Free Printable WorksheetMathGrade 5Math Curriculum5.91

5.91 Compare Two Patterns and Describe Relationships Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 5 Math worksheet provides structured practice on 5.91 Compare Two Patterns and Describe Relationships. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Skill description: Select the correct statement that correctly describes the relationship between two number patterns. Select the option that matches the expression, equation, or pattern rule and correctly interprets the variable. Corresponding standards: CCSS 5.OA.B.3.

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Grade 5

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related 5.91 Compare Two Patterns and Describe Relationships skill assessments:

Problem 1Difficulty: Mastery

Using the relationship B(n) = A(n) + 3n + 2, suppose a matching term in Pattern B is 23 more than Pattern A. What is n?

An = 6

Bn = 8

Cn = 9

Dn = 7

Solution & Explanation:If B−A=23, then 3n+2=23. Subtract 2: 3n=21. Divide by 3: n=7.

Problem 2Difficulty: Mastery

Term number n: 1 2 3 4 Pattern A: 7 9 11 13 Pattern B: 12 17 22 27 Which rule relates Pattern B to Pattern A and n (matching terms)?

AB(n) = A(n) + 3

BB(n) = 3A(n) + 2

CB(n) = A(n) + 3n + 2

DB(n) = A(n) + 2n

Solution & Explanation:Compute B−A: 12−7=5, 17−9=8, 22−11=11, 27−13=14. These differences go up by 3 each time and equal 3n+2 (for n=1 gives 5, for n=2 gives 8, etc.).

Problem 3Difficulty: Mastery

Term number n starts at 1. Pattern A: 9, 18, 36, 72, ... Pattern B: 3, 6, 12, 24, ... Which statement is true?

AEach term in Pattern A is 6 more than the matching term in Pattern B.

BEach term in Pattern A is 3 times the matching term in Pattern B.

CEach term in Pattern B is 3 times the matching term in Pattern A.

DPattern A and Pattern B have the same common difference.

Solution & Explanation:Compare pairs: 9=3×3, 18=3×6, 36=3×12. The multiplier stays 3, so A=3B.

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Frequently Asked Questions

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 5 Math students. It aligns with educational standard 5.91 (Compare Two Patterns and Describe Relationships).