Grade 5 - Math

Grade 5 Analyze Patterns and Relationships Worksheet

6 printable versions - On Level - About 10 minutes each

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Analyze Patterns and Relationships

Grade 5 - Math - On Level

Worksheet 1

  1. Pattern A starts at 0 and adds 3. What is term 4?

  2. Pattern B starts at 0 and adds 21. What is term 8?

  3. Pattern A adds 7; Pattern B adds 14. How are matching terms related?

  4. Which ordered pair shows term 7 from Pattern A and Pattern B?

  5. What tool best organizes patterns that add 5 and 15?

  6. Pattern A starts at 0 and adds 6. What is term 3?

  7. Pattern B starts at 0 and adds 10. What is term 4?

  8. Pattern A adds 8; Pattern B adds 24. How are matching terms related?

  9. Which ordered pair shows term 6 from Pattern A and Pattern B?

  10. What tool best organizes patterns that add 5 and 10?

PencilGopencilgo.ai

About this worksheet

Analyzing patterns asks students to generate two related sequences and describe how their terms compare asks fifth graders to coordinate notation, calculation, and reasoning instead of applying a memorized step in isolation. Students may list numbers correctly but miss the relationship between corresponding terms. This worksheet rotates through short self-checking items so students practice the named skill from several angles. Students generate pattern terms, compare two rules, form ordered pairs, and describe relationships between sequences. Support versions keep numbers friendlier while preserving the same reasoning. Standard and challenge versions add closer choices, less familiar values, or an extra comparison step. Encourage your child to name the operation, place value, unit, or property before calculating. If an answer is close but uses the wrong place, denominator, operation order, or unit, it is the trap.

What your child will learn

  • Generate patterns
  • Compare rules
  • Make ordered pairs
  • Describe relationships

Worked example

If Rule A adds 3 and Rule B adds 6 from zero, each B term is twice the matching A term.

Common mistake

Comparing terms in the same row instead of corresponding terms from both patterns.

Helpful hint

Write both patterns in a table and compare terms in the same position.

Write and Interpret Expressions

Questions parents ask

What is the most common mistake with analyze patterns and relationships?
Comparing terms in the same row instead of corresponding terms from both patterns.
How can I help my child with analyze patterns and relationships?
Write both patterns in a table and compare terms in the same position.
Are these 5th grade math worksheets free to print?
Yes. All 6 printable versions on this page are free to download and print, with no account needed.