Distributive Property Area Model

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Open Ended

52 = g - 41

What is the value of g?

Open Ended

78 + p = 117

What is the value of p?

Explore & Connect:

Distributive

Property

multiplying addends by a number, then
adding the products

3

How does the 4 become a
new factor in distributive
property?

4

x

= 3 x (2 + 2) = (3

x

x

2)

(3

2) +

Open Ended

12y = 60

What is the value of y?

Draw

Draw an area model to show $$215\ \cdot\ 6$$

Multiple Choice

How is the expression for 3a + 9 = 33 written using distributive property?

• 3a * 3 + 11

• 3 + 3 (a + 11)

• 3(a + 3) = 33

• a = 8

Draw It, Write It

The school assembly room has 5 rows with 20 chairs in each
row. If the third grade classes fill 3 rows of chairs, how many
third graders are at the assembly?

How does distributive property help
solve problems with values of 10?

3

10

10

Notice

Know

30 + 30 = 60

30

30

​

Draw It, Write It

The school assembly room has 5 rows with 20 chairs in each
row. If the third grade classes fill 3 rows of chairs, how many
third graders are at the assembly?

How does distributive property help
solve problems with values of 10?

3

10

10

Notice

Know

30 + 30 = 60

30

30

How can models help with expressions?

4(3x - 2)

​

​

​

​-2

​-2

​-2

​-2

​

​

​

​

​

​

​

​

​

Multiple Choice

What does the model show?

• 4x - 8

• 12x - 8

• 12x - 2

Fill in the Blank

Simplify the equation 4(4x + 5) = 56

Fill in the Blank

Simplify the expression

8(3z + 4)

Open Ended

Is the equation true? How do you know?

2x + 4 = 2(x + 3)

Open Ended

How would you explain distributive property to a 5th grader?