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Maths · Grade 5 · Set A
Two Rules, One Graph
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A
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Date
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Goal: 15 min
Score/ 12
Remember: Make a list from each rule. Line up the lists, then plot each pair: across first, then up.

Make the lists and pair them

1
Rule A adds 3. Rule B adds 6. Both start at 0. What is the 3rd term of Rule A?
2
What is the 3rd term of Rule B?
3
The 3rd terms make a pair. Which pair?
(18, 9)(9, 18)(3, 6)
4
Rule A adds 1 and Rule B adds 3. Across is A and up is B. The dot P shows a pair. Which pair is P?
(6, 2)(2, 2)(2, 6)
5
Rule A adds 3. Rule B adds 6. Which place is the pair 12 and 24?
6
Rule A adds 1. Rule B adds 2. Across is A and up is B. Which graph plots the pairs?
Graph 1
Graph 2
Graph 3
7
Rule A adds 4. Rule B adds 8. The 2nd terms make the pair 8 and 12.
TrueFalse
8
When Rule B adds twice as much as Rule A, every B term is twice the A term in the same place.
TrueFalse
9
Rule A adds 5. Rule B adds 15. Each B term is times as big as the A term in the same place.
10
Join the two rules to how the lists compare.
  1. 1A adds 2, B adds 6
  2. 2A adds 4, B adds 8
  3. 3A adds 3, B adds 12
  4. 4A adds 5, B adds 25
  • AB is 2 times A
  • BB is 3 times A
  • CB is 4 times A
  • DB is 5 times A
11
Number the steps to plot a pair from two rules.
  • For a pair, go across the first number
  • Go up the second number and mark the point
  • Make a list for each rule
  • Line up the terms in the same place to make pairs
12
Rule A adds 3. Rule B adds 9. Sam says the pair for the 5th terms is 15 and 30. What should the B term be?
13
Rule A adds 3 and Rule B adds 9. Write how you know every B term is 3 times the A term in its place.
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