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Times makes it smaller?: 5th grade math

Multiplication as scaling (× a number < 1 makes it smaller). A free 5th 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: multiplication as scaling (× a number < 1 makes it smaller).

Teach (10 min)

  • Times a number less than 1 makes it smaller.
  • Times a number more than 1 makes it bigger.
  • 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/numsense.g5_scale?lesson=5-numsense-scale-1&at=5

Exit ticket (5 min)

  • Three questions on a slip:
  • 1. Without working it out: is 1.5 × 8 greater than 8, less than 8, or equal to 8? (Look at the first factor: is it less than 1, equal to 1, or more than 1?)
  • 2. Without working it out: is 0.5 × 19 greater than 19, less than 19, or equal to 19? (Look at the first factor: is it less than 1, equal to 1, or more than 1?)
  • 3. Without working it out: is 1/4 × 11 greater than 11, less than 11, or equal to 11? (Look at the first factor: is it less than 1, equal to 1, or more than 1?)

Question set

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

  1. Without working it out: is 1.5 × 8 greater than 8, less than 8, or equal to 8? (Look at the first factor: is it less than 1, equal to 1, or more than 1?)
  2. Without working it out: is 0.5 × 19 greater than 19, less than 19, or equal to 19? (Look at the first factor: is it less than 1, equal to 1, or more than 1?)
  3. Without working it out: is 1/4 × 11 greater than 11, less than 11, or equal to 11? (Look at the first factor: is it less than 1, equal to 1, or more than 1?)
  4. Without working it out: is 2 × 5 greater than 5, less than 5, or equal to 5? (Look at the first factor: is it less than 1, equal to 1, or more than 1?)
  5. Without working it out: is 1.5 × 34 greater than 34, less than 34, or equal to 34? (Look at the first factor: is it less than 1, equal to 1, or more than 1?)
  6. Without working it out: is 2.5 × 14 greater than 14, less than 14, or equal to 14? (Look at the first factor: is it less than 1, equal to 1, or more than 1?)
  7. Without working it out: is 0.9 × 25 greater than 25, less than 25, or equal to 25? (Look at the first factor: is it less than 1, equal to 1, or more than 1?)
  8. Without working it out: is 0.8 × 35 greater than 35, less than 35, or equal to 35? (Look at the first factor: is it less than 1, equal to 1, or more than 1?)
  9. Without working it out: is 1.1 × 4 greater than 4, less than 4, or equal to 4? (Look at the first factor: is it less than 1, equal to 1, or more than 1?)
  10. Without working it out: is 1/3 × 14 greater than 14, less than 14, or equal to 14? (Look at the first factor: is it less than 1, equal to 1, or more than 1?)
Answers
  1. greater than
  2. less than
  3. less than
  4. greater than
  5. greater than
  6. greater than
  7. less than
  8. less than
  9. greater than
  10. less than

Printable sheet

Name: ____________________   Date: ____________

Times makes it smaller? (5th grade)

  1. Without working it out: is 0.3 × 11 greater than 11, less than 11, or equal to 11? (Look at the first factor: is it less than 1, equal to 1, or more than 1?)
  2. Without working it out: is 9/8 × 9 greater than 9, less than 9, or equal to 9? (Look at the first factor: is it less than 1, equal to 1, or more than 1?)
  3. Without working it out: is 0.3 × 10 greater than 10, less than 10, or equal to 10? (Look at the first factor: is it less than 1, equal to 1, or more than 1?)
  4. Without working it out: is 1/3 × 17 greater than 17, less than 17, or equal to 17? (Look at the first factor: is it less than 1, equal to 1, or more than 1?)
  5. Without working it out: is 1.1 × 27 greater than 27, less than 27, or equal to 27? (Look at the first factor: is it less than 1, equal to 1, or more than 1?)
  6. Without working it out: is 5/5 × 13 greater than 13, less than 13, or equal to 13? (Look at the first factor: is it less than 1, equal to 1, or more than 1?)
  7. Without working it out: is 2/8 × 36 greater than 36, less than 36, or equal to 36? (Look at the first factor: is it less than 1, equal to 1, or more than 1?)
  8. Without working it out: is 1 3/5 × 13 greater than 13, less than 13, or equal to 13? (Look at the first factor: is it less than 1, equal to 1, or more than 1?)
  9. Without working it out: is 1.1 × 32 greater than 32, less than 32, or equal to 32? (Look at the first factor: is it less than 1, equal to 1, or more than 1?)
  10. Without working it out: is 4/8 × 11 greater than 11, less than 11, or equal to 11? (Look at the first factor: is it less than 1, equal to 1, or more than 1?)
  11. Without working it out: is 6/6 × 27 greater than 27, less than 27, or equal to 27? (Look at the first factor: is it less than 1, equal to 1, or more than 1?)
  12. Without working it out: is 1.1 × 4 greater than 4, less than 4, or equal to 4? (Look at the first factor: is it less than 1, equal to 1, or more than 1?)
Key
  1. less than
  2. greater than
  3. less than
  4. less than
  5. greater than
  6. equal to
  7. less than
  8. greater than
  9. greater than
  10. less than
  11. equal to
  12. greater than

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