Free Printable WorksheetMathGrade 6Math Curriculum6.RP.A.3a

6.22 Determine Whether a Relationship Is Proportional from a Graph Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 6 Math worksheet provides structured practice on 6.22 Determine Whether a Relationship Is Proportional from a Graph. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Which graph shows a proportional relationship (a straight line through the origin) and has the correct unit rate? (CCSS 6.RP.A.3a; CA 6.RP.A.3a; MA 6.RP.A.3a; NY NY-6.RP.3a; TX 19 TAC §111.26(b)(5)(A); FL MA.6.AR.3.3; VA 6.PFA.2d-e)

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 6.22 Determine Whether a Relationship Is Proportional from a Graph skill assessments:

Problem 1Difficulty: Mastery

From the situation 25 minutes download 150 megabytes, decide which graph has the right y/x unit rate and passes through (0,0).

AGraph A: vertical line through (25, 0) and (25, 150)

BGraph B: straight line through (0, 0) and (25, 151)

CGraph C: straight line through (0, 0) and (25, 150)

DGraph D: curved graph through (0, 0), (25, 150), and (50, 312.5)

Solution & Explanation:The situation gives the point (25, 150). For a proportional relationship, the graph must be a straight line through (0, 0). The unit rate is y/x = 150/25 = 6, so Graph C is the only option with the right slope and the origin.

Problem 2Difficulty: Mastery

Which graph could represent the situation 6 servings contain 4.2 grams of fiber with no starting amount and a constant unit rate?

AGraph A: straight line through (0, 0) and (6, 4.2)

BGraph B: straight line through (0, 4) and (6, 8.2)

CGraph C: horizontal line through (0, 4.2) and (6, 4.2)

DGraph D: straight line through (0, 0) and (6, 10.2)

Solution & Explanation:The situation gives the point (6, 4.2). For a proportional relationship, the graph must be a straight line through (0, 0). The unit rate is y/x = 4.2/6 = 0.7, so Graph A is the only option with the right slope and the origin.

Problem 3Difficulty: Mastery

A student graphs 18 minutes fill 63 gallons using x for minutes and y for gallons. Which option is the correct proportional graph?

AGraph A: straight line through (0, 0) and (18, 64)

BGraph B: two connected line segments through (0, 0), (18, 63), and (36, 120)

CGraph C: straight line through (0, 0) and (63, 18)

DGraph D: straight line through (0, 0) and (18, 63)

Solution & Explanation:The situation gives the point (18, 63). For a proportional relationship, the graph must be a straight line through (0, 0). The unit rate is y/x = 63/18 = 3.5, so Graph D is the only option with the right slope and the origin.

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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.RP.A.3a (Determine Whether a Relationship Is Proportional from a Graph).