Free Printable WorksheetMathGrade 6Math Curriculum6.118

6.118 Make Sense of Problems and Persevere in Solving Them Worksheet

Download our free printable Grade 6 Math worksheet on 6.118 Make Sense of Problems and Persevere in Solving Them. Ideal for classroom practice, homeschool learning, independent homework, and standardized test preparation. Available in both print-ready PDF and editable DOCX formats.

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 6 Math worksheet provides structured practice on 6.118 Make Sense of Problems and Persevere in Solving Them. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Which answer choice best represents a valid problem-solving plan or identifies a reasonable next step? (CCSS Standards for Mathematical Practice 1-8; TX 19 TAC §111.26(b)(1)(A)-(G); FL Mathematical Thinking and Reasoning Standards; VA Process Standards)

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 6

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 6.118 Make Sense of Problems and Persevere in Solving Them skill assessments:

Problem 1Difficulty: Mastery

Problem: "A student must solve for x: 3 divided by x = 2 divided by (x + 5)." They often make mistakes with proportions. What is the best next step?

ACross-multiply carefully to get 3(x + 5) = 2x, then solve while noting x cannot be 0 and cannot be −5.

BSet x = 5 because 5 appears in the problem.

CCancel the x terms immediately because they appear in both denominators.

DAdd the fractions to get 5 divided by (2x + 5).

Solution & Explanation:The best next step is the one that organizes the information into a clear, solvable model. Cross-multiply carefully to get 3(x + 5) = 2x, then solve while noting x cannot be 0 and cannot be −5. After that setup, the remaining work is straightforward because you can compute or solve from the model.

Problem 2Difficulty: Mastery

Problem: "A student must determine whether a rule defines a function: each input x is paired with outputs y = 2 and y = x." They are stuck. Which next step is best?

AChoose y = x only and ignore the other output.

BUse the definition: check whether any input could produce more than one output (for example x = 2 gives y = 2 from both rules).

CAssume it is a function because there is an x in one rule.

DGraph it and if it looks nice, it is a function.

Solution & Explanation:The best next step is the one that organizes the information into a clear, solvable model. Use the definition: check whether any input could produce more than one output (for example x = 2 gives y = 2 from both rules). After that setup, the remaining work is straightforward because you can compute or solve from the model.

Problem 3Difficulty: Mastery

Problem: "A student wants to decide whether the series 1 + one half + one quarter + one eighth +... has a sum." They need a plan. Which next step is best?

AMultiply all terms together because series are products.

BDecide it diverges because it has infinitely many terms.

CRecognize it as a geometric series with common ratio one half, then use the geometric sum idea.

DAdd the first five terms and claim that is the final sum.

Solution & Explanation:The best next step is the one that organizes the information into a clear, solvable model. Recognize it as a geometric series with common ratio one half, then use the geometric sum idea. After that setup, the remaining work is straightforward because you can compute or solve from the model.

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Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

QHow do I download and print this 6.118 Make Sense of Problems and Persevere in Solving Them worksheet?

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QIs this 6.118 Make Sense of Problems and Persevere in Solving Them worksheet free for teachers and homeschoolers?

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QCan students practice 6.118 Make Sense of Problems and Persevere in Solving Them online with instant feedback?

Yes! In addition to this printable worksheet, students can practice 6.118 Make Sense of Problems and Persevere in Solving Them interactively on our platform with automated grading, instant score tracking, and detailed step-by-step solutions.

QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 6 Math students. It aligns with educational standard 6.118 (Make Sense of Problems and Persevere in Solving Them).