Making two number patterns from two rules, pairing up their terms, and spotting how the patterns are related, such as each B term being twice the A term.
Follow each rule from its start to write the terms. Pair the terms in the same position as (A, B). Then look across the pairs: B is always the same number of times A.
ruletells how to get the next term
termone number in a pattern
ordered pair(A, B): two numbers in a set order
correspondingin the same position in both lists
Watch for: Starting a pattern at the number added instead of at 0. Pairing terms from different positions, like A's third term with B's fourth. Saying B is always 5 more than A: the gap grows, but B is always 2 times A.
At home: Make two piles of coins: one grows by 1 each turn, the other by 3. Write the pairs as you go and ask how the second pile compares with the first.
Sample sheet and answer key
Luna's Space Adventure
Grade 5 · Two patterns · 5.OA.B.3
NameDate
Astronaut Luna is exploring a far-off corner of space. Solve each problem to help Luna's mission go smoothly!
Two rules
Rule A: start at 0, add 1. Rule B: start at 0, add 3.
Rule A:
Rule B:
Pairs (A, B):
Each B term is how many times the A term?
Graph the pairs
Plot each (A, B) pair and join them.
Points plotted:
Sheet
Luna's Space Adventure
Grade 5 · Two patterns · 5.OA.B.3
Answer key
Astronaut Luna is exploring a far-off corner of space. Solve each problem to help Luna's mission go smoothly!
Two rules
Rule A: start at 0, add 1. Rule B: start at 0, add 3.
Rule A:0, 1, 2, 3, 4
Rule B:0, 3, 6, 9, 12
Pairs (A, B):(0, 0) (1, 3) (2, 6) (3, 9) (4, 12)
Each B term is how many times the A term?3
Graph the pairs
Plot each (A, B) pair and join them.
Points plotted:4
Answer key
New problems every time, three levels (gentle, core and stretch), themes to pick from, a second page if you want one. Each sheet comes with an answer key and a one-page guide for grown-ups.