Grade 6 Mathematics · Unit 6: Numerical and Algebraic ExpressionsStandard 6.AT.7

Lesson 6.146.14 Small Group · Group 2

Group 2 · Set BSecond challenge form · new problems, same idea

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Learning target I can use the distributive property to expand and factor expressions, explain why the method works, and use it on a problem I have not seen before.

Remember6.14 Small Group · Group 2

Expanding multiplies the outside factor by every term, and factoring pulls the GCF out, so each one undoes the other. You can use the distributive property both ways: to expand an expression and to factor one using the GCF.

Words: The Distributive Property (La propiedad distributiva)Distributive Property (Propiedad distributiva)Factor (Factor)Expand (Desarrollar)Equivalent (Equivalente)

  1. 1Complete each step, then write the final answer.

    Factor 8x + 20 using the GCF. What number goes outside the parentheses?

    Show your work
    Final answer:
  2. 2Complete each step, then write the final answer.

    Factor 14x + 21 using the GCF. What number goes outside the parentheses?

    Show your work
    Final answer:
  3. 3Complete each step, then write the final answer.
    x83??
    Area = width × length.

    A rectangle is 3 units wide and (x + 8) units long. Write its area as an expanded expression: 3x + ___.

    Show your work
    Final answer:
  4. 4Complete each step, then write the final answer.

    Factor 8x + 12y + 20 using the GCF. What number goes outside the parentheses?

    Show your work
    Final answer:

Explain your thinkingExpanding and factoring undo each other. How can you use one to check the other? Use 12x + 18 = 6(2x + 3).

How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help