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Equal expressions: 6th grade math

Equivalent expressions (distributive property, like terms). A free 6th grade lesson plan, a question set with answers and a printable sheet with its key. Copy it and make it yours.

Lesson plan

Goal

  • Students can do this: equivalent expressions (distributive property, like terms).

Teach (10 min)

  • Divide each number by the GCF to find what goes inside the parentheses.
  • 56 − 24: the GCF is 8, and 56 ÷ 8 = 7 and 24 ÷ 8 = 3. So 56 − 24 = 8(7 − 3).
  • Work one example on the board while students say each step aloud, then do one together.

Practise (15 min)

  • Students work the printable sheet in pairs, then alone.
  • Or practise it as a game with no sign-up: https://peabody.kids/math/base10.factorSum?lesson=6-base10-factorsum-2&at=6

Exit ticket (5 min)

  • Three questions on a slip:
  • 1. Which expression is equal to 15 + 25?
  • 2. Write 154 + 56 as a number times a sum: ?(11 + 4). What number goes where the ? is?
  • 3. Write 60 + 84 as a number times a sum: ?(5 + 7). What number goes where the ? is?

Question set

10 questions that read in words, easiest first. Questions that need a picture are on the printable sheet below.

  1. Which expression is equal to 15 + 25?
  2. Write 154 + 56 as a number times a sum: ?(11 + 4). What number goes where the ? is?
  3. Write 60 + 84 as a number times a sum: ?(5 + 7). What number goes where the ? is?
  4. Which expression is equal to 55 + 35?
  5. The GCF of 84 and 35 is 7, so 84 − 35 = 7(□). What number goes in the box, in the parentheses?
  6. Which expression is equal to 77 + 28?
  7. Which expression is equal to 33 + 77?
  8. Which expression is equal to 45 − 18?
  9. The GCF of 104 and 91 is 13, so 104 − 91 = 13(□). What number goes in the box, in the parentheses?
  10. Which expression is equal to 119 + 153?
Answers
  1. 5(3 + 5)
  2. 14
  3. 12
  4. 5(11 + 7)
  5. 7
  6. 7(11 + 4)
  7. 11(3 + 7)
  8. 9(5 − 2)
  9. 1
  10. 17(7 + 9)

Printable sheet

Name: ____________________   Date: ____________

Equal expressions (6th grade)

  1. 33 + 24 = 3(□ + 8). What number goes in the box?
  2. Which expression is equal to 72 − 12?
  3. 132 + 96 = 12(□ + 8). What number goes in the box?
  4. 33 + 36 = 3(□ + 12). What number goes in the box?
  5. Which expression is equal to 40 + 35?
  6. The GCF of 36 and 198 is 18, so 36 + 198 = 18(□). What number goes in the box, in the parentheses?
  7. Which expression is equal to 84 − 70?
  8. Which expression is equal to 15 + 30?
  9. Which expression is equal to 54 − 18?
  10. 55 + 88 = 11(□ + 8). What number goes in the box?
  11. The GCF of 33 and 121 is 11, so 33 + 121 = 11(□). What number goes in the box, in the parentheses?
  12. Which expression is equal to 180 − 18?
Key
  1. 11
  2. 12(6 − 1)
  3. 11
  4. 11
  5. 5(8 + 7)
  6. 13
  7. 14(6 − 5)
  8. 15(1 + 2)
  9. 18(3 − 1)
  10. 5
  11. 14
  12. 18(10 − 1)

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