0 ) = 3 ; f ( 2 ) = 3 ; f ( 4 ) = 16 f ( − 1 ) = − 5 ; f ( 0 ) = 3 ; f ( 2 ) = 3 ; f ( 4 ) = 16
domain: ( − ∞ , 1 ) ∪ ( 1 , ∞ ) ( − ∞ , 1 ) ∪ ( 1 , ∞ )
window: [ − 0.5 , − 0.1 ] ; [ − 0.5 , − 0.1 ] ; range: [ 4 , 100 ] [ 4 , 100 ]
window: [ 0.1 , 0.5 ] ; [ 0.1 , 0.5 ] ; range: [ 4 , 100 ] [ 4 , 100 ]
[ 0 , 8 ] [ 0 , 8 ]
Many answers. One function is f ( x ) = 1 x − 2 . f ( x ) = 1 x − 2 .
- ⓐ The fixed cost is $500.
- ⓑ The cost of making 25 items is $750.
- ⓒ The domain is [0, 100] and the range is [500, 1500].
3.3 Section Exercises
Yes, the average rate of change of all linear functions is constant.
The absolute maximum and minimum relate to the entire graph, whereas the local extrema relate only to a specific region around an open interval.
4 ( b + 1 ) 4 ( b + 1 )
4 x + 2 h 4 x + 2 h
− 1 13 ( 13 + h ) − 1 13 ( 13 + h )
3 h 2 + 9 h + 9 3 h 2 + 9 h + 9
4 x + 2 h − 3 4 x + 2 h − 3
increasing on ( − ∞ , − 2.5 ) ∪ ( 1 , ∞ ) , ( − ∞ , − 2.5 ) ∪ ( 1 , ∞ ) , decreasing on ( − 2.5 , 1 ) ( − 2.5 , 1 )
increasing on ( − ∞ , 1 ) ∪ ( 3 , 4 ) , ( − ∞ , 1 ) ∪ ( 3 , 4 ) , decreasing on ( 1 , 3 ) ∪ ( 4 , ∞ ) ( 1 , 3 ) ∪ ( 4 , ∞ )
local maximum: ( − 3 , 60 ) , ( − 3 , 60 ) , local minimum: ( 3 , − 60 ) ( 3 , − 60 )
absolute maximum at approximately ( 7 , 150 ) , ( 7 , 150 ) , absolute minimum at approximately ( −7.5 , −220 ) ( −7.5 , −220 )
Local minimum at ( 3 , − 22 ) , ( 3 , − 22 ) , decreasing on ( − ∞ , 3 ) , ( − ∞ , 3 ) , increasing on ( 3 , ∞ ) ( 3 , ∞ )
Local minimum at ( − 2 , − 2 ) , ( − 2 , − 2 ) , decreasing on ( − 3 , − 2 ) , ( − 3 , − 2 ) , increasing on ( − 2 , ∞ ) ( − 2 , ∞ )
Local maximum at ( − 0.5 , 6 ) , ( − 0.5 , 6 ) , local minima at ( − 3.25 , − 47 ) ( − 3.25 , − 47 ) and ( 2.1 , − 32 ) , ( 2.1 , − 32 ) , decreasing on ( − ∞ , − 3.25 ) ( − ∞ , − 3.25 ) and ( − 0.5 , 2.1 ) , ( − 0.5 , 2.1 ) , increasing on ( − 3.25 , − 0.5 ) ( − 3.25 , − 0.5 ) and ( 2.1 , ∞ ) ( 2.1 , ∞ )
b = 5 b = 5
2.7 gallons per minute
approximately –0.6 milligrams per day
3.4 Section Exercises
Find the numbers that make the function in the denominator g g equal to zero, and check for any other domain restrictions on f f and g , g , such as an even-indexed root or zeros in the denominator.
Yes. Sample answer: Let f ( x ) = x + 1 and g ( x ) = x − 1. f ( x ) = x + 1 and g ( x ) = x − 1. Then f ( g ( x ) ) = f ( x − 1 ) = ( x − 1 ) + 1 = x f ( g ( x ) ) = f ( x − 1 ) = ( x − 1 ) + 1 = x and g ( f ( x ) ) = g ( x + 1 ) = ( x + 1 ) − 1 = x . g ( f ( x ) ) = g ( x + 1 ) = ( x + 1 ) − 1 = x . So f ∘ g = g ∘ f . f ∘ g = g ∘ f .
( f + g ) ( x ) = 2 x + 6 , ( f + g ) ( x ) = 2 x + 6 , domain: ( − ∞ , ∞ ) ( − ∞ , ∞ )
( f − g ) ( x ) = 2 x 2 + 2 x − 6 , ( f − g ) ( x ) = 2 x 2 + 2 x − 6 , domain: ( − ∞ , ∞ ) ( − ∞ , ∞ )
( f g ) ( x ) = − x 4 − 2 x 3 + 6 x 2 + 12 x , ( f g ) ( x ) = − x 4 − 2 x 3 + 6 x 2 + 12 x , domain: ( − ∞ , ∞ ) ( − ∞ , ∞ )
( f g ) ( x ) = x 2 + 2 x 6 − x 2 , ( f g ) ( x ) = x 2 + 2 x 6 − x 2 , domain: ( − ∞ , − 6 ) ∪ ( − 6 , 6 ) ∪ ( 6 , ∞ ) ( − ∞ , − 6 ) ∪ ( − 6 , 6 ) ∪ ( 6 , ∞ )
( f + g ) ( x ) = 4 x 3 + 8 x 2 + 1 2 x , ( f + g ) ( x ) = 4 x 3 + 8 x 2 + 1 2 x , domain: ( − ∞ , 0 ) ∪ ( 0 , ∞ ) ( − ∞ , 0 ) ∪ ( 0 , ∞ )
( f − g ) ( x ) = 4 x 3 + 8 x 2 − 1 2 x , ( f − g ) ( x ) = 4 x 3 + 8 x 2 − 1 2 x , domain: ( − ∞ , 0 ) ∪ ( 0 , ∞ ) ( − ∞ , 0 ) ∪ ( 0 , ∞ )
( f g ) ( x ) = x + 2 , ( f g ) ( x ) = x + 2 , domain: ( − ∞ , 0 ) ∪ ( 0 , ∞ ) ( − ∞ , 0 ) ∪ ( 0 , ∞ )
( f g ) ( x ) = 4 x 3 + 8 x 2 , ( f g ) ( x ) = 4 x 3 + 8 x 2 , domain: ( − ∞ , 0 ) ∪ ( 0 , ∞ ) ( − ∞ , 0 ) ∪ ( 0 , ∞ )
( f + g ) ( x ) = 3 x 2 + x − 5 , ( f + g ) ( x ) = 3 x 2 + x − 5 , domain: [ 5 , ∞ ) [ 5 , ∞ )
( f − g ) ( x ) = 3 x 2 − x − 5 , ( f − g ) ( x ) = 3 x 2 − x − 5 , domain: [ 5 , ∞ ) [ 5 , ∞ )
( f g ) ( x ) = 3 x 2 x − 5 , ( f g ) ( x ) = 3 x 2 x − 5 , domain: [ 5 , ∞ ) [ 5 , ∞ )
( f g ) ( x ) = 3 x 2 x − 5 , ( f g ) ( x ) = 3 x 2 x − 5 , domain: ( 5 , ∞ ) ( 5 , ∞ )
- ⓑ f ( g ( x ) ) = 2 ( 3 x − 5 ) 2 + 1 f ( g ( x ) ) = 2 ( 3 x − 5 ) 2 + 1
- ⓒ f ( g ( x ) ) = 6 x 2 − 2 f ( g ( x ) ) = 6 x 2 − 2
- ⓓ ( g ∘ g ) ( x ) = 3 ( 3 x − 5 ) − 5 = 9 x − 20 ( g ∘ g ) ( x ) = 3 ( 3 x − 5 ) − 5 = 9 x − 20
- ⓔ ( f ∘ f ) ( − 2 ) = 163 ( f ∘ f ) ( − 2 ) = 163
f ( g ( x ) ) = x 2 + 3 + 2 , g ( f ( x ) ) = x + 4 x + 7 f ( g ( x ) ) = x 2 + 3 + 2 , g ( f ( x ) ) = x + 4 x + 7
f ( g ( x ) ) = x + 1 x 3 3 = x + 1 3 x , g ( f ( x ) ) = x 3 + 1 x f ( g ( x ) ) = x + 1 x 3 3 = x + 1 3 x , g ( f ( x ) ) = x 3 + 1 x
( f ∘ g ) ( x ) = 1 2 x + 4 − 4 = x 2 , ( g ∘ f ) ( x ) = 2 x − 4 ( f ∘ g ) ( x ) = 1 2 x + 4 − 4 = x 2 , ( g ∘ f ) ( x ) = 2 x − 4
f ( g ( h ( x ) ) ) = ( 1 x + 3 ) 2 + 1 f ( g ( h ( x ) ) ) = ( 1 x + 3 ) 2 + 1
- ⓐ ( g ∘ f ) ( x ) = − 3 2 − 4 x ( g ∘ f ) ( x ) = − 3 2 − 4 x
- ⓑ ( − ∞ , 1 2 ) ( − ∞ , 1 2 )
- ⓐ ( 0 , 2 ) ∪ ( 2 , ∞ ) ; ( 0 , 2 ) ∪ ( 2 , ∞ ) ;
- ⓑ ( − ∞ , − 2 ) ∪ ( 2 , ∞ ) ; ( − ∞ , − 2 ) ∪ ( 2 , ∞ ) ;
- ⓒ ( 0 , ∞ ) ( 0 , ∞ )
( 1 , ∞ ) ( 1 , ∞ )
sample: f ( x ) = x 3 g ( x ) = x − 5 f ( x ) = x 3 g ( x ) = x − 5
sample: f ( x ) = 4 x g ( x ) = ( x + 2 ) 2 f ( x ) = 4 x g ( x ) = ( x + 2 ) 2
sample: f ( x ) = x 3 g ( x ) = 1 2 x − 3 f ( x ) = x 3 g ( x ) = 1 2 x − 3
sample: f ( x ) = x 4 g ( x ) = 3 x − 2 x + 5 f ( x ) = x 4 g ( x ) = 3 x − 2 x + 5
sample: f ( x ) = x g ( x ) = 2 x + 6 f ( x ) = x g ( x ) = 2 x + 6
sample: f ( x ) = x 3 g ( x ) = ( x − 1 ) f ( x ) = x 3 g ( x ) = ( x − 1 )
sample: f ( x ) = x 3 g ( x ) = 1 x − 2 f ( x ) = x 3 g ( x ) = 1 x − 2
sample: f ( x ) = x g ( x ) = 2 x − 1 3 x + 4 f ( x ) = x g ( x ) = 2 x − 1 3 x + 4
f ( g ( 0 ) ) = 27 , g ( f ( 0 ) ) = − 94 f ( g ( 0 ) ) = 27 , g ( f ( 0 ) ) = − 94
f ( g ( 0 ) ) = 1 5 , g ( f ( 0 ) ) = 5 f ( g ( 0 ) ) = 1 5 , g ( f ( 0 ) ) = 5
18 x 2 + 60 x + 51 18 x 2 + 60 x + 51
g ∘ g ( x ) = 9 x + 20 g ∘ g ( x ) = 9 x + 20
( f ∘ g ) ( 6 ) = 6 ( f ∘ g ) ( 6 ) = 6 ; ( g ∘ f ) ( 6 ) = 6 ( g ∘ f ) ( 6 ) = 6
( f ∘ g ) ( 11 ) = 11 , ( g ∘ f ) ( 11 ) = 11 ( f ∘ g ) ( 11 ) = 11 , ( g ∘ f ) ( 11 ) = 11
A ( t ) = π ( 25 t + 2 ) 2 A ( t ) = π ( 25 t + 2 ) 2 and A ( 2 ) = π ( 25 4 ) 2 = 2500 π A ( 2 ) = π ( 25 4 ) 2 = 2500 π square inches
A ( 5 ) = π ( 2 ( 5 ) + 1 ) 2 = 121 π A ( 5 ) = π ( 2 ( 5 ) + 1 ) 2 = 121 π square units
- ⓐ N ( T ( t ) ) = 23 ( 5 t + 1.5 ) 2 − 56 ( 5 t + 1.5 ) + 1 N ( T ( t ) ) = 23 ( 5 t + 1.5 ) 2 − 56 ( 5 t + 1.5 ) + 1
- ⓑ 3.38 hours
3.5 Section Exercises
A horizontal shift results when a constant is added to or subtracted from the input. A vertical shifts results when a constant is added to or subtracted from the output.
A horizontal compression results when a constant greater than 1 is multiplied by the input. A vertical compression results when a constant between 0 and 1 is multiplied by the output.
For a function f , f , substitute ( − x ) ( − x ) for ( x ) ( x ) in f ( x ) . f ( x ) . Simplify. If the resulting function is the same as the original function, f ( − x ) = f ( x ) , f ( − x ) = f ( x ) , then the function is even. If the resulting function is the opposite of the original function, f ( − x ) = − f ( x ) , f ( − x ) = − f ( x ) , then the original function is odd. If the function is not the same or the opposite, then the function is neither odd nor even.
g ( x ) = | x - 1 | − 3 g ( x ) = | x - 1 | − 3
g ( x ) = 1 ( x + 4 ) 2 + 2 g ( x ) = 1 ( x + 4 ) 2 + 2
The graph of f ( x + 43 ) f ( x + 43 ) is a horizontal shift to the left 43 units of the graph of f . f .
The graph of f ( x - 4 ) f ( x - 4 ) is a horizontal shift to the right 4 units of the graph of f . f .
The graph of f ( x ) + 8 f ( x ) + 8 is a vertical shift up 8 units of the graph of f . f .
The graph of f ( x ) − 7 f ( x ) − 7 is a vertical shift down 7 units of the graph of f . f .
