Understanding the Distributive Property

Mrs. Lopez introduces module three, lesson three for grade seven, focusing on writing products as sums and sums as products. The lesson includes solving a ratio problem using a tape diagram, representing sums and products with tape diagrams and arrays, and an introduction to the distributive property. Students learn to apply the distributive property to various expressions and rewrite expressions in standard form using division. The lesson concludes with a homework assignment.

In the ratio problem involving Ross and Monica, if the total amount is $56, how much does Ross receive?

• $40

• $16

• $24

• $32

How can you represent the sum 3 + 2 using a tape diagram?

• Two separate lines

• A single line divided into 3 and 2

• A triangle with 3 and 2 sides

• A circle with 5 sections

What is the result of applying the distributive property to 3(x + 2)?

• 3x + 2x

• x + 6

• 3x + 6

• 3x + 2

When using the distributive property, what do you do with the number outside the parentheses?

• Divide it by each term inside

• Add it to each term inside

• Multiply it by each term inside

• Subtract it from each term inside

If you have 5(8x + 3), what is the expanded form using the distributive property?

• 5x + 24

• 40x + 15

• 8x + 15

• 40x + 3

How do you handle division when applying the distributive property?

• Multiply by the reciprocal

• Change it to subtraction

• Ignore it

• Add the reciprocal

What is the result of applying the distributive property to 2x + 12 divided by 2?

• 2x + 12

• x + 6

• 2x + 6

• x + 12

In the expression 4(x + y + z), what is the expanded form?

• 4x + y + z

• 4x + 4y + 4z

• x + 4y + z

• 4x + y + 4z

What is the first step when dealing with subtraction in the distributive property?

• Add the numbers

• Ignore subtraction

• Change subtraction to addition of the inverse

• Multiply directly

How do you simplify 49z + (-7) divided by 7 using the distributive property?

• 49z - 7

• 7z + 1

• 7z - 1

• 49z + 7