Understanding the Distributive Property

This video lesson, part of Tennessee's at-home learning series for sixth-grade math, focuses on using the distributive property to write equivalent expressions. The lesson begins with a review of the commutative, associative, and distributive properties. It then demonstrates how to apply the distributive property to create equivalent expressions, using models and substitution to prove equivalence. The lesson includes practice problems and concludes with instructions for further practice.

What is the main focus of today's lesson?

• Studying algebraic equations

• Exploring geometry

• Understanding the distributive property

• Learning about fractions

What materials do you need to participate in the lesson?

• Textbook and notebook

• Calculator and ruler

• Laptop and internet

• Paper and pencil

Which property is NOT mentioned as a focus in the lesson?

• Exponential

• Distributive

• Commutative

• Associative

What is the purpose of using a tape diagram in the lesson?

• To measure angles

• To create models for expressions

• To solve equations

• To calculate area

How do you represent the expression 2 times (A + B) using a model?

• By writing it as a fraction

• By using a circle diagram

• By creating two groups of A + B

• By drawing a single line

What is the equivalent expression for 2 times (A + B)?

• A + B

• 2A + 2B

• A + 2B

• 2A + B

What values are used to prove the equivalence of expressions?

• A = 3, B = 4

• A = 4, B = 5

• A = 5, B = 6

• A = 2, B = 3

What is the result of substituting A = 3 and B = 4 in 2 times (A + B)?

• 14

• 16

• 12

• 18

What does 'double' mean in the context of expressions?

• Multiply by two

• Divide by two

• Subtract twice

• Add twice

How can you simplify an expression without drawing a model?

• By dividing terms

• By adding all terms

• By multiplying the number outside the parentheses with each term inside

• By subtracting terms