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Two patterns on a graph: 5th grade math

Two numerical patterns; ordered pairs on a graph. 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: two numerical patterns; ordered pairs on a graph.

Teach (10 min)

  • Make two lists from two rules, then pair the matching terms.
  • Look for how each pair is related.
  • 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_patterns?lesson=5-numsense-patterns-1&at=5

Exit ticket (5 min)

  • Three questions on a slip:
  • 1. Rule A: start at 0 and add 5. Rule B: start at 0 and add 10. Which list shows the first four pairs (a number from A, then the matching number from B)?
  • 2. Rule A: start at 0 and add 5. Rule B: start at 0 and add 20. Which list shows the first four pairs (a number from A, then the matching number from B)?
  • 3. Rule A: start at 0 and add 5. Rule B: start at 0 and add 15. Which list shows the first four pairs (a number from A, then the matching number from B)?

Question set

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

  1. Rule A: start at 0 and add 5. Rule B: start at 0 and add 10. Which list shows the first four pairs (a number from A, then the matching number from B)?
  2. Rule A: start at 0 and add 5. Rule B: start at 0 and add 20. Which list shows the first four pairs (a number from A, then the matching number from B)?
  3. Rule A: start at 0 and add 5. Rule B: start at 0 and add 15. Which list shows the first four pairs (a number from A, then the matching number from B)?
  4. Rule A: start at 0 and add 5. Rule B: start at 0 and add 15. Which list shows the first four pairs (a number from A, then the matching number from B)?
  5. Rule A: start at 0 and add 4. Rule B: start at 0 and add 8. Which list shows the first four pairs (a number from A, then the matching number from B)?
  6. Rule A: start at 0 and add 4. Rule B: start at 0 and add 12. Which list shows the first four pairs (a number from A, then the matching number from B)?
  7. Rule A: start at 0 and add 5. Rule B: start at 0 and add 20. Which list shows the first four pairs (a number from A, then the matching number from B)?
  8. Rule A: start at 0 and add 6. Rule B: start at 0 and add 24. Which list shows the first four pairs (a number from A, then the matching number from B)?
  9. Rule A: start at 0 and add 4. Rule B: start at 0 and add 16. Each number in B is how many times the matching number in A? (Look at the pairs: 4 and 16; 8 and 32; 12 and 48.)
  10. Rule A: start at 0 and add 5. Rule B: start at 7 and add 5. Each number in B is how much more than the matching number in A?
Answers
  1. (0, 0), (5, 10), (10, 20), (15, 30)
  2. (0, 0), (5, 20), (10, 40), (15, 60)
  3. (0, 0), (5, 15), (10, 30), (15, 45)
  4. (0, 0), (5, 15), (10, 30), (15, 45)
  5. (0, 0), (4, 8), (8, 16), (12, 24)
  6. (0, 0), (4, 12), (8, 24), (12, 36)
  7. (0, 0), (5, 20), (10, 40), (15, 60)
  8. (0, 0), (6, 24), (12, 48), (18, 72)
  9. 4
  10. 7

Printable sheet

Name: ____________________   Date: ____________

Two patterns on a graph (5th grade)

  1. Rule A: start at 0 and add 2. Rule B: start at 0 and add 8. Which list shows the first four pairs (a number from A, then the matching number from B)?
  2. Rule A: start at 0 and add 2. Rule B: start at 0 and add 4. Which list shows the first four pairs (a number from A, then the matching number from B)?
  3. Rule A: start at 0 and add 2. Rule B: start at 0 and add 6. Which list shows the first four pairs (a number from A, then the matching number from B)?
  4. Rule A: start at 0 and add 6. Rule B: start at 0 and add 18. Which list shows the first four pairs (a number from A, then the matching number from B)?
  5. Rule A: start at 0 and add 6. Rule B: start at 0 and add 18. Which list shows the first four pairs (a number from A, then the matching number from B)?
  6. Rule A: start at 0 and add 2. Rule B: start at 0 and add 6. Which list shows the first four pairs (a number from A, then the matching number from B)?
  7. Rule A: start at 0 and add 3. Rule B: start at 8 and add 3. Each number in B is how much more than the matching number in A?
  8. Rule A: start at 0 and add 6. Rule B: start at 0 and add 18. Each number in B is how many times the matching number in A? (Look at the pairs: 6 and 18; 12 and 36; 18 and 54.)
  9. Rule A: start at 0 and add 2. Rule B: start at 5 and add 2. Each number in B is how much more than the matching number in A?
  10. Rule A: start at 0 and add 2. Rule B: start at 2 and add 2. Each number in B is how much more than the matching number in A?
  11. Rule A: start at 0 and add 2. Rule B: start at 0 and add 6. Which list shows the first four pairs (a number from A, then the matching number from B)?
  12. Rule A: start at 0 and add 3. Rule B: start at 5 and add 3. Each number in B is how much more than the matching number in A?
Key
  1. (0, 0), (2, 8), (4, 16), (6, 24)
  2. (0, 0), (2, 4), (4, 8), (6, 12)
  3. (0, 0), (2, 6), (4, 12), (6, 18)
  4. (0, 0), (6, 18), (12, 36), (18, 54)
  5. (0, 0), (6, 18), (12, 36), (18, 54)
  6. (0, 0), (2, 6), (4, 12), (6, 18)
  7. 8
  8. 3
  9. 5
  10. 2
  11. (0, 0), (2, 6), (4, 12), (6, 18)
  12. 5

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