The graph of f ( x + 4 ) − 1 f ( x + 4 ) − 1 is a horizontal shift to the left 4 units and a vertical shift down 1 unit of the graph of f . f .
decreasing on ( − ∞ , − 3 ) ( − ∞ , − 3 ) and increasing on ( − 3 , ∞ ) ( − 3 , ∞ )
decreasing on ( 0 , ∞ ) ( 0 , ∞ )
g ( x ) = f ( x - 1 ) , h ( x ) = f ( x ) + 1 g ( x ) = f ( x - 1 ) , h ( x ) = f ( x ) + 1
f ( x ) = | x - 3 | − 2 f ( x ) = | x - 3 | − 2
f ( x ) = x + 3 − 1 f ( x ) = x + 3 − 1
f ( x ) = ( x - 2 ) 2 f ( x ) = ( x - 2 ) 2
f ( x ) = | x + 3 | − 2 f ( x ) = | x + 3 | − 2
f ( x ) = − x f ( x ) = − x
f ( x ) = − ( x + 1 ) 2 + 2 f ( x ) = − ( x + 1 ) 2 + 2
f ( x ) = − x + 1 f ( x ) = − x + 1
The graph of g g is a vertical reflection (across the x x -axis) of the graph of f . f .
The graph of g g is a vertical stretch by a factor of 4 of the graph of f . f .
The graph of g g is a horizontal compression by a factor of 1 5 1 5 of the graph of f . f .
The graph of g g is a horizontal stretch by a factor of 3 of the graph of f . f .
The graph of g g is a horizontal reflection across the y y -axis and a vertical stretch by a factor of 3 of the graph of f . f .
g ( x ) = | − 4 x | g ( x ) = | − 4 x |
g ( x ) = 1 3 ( x + 2 ) 2 − 3 g ( x ) = 1 3 ( x + 2 ) 2 − 3
g ( x ) = 1 2 ( x - 5 ) 2 + 1 g ( x ) = 1 2 ( x - 5 ) 2 + 1
The graph of the function f ( x ) = x 2 f ( x ) = x 2 is shifted to the left 1 unit, stretched vertically by a factor of 4, and shifted down 5 units.
The graph of f ( x ) = | x | f ( x ) = | x | is stretched vertically by a factor of 2, shifted horizontally 4 units to the right, reflected across the horizontal axis, and then shifted vertically 3 units up.
The graph of the function f ( x ) = x 3 f ( x ) = x 3 is compressed vertically by a factor of 1 2 . 1 2 .
The graph of the function is stretched horizontally by a factor of 3 and then shifted vertically downward by 3 units.
The graph of f ( x ) = x f ( x ) = x is shifted right 4 units and then reflected across the vertical line x = 4. x = 4.
3.6 Section Exercises
Isolate the absolute value term so that the equation is of the form | A | = B . | A | = B . Form one equation by setting the expression inside the absolute value symbol, A , A , equal to the expression on the other side of the equation, B . B . Form a second equation by setting A A equal to the opposite of the expression on the other side of the equation, − B . − B . Solve each equation for the variable.
The graph of the absolute value function does not cross the x x -axis, so the graph is either completely above or completely below the x x -axis.
The distance from x to 8 can be represented using the absolute value statement: ∣ x − 8 ∣ = 4.
∣ x − 10 ∣ ≥ 15
There are no x-intercepts.
(−4, 0) and (2, 0)
( 0 , − 4 ) , ( 4 , 0 ) , ( − 2 , 0 ) ( 0 , − 4 ) , ( 4 , 0 ) , ( − 2 , 0 )
( 0 , 7 ) , ( 25 , 0 ) , ( − 7 , 0 ) ( 0 , 7 ) , ( 25 , 0 ) , ( − 7 , 0 )
range: [ – 400 , 100 ] [ – 400 , 100 ]
There is no solution for a a that will keep the function from having a y y -intercept. The absolute value function always crosses the y y -intercept when x = 0. x = 0.
| p − 0.08 | ≤ 0.015 | p − 0.08 | ≤ 0.015
| x − 5.0 | ≤ 0.01 | x − 5.0 | ≤ 0.01
3.7 Section Exercises
Each output of a function must have exactly one output for the function to be one-to-one. If any horizontal line crosses the graph of a function more than once, that means that y y -values repeat and the function is not one-to-one. If no horizontal line crosses the graph of the function more than once, then no y y -values repeat and the function is one-to-one.
Yes. For example, f ( x ) = 1 x f ( x ) = 1 x is its own inverse.
Given a function y = f ( x ) , y = f ( x ) , solve for x x in terms of y . y . Interchange the x x and y . y . Solve the new equation for y . y . The expression for y y is the inverse, y = f − 1 ( x ) . y = f − 1 ( x ) .
f − 1 ( x ) = x − 3 f − 1 ( x ) = x − 3
f − 1 ( x ) = 2 − x f − 1 ( x ) = 2 − x
f − 1 ( x ) = − 2 x x − 1 f − 1 ( x ) = − 2 x x − 1
domain of f ( x ) : [ − 7 , ∞ ) ; f − 1 ( x ) = x − 7 f ( x ) : [ − 7 , ∞ ) ; f − 1 ( x ) = x − 7
domain of f ( x ) : [ 0 , ∞ ) ; f − 1 ( x ) = x + 5 f ( x ) : [ 0 , ∞ ) ; f − 1 ( x ) = x + 5
a. f ( g ( x ) ) = x f ( g ( x ) ) = x and g ( f ( x ) ) = x . g ( f ( x ) ) = x . b. This tells us that f f and g g are inverse functions
f ( g ( x ) ) = x , g ( f ( x ) ) = x f ( g ( x ) ) = x , g ( f ( x ) ) = x
not one-to-one
[ 2 , 10 ] [ 2 , 10 ]
1 | 4 | 7 | 12 | 16 | |
3 | 6 | 9 | 13 | 14 |
f − 1 ( x ) = ( 1 + x ) 1 / 3 f − 1 ( x ) = ( 1 + x ) 1 / 3
f − 1 ( x ) = 5 9 ( x − 32 ) . f − 1 ( x ) = 5 9 ( x − 32 ) . Given the Fahrenheit temperature, x , x , this formula allows you to calculate the Celsius temperature.
t ( d ) = d 50 , t ( d ) = d 50 , t ( 180 ) = 180 50 . t ( 180 ) = 180 50 . The time for the car to travel 180 miles is 3.6 hours.
Review Exercises
f ( − 3 ) = − 27 ; f ( − 3 ) = − 27 ; f ( 2 ) = − 2 ; f ( 2 ) = − 2 ; f ( − a ) = − 2 a 2 − 3 a ; f ( − a ) = − 2 a 2 − 3 a ; − f ( a ) = 2 a 2 − 3 a ; − f ( a ) = 2 a 2 − 3 a ; f ( a + h ) = − 2 a 2 + 3 a − 4 a h + 3 h − 2 h 2 f ( a + h ) = − 2 a 2 + 3 a − 4 a h + 3 h − 2 h 2
x = − 1.8 x = − 1.8 or or x = 1.8 or x = 1.8
− 64 + 80 a − 16 a 2 − 1 + a = − 16 a + 64 − 64 + 80 a − 16 a 2 − 1 + a = − 16 a + 64
( − ∞ , − 2 ) ∪ ( − 2 , 6 ) ∪ ( 6 , ∞ ) ( − ∞ , − 2 ) ∪ ( − 2 , 6 ) ∪ ( 6 , ∞ )
increasing ( 2 , ∞ ) ; ( 2 , ∞ ) ; decreasing ( − ∞ , 2 ) ( − ∞ , 2 )
increasing ( − 3 , 1 ) ; ( − 3 , 1 ) ; constant ( − ∞ , − 3 ) ∪ ( 1 , ∞ ) ( − ∞ , − 3 ) ∪ ( 1 , ∞ )
local minimum ( − 2 , − 3 ) ; ( − 2 , − 3 ) ; local maximum ( 1 , 3 ) ( 1 , 3 )
( − 1.8 , 10 ) ( − 1.8 , 10 )
( f ∘ g ) ( x ) = 17 − 18 x ; ( g ∘ f ) ( x ) = − 7 − 18 x ( f ∘ g ) ( x ) = 17 − 18 x ; ( g ∘ f ) ( x ) = − 7 − 18 x
( f ∘ g ) ( x ) = 1 x + 2 ; ( g ∘ f ) ( x ) = 1 x + 2 ( f ∘ g ) ( x ) = 1 x + 2 ; ( g ∘ f ) ( x ) = 1 x + 2
( f ∘ g ) ( x ) = 1 + x 1 + 4 x , x ≠ 0 , x ≠ − 1 4 ( f ∘ g ) ( x ) = 1 + x 1 + 4 x , x ≠ 0 , x ≠ − 1 4
( f ∘ g ) ( x ) = 1 x , x > 0 ( f ∘ g ) ( x ) = 1 x , x > 0
sample: g ( x ) = 2 x − 1 3 x + 4 ; f ( x ) = x g ( x ) = 2 x − 1 3 x + 4 ; f ( x ) = x
f ( x ) = | x − 3 | f ( x ) = | x − 3 |
f ( x ) = 1 2 | x + 2 | + 1 f ( x ) = 1 2 | x + 2 | + 1
f ( x ) = − 3 | x − 3 | + 3 f ( x ) = − 3 | x − 3 | + 3
f − 1 ( x ) = x - 9 10 f − 1 ( x ) = x - 9 10
f − 1 ( x ) = x - 1 f − 1 ( x ) = x - 1
The function is one-to-one.
Practice Test
The relation is a function.
The graph is a parabola and the graph fails the horizontal line test.
2 a 2 − a 2 a 2 − a
− 2 ( a + b ) + 1 − 2 ( a + b ) + 1
f − 1 ( x ) = x + 5 3 f − 1 ( x ) = x + 5 3
( − ∞ , − 1.1 ) and ( 1.1 , ∞ ) ( − ∞ , − 1.1 ) and ( 1.1 , ∞ )
( 1.1 , − 0.9 ) ( 1.1 , − 0.9 )
f ( 2 ) = 2 f ( 2 ) = 2
f ( x ) = { | x | if x ≤ 2 3 if x > 2 f ( x ) = { | x | if x ≤ 2 3 if x > 2
x = 2 x = 2
f − 1 ( x ) = − x − 11 2 f − 1 ( x ) = − x − 11 2
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- Authors: Jay Abramson
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- Book title: College Algebra
- Publication date: Feb 13, 2015
- Location: Houston, Texas
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Eureka Math Grade 3 Module 5 Answer Key | Engage NY Math 3rd Grade Module 5 Answer Key
Eureka Math Grade 3 Module 5 Answer Key extends and deepens students’ knowledge of understanding fractions as equal partitions of a whole. Knowledge becomes more formal if you work with area models and the number line from our EngageNY Eureka Math 3rd Grade Module 5 Solutions Key. You can download Eureka Math Third Grade Module 5 Solutions for free of cost via quick links available. Take your preparation to the next level by practicing from the Eureka Math Grade 3 Answer Key Module 5 Fractions as Numbers on the Number Line Answer Key on a daily basis.
EngageNY Math Grade 3 Module 5 Answer Key | Eureka Math 3rd Grade Module 5 Answer Key
Eureka Math Grade 3 Module 5 Solutions Key includes the topics Partitioning a Whole into Equal Parts, Unit Fractions and their Relation to the Whole, Comparing Unit Fractions and Specifying the Whole, Fractions on the Number Line, Equivalent Fractions, etc. Access the Topicwise Eureka Math Grade 3 Module 5 Answer Key via quick links available below. You just have to tap on the respective topic at your convenience and prepare the concepts within quite easily.
Eureka Math Grade 3 Module 5 Fractions as Numbers on the Number Line
Eureka Math Grade 3 Module 5 Topic A Partitioning a Whole into Equal Parts
- Eureka Math Grade 3 Module 5 Lesson 1 Answer Key
- Eureka Math Grade 3 Module 5 Lesson 2 Answer Key
- Eureka Math Grade 3 Module 5 Lesson 3 Answer Key
- Eureka Math Grade 3 Module 5 Lesson 4 Answer Key
Eureka Math 3rd Grade Module 5 Topic B Unit Fractions and Their Relation to the Whole
- Eureka Math Grade 3 Module 5 Lesson 5 Answer Key
- Eureka Math Grade 3 Module 5 Lesson 6 Answer Key
- Eureka Math Grade 3 Module 5 Lesson 7 Answer Key
- Eureka Math Grade 3 Module 5 Lesson 8 Answer Key
- Eureka Math Grade 3 Module 5 Lesson 9 Answer Key
Engage NY Math 3rd Grade Module 5 Topic C Comparing Unit Fractions and Specifying the Whole
- Eureka Math Grade 3 Module 5 Lesson 10 Answer Key
- Eureka Math Grade 3 Module 5 Lesson 11 Answer Key
- Eureka Math Grade 3 Module 5 Lesson 12 Answer Key
- Eureka Math Grade 3 Module 5 Lesson 13 Answer Key
Eureka Math Grade 3 Module 5 Mid Module Assessment Answer Key
EngageNY Math Grade 3 Module 5 Topic D Fractions on the Number Line
- Eureka Math Grade 3 Module 5 Lesson 14 Answer Key
- Eureka Math Grade 3 Module 5 Lesson 15 Answer Key
- Eureka Math Grade 3 Module 5 Lesson 16 Answer Key
- Eureka Math Grade 3 Module 5 Lesson 17 Answer Key
- Eureka Math Grade 3 Module 5 Lesson 18 Answer Key
- Eureka Math Grade 3 Module 5 Lesson 19 Answer Key
3rd Grade Eureka Math Module 5 Topic E Equivalent Fractions
- Eureka Math Grade 3 Module 5 Lesson 20 Answer Key
- Eureka Math Grade 3 Module 5 Lesson 21 Answer Key
- Eureka Math Grade 3 Module 5 Lesson 22 Answer Key
- Eureka Math Grade 3 Module 5 Lesson 23 Answer Key
- Eureka Math Grade 3 Module 5 Lesson 24 Answer Key
- Eureka Math Grade 3 Module 5 Lesson 25 Answer Key
- Eureka Math Grade 3 Module 5 Lesson 26 Answer Key
- Eureka Math Grade 3 Module 5 Lesson 27 Answer Key
Engage NY Grade 3 Module 5 Topic F Topic F Comparison, Order, and Size of Fractions
- Eureka Math Grade 3 Module 5 Lesson 28 Answer Key
- Eureka Math Grade 3 Module 5 Lesson 29 Answer Key
- Eureka Math Grade 3 Module 5 Lesson 30 Answer Key
Eureka Math Grade 3 Module 5 End of Module Assessment Answer Key
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Home > INT2 > Chapter 9 > Lesson 9.3.1
Lesson 9.1.1, lesson 9.1.2, lesson 9.1.3, lesson 9.1.4, lesson 9.2.1, lesson 9.2.2, lesson 9.3.1, lesson 9.3.2, lesson 9.3.3, lesson 9.3.4, lesson 9.4.1.
