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Negative fractions: 7th grade math

Negative fractions; all operations with rational numbers. A free 7th 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: negative fractions; all operations with rational numbers.

Teach (10 min)

  • Match the bottoms first, then use the sign rules on the tops.
  • −3/4 + 1/6: the common bottom is 12. −9/12 + 2/12 = −7/12.
  • 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/negatives.addNegFraction?lesson=7-neg-fractions&at=7

Exit ticket (5 min)

  • Three questions on a slip:
  • 1. 11/6 + (−25/12)
  • 2. −11/2 + (−111/12)
  • 3. 11/8 + (−21/2)

Question set

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

  1. 11/6 + (−25/12)
  2. −11/2 + (−111/12)
  3. 11/8 + (−21/2)
  4. 13/4 + (−27/12)
  5. 23/4 − (−21/3)
  6. −1/4 − 21/3
  7. −211/12 + (−11/12)
  8. −1/12 + (−1/2)
  9. 1/2 + (−1/2)
  10. 21/2 − (−23/4)
Answers
  1. −11/4
  2. −35/12
  3. −13/8
  4. −5/6
  5. 51/12
  6. −27/12
  7. −4
  8. −7/12
  9. 0
  10. 51/4

Printable sheet

Name: ____________________   Date: ____________

Negative fractions (7th grade)

  1. −112 − 2112
  2. 116 − (−34)
  3. −134 + (−123)
  4. 23 + (−16)
  5. −34 + 18
  6. 1712 + (−278)
  7. 23 + (−123)
  8. 12 + (−56)
  9. −58 − 216
  10. −118 + (−212)
  11. −2112 + 156
  12. −134 + 11112
Key
  1. −3712
  2. 11112
  3. −3512
  4. 12
  5. −58
  6. −1724
  7. −1
  8. −13
  9. −21924
  10. −358
  11. −14
  12. 16

Written by Peabody from its own skill pages. Free, no ads, no sign-in. Children can practise this on Peabody. More from teachers: teacher-shared resources.