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Two patterns

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.

Make a sheetDownload PDFThe PDF has this sheet, its answer key and a guide for grown-ups.

How to help

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.

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.

01122334455667788991010(0,0)(1,2)(2,4)(3,6)
Points plotted:
Mathness! Math Worksheets · © 2026 Zubin KhavarianCode 5OAB3-SP-FIRST at mathness.app
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.

01122334455667788991010(0,0)(1,2)(2,4)(3,6)
Points plotted:4
Mathness! Math Worksheets · © 2026 Zubin KhavarianCode 5OAB3-SP-FIRST at mathness.appAnswer key
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.

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Standard

Common Core 5.OA.B.3 · Make two patterns from rules, pair them up and graph the pairs.

Also: Maryland 2025 5.AT.B.3 · Texas TEKS 5.4C · Florida B.E.S.T. MA.5.AR.3.1 · Virginia SOL 4.PFA.1

More grade 5 sheets: operations & algebraic thinking