Applying the Distributive Property with Area Models

This lesson teaches the distributive property using area models. It begins with a basic introduction to multiplication and area models, then demonstrates how to break down multiplication problems using the distributive property. The lesson provides examples to illustrate the concept and applies it to solve real-world problems, such as calculating the cost of multiple items. By the end, students will understand how to use the distributive property to simplify and solve multiplication problems.

What does the distributive property allow us to do in multiplication?

• Subtract instead of multiply

• Divide a multiplication problem into simpler parts

• Combine different multiplication problems into one

• Multiply numbers by themselves

Tags

CCSS.3.OA.B.5

In the example 8 times 7, how many total square units are inside the rectangle?

• 48

• 56

• 64

• 72

Tags

CCSS.3.OA.A.1

What is the purpose of using area models in learning multiplication?

• To reduce the need for calculation

• To visualize the multiplication process

• To increase the complexity of problems

• To create physical models of products

Tags

CCSS.4.NBT.B.5

How is the number 7 broken down to simplify the multiplication in the example?

• 3 + 4

• 6 + 1

• 7 + 0

• 5 + 2

Tags

CCSS.1.OA.B.3

What is the result of 8 times 5 in the distributive property example?

• 40

• 30

• 50

• 45

Tags

CCSS.6.NS.B.4

How does breaking down numbers help in using the distributive property?

• It makes the numbers larger

• It simplifies the multiplication process

• It changes the final product

• It requires more steps

Tags

CCSS.3.OA.B.5

What does the distributive property formula 'a(b + c) = ab + ac' demonstrate?

• Subtraction of terms

• Distribution of multiplication over addition

• Division of terms

• Addition of products

Tags

CCSS.3.OA.B.5

In the practical example, how much does each notebook cost?

• $4

• $6

• $8

• $10

Tags

CCSS.3.OA.A.3

How many groups of items is Mark buying in the practical example?

• Four groups

• Three groups

• Two groups

• Five groups

Tags

CCSS.2.OA.C.3

What is the total cost for Mark's notebooks and pens using the distributive property?

• $30

• $35

• $25

• $20

Tags

CCSS.6.NS.B.4