Florida Grade 6 Math · Algebraic Reasoning

MA.6.AR.3.3: Tables of Equivalent Ratios

What this Grade 6 benchmark means, worked examples, common mistakes, and a free printable worksheet.

Created by a Florida mom · Published by Tropical Learning LLC

Download Free Worksheet (PDF)See worked examples

What Is Benchmark MA.6.AR.3.3?

Students build and complete two-column and three-column tables of equivalent ratios. A two-column table shows a relationship such as feet to inches. A three-column table shows part to part to whole, such as yellow paint, blue paint, and total paint.

Equivalent ratios come from multiplying (or dividing) every quantity in a row by the same number.

Official benchmarkExtend previous understanding of fractions and numerical patterns to generate or complete a two- or three-column table to display equivalent part-to-part ratios and part-to-part-to-whole ratios.

On the FAST test: part of the Grade 6 reporting category Algebraic Reasoning, which is about 25–36% of the test.

Worked Examples

Worked Example 1

Part-to-Part-to-Whole Table

A paint color uses 2 ounces of yellow for every 3 ounces of blue. Complete a table with the totals for 1, 2, and 3 batches.

11 batch: yellow 2, blue 3, total 2 + 3 = 5
22 batches: multiply by 2: yellow 4, blue 6, total 10
33 batches: multiply by 3: yellow 6, blue 9, total 15

Answer: 2, 3, 5; 4, 6, 10; 6, 9, 15

Worked Example 2

Conversion Table

Complete a table for feet to inches: 1 foot, 3 feet, 5 feet.

11 foot = 12 inches
23 × 12 = 36 and 5 × 12 = 60

Answer: 1 → 12, 3 → 36, 5 → 60

Common Mistakes to Watch For

Adding the same amount instead of multiplying

Wrong:2:3 is equivalent to 4:5.

Add 2 to each and the ratio changes. Multiply both by 2: 2:3 = 4:6.

Forgetting to scale the total column

Wrong:Yellow 4, blue 6, total 5

The total is scaled too: 4 + 6 = 10.

Helpful Math Tip

Make a real mixture, like lemonade from a concentrate, and record each batch size in a table with your child.

Related Grade 6 Skills

MA.6.AR.3.1

Ratios

MA.6.AR.3.5

Ratio and Rate Problems

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Independent Educational Platform. FastChomp is published by Tropical Learning LLC and is not affiliated with, sponsored by, or endorsed by the Florida Department of Education. FAST and Star assessment names are referenced for informational purposes only. FastChomp practice questions are original educational materials, not official Florida FAST assessment questions.