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Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies
Go Math Grade 1 Chapter 3 Answer Key Pdf: Students of First Grade can keep a track of their preparation level using the Go Math Grade 1 Answer Key Chapter 3 Addition Strategies. By Solving Problems from the Go Math Grade 1 Ch 3 Answers you can enhance your fundamentals both at Chapter Level and Lesson Level. The HMH Go Math Grade 1 Answer Key Chapter 3 Addition Strategies covers questions belonging to Lessons, Assessments, Homework & Practice, Review Tests, etc. You can download the First Grade Go Math Chapter 3 Answer Key and access the preparation material no matter whichever corner you are preparing.
Addition Strategies Go Math Grade 1 Chapter 3 Answer Key Pdf
To become proficient in the Concepts of Go Math Grade 1 Chapter 3 Addition Strategies all you need to do is be thorough with the concepts and solve the various questions from it. Access the Topicwise HMH Go Math Grade 1 Ch 3 Addition Strategies Solution Key by simply clicking on the direct links available. Enhance your conceptual knowledge taking the help of these quick resources and become a pro in the subject.
Addition Strategies
- Addition Strategies Show What You Know – Page 128
- Addition Strategies Vocabulary Builder – Page 129
- Addition Strategies Game: Ducky Sums – Page 130
- Addition Strategies Vocabulary Game – Page(130A-130B)
Lesson: 1 Algebra • Add in Any Order
- Lesson 3.1 Algebra • Add in Any Order – Page(131-136)
- Algebra • Add in Any Order Homework & Practice 3.1 – Page(135-136)
Lesson: 2 Count On
- Lesson 3.2 Count On – Page(137-142)
- Count On Homework & Practice 3.2 – Page(141-142)
Lesson: 3 Add Doubles
- Lesson 3.3 Add Doubles – Page(143-148)
- Add Doubles Homework & Practice 3.3 – Page(147-148)
Lesson: 4 Use Doubles to Add
- Lesson 3.4 Use Doubles to Add -Page(149-154)
- Use Doubles to Add Homework & Practice 3.4 – Page(153-154)
Lesson: 5 Doubles Plus 1 and Doubles Minus 1
- Lesson 3.5 Doubles Plus 1 and Doubles Minus 1 – Page(155-160)
- Doubles Plus 1 and Doubles Minus 1 Homework & Practice 3.5 – Page(159-160)
Lesson: 6 Practice the Strategies
- Lesson 3.6 Practice the Strategies – Page(161-166)
- Practice the Strategies Homework & Practice 3.6 – Page(165-166)
Mid-Chapter Checkpoint
- Addition Strategies Mid-Chapter Checkpoint – Page 164
Lesson: 7 Add 10 and More
- Lesson 3.7 Add 10 and More – Page(167-172)
- Add 10 and More Homework & Practice 3.7 – Page(171-172)
Lesson: 8 Make a 10 to Add
- Lesson 3.8 Make a 10 to Add – Page(173-178)
- Make a 10 to Add Homework & Practice 3.8 – Page(177-178)
Lesson: 9 Use Make a 10 to Add
- Lesson 3.9 Use Make a 10 to Add – Page(179-184)
- Use Make a 10 to Add Homework & Practice 3.9 – Page(183-184)
Lesson: 10 Algebra • Add 3 Numbers
- Lesson 3.10 Algebra • Add 3 Numbers – Page(185-190)
- Algebra • Add 3 Numbers Homework & Practice 3.10 – Page(189-190)
Lesson: 11 Algebra • Add 3 Numbers
- Lesson 3.11 Algebra • Add 3 Numbers – Page(191-196)
- Algebra • Add 3 Numbers Homework & practice 3.11 – Page(195-196)
Lesson: 12 Problem Solving • Use Addition Strategies
- Lesson 3.12 Problem Solving • Use Addition Strategies – Page(197-202)
- Problem Solving • Use Addition Strategies Homework & Practice 3.12 – Page(201-202)
- Addition Strategies Chapter 3 Review/Test – Page(203-206)
Curious George
![lesson 9 homework 3.1 answer key Go Math Grade 1 Answer Key Chapter 3 Addition Strategies 1](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Answer-Key-Chapter-3-Addition-Strategies-1.png?resize=579%2C384&ssl=1)
Addition Strategies Show What You Know
Model Addition
![lesson 9 homework 3.1 answer key Go Math Grade 1 Answer Key Chapter 3 Addition Strategies 2](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Answer-Key-Chapter-3-Addition-Strategies-2.png?resize=29%2C31&ssl=1)
2 + 3 = 5
Therefore, there are 5 in total
Use Symbols to Add Use the picture. Write the addition sentence.
![lesson 9 homework 3.1 answer key Go Math Grade 1 Answer Key Chapter 3 Addition Strategies 4](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Answer-Key-Chapter-3-Addition-Strategies-4.png?resize=240%2C173&ssl=1)
Answer: 2 + 4 = 6
Explanation:
The number of red bugs = 2
The number of green bugs = 4
Total : 2 + 4 = 6
Therefore, the total number of bug pictures are 6.
![lesson 9 homework 3.1 answer key Go Math Grade 1 Answer Key Chapter 3 Addition Strategies 5](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Answer-Key-Chapter-3-Addition-Strategies-5.png?resize=235%2C181&ssl=1)
The number of purple butterflies = 3
The number of orange butterflies = 1
Total butterflies : 3 + 1 = 4
Therefore, there are 4 butterflies
Add in Any Order
![lesson 9 homework 3.1 answer key Go Math Grade 1 Answer Key Chapter 3 Addition Strategies 6](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Answer-Key-Chapter-3-Addition-Strategies-6.png?resize=32%2C34&ssl=1)
Total : 1 + 4 = 5
![lesson 9 homework 3.1 answer key Go Math Grade 1 Answer Key Chapter 3 Addition Strategies 9](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Answer-Key-Chapter-3-Addition-Strategies-9.png?resize=250%2C74&ssl=1)
Total : 4 + 1 = 5
Addition Strategies Vocabulary Builder
Visualize It Write the addends and the sum for the addition sentence
![lesson 9 homework 3.1 answer key Go Math Grade 1 Answer Key Chapter 3 Addition Strategies 10](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Answer-Key-Chapter-3-Addition-Strategies-10.png?resize=526%2C251&ssl=1)
Understand Vocabulary Use a review word to complete the sentence.
Question 1. 4 and 3 in 4 + 3 = 7 are ___
In 4 + 3 = 7 , 4 and 3 are addends.
Question 2. 4 + 3 = 7 is an ___
4 + 3 = 7 is an Addition sentence.
Question 3. 4 cubes and 3 cubes are put together to __ the groups.
4 cubes and 3 cubes are put together to 7 the groups.
Addition Strategies Game: Ducky Sums
![lesson 9 homework 3.1 answer key Go Math Grade 1 Answer Key Chapter 3 Addition Strategies 11](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Answer-Key-Chapter-3-Addition-Strategies-11.png?resize=322%2C71&ssl=1)
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Addition Strategies Vocabulary Game
Going Places with GOMATH! words
Concentration
Materials 2 sets of word cards How to Play Play with a partner.
- Mix the cards. Put the cards in rows blank side up.
- If the words match, keep the pair of cards.
- If the words do not match, turn the cards blank side up again.
- The other player takes a turn.
- Find all the pairs. The player with more pairs wins.
![lesson 9 homework 3.1 answer key Go Math Grade 1 Answer Key Chapter 3 Addition Strategies 16.2](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Answer-Key-Chapter-3-Addition-Strategies-16.2.png?resize=606%2C310&ssl=1)
The Write Way
![lesson 9 homework 3.1 answer key Go Math Grade 1 Answer Key Chapter 3 Addition Strategies 16.3](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Answer-Key-Chapter-3-Addition-Strategies-16.3.png?resize=576%2C410&ssl=1)
Lesson 3.1 Algebra • Add in Any Order
Essential Question What happens if you change the order of the addends when you add?
Listen and Draw
![lesson 9 homework 3.1 answer key Go Math Grade 1 Answer Key Chapter 3 Addition Strategies 16.4](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Answer-Key-Chapter-3-Addition-Strategies-16.4.png?resize=64%2C31&ssl=1)
Answer: Addition sentence : 7 + 8 = 15
= 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
![lesson 9 homework 3.1 answer key Go Math Grade 1 Answer Key Chapter 3 Addition Strategies 18](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Answer-Key-Chapter-3-Addition-Strategies-18.png?resize=648%2C198&ssl=1)
Answer: Addition sentence ( changing the order ) : 8 + 7 = 15
= 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Math Talk MATHEMATICAL PRACTICES
Describe how knowing the fact 7 + 8 helps you find 8 + 7.
Model and Draw
![lesson 9 homework 3.1 answer key Go Math Grade 1 Answer Key Chapter 3 Addition Strategies 20](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Answer-Key-Chapter-3-Addition-Strategies-20.png?resize=556%2C212&ssl=1)
Answer: 5 + 6 = 11 Fact : Even after changing the order of addends , the sum is same .
Share and Show MATH BOARD
Add. Change the order of the addends. Add again.
![lesson 9 homework 3.1 answer key Go Math Grade 1 Answer Key Chapter 3 Addition Strategies 22](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Answer-Key-Chapter-3-Addition-Strategies-22.png?resize=150%2C158&ssl=1)
Answer: 8 + 9 = 17 Addition sentence after changing the order of addends = 9 + 8 = 17
![lesson 9 homework 3.1 answer key Go Math Grade 1 Answer Key Chapter 3 Addition Strategies 23](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Answer-Key-Chapter-3-Addition-Strategies-23.png?resize=148%2C162&ssl=1)
Answer: 6 + 7 = 1 3 Addition sentence after changing the order of addends = 7 + 6 = 13
![lesson 9 homework 3.1 answer key Go Math Grade 1 Answer Key Chapter 3 Addition Strategies 24](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Answer-Key-Chapter-3-Addition-Strategies-24.png?resize=143%2C156&ssl=1)
Answer: 7 + 5 = 12 Addition sentence after changing the order of addends = 5 + 7 = 12
![lesson 9 homework 3.1 answer key Go Math Grade 1 Answer Key Chapter 3 Addition Strategies 25](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Answer-Key-Chapter-3-Addition-Strategies-25.png?resize=151%2C161&ssl=1)
Answer: 2 + 8 = 10 Addition sentence after changing the order of addends = 8 + 2 = 10
![lesson 9 homework 3.1 answer key Go Math Grade 1 Answer Key Chapter 3 Addition Strategies 26](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Answer-Key-Chapter-3-Addition-Strategies-26.png?resize=153%2C173&ssl=1)
Answer: 9 + 2 = 11 Addition sentence after changing the order of addends = 2 + 9 = 11
![lesson 9 homework 3.1 answer key Go Math Grade 1 Answer Key Chapter 3 Addition Strategies 27](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Answer-Key-Chapter-3-Addition-Strategies-27.png?resize=156%2C163&ssl=1)
Answer: 8 + 4 = 12 Addition sentence after changing the order of addends = 4 + 8 = 12
On Your Own
MATHEMATICAL PRACTICE Attend to Precision Add. Change the order of the addends. Add again.
![lesson 9 homework 3.1 answer key Go Math Grade 1 Answer Key Chapter 3 Addition Strategies 28](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Answer-Key-Chapter-3-Addition-Strategies-28.png?resize=145%2C153&ssl=1)
Answer: 9 + 6 = 15 Addition sentence after changing the order of addends = 6 + 9 = 15
![lesson 9 homework 3.1 answer key Go Math Grade 1 Answer Key Chapter 3 Addition Strategies 29](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Answer-Key-Chapter-3-Addition-Strategies-29.png?resize=147%2C154&ssl=1)
Answer: 0 + 6 = 6 Addition sentence after changing the order of addends = 6 + 0 = 6
![lesson 9 homework 3.1 answer key Go Math Grade 1 Answer Key Chapter 3 Addition Strategies 30](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Answer-Key-Chapter-3-Addition-Strategies-30.png?resize=160%2C161&ssl=1)
Answer: 8 + 3 = 11 Addition sentence after changing the order of addends = 3 + 8 = 11
![lesson 9 homework 3.1 answer key Go Math Grade 1 Answer Key Chapter 3 Addition Strategies 31](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Answer-Key-Chapter-3-Addition-Strategies-31.png?resize=153%2C158&ssl=1)
Answer: 5 + 9 = 14 Addition sentence after changing the order of addends = 9 + 5 = 14
![lesson 9 homework 3.1 answer key Go Math Grade 1 Answer Key Chapter 3 Addition Strategies 32](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Answer-Key-Chapter-3-Addition-Strategies-32.png?resize=156%2C158&ssl=1)
Answer: 4 +5 = 9 Addition sentence after changing the order of addends = 5 + 4 = 9
![lesson 9 homework 3.1 answer key Go Math Grade 1 Answer Key Chapter 3 Addition Strategies 33](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Answer-Key-Chapter-3-Addition-Strategies-33.png?resize=168%2C160&ssl=1)
Answer: 8 + 5 = 13 Addition sentence after changing the order of addends = 5 + 8 = 13
Question 13. THINK SMARTER Nina uses the number sentence 3 + 7 = 10 to tell about her toy trucks. What other number sentence could Nina write to tell about her trucks using the same addends? __ = __ + __
Answer: Given, Addition sentence : 3 + 7 = 10 Other Addition sentence : 10 = 7 + 3
![lesson 9 homework 3.1 answer key Go Math Grade 1 Answer Key Chapter 3 Addition Strategies 34](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Answer-Key-Chapter-3-Addition-Strategies-34.png?resize=167%2C80&ssl=1)
Answer: Given , Addition sentence = 4 + 7 = 11 Other addition fact : 7 + 5 = 11
Problem Solving • Applications WRITE Math
Write two additional sentences you can use to solve the problem. Write the answer.
