Free Printable WorksheetMathGrade 3Math CurriculumMATH.3.60

3.60 Explainable Patterns Select a Valid Rule Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 3 Math worksheet provides structured practice on 3.60 Explainable Patterns Select a Valid Rule. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Select the rule that correctly explains a pattern and choose an example that fits the rule. (CCSS 3.OA.D.9)

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 3

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 3.60 Explainable Patterns Select a Valid Rule skill assessments:

Problem 1Difficulty: Mastery

A playful vet counts pennies in a jar. Pattern: 3, 10, 31, 94 Find the option where the rule works for the pattern AND the example works for the rule.

ARule: Multiply by 3, then add 2; Example: 284

BRule: Multiply by 3, then add 1; Example: 282

CRule: Add 1, then multiply by 3; Example: 285

DRule: Multiply by 3, then add 1; Example: 283

Solution & Explanation:Check from 3 to 10: 3 × 3+1 = 10. The same step works again, so the rule is “multiply by 3, then add 1.” Apply it to 94: 94 × 3+1 = 283.

Problem 2Difficulty: Mastery

A kind driver plans seats in rows. Term 1: 4, Term 2: 8, Term 3: 12, Term 4: 16 Find the option where the rule works for the pattern AND the example works for the rule.

ARule: Term value = 4 × (term number); Example: Term 7 = 32

BRule: Term value = 5 × (term number); Example: Term 7 = 35

CRule: Term value = 4 × (term number); Example: Term 7 = 28

DRule: Add 4 each time; Example: Term 7 = 28

Solution & Explanation:Each term equals the term number times 4: Term 1 is 4 × 1=4, Term 2 is 4 × 2=8, and so on. So Term 7 is 4 × 7 = 28.

Problem 3Difficulty: Mastery

A clever carpenter records tickets sold. Input: 1, 2, 3, 4 Output: 9, 14, 19, 24 Choose the option that has BOTH the correct rule and a true example.

ARule: Output = (input × 5) + 4; Example: input 6 gives 36

BRule: Output = (input × 5) + 4; Example: input 6 gives 34

CRule: Output = (input × 5) + 5; Example: input 6 gives 35

DRule: Output = input + 8; Example: input 6 gives 14

Solution & Explanation:Test input 2: 2 × 5+4 = 14, which matches the output 14. So the rule is Output = (input × 5) + 4. Using that rule, input 6 gives 30+4 = 34.

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Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

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QCan students practice 3.60 Explainable Patterns Select a Valid Rule online with instant feedback?

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 3 Math students. It aligns with educational standard MATH.3.60 (Grade 3 operations and algebraic thinking practice focused on explainable patterns select a valid rule.).