How it works
Make a list from each rule. Match the lists, then plot each pair: across first, then up.
If rule A adds 3 and rule B adds 6, B is always twice as big as A.
Terms line up by their place in the list.
Worked examples
Make lists
- Rule A starts at 0 and adds 3. Rule B starts at 0 and adds 6.
- A: 0, 3, 6, 9. B: 0, 6, 12, 18.
- Match them term by term.
A pair
- The 3rd terms are 6 and 12.
- Plot 6 across and 12 up.
- Each pair is a point.
A pattern
- B is always twice A.
- 6 is 2 × 3 and 12 is 2 × 6.
- The rules are linked.
A taste of the worksheet
These are the first problems of set A. The printable sheet has many more, with an answer key.
- Rule A adds 3. Rule B adds 6. Both start at 0. What is the 3rd term of Rule A? ___
- What is the 3rd term of Rule B? ___
- The 3rd terms make a pair. Which pair?
- 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?
- Rule A adds 3. Rule B adds 6. Which place is the pair 12 and 24? ___