Exploring Area Models and the Distributive Property

The video tutorial teaches how to find the area of rectangles using the distributive property. It begins with an introduction to area and benchmark numbers, followed by an explanation of unit squares and how to calculate area by multiplying rows and units. The lesson then demonstrates decomposing rectangles to find their area, using examples with benchmark numbers. Finally, it calculates the area of posters made by Jalen and Kayden, reinforcing the concept of using the distributive property to find area.

What is the area of a shape defined by unit squares?

• The number of corners the shape has

• The number of unit squares it takes to cover the shape

• The perimeter of the shape

• The length of one side

What does a unit square represent?

• A square with two units per side

• A square with no specific measurement

• A square with one unit per side

• A square used only for counting

Which property is used to find the area of rectangles in this lesson?

• Multiplicative identity property

• Distributive property

• Commutative property

• Associative property

What benchmark numbers are mentioned for making estimates?

• 10, 20, 30, 40, 50

• 5, 10, 25, 50, 100

• 1, 2, 3, 4, 5

• 100, 200, 300, 400, 500

What is the purpose of using benchmark numbers in area calculation?

• To estimate more efficiently

• To complicate the process

• To provide exact measurements

• To simplify complex calculations

How do you calculate the area of a rectangle using the distributive property?

• Subtract the smaller dimension from the larger one

• Multiply the total number of rows by the number of units in each row

• Add the length and width

• Divide the rectangle into smaller sections and sum their areas

What is the area of a rectangle that is decomposed into 4 rows by 5 units and 4 rows by 2 units?

• 28 square units

• 32 square units

• 10 square units

• 16 square units

How is the distributive property applied to calculate area?

• By multiplying dimensions directly

• By adding all sides of the rectangle

• By dividing the rectangle into parts and summing their areas

• By subtracting the smaller area from the larger area

How much area do Jalen's and Kayden's posters cover?

• 12 square units

• 16 square units

• 24 square units

• 20 square units

What is the combined area of two rectangles, one measuring 4 rows by 3 units and another 4 rows by 2 units?

• 20 square units

• 8 square units

• 24 square units

• 12 square units