Question 15. Roy sees 4 big fish and 9 small fish. How many fish does Roy see? __ fish __ + __ = __ __ + __ = __
Explanation: Given, Number of big fishes = 4 Number of small fishes = 9 Total number of fishes = 4 + 9 = 13 Therefore, Roy sees 13 fishes Addition sentences: 4 + 9 = 1 3 9 + 3 = 13
Question 16. THINK SMARTER Justin has 6 toys. He gets 8 more toys. How many toys does he have now? __ toys __ + __ = __ __ + __ = __
Explanation: Given, Justin has 6 toys. Number of toys he gets more = 8 Total : 6 + 8 = 14 Therefore, the total number of toys = 14 Addition sentences: 6 + 8 = 14 8 + 6 = 14
![lesson 9 homework 3.1 answer key Go Math Grade 1 Answer Key Chapter 3 Addition Strategies 35](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Answer-Key-Chapter-3-Addition-Strategies-35.png?resize=110%2C135&ssl=1)
Answer: 5 + 5 = 10
Explanation : Given, Anna has 2 groups of pennies and also total number of pennies = 10 The addition sentence can be written with same addends as 5 + 5 = 10
Question 18. THINK SMARTER Write the addends in a different order. 3 + 4 = 7 __ + __ = 7
Answer: 4 + 3 = 7
TAKE HOME ACTIVITY • Ask your child to explain what happens to the sum when you change the order of the addends.
Algebra • Add in Any Order Homework & Practice 3.1
![lesson 9 homework 3.1 answer key Go Math Grade 1 Answer Key Chapter 3 Addition Strategies 36](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Answer-Key-Chapter-3-Addition-Strategies-36.png?resize=169%2C172&ssl=1)
Answer: 7 + 3 =10 3 + 7 = 10
![lesson 9 homework 3.1 answer key Go Math Grade 1 Answer Key Chapter 3 Addition Strategies 37](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Answer-Key-Chapter-3-Addition-Strategies-37.png?resize=169%2C182&ssl=1)
Answer: 4 + 7 = 11 7 + 4 = 11
![lesson 9 homework 3.1 answer key Go Math Grade 1 Answer Key Chapter 3 Addition Strategies 38](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Answer-Key-Chapter-3-Addition-Strategies-38.png?resize=178%2C178&ssl=1)
Answer: 9 + 8 = 17 8 + 9 = 17
Problem Solving
Write two additional sentences you can use to solve the problem.
Question 4. Camila has 5 shells. Then she finds 4 more shells. How many shells does she have now? __ + __ = __ __ + __ = __
Explanation : Given that, The number of shells Camila have = 5 The number of shells she finds more = 4 Total: 5+4= 9 Therefore, the number of shells she have now = 9 Addition sentences : 5 + 4 = 9 4 + 5 = 9
![lesson 9 homework 3.1 answer key Go Math Grade 1 Answer Key Chapter 3 Addition Strategies 39](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Answer-Key-Chapter-3-Addition-Strategies-39.png?resize=309%2C195&ssl=1)
13 can be shown as the sum of 6 and 7 6 + 7 = 13
![lesson 9 homework 3.1 answer key Go Math Grade 1 Answer Key Chapter 3 Addition Strategies 42](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Answer-Key-Chapter-3-Addition-Strategies-42.png?resize=37%2C47&ssl=1)
Lesson Check
Question 1. What is another way to write 7 + 6 = 13? 6 + 7 = __
Answer: 6 + 7 = 13
Grade 1 Go Math Chapter 3 Lesson 1 Answer Key Question 2. What is another way to write 6 + 8 = 14? 8 + 6 = __
Answer: 8 + 6 = 14
Spiral Review
Question 3. What is the sum? Write the number.
![lesson 9 homework 3.1 answer key Go Math Grade 1 Answer Key Chapter 3 Addition Strategies 40](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Answer-Key-Chapter-3-Addition-Strategies-40.png?resize=83%2C87&ssl=1)
Question 4. How many nests are there? Write the number. 2 nests and 1 more nest __ nests
Explanation : 2 + 1 = 3 Therefore, the total number of nests = 3
Lesson 3.2 Count On
Essential Question How do you count on 1, 2, or 3?
Start at 9. How can you count on to add? Add 1.
![lesson 9 homework 3.1 answer key Go Math Grade 1 Answer Key Chapter 3 Addition Strategies 41](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Answer-Key-Chapter-3-Addition-Strategies-41.png?resize=505%2C408&ssl=1)
Add 1. 9 + 1 =10 Add 2. 9 + 2 = 11 Add 3. 9 + 3 = 12
Math Talk MATHEMATICAL PRACTICES Analyze How is counting on 2 like adding 2?
![lesson 9 homework 3.1 answer key Go Math Grade 1 Answer Key Chapter 3 Addition Strategies 43](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Answer-Key-Chapter-3-Addition-Strategies-43.png?resize=224%2C146&ssl=1)
Answer: Greater addend : 6 6 + 2 = 8
![lesson 9 homework 3.1 answer key Go Math Grade 1 Answer Key Chapter 3 Addition Strategies 44](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Answer-Key-Chapter-3-Addition-Strategies-44.png?resize=113%2C92&ssl=1)
Answer: Greater addend : 6 6 + 3 = 9
![lesson 9 homework 3.1 answer key Go Math Grade 1 Answer Key Chapter 3 Addition Strategies 45](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Answer-Key-Chapter-3-Addition-Strategies-45.png?resize=112%2C88&ssl=1)
Answer: Greater addend = 6 6 + 1 = 7
![lesson 9 homework 3.1 answer key Go Math Grade 1 Answer Key Chapter 3 Addition Strategies 46](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Answer-Key-Chapter-3-Addition-Strategies-46.png?resize=108%2C81&ssl=1)
Answer: Greater addend : 7 7 + 1 = 8
![lesson 9 homework 3.1 answer key Go Math Grade 1 Answer Key Chapter 3 Addition Strategies 47](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Answer-Key-Chapter-3-Addition-Strategies-47.png?resize=112%2C86&ssl=1)
Answer: Greater addend = 7 7 + 2 = 9
![lesson 9 homework 3.1 answer key Go Math Grade 1 Answer Key Chapter 3 Addition Strategies 48](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Answer-Key-Chapter-3-Addition-Strategies-48.png?resize=113%2C85&ssl=1)
Answer: Greater addend : 7 7 + 3 = 10
MATHEMATICAL PRACTICE Circle the greater addend. Count on to find the sum.
![lesson 9 homework 3.1 answer key Go Math Grade 1 Answer Key Chapter 3 Addition Strategies 49](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Answer-Key-Chapter-3-Addition-Strategies-49.png?resize=61%2C64&ssl=1)
Answer: Greater addend : 9 1 + 9 = 10
![lesson 9 homework 3.1 answer key Go Math Grade 1 Answer Key Chapter 3 Addition Strategies 50](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Answer-Key-Chapter-3-Addition-Strategies-50.png?resize=61%2C69&ssl=1)
Answer: Greater addend : 8 3 + 8 = 11
![lesson 9 homework 3.1 answer key Go Math Grade 1 Answer Key Chapter 3 Addition Strategies 51](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Answer-Key-Chapter-3-Addition-Strategies-51.png?resize=64%2C67&ssl=1)
Answer: Greater addend : 8 1 + 8 = 9
![lesson 9 homework 3.1 answer key Go Math Grade 1 Answer Key Chapter 3 Addition Strategies 52](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Answer-Key-Chapter-3-Addition-Strategies-52.png?resize=64%2C72&ssl=1)
Answer: Greater addend : 6 1 + 6 = 7
![lesson 9 homework 3.1 answer key Go Math Grade 1 Answer Key Chapter 3 Addition Strategies 53](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Answer-Key-Chapter-3-Addition-Strategies-53.png?resize=61%2C64&ssl=1)
Answer : Greater addend : 9 9 + 3 =12
![lesson 9 homework 3.1 answer key Go Math Grade 1 Answer Key Chapter 3 Addition Strategies 54](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Answer-Key-Chapter-3-Addition-Strategies-54.png?resize=64%2C70&ssl=1)
Answer: Greater addend : 7 7 + 2 = 9
![lesson 9 homework 3.1 answer key Go Math Grade 1 Answer Key Chapter 3 Addition Strategies 55](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Answer-Key-Chapter-3-Addition-Strategies-55.png?resize=65%2C73&ssl=1)
Answer: Greater addend : 6 2 + 6 = 8
![lesson 9 homework 3.1 answer key Go Math Grade 1 Answer Key Chapter 3 Addition Strategies 56](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Answer-Key-Chapter-3-Addition-Strategies-56.png?resize=57%2C71&ssl=1)
Answer: Greater addend : 5 + 3 = 8
![lesson 9 homework 3.1 answer key Go Math Grade 1 Answer Key Chapter 3 Addition Strategies 57](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Answer-Key-Chapter-3-Addition-Strategies-57.png?resize=63%2C81&ssl=1)
Answer: Greater addend : 7 7 + 1 = 8
![lesson 9 homework 3.1 answer key Go Math Grade 1 Answer Key Chapter 3 Addition Strategies 58](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Answer-Key-Chapter-3-Addition-Strategies-58.png?resize=59%2C72&ssl=1)
Answer: Greater addend = 7 3 + 7 =10
![lesson 9 homework 3.1 answer key Go Math Grade 1 Answer Key Chapter 3 Addition Strategies 59](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Answer-Key-Chapter-3-Addition-Strategies-59.png?resize=59%2C74&ssl=1)
Answer: Greater addend : 9 9 + 2 = 11
![lesson 9 homework 3.1 answer key Go Math Grade 1 Answer Key Chapter 3 Addition Strategies 60](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Answer-Key-Chapter-3-Addition-Strategies-60.png?resize=57%2C72&ssl=1)
Answer: Greater addend : 4 3 + 4 = 7
Question 19. GO DEEPER Adam has 6 hats. Molly has 3 hats. They stack all their hats. Then Blake puts 2 more hats on the stack. How many hats are on the stack? __ + __ = ___ hats __ + __ = ___ hats
Answer: 6 + 3 = 9 9 + 2 = 11
Question 20. MATHEMATICAL PRACTICE Explain Terry added 3 and 7. He got a sum of 9. His answer is not correct. Describe how Terry can find the correct sum. _______________ _ _ _ _ _ _ _ _ _ _ _ _______________ _______________ _ _ _ _ _ _ _ _ _ _ _ _______________
Answer: No, he is wrong. The sum of 3 and 7 is 10 Addition sentence : 3 + 7 = 10 Starts at 7 and counts by 3, means 8, 9, 10 So, the answer is 0.
Draw to solve. Write the addition sentence.
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 61](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-61.png?resize=79%2C80&ssl=1)
Explanation : Given that, The number of oranges Cindy and Joe pick = 8 The number of more oranges they pick = 3 Total : 8 + 3 = 11 oranges Therefore, the number of total oranges = 11
________________________________________________________________________________________________________
1 2 3 4 5 6 7 8 9 10 11
Which three numbers can you use to complete the problem?
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 62](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-62.png?resize=207%2C174&ssl=1)
Explanation : Jennifer has 7 stamps Number of more stamps = 3 Addition sentence : 7 + 3 = 10
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 63](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-63.png?resize=67%2C64&ssl=1)
TAKE HOME ACTIVITY • Have your child tell you how to count on to find the sum for 6 + 3.
Count On Homework & Practice 3.2
Circle the greater addend. Count on to find the sum.
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 64](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-64.png?resize=81%2C85&ssl=1)
Answer: Greater addend : 8 8 + 2 = 10
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 65](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-65.png?resize=84%2C81&ssl=1)
Answer: Greater addend : 7 1 + 7 = 8
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 66](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-66.png?resize=76%2C87&ssl=1)
Answer: Greater addend : 9 3 + 9 = 12
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 67](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-67.png?resize=71%2C78&ssl=1)
Answer: Greater addend : 5 5 + 3 = 8
Go Math 1 Circle The Greater Addend Count on to Find the Sum Question 5. Jon eats 6 crackers. Then he eats 3 more crackers. How many crackers does he eat? __ + __ = __ crackers
Explanation : Number of crackers Jon eat = 6 Number of crackers he ate more = 3 Total : 6 + 3 = 9 Crackers Therefore, Jon ate 9 crackers .
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 68](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-68.png?resize=385%2C204&ssl=1)
Answer: 9 + 3 = 12
Question 1. Count on to solve 5 + 2. Write the sum __
Answer: 5 + 2 = 7
Question 2. Count on to solve 1 + 9. Write the sum. __
Answer: 1 + 9 = 10
Question 3. What does the model show? __ + __ = ___
Answer: 3 + 3 = 6
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 69](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-69.png?resize=188%2C107&ssl=1)
Answer: 4 + 2 = 6
Lesson 3.3 Add Doubles
Essential Question What are doubles facts?
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 70](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-70.png?resize=29%2C29&ssl=1)
__ + __ = __
Answer: 2 + 2 = 4
Math Talk MATHEMATICAL PRACTICES Use Tools Describe how your model shows a doubles fact.
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 71](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-71.png?resize=556%2C159&ssl=1)
Answer: Answer:
1 + 1 = 2 2 + 2 = 4
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 72](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-72.png?resize=34%2C28&ssl=1)
_____________________________
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 75](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-75.png?resize=71%2C76&ssl=1)
Answer: 4 + 4 = 8
___________________________
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 76](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-76.png?resize=101%2C86&ssl=1)
_______________________________________________
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 77](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-77.png?resize=80%2C82&ssl=1)
Answer: 6 + 6 = 12
____________________________________________________________________________
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 78](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-78.png?resize=31%2C33&ssl=1)
Answer: 7 + 7 = 14
______________________________________________________________________________
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 81](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-81.png?resize=81%2C82&ssl=1)
Answer: 8 + 8 = 16
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![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 82](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-82.png?resize=32%2C32&ssl=1)
________________________________________________________________
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 84](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-84.png?resize=68%2C81&ssl=1)
Answer: 10 + 10 = 20
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 87](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-87.png?resize=68%2C77&ssl=1)
Write a doubles fact to solve.
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 89](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-89.png?resize=87%2C97&ssl=1)
Answer : 16
Explanation : The number of apples meg kept in a basket = 8 The number of apples Paul kept in a basket = 8 Total : 8 + 8 = 16 apples Therefore, total number of apples in the basket = 16
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 90](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-90.png?resize=119%2C152&ssl=1)
Answer : 9 + 9 = 18
Explanation : Given, Total number of people in the party = 18 Also given , The number of boys is the same as the number of girls. So, 9 + 9 = 18.
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 91](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-91.png?resize=368%2C294&ssl=1)
Answer: The number sentence with doubles fact = 4 + 4 = 8
TAKE HOME ACTIVITY • Have your child choose a number from 1 to 10 and use that number in a doubles fact. Repeat with other numbers.
Add Doubles Homework & Practice 3.3
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 92](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-92.png?resize=36%2C43&ssl=1)
Question 4.
