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

6.12 Graph Equivalent Ratios and Recognize Proportional Lines Worksheet

Download our free printable Grade 6 Math worksheet on 6.12 Graph Equivalent Ratios and Recognize Proportional Lines. Ideal for classroom practice, homeschool learning, independent homework, and standardized test preparation. Available in both print-ready PDF and editable DOCX formats.

Choose your preferred download format:

100% Free • No registration or login required • Instant file access

Download PDF Download DOCX

Prefer interactive practice with instant grading and explanations?Practice Graph Equivalent Ratios and Recognize Proportional Lines Online

Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 6 Math worksheet provides structured practice on 6.12 Graph Equivalent Ratios and Recognize Proportional Lines. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Which graph correctly represents the ratio table and shows a proportional relationship (a line through the origin)? (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 6.12 Graph Equivalent Ratios and Recognize Proportional Lines skill assessments:

Problem 1Difficulty: Mastery

For hours of practice and laps completed, the ratio table is hours: 20, 50, 80, 120 and laps: 50, 125, 200, 300. Which graph has the correct points and a line through the origin?

ALine through (0,0), (50,20), (125,50), (200,80), (300,120)

BLine through (0,0), (20,50), (50,125), (80,200), (120,300)

CLine through (0,0), (20,52), (50,130), (80,208), (120,312)

DLine through (0,2), (20,52), (50,127), (80,202), (120,302)

Solution & Explanation:Each row becomes an ordered pair (hours, laps): (20,50), (50,125), (80,200), (120,300). The same ratio is shown throughout the table because the ratio of laps to hours is 5:2. The correct graph is a straight line through (0,0) that includes all of those points.

Problem 2Difficulty: Mastery

A student wants to graph equivalent ratios for meters climbed and minutes spent. The table gives ordered pairs using (meters, minutes): (9,22), (45,110), (81,198), (117,286). Which option shows the proportional graph?

ALine that includes (0,0) and the table points (9,22), (45,110), (81,198), (117,286)

BLine through (4,0), (13,22), (49,110), (85,198), (121,286)

CGraph with points (0,0), (9,22), (45,110), (81,198), (117,291)

DGraph with points (0,0), (9,26), (45,110), (81,198), (117,286)

Solution & Explanation:Each row becomes an ordered pair (meters, minutes): (9,22), (45,110), (81,198), (117,286). The same ratio is shown throughout the table because the ratio of minutes to meters is 22:9. The correct graph is a straight line through (0,0) that includes all of those points.

Problem 3Difficulty: Mastery

The table for kilograms of cement and bricks set is graphed with kilograms on the x-axis and bricks on the y-axis: kilograms = 18, 54, 90, 126; bricks = 40, 120, 200, 280. Which graph should be chosen?

ALine through (0,3), (18,43), (54,123), (90,203), (126,283)

BLine through (3,0), (21,40), (57,120), (93,200), (129,280)

CGraph with points (0,0), (18,40), (54,120), (90,200), (126,284)

DGraph with a straight line passing through (0,0), (18,40), (54,120), (90,200), (126,280)

Solution & Explanation:Each row becomes an ordered pair (kilograms, bricks): (18,40), (54,120), (90,200), (126,280). The same ratio is shown throughout the table because the ratio of bricks to kilograms is 20:9. The correct graph is a straight line through (0,0) that includes all of those points.

Want more practice questions with step-by-step guidance?

Practice All Questions Online

Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

QHow do I download and print this 6.12 Graph Equivalent Ratios and Recognize Proportional Lines worksheet?

Click either the "Download PDF" or "Download DOCX" button at the top of the page. You can print the PDF directly from your browser or edit the DOCX file in Microsoft Word or Google Docs to tailor the questions to your students.

QIs this 6.12 Graph Equivalent Ratios and Recognize Proportional Lines worksheet free for teachers and homeschoolers?

Yes! All learning materials, worksheets, and practice resources on Free K12 Practice are 100% free for teachers, students, parents, tutors, and homeschooling families for non-commercial educational use. No account or subscription is required.

QCan students practice 6.12 Graph Equivalent Ratios and Recognize Proportional Lines online with instant feedback?

Yes! In addition to this printable worksheet, students can practice 6.12 Graph Equivalent Ratios and Recognize Proportional Lines 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.RP.A.3a (Graph Equivalent Ratios and Recognize Proportional Lines).