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

Lesson 6.86.8 Small Group · Group 2

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

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
Name Date Period

Learning target I can use the commutative, associative, and identity properties to rewrite expressions, explain why the method works, and use it on a problem I have not seen before.

Remember6.8 Small Group · Group 2

Order and grouping can change for addition and multiplication without changing the value, but not for subtraction or division. Use properties to make friendly numbers. They work for adding and multiplying, but not for subtracting or dividing.

Words: Properties of Operations (Propiedades de las operaciones)Commutative Property (Propiedad conmutativa)Associative Property (Propiedad asociativa)Identity Property (Propiedad de identidad)Property (Propiedad)

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

    Use properties to find 5 × 13 × 2 × 1.

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

    Use properties to find 25 × 11 × 4.

    Show your work
    Final answer:
  3. 3Complete each step, then write the final answer.

    Mia rewrites (n + 8) + 12 as n + 20. Which property lets her group 8 and 12 together? Type commutative or associative.

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

    Use properties to find 0.5 × 37 × 4 × 1.

    Show your work
    Final answer:

Explain your thinkingWhen can you change the order or the grouping of numbers? When can you not? Give one example of each.

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