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 97](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-97.png?resize=89%2C88&ssl=1)
Go Math Grade 1 Pdf Lesson 3.3 Eat It or Toss It Answer Key Question 5. There are 16 crayons in the box. Some are green and some are red. The number of green crayons is the same as the number of red crayons. __ = __ + __
Answer: 16 = 8 + 8
Given , The total number of crayons in the box = 16 Also give, the number of green crayons is the same as the number of red crayons. Now, By using doubles fact we can write number sentence as: 8 + 8 = 16
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 98](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-98.png?resize=366%2C150&ssl=1)
Question 1. Write a doubles fact with the sum of 18. __ + __ = 18
Answer: A doubles fact with the sum of 18 = 9 + 9 = 18
Question 2. Write a doubles fact with the sum of 12. __ + __ = 12
Answer: A doubles fact with the sum of 12 = 6 + 6 = 12
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 99](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-99.png?resize=37%2C39&ssl=1)
Explanation: The sum of 3 and 2 is 5 Number sentence : 3 + 2 = 5
Question 4. Draw circles to show the numbers. Write the sum. __ + __ = __
![lesson 9 homework 3.1 answer key Go Math Grade 1 Answer Key Chapter 3 img_1](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/03/Go-Math-Grade-1-Answer-Key-Chapter-3-img_1.png?resize=300%2C122&ssl=1)
Lesson 3.4 Use Doubles to Add
Essential Question How can you use doubles to help you add?
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 100](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-100.png?resize=620%2C475&ssl=1)
There are __ fish.
Look for Structure How does knowing 3 + 3 help you solve the problem?
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 101](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-101.png?resize=636%2C313&ssl=1)
Answer: 6 + 7 = 13 By using doubles fact , 13 can be shown as 6 + 6 + 1 = 13
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 102](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-102.png?resize=53%2C31&ssl=1)
Answer : 9 + 8 = 17 8 + 8 + 1 = 17 So, 9 + 8 = 17
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 104](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-104.png?resize=240%2C286&ssl=1)
Answer: 5 + 5 + 1 = 11 So, 5 + 6 = 11
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 105](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-105.png?resize=52%2C29&ssl=1)
Answer: 7 + 8 = 15 By using doubles fact , 7 + 7 + 1 = 15
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 108](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-108.png?resize=241%2C215&ssl=1)
Answer : 5 + 4 = 9 By using doubles fact , 4 + 4 + 1 = 9
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 109](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-109.png?resize=118%2C141&ssl=1)
Answer : 17
Explanation : Given , the total number of leaves = 17 Also given , Mandy has the same number of red and yellow leaves And also find another yellow flower By using doubles plus one effect , we can show addition sentence as : 8 + 8 + 1 = 17 Therefore, Number of red flowers = 8 Number of yellow flowers = 9.
GO DEEPER Explain Would you use count on or doubles to solve? Why?
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 110](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-110.png?resize=287%2C123&ssl=1)
Answer: 3 + 3 + 1 = 7 Doubles plus one fact.
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 111](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-111.png?resize=281%2C125&ssl=1)
Answer : 9 and count on 3
Problem Solving • Applications
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 112](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-112.png?resize=559%2C411&ssl=1)
Explanation: The number of red cubes = 7 The number of yellow cubes = 8 Total : 7 + 8 = 15 Number sentence with double fact = 7 + 7+ 1 = 15 So, 7 + 8 = 15
TAKE HOME ACTIVITY • Ask your child to show you how to use what he or she knows about doubles to help solve 6 + 5.
Use Doubles to Add Homework & Practice 3.4
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 114](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-114.png?resize=70%2C42&ssl=1)
Answer: 5 + 6 = 11 The number sentence with doubles fact = 5 + 5 + 1 = 11
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 116](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-116.png?resize=235%2C273&ssl=1)
Answer: 9 + 8 = 17 The number sentence with doubles fact = 8 + 8 + 1 = 17
Use doubles to help you add.
Question 3. 8 + 7 = __ Answer: Doubles plus one fact.
Explanation : 8 + 7 = 15 The number sentence with doubles fact : 7 + 7 + 1 = 15
Question 4. 6 + 5 = __
Answer: Doubles plus one fact.
Explanation : 6 + 5 = 11 The number sentence with doubles plus one fact : 5 + 5 + 1 = 11
Question 5. 7 + 6 = __
Answer: Doubles plus one fact .
Explanation : 7 + 6 = 13 The number sentence with doubles plus one fact : 6 + 6 + 1 = 13
Solve. Draw or write to explain.
Go Math 1st Grade Lesson 1 Homework 3.4 Question 6. Bo has 6 toys. Mia has 7 toys. How many toys do they have? __ toys
Explanation: The number of toys Bo have = 6 The number of toys Mia have = 7 Total : 6 +7 = 13 Therefore, the total number of toys they both have = 13
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 117](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-117.png?resize=331%2C130&ssl=1)
Question 1. Use doubles to find the sum of 7 + 8. Write the number sentence. __ + __ + __ = __ Answer: The sum of 7 + 8 = 15 The number sentence with doubles plus one fact : 7 + 7 + 1 = 15
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 118](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-118.png?resize=467%2C71&ssl=1)
Answer: 8 – 6 = 2
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 119](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-119.png?resize=193%2C163&ssl=1)
Answer: 7 – 2 = 5 Therefore, there are 5 fewer black kittens are there than gray kittens.
Lesson 3.5 Doubles Plus 1 and Doubles Minus 1
Essential Question How can you use what you know about doubles to find other sums?
How can you use the doubles fact, 4 + 4, to solve each problem? Draw to show how. Complete the addition sentence.
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 120](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-120.png?resize=574%2C282&ssl=1)
- 4 + 4 + 1 = 9 – Doubles plus one fact
- 4 + 4 – 1 = 7 – Doubles minus one fact.
Explain what happens to the doubles fact when you increase one addend by one or decrease one addend by one.
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 121](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-121.png?resize=62%2C35&ssl=1)
Answer: 2 + 2 = 4 2+ 2+ 1 = 5 doubles plus one 2 + 2 – 1 = 3 – doubles minus one.
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 123](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-123.png?resize=623%2C105&ssl=1)
Answer : 3 + 3 = 6 3 + 3 + 1 = 7 – Doubles plus one 3 + 3 – 1 = 5 – Doubles minus one
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 124](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-124.png?resize=631%2C92&ssl=1)
Answer : 4 + 4 = 8 4 + 4 + 1 = 9 – Doubles plus one 4 + 4 – 1 = 7 – Doubles minus one
MATHEMATICAL PRACTICE Make Connections Add. Write the doubles fact you used to solve the problem.
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 125](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-125.png?resize=298%2C63&ssl=1)
Explanation : 8 + 9 = 17 The number sentence with doubles plus one fact : 8 + 8 + 1 = 17
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 126](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-126.png?resize=300%2C59&ssl=1)
Answer: Doubles plus one fact . Explanation : 2 + 3 = 5 The number sentence with doubles plus one fact : 2 + 2 + 1 = 5
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 127](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-127.png?resize=306%2C65&ssl=1)
Explanation : 7 + 6 = 13 The number sentence with doubles plus one fact : 6 + 6 + 1 = 15
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 127.1](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-127.1.png?resize=302%2C65&ssl=1)
Explanation : 6 + 5 = 11 The number sentence with doubles plus one fact : 5 + 5 + 1 = 15
Explanation : 3 + 4 = 7 The number sentence with doubles plus one fact : 3 + 3 + 1 = 7
Explanation : 4 + 5 = 9 The number sentence with doubles plus one fact : 4 + 4 + 1 = 15
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 128](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-128.png?resize=626%2C165&ssl=1)
Answer : 13
Explanation : The number of toy ducks Brianna
THINK SMARTER Add. Write the doubles plus one fact. Write the doubles minus one fact.
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 129](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-129.png?resize=654%2C120&ssl=1)
Answer : 6 + 6 = 12 6 + 6 + 1 = 1 3 6 + 6 – 1 = 11
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 130](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-130.png?resize=426%2C403&ssl=1)
Answer : 9 + 9 = 18 – No 5 + 5 = 10 -Yes 4 + 4 = 8 – Yes
TAKE HOME ACTIVITY • Have your child explain how to use a doubles fact to solve the doubles plus one fact 4 + 5 and the doubles minus one fact 4 + 3.
Doubles Plus 1 and Doubles Minus 1 Homework & Practice 3.5
Add. Write the doubles fact you used to solve the problem.
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 132](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-132.png?resize=277%2C64&ssl=1)
Explanation : 8 + 7 = 15 The number sentence with doubles plus one fact : 7 + 7 + 1 = 15
Explanation : 6 + 7 = 13 The number sentence with doubles plus one fact : 6 + 6 + 1 = 13
Explanation : 4 + 3 = 7 The number sentence with doubles plus one fact : 3 + 3 + 1 = 7
Explanation : 2 + 1 = 3 The number sentence with doubles plus one fact : 1 + 1 + 1 = 3
Explanation : 3 + 2 = 5 The number sentence with doubles plus one fact : 2 + 2 + 1 = 5
Question 7. Andy writes an additional fact. One addend is 9. The sum is 17. What is the other addend? Write the additional fact. __ + ___ = 17
Answer : 9 + 8 = 17 Therefore, other addends = 8
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 133](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-133.png?resize=366%2C173&ssl=1)
Answer : 4 + 5 = 9 By using doubles plus one fact , 4 + 4 + 1 = 9
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 134](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-134.png?resize=109%2C119&ssl=1)
Answer: The number sentence with double plus one : 2 + 2 + 1 = 5
Question 2. Which doubles fact helps you solve 8 + 7 = 15? Write the number sentence. __ + __ + __
Answer: 8 + 7 = 15 The number sentence with doubles plus one fact : 7 + 7 + 1 = 15
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 135](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-135.png?resize=276%2C58&ssl=1)
Answer : 7 + 2 = 9 Therefore, total number of dogs = 9
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 136](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-136.png?resize=40%2C33&ssl=1)
Answer : 2 + 1 = 3
Lesson 3.6 Practice the Strategies
Essential Question What strategies can you use to solve addition fact problems?
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 136.1](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-136.1.png?resize=512%2C396&ssl=1)
Math Talk MATHEMATICAL PRACTICES Look for Structure Why is the sum the same when you use different strategies?
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 137](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-137.png?resize=542%2C167&ssl=1)
Answer : 4 + 1 =5 5+ 1 = 6 6+ 1= 7 7 + 1 = 8
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 139](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-139.png?resize=178%2C240&ssl=1)
5+ 2= 7 6 + 2 = 8 7 + 2 = 9 8 + 2 = 10
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 140](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-140.png?resize=188%2C240&ssl=1)
Answer : 6 + 3 = 9 7 + 3 = 10 8 + 3 = 11 9 + 3 = 1 2
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 141](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-141.png?resize=203%2C237&ssl=1)
Answer : 7 + 7 = 14 8 + 8 = 16 9 + 9 =18 10 + 10 = 20
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 142](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-142.png?resize=217%2C274&ssl=1)
Answer : Doubles plus one : 5 + 5 + 1 = 11 6 + 6 + 1 = 13 Doubles minus one : 7 + 7 – 1 = 15 8 + 8 -1 = 17
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 143](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-143.png?resize=55%2C30&ssl=1)
Question 6. 9 + 9 = __
Question 7. 7 + 1 = __
Question 8. 5 + 3 = __
Question 9. 2 + 9 = __
Answer : 2 + 9 = 11
Question 10. 7 + 3 = __
Answer : 7 + 3 = 10
Question 11. 7 + 7 = __
Answer : 7 + 7 = 14
Question 12. 6 + 5 = __
Answer : 6 + 5 = 11
Question 13. 2 + 8 = __
Answer : 8 + 2 = 10
Question 14. 8 + 8 = __
Answer : 8 + 8 = 16
Question 15. 8 +9 = __
Answer : 8 + 9 = 17
Question 16. 9 + 3 = __
Answer : 9 + 3 = 12
Question 17. 7 + 8 = __
Answer : 7 + 8 = 15
THINK SMARTER Make a counting on the problem. Write the missing numbers.
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 145.1](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-145.1.png?resize=246%2C273&ssl=1)
Answer : The birds on a tree = 7 The number of birds flew there = 3 Total : 7 + 3 = 10
TAKE HOME ACTIVITY • Have your child point out a doubles fact, a doubles plus one fact, a doubles minus one fact, and a fact he or she solved by counting on. Have him or her describe how each strategy works.
Practice the Strategies Homework & Practice 3.6
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 145.2](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-145.2.png?resize=77%2C31&ssl=1)
Answer : 8 + 1 = 9
Answer : 1 + 7 = 8
Answer : 8 + 3 = 11
Answer : 5 + 5 = 10
Answer : 8 + 7 = 15
Answer : 6 + 3 = 9
Answer : 6 + 6 = 12
Make a counting on problem. Write the missing numbers.
Question 10. __ apples are in a bag. __ more apples are put in the bag. How many apples are in the bag now? __ apples
Answer : 5 apples are in a bag. 2 more apples are put in the bag. Total number of apples = 5 + 2 = 7
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 146](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-146.png?resize=332%2C136&ssl=1)
Question 1. Which strategy would you use to find 2 + 8? Explain how you decided. _________________________ _________________________
Answer : Count on. 8 + 2 = 10
Question 2. What is the sum of 9 + 9? Write the number. __
Answer: 18 The sum of 9 + 9= 18
Question 3. What is the sum of 5 + 2 or 2 + 5? Why is the sum the same? _________________________ _________________________
Answer: The sum of 5 + 2 or 2 + 5 = 7 The sum is same because
Question 4. How many flowers are there? Write the number. 3 flowers and 3 more flowers __ flowers
Answer: 6 3 + 3 = 6
Addition Strategies Mid-Chapter Checkpoint
Concepts and Skills
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 147](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-147.png?resize=195%2C163&ssl=1)
Answer : 4 + 8 = 12
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 148](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-148.png?resize=193%2C161&ssl=1)
Answer : 9 + 7 = 16
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 149](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-149.png?resize=58%2C70&ssl=1)
Answer: Greater addend : 7 3 + 7 = 10
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 151](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-151.png?resize=64%2C81&ssl=1)
Answer : Greater addend : 6 6 + 3 = 9
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 153](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-153.png?resize=66%2C75&ssl=1)
Answer : Greater addend : 7 7 + 1 = 8
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 154](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-154.png?resize=63%2C76&ssl=1)
Answer : Greater addend : 8 2 + 8 = 10
Question 9. 7 + 8 = __
Answer : 7 + 8 = 15 Doubles fact : 7 + 7 + 1 = 15
Question 10. 6 + 7 = __
Answer : 6 +7 = 13 Doubles fact : 6 + 6 + 1 = 13
Question 11. 9 + 8 = __
Answer : 9 + 8 = 17 Doubles fact : 8 + 8 +1 = 17
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 155](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-155.png?resize=459%2C97&ssl=1)
Answer : Count on fact to show sum of 8 = 7 +1 = 8 Doubles fact plus one = 4+ 4+ 1 = 8
Lesson 3.7 Add 10 and More
Essential Question How can you use a ten frame to add 10 and some more?
