Name: Date: NVACS: Operations and Algebraic Thinking (4.OA.1.2

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Name: ________________________________ Date: _______________
NVACS: Operations and Algebraic Thinking (4.OA.1.2.)
Multiplication, Word Problems, Models
Practice for 4th Grade
Multiplicative Reasoning
To introduce the idea of multiplicative reasoning you begin
by having students model with cubes.
_____________ x ____________ = ___________
cubes in each tower
number of towers
cubes total
Draw a model and write an equation for the following:
a) 3 times as many as 9 is 27.
b) 40 is 4 times as many as 10.
c) 21 is 3 times as many as 7.
Draw a Model and Write an Equation for Each Problem.
a)
b)
c)
RPDP.net
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Name: ________________________________ Date: _______________
NVACS: Operations and Algebraic Thinking (4.OA.1.2.)
Multiplication, Word Problems, Models
Practice for 4th Grade
Write equations for the following:
a) 3 times as many as 4 is 12.
b) Twice as many as 6 is 12.
c) 32 is 4 times as many as 8.
Write an Equation for Each Problem.
a)
b)
c)
Write comparison sentences for the following:
a) 3 x 7=21
b) 8 x 3 = 24
c) 5 x 4 = 20
____ times as many as _____ is _____
Write a comparison sentence for each problem.
a)
b)
c)
RPDP.net
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Name: ________________________________ Date: _______________
NVACS: Operations and Algebraic Thinking (4.OA.1.2.)
Multiplication, Word Problems, Models
Practice for 4th Grade
Write comparison sentences for the following:
a) 45 = 9 x 5
b) 24 = 6 x 4
c) 18 = 2 x 9
___ is ___ times as many as ___.
Write a comparison sentence for each problem.
a)
b)
c)
Draw a model and write an equation for the following:
a) 18 is 3 times as many as 6.
b) 20 is 5 times as many as 4.
c) 80 is 4 times as many as 20.
Draw a Model and Write an Equation for Each Problem.
a)
b)
c)
RPDP.net
Page 3
Name: ________________________________ Date: _______________
NVACS: Operations and Algebraic Thinking (4.OA.1.2.)
Multiplication, Word Problems, Models
Practice for 4th Grade
Write equations for the following:
a) 5 times as many as 8 is 40.
b) Twice as many as 12 is 24.
c) 4 times as many as 9 is 36.
Write an equation for each problem.
a)
b)
c)
Write comparison sentences for the following:
a) 3 x 7=21
b) 8 x 3 = 24
c) 5 x 4 = 20
____ times as many as _____ is _____.
Write a comparison sentence for each problem.
a)
b)
c)
RPDP.net
Page 4
Name: ________________________________ Date: _______________
NVACS: Operations and Algebraic Thinking (4.OA.1.2.)
Multiplication, Word Problems, Models
Practice for 4th Grade
How do you know that the statement “6 is 3 times as many
as 2” is a comparison involving multiplication?
Explain
How are the equations for, 4 is 2 more than 2, and 4 is 2
times as many as 2, different? Write an equation for each
statement and explain your thinking using math
vocabulary.
Explain
RPDP.net
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Name: ________________________________ Date: _______________
NVACS: Operations and Algebraic Thinking (4.OA.1.2.)
Multiplication, Word Problems, Models
Practice for 4th Grade
Draw models to represent 21 = 7 x 3 and 21 = 3 x 7. How
are the models alike? How are they different?
Model and Explain
Write comparison sentences for the following:
a) 14 = 3 x 5
b) 42 = 6 x 7
c) 20 = 2 x 10
___ is ___ times as many as ___.
Write a comparison sentence for each problem.
a)
b)
c)
RPDP.net
Page 6
Name: ________________________________ Date: _______________
NVACS: Operations and Algebraic Thinking (4.OA.1.2.)
Multiplication, Word Problems, Models
Practice for 4th Grade
Write comparison sentences for the following:
a) 45 = 9 x 5
b) 24 = 6 x 4
c) 18 = 2 x 9
___ is ___ times as many as ___.
Write a comparison sentence for each problem.
a)
b)
c)
RPDP.net
Page 7
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