Distributive Property and Rectangle Areas

Mrs. Nelson teaches a sixth-grade math lesson on the distributive property using partitioned rectangles. The lesson involves writing expressions for the length, width, and area of rectangles, demonstrating how the distributive property works. Students analyze different rectangles, breaking down their areas into expressions and discussing their findings.

What is the main objective of the lesson on the distributive property?

• To use diagrams of split rectangles to write expressions

• To understand fractions

• To learn how to solve equations

• To memorize multiplication tables

In Rectangle A, what is the expression for the total area using the distributive property?

• 3(a + 5)

• 3a + 5

• a + 3

• 5a + 3

How can the area of Rectangle A be expressed using individual areas?

• 3a + 15

• 3a + 5

• a + 15

• 3 + 5a

For Rectangle B, how is the expression for the area written using fractions?

• 1/3(6 + X)

• 6 + 1/3X

• 1/3X + 6

• X + 1/3

What is the expression for the area of Rectangle B when using the distributive property?

• 1/3X + 2

• 2 + 1/3X

• 1/3(6 + X)

• 6 + X

In Rectangle C, how is the expression for the area written using repeated addition?

• 3 + R

• R + 3

• 3R

• R + R + R

What is the expression for the area of Rectangle C using the distributive property?

• R(1 + 1 + 1)

• 3 + R

• R + 1

• 1 + R

For Rectangle D, how can the expression 6(P + P + P + P) be simplified?

• 24P

• 12P

• 6P

• 4P

What is the expression for the area of Rectangle D using the distributive property?

• 24P

• 4(6P)

• 6(4P)

• 6P

How does the distributive property help in finding the area of partitioned rectangles?

• By multiplying all sides

• By distributing a variable over each part

• By subtracting the lengths

• By adding all sides