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 156](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-156.png?resize=69%2C39&ssl=1)
Answer: 10+ 5 = 15
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 157](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-157.png?resize=31%2C37&ssl=1)
Math Talk MATHEMATICAL PRACTICES Reasoning Explain how your model shows 10 + 5.
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 156.2](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-156.2.png?resize=580%2C181&ssl=1)
Answer: 10 + 3 = 13
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 160](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-160.png?resize=272%2C105&ssl=1)
Answer : 10+ 1 = 11
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 162](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-162.png?resize=268%2C92&ssl=1)
Answer : 10 + 2 = 12
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 163](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-163.png?resize=276%2C101&ssl=1)
Answer : 10+ 4 = 14
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 164](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-164.png?resize=282%2C98&ssl=1)
Answer : 10+ 7 = 17
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 165](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-165.png?resize=30%2C34&ssl=1)
Answer: 10 + 8 = 18
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 166.2](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-166.2.png?resize=280%2C98&ssl=1)
Answer: 10 + 2 = 12
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 167](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-167.png?resize=279%2C90&ssl=1)
Answer: 10 + 6 = 16
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 168](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-168.png?resize=286%2C89&ssl=1)
Answer: 10+9 = 19
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 169](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-169.png?resize=75%2C81&ssl=1)
Answer: 10+ 1 = 11
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 170](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-170.png?resize=78%2C81&ssl=1)
Answer : 4 + 10 = 14
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 171](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-171.png?resize=82%2C80&ssl=1)
Answer : 5 + 10 = 15
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 172](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-172.png?resize=68%2C91&ssl=1)
Answer : 10 + 3 = 13
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 173](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-173.png?resize=74%2C72&ssl=1)
0 + 10 = 10
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 173.1](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-173.1.png?resize=29%2C39&ssl=1)
Answer: 10+ 4 = 14
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 175](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-175.png?resize=67%2C37&ssl=1)
Answer: 1 7
Explanation : The number of crayons Marina have = 10 The number of crayons she gets more = 7 Addition sentence : 1 0 + 7 = 17 Therefore, total crayons Marina have = 17
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 176](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-176.png?resize=627%2C263&ssl=1)
TAKE HOME ACTIVITY • Have your child choose a number between 1 and 10 and then find the sum of 10 and that number. Repeat using other numbers.
Add 10 and More Homework & Practice 3.7
Draw red ○ to show 10. Draw ○ yellow to show the other addend. Write the sum.
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 177](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-177.png?resize=285%2C106&ssl=1)
Answer : 10 + 7 = 17
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 178](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-178.png?resize=298%2C108&ssl=1)
Answer : 10+ 5 = 15
Draw red and yellow ○ to solve. Write the addition sentence.
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 179](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-179.png?resize=209%2C98&ssl=1)
Question 3. Linda has 10 toy cars. She gets 6 more cars. How many toy cars does she have now? __ + __ = __ toy cars
Explanation: The number of toys Linda have = 10 The number of toys she gets more = 6 Total : 10 + 6 = 16 Therefore, the total number of toys she have now = 16
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 180](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-180.png?resize=355%2C197&ssl=1)
Answer: The addition sentence : 10 + 8 = 18
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 184](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-184.png?resize=626%2C53&ssl=1)
2. 5 + 5 = 10
3. 8 + 2 = 10
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 185](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-185.png?resize=633%2C53&ssl=1)
Explanation : The number of large turtles : 3 The number of small turtles = 1 Number sentence : 3 + 1 = 4 Therefore, total number of turtles = 4
Lesson 3.8 Make a 10 to Add
Essential Question How do you use the make a ten strategy to add?
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 185.1](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-185.1.png?resize=67%2C43&ssl=1)
Answer: 9 + 6 = 15 9 + 1 = 10 10 + 5 = 15
Math Talk MATHEMATICAL PRACTICES Use Tools Why do you start by putting 9 counters in the ten frame?
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 187](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-187.png?resize=686%2C217&ssl=1)
Answer : 9 + 5 = 14 9 + 1 = 10 So, 10 + 4 = 14
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 190](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-190.png?resize=656%2C145&ssl=1)
Answer : 4 + 7 = 11 7 + 3 = 10 10 + 1 = 11
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 191](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-191.png?resize=655%2C165&ssl=1)
Answer : 9 + 8 = 17 9 + 1 = 10 10+ 7 = 17
MATHEMATICAL PRACTICE Use a Concrete Model
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 192](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-192.png?resize=68%2C47&ssl=1)
Answer : 8 + 2 = 10 10 + 3 = 13 So, 5 + 8 = 13
Draw to make a ten. Write the missing number.
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 193](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-193.png?resize=219%2C104&ssl=1)
Answer : 16 times
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 194](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-194.png?resize=703%2C303&ssl=1)
Question 7. 10 + 8 has the same sum as 9 + __.
Answer: 10+ 8 = 18 9 + 9 = 18
Question 8. 10 + 7 has the same sum as 8 + __.
Answer: 10 + 7 = 17 8 + 9 = 17
Question 9. 10 + 5 has the same sum as 6 + __.
Answer : 10 +5 = 15 6 + 9 = 15
Question 10. GO DEEPER Write the numbers 6, 8, or 10 to complete the sentence __ + __ has the same sum as __ + 8
Answer: 10+ 6 = 18 has the same sum of 8 + 8.
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 195](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-195.png?resize=388%2C242&ssl=1)
Answer: 7 + 3 = 10 10 + 1 = 11 So, 7 + 4 = 11
TAKE HOME ACTIVITY • Cut off 2 cups from an egg carton or draw a 5-by-2 grid on a sheet of paper to create a ten frame. Have your child use small objects to show how to make a ten to solve 8 + 3, 7 + 6, and 9 + 9.
Make a 10 to Add Homework & Practice 3.8
Use red and yellow ○ and a ten frame. Show both addends. Draw to make a ten. Then write the new fact. Add.
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 196](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-196.png?resize=675%2C174&ssl=1)
Answer: 5 + 5 = 10 10 + 2 = 12 So, 5 + 7 = 12
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 197](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-197.png?resize=671%2C175&ssl=1)
Answer: 9 + 1 = 10 10 + 4 = 14 So, 9 + 5 = 14
Solve. Question 3. 10 + 6 has the same sum as 7 + __.
Answer: 9 10 + 6 = 16 7 + 9 = 16
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 198](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-198.png?resize=329%2C210&ssl=1)
Answer: 5 + 7 = 12 5 + 5 = 10 10 + 2 = 12
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 199](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-199.png?resize=410%2C187&ssl=1)
Answer: Number sentence : 10 + 5 = 15
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 200](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-200.png?resize=407%2C174&ssl=1)
Answer: Number sentence : 10 + 4 = 14
Question 3. What is the sum of 4 + 6? Write the sum. __
Answer: 4 + 6 = 8 The sum of 4 + 6 = 8
![lesson 9 homework 3.1 answer key Go Math Grade 1 Chapter 3 Answer Key Pdf Addition Strategies 201](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Grade-1-Chapter-3-Answer-Key-Pdf-Addition-Strategies-201.png?resize=265%2C58&ssl=1)
Explanation : The number of big flowers = 2 The number of small flowers = 4 Number sentence : 2 + 4 = 6 Therefore, Total number of flowers = 6
Lesson 3.9 Use Make a 10 to Add
Essential Question How can you make a ten to help you add?
![lesson 9 homework 3.1 answer key Go Math Answer Key Grade 1 Chapter 3 Addition Strategies 202](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Answer-Key-Grade-1-Chapter-3-Addition-Strategies-202.png?resize=471%2C393&ssl=1)
Math Talk MATHEMATICAL PRACTICES Represent Describe how the drawings show how to make a ten to solve 6 + 7.
![lesson 9 homework 3.1 answer key Go Math Answer Key Grade 1 Chapter 3 Addition Strategies 203](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Answer-Key-Grade-1-Chapter-3-Addition-Strategies-203.png?resize=676%2C408&ssl=1)
Write to show how you make a ten. Then add.
![lesson 9 homework 3.1 answer key Go Math Answer Key Grade 1 Chapter 3 Addition Strategies 204](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Answer-Key-Grade-1-Chapter-3-Addition-Strategies-204.png?resize=328%2C249&ssl=1)
Answer: 8 + 2 + 2 = 12 10 + 2 = 12 So, 8 + 4 = 12
![lesson 9 homework 3.1 answer key Go Math Answer Key Grade 1 Chapter 3 Addition Strategies 205](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Answer-Key-Grade-1-Chapter-3-Addition-Strategies-205.png?resize=336%2C248&ssl=1)
Answer: 7 + 3 = 10 10 + 2 = 12 So, 5 + 7 = 12
THINK SMARTER Write to show how you make a ten. Then add.
![lesson 9 homework 3.1 answer key Go Math Answer Key Grade 1 Chapter 3 Addition Strategies 206](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Answer-Key-Grade-1-Chapter-3-Addition-Strategies-206.png?resize=330%2C251&ssl=1)
Answer: 8 + 2 = 10 10 + 5 = 15 So, 7 + 8 = 15
![lesson 9 homework 3.1 answer key Go Math Answer Key Grade 1 Chapter 3 Addition Strategies 207](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Answer-Key-Grade-1-Chapter-3-Addition-Strategies-207.png?resize=331%2C253&ssl=1)
Answer: 9 + 1 = 10 1 0 + 7 = 17 So, 9 + 8 = 17 .
MATHEMATICAL PRACTICE Use Models
THINK SMARTER Use the model. Write to show how you make a ten. Then add.
![lesson 9 homework 3.1 answer key Go Math Answer Key Grade 1 Chapter 3 Addition Strategies 208](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Answer-Key-Grade-1-Chapter-3-Addition-Strategies-208.png?resize=662%2C176&ssl=1)
Answer: 8 + 2 + 4 10 + 4 = 14 So, 8 + 6 = 14 Therefore, There are 14 balls of clay.
Use the clues to solve. Draw lines to match.
![lesson 9 homework 3.1 answer key Go Math Answer Key Grade 1 Chapter 3 Addition Strategies 209](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Answer-Key-Grade-1-Chapter-3-Addition-Strategies-209.png?resize=629%2C346&ssl=1)
Question 7. GO DEEPER Look at Exercise 6. Han eats one apple. Now he has the same number of apples as Luis and Mike. How many red and green apples could he have? __ red apples and __ green apples
Answer : 7 red apples and 7 green apples
![lesson 9 homework 3.1 answer key Go Math Answer Key Grade 1 Chapter 3 Addition Strategies 210](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Answer-Key-Grade-1-Chapter-3-Addition-Strategies-210.png?resize=459%2C144&ssl=1)
- 8 + 2 + 2 = Yes
- 5 + 4 + 3 = No
- 6 + 7 + 3 = Yes
Use Make a 10 to Add Homework & Practice 3.9
![lesson 9 homework 3.1 answer key Go Math Answer Key Grade 1 Chapter 3 Addition Strategies 211](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Answer-Key-Grade-1-Chapter-3-Addition-Strategies-211.png?resize=323%2C231&ssl=1)
Answer : 9 + 1 + 6 9 + 1 = 10 So, 9 + 6 = 15
![lesson 9 homework 3.1 answer key Go Math Answer Key Grade 1 Chapter 3 Addition Strategies 212](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Answer-Key-Grade-1-Chapter-3-Addition-Strategies-212.png?resize=325%2C229&ssl=1)
Answer : 8 + 2 + 3 8 + 2= 10 So, 5 + 8 = 13
![lesson 9 homework 3.1 answer key Go Math Answer Key Grade 1 Chapter 3 Addition Strategies 213](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Answer-Key-Grade-1-Chapter-3-Addition-Strategies-213.png?resize=570%2C96&ssl=1)
Answer: Ann – 10 green grapes and 6 red grapes. Gia – 7 green grapes and 9 red grapes.
![lesson 9 homework 3.1 answer key Go Math Answer Key Grade 1 Chapter 3 Addition Strategies 214](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Answer-Key-Grade-1-Chapter-3-Addition-Strategies-214.png?resize=329%2C133&ssl=1)
Answer : 8 + 2 = 10 10 + 2 = 14
![lesson 9 homework 3.1 answer key Go Math Answer Key Grade 1 Chapter 3 Addition Strategies 216](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Answer-Key-Grade-1-Chapter-3-Addition-Strategies-216.png?resize=76%2C89&ssl=1)
Answer: 5 – 5 = 0
![lesson 9 homework 3.1 answer key Go Math Answer Key Grade 1 Chapter 3 Addition Strategies 217](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-Answer-Key-Grade-1-Chapter-3-Addition-Strategies-217.png?resize=69%2C83&ssl=1)
Answer : 8 – 2 = 6
Lesson 3.10 Algebra • Add 3 Numbers
Essential Question How can you add three addends?
![lesson 9 homework 3.1 answer key Go Math 1st Grade Answer Key Chapter 3 Addition Strategies 218](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-1st-Grade-Answer-Key-Chapter-3-Addition-Strategies-218.png?resize=27%2C31&ssl=1)
Math Talk MATHEMATICAL PRACTICES Apply Which two addends did you add first? Explain.
