What makes the fifth grade practice different?

Students generate two linked patterns from two rules and examine how corresponding terms are related, as required by 5.OA.B.3.

Does every pair of patterns have the same relationship?

No. Starting values and rules vary, so students must generate the terms and test the relationship shown by each pair of patterns.

5th grade number patterns

5th grade number patterns worksheets

Fifth grade pattern worksheets pair two numerical rules and ask students to compare corresponding terms. Students generate both sequences, record ordered pairs, and explain a relationship that remains true across the paired patterns.

Free printable PDF worksheet, aligned to Common Core 5.OA.B.3.

Each print is a different sheet with its own answer key. You don't need to sign up.

The kind of problems you'll get

Use each table for its three questions. Ordered pairs list x first, then y.

Start both patterns at 0. Add 2 in one and 6 in the other.
Answer: Pairs: (0, 0), (2, 6), (4, 12). The second term is 3 times the first.

Most problems on this sheet sit beside a picture, model or diagram, so this is the worked example the sheet itself prints. The answer key on page two prints the answer under every problem.

Every print pulls a fresh set of problems at this level, so a make-up test or a second sibling never gets the same sheet.

What's on a 5th grade sheet

The sample sheet above has 6 problems. The 4th grade sample has 10. This sheet is aligned to 5.OA.B.3. The 4th grade sheet is aligned to 4.OA.C.5.

One pattern, three representations. Use each table for its three questions. Ordered pairs list x first, then y. 6 problems per page.

Every version prints on US Letter or A4, with its answer key after the problems.

How to teach this

Keep the two rules visible in separate columns and compare terms in the same row. Encourage your student to test a proposed relationship on every pair, not just the first one. If the relationship fails later, revise the claim instead of changing the generated terms.

Watch for: Kids check only the first jump. Test the rule between every pair of numbers before continuing the pattern. Kids assume every pattern adds. Some subtract or multiply, so compare the neighbors both ways before deciding.

Common questions about 5th grade number patterns

What makes the fifth grade practice different?: Students generate two linked patterns from two rules and examine how corresponding terms are related, as required by 5.OA.B.3.
Does every pair of patterns have the same relationship?: No. Starting values and rules vary, so students must generate the terms and test the relationship shown by each pair of patterns.

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Aligned to Common Core 5.OA.B.3. Reviewed by the One more sheet team. Content version 241, updated September 2026.

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