Area Model Multiplication

Front

What is the area model in multiplication?

Back

The area model is a visual representation of multiplication that breaks down numbers into their place values and shows how to multiply them using rectangles to represent the areas.

Tags

CCSS.4.NBT.B.5

Front

How do you find the area of a rectangle?

Back

Area = length × width.

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

Front

What is the product of 20 and 30 using the area model?

Back

600 (20 × 30 = 600).

Tags

CCSS.4.NBT.B.5

Front

If you have a rectangle with a length of 15 and a width of 10, what is the area?

Back

150 (15 × 10 = 150).

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

Front

What does it mean to decompose a number in multiplication?

Back

To decompose a number means to break it down into smaller, more manageable parts, often by place value.

Tags

CCSS.4.NBT.B.5

Front

How can you use the area model to multiply 12 by 34?

Back

Break down 12 into 10 and 2, and 34 into 30 and 4. Then calculate (10 × 30) + (10 × 4) + (2 × 30) + (2 × 4) = 360 + 40 + 60 + 8 = 468.

Tags

CCSS.4.NBT.B.5

Front

What is the importance of using the area model in multiplication?

Back

It helps students visualize the multiplication process and understand how numbers relate to each other, making it easier to solve complex problems.

Tags

CCSS.4.NBT.B.5

Front

What is the product of 7 and 8 using the area model?

Back

56 (7 × 8 = 56).

Tags

CCSS.4.NBT.B.5

Front

If a rectangle has an area of 240 square units and a width of 15 units, what is the length?

Back

Length = Area ÷ Width = 240 ÷ 15 = 16 units.

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

Front

What is the relationship between multiplication and area?

Back

Multiplication can be understood as finding the area of a rectangle, where one side represents one factor and the other side represents the second factor.

Tags

CCSS.4.NBT.B.5