![lesson 9 homework 3.1 answer key Go Math 1st Grade Answer Key Chapter 3 Addition Strategies 219](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-1st-Grade-Answer-Key-Chapter-3-Addition-Strategies-219.png?resize=87%2C31&ssl=1)
Answer: 5 + 2 + 3 = 10
Addition sentences :
- 7 + 3 = 10
- 5 + 5 = 10
![lesson 9 homework 3.1 answer key Go Math 1st Grade Answer Key Chapter 3 Addition Strategies 221](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-1st-Grade-Answer-Key-Chapter-3-Addition-Strategies-221.png?resize=676%2C131&ssl=1)
Answer: 3 + 4 + 6 = 13
- 3 + 10 = 13
- 7 + 6 = 13
MATHEMATICAL PRACTICE
![lesson 9 homework 3.1 answer key Go Math 1st Grade Answer Key Chapter 3 Addition Strategies 222](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-1st-Grade-Answer-Key-Chapter-3-Addition-Strategies-222.png?resize=88%2C29&ssl=1)
Answer: 7 + 3 + 1 = 11 Addition sentences :
- 7 + 4 = 11
- 10 + 1 = 11
![lesson 9 homework 3.1 answer key Go Math 1st Grade Answer Key Chapter 3 Addition Strategies 223](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-1st-Grade-Answer-Key-Chapter-3-Addition-Strategies-223.png?resize=652%2C106&ssl=1)
Answer: 3 + 6 + 3 = 12
- 6 + 6 = 12
- 3 + 9 = 12
GO DEEPER Solve both ways.
![lesson 9 homework 3.1 answer key Go Math 1st Grade Answer Key Chapter 3 Addition Strategies 224](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-1st-Grade-Answer-Key-Chapter-3-Addition-Strategies-224.png?resize=571%2C130&ssl=1)
Answer: 2 + 3 + 7 = 12
- 2 + 10 = 12
- 5 + 7 = 1 2
![lesson 9 homework 3.1 answer key Go Math 1st Grade Answer Key Chapter 3 Addition Strategies 226.1](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-1st-Grade-Answer-Key-Chapter-3-Addition-Strategies-226.1.png?resize=91%2C29&ssl=1)
Answer: Addition sentence : 2 + 2 + 3 = 7
![lesson 9 homework 3.1 answer key Go Math 1st Grade Answer Key Chapter 3 Addition Strategies 227](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-1st-Grade-Answer-Key-Chapter-3-Addition-Strategies-227.png?resize=174%2C195&ssl=1)
Answer: 6 = 4 + 2 6 = 5 + 1
![lesson 9 homework 3.1 answer key Go Math 1st Grade Answer Key Chapter 3 Addition Strategies 228](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-1st-Grade-Answer-Key-Chapter-3-Addition-Strategies-228.png?resize=625%2C178&ssl=1)
Answer: The addition sentences shows the sum 12 are : 1. 2 + 2 + 8 = 12 2. 6 + 0 + 6 = 12 The addition sentences shows the sum 13 are :
- 3 + 5 + 5 = 13
- 4 + 4 +5 = 13
TAKE HOME ACTIVITY • Have your child draw to show two ways to add the numbers 2, 4, and 6.
Algebra • Add 3 Numbers Homework & Practice 3.10
![lesson 9 homework 3.1 answer key Go Math 1st Grade Answer Key Chapter 3 Addition Strategies 229](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-1st-Grade-Answer-Key-Chapter-3-Addition-Strategies-229.png?resize=112%2C47&ssl=1)
Explanation: The two addition sentences to find the sum are
- 5 + 6 = 11
- 9 + 2 = 11
Question 2. Choose three numbers from 1 to 6. Write the numbers in an addition sentence. Show two ways to find the sum.
![lesson 9 homework 3.1 answer key Go Math 1st Grade Answer Key Chapter 3 Addition Strategies 231](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-1st-Grade-Answer-Key-Chapter-3-Addition-Strategies-231.png?resize=341%2C223&ssl=1)
Answer: 3 + 5 + 2 = 10
Question 1. What is the sum of 3 + 4 + 2? Write the sum. __
Explanation: The sum of 3 + 4 + 2 = 9 Therefore, sum = 9
Question 2. What is the sum of 5 + 1 + 4? Write the sum. __
Explanation: The sum of 5 + 1 + 4 = 10 Therefore, sum = 10
![lesson 9 homework 3.1 answer key Go Math 1st Grade Answer Key Chapter 3 Addition Strategies 232](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-1st-Grade-Answer-Key-Chapter-3-Addition-Strategies-232.png?resize=84%2C86&ssl=1)
Explanation: The sum of 3 and 7: 3 + 7 =10
![lesson 9 homework 3.1 answer key Go Math 1st Grade Answer Key Chapter 3 Addition Strategies 233](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-1st-Grade-Answer-Key-Chapter-3-Addition-Strategies-233.png?resize=199%2C104&ssl=1)
Answer: Number sentence : 4 + 2 = 6 Therefore, the number of cows in the barn = 6
Lesson 3.11 Algebra • Add 3 Numbers
Essential Question How can you group numbers to add three addends?
![lesson 9 homework 3.1 answer key 1st Grade Go Math Answer Key Chapter 3 Addition Strategies 234](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/1st-Grade-Go-Math-Answer-Key-Chapter-3-Addition-Strategies-234.png?resize=315%2C87&ssl=1)
Apply Describe the two ways you grouped the numbers to add.
Choose a strategy. Circle two addends to add first. Write the sum. Then find the total sum. Then use a different strategy and add again.
![lesson 9 homework 3.1 answer key Go Math 1st Grade Answer Key Chapter 3 Addition Strategies 235](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/Go-Math-1st-Grade-Answer-Key-Chapter-3-Addition-Strategies-235.png?resize=296%2C128&ssl=1)
Answer: Two addends : 6 , 4 Sum : 6 + 4 = 10 Total sum : 6 + 4 + 2 = 12
![lesson 9 homework 3.1 answer key 1st Grade Go Math Answer Key Chapter 3 Addition Strategies 236](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/1st-Grade-Go-Math-Answer-Key-Chapter-3-Addition-Strategies-236.png?resize=293%2C126&ssl=1)
Answer: Two addends : 3 , 4 Sum : 3 + 4 = 7 Total sum : 3 + 4 + 4 = 11
![lesson 9 homework 3.1 answer key 1st Grade Go Math Answer Key Chapter 3 Addition Strategies 237](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/1st-Grade-Go-Math-Answer-Key-Chapter-3-Addition-Strategies-237.png?resize=294%2C114&ssl=1)
Answer: Two addends : 2 , 5 Sum : 2 + 5 = 7 Total sum : 2 + 5 + 0 = 7
![lesson 9 homework 3.1 answer key 1st Grade Go Math Answer Key Chapter 3 Addition Strategies 238](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/1st-Grade-Go-Math-Answer-Key-Chapter-3-Addition-Strategies-238.png?resize=295%2C112&ssl=1)
Answer: Two addends : 5 , 5 Sum : 5 + 5 = 10 Total sum : 5 + 4 + 5 = 14
MATHEMATICAL PRACTICE Use Repeated Reasoning Choose a strategy. Circle two addends to add first. Write the sum.
![lesson 9 homework 3.1 answer key 1st Grade Go Math Answer Key Chapter 3 Addition Strategies 239](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/1st-Grade-Go-Math-Answer-Key-Chapter-3-Addition-Strategies-239.png?resize=77%2C115&ssl=1)
Answer: Two addends : 8 , 2 Sum : 8 + 2 + 2 =12
![lesson 9 homework 3.1 answer key 1st Grade Go Math Answer Key Chapter 3 Addition Strategies 240](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/1st-Grade-Go-Math-Answer-Key-Chapter-3-Addition-Strategies-240.png?resize=78%2C102&ssl=1)
Answer : Two addends : 6, 0 Sum : 6 + 0 + 8 = 14
![lesson 9 homework 3.1 answer key 1st Grade Go Math Answer Key Chapter 3 Addition Strategies 241](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/1st-Grade-Go-Math-Answer-Key-Chapter-3-Addition-Strategies-241.png?resize=74%2C125&ssl=1)
Answer : Two addends : 3 , 4 Sum : 3 + 4 + 6 = 13
![lesson 9 homework 3.1 answer key 1st Grade Go Math Answer Key Chapter 3 Addition Strategies 242](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/1st-Grade-Go-Math-Answer-Key-Chapter-3-Addition-Strategies-242.png?resize=78%2C115&ssl=1)
Answer: Two addends : 2 , 3 Sum : 2 + 3 + 7 = 12
![lesson 9 homework 3.1 answer key 1st Grade Go Math Answer Key Chapter 3 Addition Strategies 243](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/1st-Grade-Go-Math-Answer-Key-Chapter-3-Addition-Strategies-243.png?resize=79%2C109&ssl=1)
Answer: Two addends : 7 , 7 Sum : 7 + 7 + 2 = 16
![lesson 9 homework 3.1 answer key 1st Grade Go Math Answer Key Chapter 3 Addition Strategies 244](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/1st-Grade-Go-Math-Answer-Key-Chapter-3-Addition-Strategies-244.png?resize=71%2C110&ssl=1)
Answer: Two addends : 1 , 1 Sum : 1 + 9 + 1 = 11
![lesson 9 homework 3.1 answer key 1st Grade Go Math Answer Key Chapter 3 Addition Strategies 245](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/1st-Grade-Go-Math-Answer-Key-Chapter-3-Addition-Strategies-245.png?resize=84%2C113&ssl=1)
Answer: Two addends : 4 , 4 Sum : 5 + 4 + 4 = 13
![lesson 9 homework 3.1 answer key 1st Grade Go Math Answer Key Chapter 3 Addition Strategies 246](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/1st-Grade-Go-Math-Answer-Key-Chapter-3-Addition-Strategies-246.png?resize=84%2C116&ssl=1)
Answer : Two addends : 5 , 5 Sum: 5 + 5+ 5 = 15
Question 13. THINK SMARTER Susan has 7 shells. Kai has 3 shells. Zach has 5 shells. How many shells do they have? __ + __ + __ + __ = __ shells
Explanation : The number of shells Susan has = 7 The number of Shells Kai have = 3 The number of shells Zach have = 5 Total : 7 + 3 + 5 = 15 Therefore, the number of shells they have = 7+3+5 = 15
THINK SMARTER Write the missing addends. Add.
![lesson 9 homework 3.1 answer key 1st Grade Go Math Answer Key Chapter 3 Addition Strategies 247](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/1st-Grade-Go-Math-Answer-Key-Chapter-3-Addition-Strategies-247.png?resize=275%2C170&ssl=1)
Answer: The possible addend be 0,8 ; 1,7; 2,6; 3,5; 4,4 ; 5,3 ; 6,2 ; 7,1 ; 8,0 The sum of the number sentence is 11
![lesson 9 homework 3.1 answer key 1st Grade Go Math Answer Key Chapter 3 Addition Strategies 248](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/1st-Grade-Go-Math-Answer-Key-Chapter-3-Addition-Strategies-248.png?resize=156%2C157&ssl=1)
Answer: Possible addends are : 0,7; 1,6; 2,5; 3,4; 4,3; 5,2; 2,6; 1,7; 7,0. The sum of number sentence = 10
Draw a picture. Write the number sentence.
![lesson 9 homework 3.1 answer key 1st Grade Go Math Answer Key Chapter 3 Addition Strategies 249](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/1st-Grade-Go-Math-Answer-Key-Chapter-3-Addition-Strategies-249.png?resize=84%2C128&ssl=1)
Explanation: The number of cats Maria have = 3 The number of cats Jim have = 2 The number of cats Cheryl have = 5 Total : 3 + 2 + 5= 10 Therefore, the total number of cats Maria have = 10
![lesson 9 homework 3.1 answer key 1st Grade Go Math Answer Key Chapter 3 Addition Strategies 250](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/1st-Grade-Go-Math-Answer-Key-Chapter-3-Addition-Strategies-250.png?resize=151%2C70&ssl=1)
Explanation: The number of small turtles = 5 The number of medium turtles = 0 The number of big turtles = 4 Total : 5 + 0 + 4 = 9 Therefore, the number of turtles tony have = 9
![lesson 9 homework 3.1 answer key 1st Grade Go Math Answer Key Chapter 3 Addition Strategies 251](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/1st-Grade-Go-Math-Answer-Key-Chapter-3-Addition-Strategies-251.png?resize=141%2C104&ssl=1)
Answer: The sum of blue and red fish is 7 Total number of fishes in the tank = 13 Number of gold fishes = 6 Let, the number of blue fishes = 3 the number of red fishes = 4 Total red and blue fishes = 3 + 4 = 7 Number sentence : 3 + 4 + 6 = 14
![lesson 9 homework 3.1 answer key 1st Grade Go Math Answer Key Chapter 3 Addition Strategies 252](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/1st-Grade-Go-Math-Answer-Key-Chapter-3-Addition-Strategies-252.png?resize=539%2C45&ssl=1)
Answer: 2 + 3 + 4 = 9
TAKE HOME ACTIVITY • Have your child look at Exercise 18. Have your child tell you how he or she decided which numbers to use. Have him or her tell you two new numbers that would work.
Algebra • Add 3 Numbers Homework & practice 3.11
Choose a strategy. Circle two addends to add first. Write the sum.
![lesson 9 homework 3.1 answer key 1st Grade Go Math Answer Key Chapter 3 Addition Strategies 253](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/1st-Grade-Go-Math-Answer-Key-Chapter-3-Addition-Strategies-253.png?resize=86%2C117&ssl=1)
Answer: Two addends : 7, 3 Sum : 7 + 3 + 3 = 13
![lesson 9 homework 3.1 answer key 1st Grade Go Math Answer Key Chapter 3 Addition Strategies 254](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/1st-Grade-Go-Math-Answer-Key-Chapter-3-Addition-Strategies-254.png?resize=77%2C121&ssl=1)
Two addends : 2 , 2 Sum : 2 + 2+ 6 = 10
![lesson 9 homework 3.1 answer key 1st Grade Go Math Answer Key Chapter 3 Addition Strategies 255](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/1st-Grade-Go-Math-Answer-Key-Chapter-3-Addition-Strategies-255.png?resize=83%2C116&ssl=1)
Answer: Two addends : 6 , 6 Sum : 6 + 6 +3 = 15
![lesson 9 homework 3.1 answer key 1st Grade Go Math Answer Key Chapter 3 Addition Strategies 256](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/1st-Grade-Go-Math-Answer-Key-Chapter-3-Addition-Strategies-256.png?resize=80%2C118&ssl=1)
Answer: Two addends : 0 , 8 Total : 2 + 0 + 8 = 10
Question 5. Don has 4 black dogs. Tim has 3 small dogs. Sue has 3 big dogs. How many dogs do they have? __ + __ + __ = __ dogs
Explanation : The number of dogs Don have = 4 The number of dogs Tim have = 3 The number of dogs Sue have = 3 Total : 4 + 3 +3 = 10 Therefore, the number of dogs they have = 10
![lesson 9 homework 3.1 answer key 1st Grade Go Math Answer Key Chapter 3 Addition Strategies 257](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/1st-Grade-Go-Math-Answer-Key-Chapter-3-Addition-Strategies-257.png?resize=373%2C217&ssl=1)
Answer : 6 + 4 + 4 = 14
Question 1. What is the sum of 4 + 4 + 2? __
Answer: 4 + 4 + 2 = 10
![lesson 9 homework 3.1 answer key 1st Grade Go Math Answer Key Chapter 3 Addition Strategies 258](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/1st-Grade-Go-Math-Answer-Key-Chapter-3-Addition-Strategies-258.png?resize=96%2C116&ssl=1)
Answer: 7 + 3 = 10 Total sum : 7 + 3 + 2 = 12
Question 3. Write a doubles plus one fact for the sum of 7. __ + __ = __
Answer: A doubles plus one fact for the sum of 7 : 3 + 4 = 7 3 + 3 + 1 = 7
![lesson 9 homework 3.1 answer key 1st Grade Go Math Answer Key Chapter 3 Addition Strategies 259](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/1st-Grade-Go-Math-Answer-Key-Chapter-3-Addition-Strategies-259.png?resize=212%2C129&ssl=1)
Answer: Number sentence : 8 + 3 = 11
Lesson 3.12 Problem Solving • Use Addition Strategies
Essential Question How do you solve addition word problems by drawing a picture?
