NY Next Generation Math NY-6.RP.3.a

Math6th GradeUse ratio and rate reasoning to solve real-world and mathematical problems.

The Standard

Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios.

New York State Next Generation Mathematics Learning Standards

Teacher's field guide

What This Standard Means

What Students Need to Do

Students make tables of equivalent ratios with whole-number measurements, find missing values, and plot paired values. They use tables to compare two ratios.

What Mastery Looks Like

The student scales both quantities by the same factor and completes missing entries. Ordered pairs are plotted correctly, and the comparison is supported by table values.

Common Misconceptions

Students may add the same amount to both ratio quantities instead of multiplying. They may reverse coordinate order or compare only one row from each table.

How to Assess It

Give ratios 3 cups for 2 batches and 5 cups for 4 batches. Ask students to complete tables, plot pairs, and compare flour per batch.

Lesson moves

Ways to Teach It

  1. Build equivalent ratios with counters, record them in a table, and plot each pair.

  2. Ask students how a table shows that two ratios are equivalent.

  3. Play Missing Ratio Relay by completing tables and plotting the new ordered pair.

  4. Compare two recipes by making equivalent-ratio tables for the same number of servings.

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