Megan put 8 fish in the tank. Tess put in 2 more fish. Then Bob put in 3 more fish. How many fish are in the tank now?
Unlock the Problem
![lesson 9 homework 3.1 answer key 1st Grade Go Math Answer Key Chapter 3 Addition Strategies 260](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/1st-Grade-Go-Math-Answer-Key-Chapter-3-Addition-Strategies-260.png?resize=327%2C118&ssl=1)
Explanation : Given, Megan put in 8 fish. Tess put in 2 fish. Bob put in 3 fish. Total : 8 + 2 + 3 = 13 Therefore, total number of fishes = 13
HOME CONNECTION • Your child will continue to use this chart throughout the year to help him or her unlock the problem. In this lesson, your child used the strategy draw a picture to solve problems.
Try Another Problem
Draw a picture to solve.
![lesson 9 homework 3.1 answer key 1st Grade Go Math Answer Key Chapter 3 Addition Strategies 262](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/1st-Grade-Go-Math-Answer-Key-Chapter-3-Addition-Strategies-262.png?resize=459%2C405&ssl=1)
Answer : 15
Explanation : The number of green toy cars = 9 The number of yellow toy cars = 1 The number of blue toy cars = 5 Total : 9 + 1 + 5 = 15 Therefore, the total number of toy cars he have now = 15
Math Talk MATHEMATICAL PRACTICES Reasoning Explain how using make a ten helps you solve the problem.
Write an Equation Draw a picture to solve.
![lesson 9 homework 3.1 answer key 1st Grade Go Math Answer Key Chapter 3 Addition Strategies 263](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/1st-Grade-Go-Math-Answer-Key-Chapter-3-Addition-Strategies-263.png?resize=552%2C138&ssl=1)
Explanation : The number of marbles Ken kept in a jar = 5 The number of Lou kept in a jar = 0 The number of marbles Mae kept in jar = 5 Total : 5 + 0 + 5 = 10 marbles Therefore, there are 10 marbles in the jar.
![lesson 9 homework 3.1 answer key 1st Grade Go Math Answer Key Chapter 3 Addition Strategies 264](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/1st-Grade-Go-Math-Answer-Key-Chapter-3-Addition-Strategies-264.png?resize=548%2C140&ssl=1)
Answer : 11
Explanation : The number of kites Ava have = 3 The number of kites Lexi have = 3 The number of kites Fred have = 5 Total : 3 + 3 + 5 = 11 Kites Therefore, the number of kites they have = 11
![lesson 9 homework 3.1 answer key 1st Grade Go Math Answer Key Chapter 3 Addition Strategies 265](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/1st-Grade-Go-Math-Answer-Key-Chapter-3-Addition-Strategies-265.png?resize=563%2C131&ssl=1)
Explanation : The number of books Al got from library = 8 The number of books Ryan got from library = 7 The number of books Dee got from library = 1 Total : 8 + 7 + 1 = 16 books Therefore, the number of books they have = 16
![lesson 9 homework 3.1 answer key 1st Grade Go Math Answer Key Chapter 3 Addition Strategies 266](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/1st-Grade-Go-Math-Answer-Key-Chapter-3-Addition-Strategies-266.png?resize=118%2C102&ssl=1)
Explanation : The number of letters Pete sends = 4 The number of letters he sends more = 3 Then also the number of letters he sends more = 2 Total : 4 + 3 + 2 = 9 letters Therefore, the number of letters Pete sends = 9
On Your Own WRITE Math
Solve. Draw or write to show your work.
![lesson 9 homework 3.1 answer key 1st Grade Go Math Answer Key Chapter 3 Addition Strategies 267](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/1st-Grade-Go-Math-Answer-Key-Chapter-3-Addition-Strategies-267.png?resize=90%2C115&ssl=1)
Explanation : Total number of basketball cards = 15 The number of cards he gives away = 8 Now, the number basketball he have now = 15 – 8 = 7 Therefore, the number of cars he have now = 7
![lesson 9 homework 3.1 answer key 1st Grade Go Math Answer Key Chapter 3 Addition Strategies 268](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/1st-Grade-Go-Math-Answer-Key-Chapter-3-Addition-Strategies-268.png?resize=311%2C142&ssl=1)
Explanation : Total number of pencils = 14 The number of pencils Haley have = 6 The number of pencils Mac have = 4 Total : 6 + 4 = 10 The number of pencils Sid have = 14 – 10 = 4 Therefore, Sid have 4 pencils.
Question 8. GO DEEPER 12 marbles are in a bag. Shelly takes 3 marbles. Dan puts in 4. How many marbles are in the bag now? __ marbles
Explanation : The total number of marbles in a bag = 12 The number of marbles Shelly takes out = 1 2 – 3 = 9 The number of marbles Dan puts in = 4 9 + 4 = 13 Therefore, total number of marbles in the bag = 13
Question 9. THINK SMARTER Eric has 4 pencils. Sandy gives Eric 3 pencils. Tracy gives Eric 5 more pencils. How many pencils does Eric have in all? Eric has ☐ pencils in all.
Explanation : The number of pencils Eric have = 4 The umber of pencils Sandy gives Eric = 3 The number of pencils Tracy gives Eric = 5 Total : 4 + 3 + 5 = 12 Therefore, the total number pencils Eric have = 12.
TAKE HOME ACTIVITY • Ask your child to look at Exercise 8 and tell how he or she found the answer.
Problem Solving • Use Addition Strategies Homework & Practice 3.12
![lesson 9 homework 3.1 answer key 1st Grade Go Math Answer Key Chapter 3 Addition Strategies 269](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/1st-Grade-Go-Math-Answer-Key-Chapter-3-Addition-Strategies-269.png?resize=602%2C62&ssl=1)
Explanation : The number of crayons Franco have = 5 The number of crayons he gets more = 8 The number of crayons he gets more = 2 Total number of crayons = 5 + 8 + 2 = 15 Therefore, the number of crayons he have now = 15
![lesson 9 homework 3.1 answer key 1st Grade Go Math Answer Key Chapter 3 Addition Strategies 270](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/1st-Grade-Go-Math-Answer-Key-Chapter-3-Addition-Strategies-270.png?resize=598%2C62&ssl=1)
Answer : 14
Explanation: The number of blocks Jackson have = 6 The number of blocks Jackson gets more = 5 + 3 = 8 Total : 6 + 8 = 14 Therefore, Jackson have 14 blocks.
![lesson 9 homework 3.1 answer key 1st Grade Go Math Answer Key Chapter 3 Addition Strategies 271](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/1st-Grade-Go-Math-Answer-Key-Chapter-3-Addition-Strategies-271.png?resize=592%2C62&ssl=1)
Answer : 12
Explanation : The number of gifts Ava have = 7 The number of gifts Ava gets more = 2 + 3 = 5 Total : 7 + 5 = 12 Therefore, Ava have 12 gifts.
![lesson 9 homework 3.1 answer key 1st Grade Go Math Answer Key Chapter 3 Addition Strategies 272](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/1st-Grade-Go-Math-Answer-Key-Chapter-3-Addition-Strategies-272.png?resize=268%2C174&ssl=1)
Explanation : The number of large rocks Jeb have = 4 The number of medium rocks Jeb have = 4 The number of small rocks Jeb have = 7 Total : 4 + 4 + 7 = 15 Therefore, Jeb have 15 rocks.
![lesson 9 homework 3.1 answer key 1st Grade Go Math Answer Key Chapter 3 Addition Strategies 273](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/1st-Grade-Go-Math-Answer-Key-Chapter-3-Addition-Strategies-273.png?resize=556%2C56&ssl=1)
Answer: The total number of stones = 14 Number sentence: 3 + 4 + 7 = 14
Explanation : The number of gray stones = 3 The number of black stones = 4 The number of white stones = 7 Total : 3 + 4 + 7 = 14
![lesson 9 homework 3.1 answer key 1st Grade Go Math Answer Key Chapter 3 Addition Strategies 274](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/1st-Grade-Go-Math-Answer-Key-Chapter-3-Addition-Strategies-274.png?resize=570%2C55&ssl=1)
Answer: The Total number of stickers = 17 Number sentence: 3 + 6 + 8 = 17
Explanation: The number of red stickers = 3 The number of pink stickers = 6 The number of green stickers = 8 Total: 3 + 6 + 8 = 17
Question 3. What is the sum of 2 + 4 or 4 + 2? Write the number. ____
Explanation: The sum of of 2+4 or 4+2 = 6
![lesson 9 homework 3.1 answer key 1st Grade Go Math Answer Key Chapter 3 Addition Strategies 275](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/1st-Grade-Go-Math-Answer-Key-Chapter-3-Addition-Strategies-275.png?resize=451%2C55&ssl=1)
Answer: The total number of pens = 9 Number sentence : 6 + 3 =9
Explanation: The number of black pens = 6 The number of blue pens = 3 Total : 6 + 3 = 9
Addition Strategies Chapter 3 Review/Test
Question 1. Write the addends in a different order. 5 + 4 = 9 __ + __ = __
Answer: The addition sentence with the addends in a different order = 4 + 5 = 9
Question 2. Count on from 4. Write the number that shows 1 more. __
![lesson 9 homework 3.1 answer key 1st Grade Go Math Answer Key Chapter 3 Addition Strategies 276](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/1st-Grade-Go-Math-Answer-Key-Chapter-3-Addition-Strategies-276.png?resize=348%2C297&ssl=1)
Answer: The addition sentence with doubles fact : 5 + 5 = 10 Therefore, The sum of cubes = 10
![lesson 9 homework 3.1 answer key 1st Grade Go Math Answer Key Chapter 3 Addition Strategies 277](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/1st-Grade-Go-Math-Answer-Key-Chapter-3-Addition-Strategies-277.png?resize=350%2C228&ssl=1)
Answer: 3 + 4 = 3 + 3 +1 So, 3 + 4 = 7
![lesson 9 homework 3.1 answer key 1st Grade Go Math Answer Key Chapter 3 Addition Strategies 278](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/1st-Grade-Go-Math-Answer-Key-Chapter-3-Addition-Strategies-278.png?resize=183%2C113&ssl=1)
- 7 + 7 = 14
- 8 + 8 = 14
![lesson 9 homework 3.1 answer key 1st Grade Go Math Answer Key Chapter 3 Addition Strategies 279](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/1st-Grade-Go-Math-Answer-Key-Chapter-3-Addition-Strategies-279.png?resize=232%2C131&ssl=1)
Answer: Addition sentence on 2 fact to show a sum of 10 8 + 2 = 10 Addition sentence with doubles fact to show a sum of 10. 5 + 5 = 10
![lesson 9 homework 3.1 answer key 1st Grade Go Math Answer Key Chapter 3 Addition Strategies 280](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/1st-Grade-Go-Math-Answer-Key-Chapter-3-Addition-Strategies-280.png?resize=604%2C260&ssl=1)
Explanation: Given, The model shows 8 + 5 = 13. Addition sentence with 10 fact that has same sum = 10 + 3 = 13
![lesson 9 homework 3.1 answer key 1st Grade Go Math Answer Key Chapter 3 Addition Strategies 282](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/1st-Grade-Go-Math-Answer-Key-Chapter-3-Addition-Strategies-282.png?resize=607%2C138&ssl=1)
Answer: 1. 7 + 3 + 2 – Yes 2. 7 + 5 +5 – Yes 3. 5 + 4 + 7 – No
![lesson 9 homework 3.1 answer key 1st Grade Go Math Answer Key Chapter 3 Addition Strategies 283](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/1st-Grade-Go-Math-Answer-Key-Chapter-3-Addition-Strategies-283.png?resize=83%2C35&ssl=1)
Explanation : The number of red cubes = 2 The number of blue cubes = 3 The number of yellow cubes = 3 Now, The addition sentence : 2 + 3 + 4 = 9 Total sum of cubes = 9
Question 11. Write two ways to group and add 4 + 2 + 5. __ + __ = __ __ + __ = __
Answer: 4 + 2 + 5 = 11 The two ways are: 6 + 5 = 11 8 + 3 = 11
![lesson 9 homework 3.1 answer key 1st Grade Go Math Answer Key Chapter 3 Addition Strategies 284](https://i0.wp.com/gomathanswerkey.com/wp-content/uploads/2021/02/1st-Grade-Go-Math-Answer-Key-Chapter-3-Addition-Strategies-284.png?resize=551%2C182&ssl=1)
Answer: 4 + 2 + 4 = 10 Beth sees = 10 birds
Final Words:
Learn the basics like addition, subtraction from the primary level itself. Refer to Go Math Grade 1 Answer Key Chapter 3 Addition Strategies to score good marks in the exams. Download the free pdf of HMH Go Math 1st Grade Answer Key Chapter 3 from this page.
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Draw a picture of the birds. Answer: 4 + 2 + 4 = 10. Beth sees = 10 birds. Final Words: Learn the basics like addition, subtraction from the primary level itself. Refer to Go Math Grade 1 Answer Key Chapter 3 Addition Strategies to score good marks in the exams. Download the free pdf of HMH Go Math 1st Grade Answer Key Chapter 3 from this page.
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