CCSS.Math.Content.6.RP.A.3a
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.
Common Core State Standards for Mathematics
What this standard means
Students need to build ratio tables from a given relationship, fill in missing values, and see each row as a pair of numbers. They should use multiplication or division to keep the ratio equivalent, then graph those pairs on a coordinate plane.
Mastery looks like a student explaining why every row matches the same ratio, spotting a wrong row, and comparing two tables to decide which ratio is larger. Students often get stuck by adding the same number to both quantities, mixing up x and y on the graph, or comparing only one column instead of the full ratio.
Ways to teach it
- Use red and blue counters to model 2 red for every 3 blue, then record several matching rows in a ratio table.
- Ask students to write which is the better deal, 3 notebooks for $6 or 5 notebooks for $9, and explain with tables.
- Give a three-row ratio table with one wrong value and one blank, then have students fix both in two minutes.
- Compare two drink mixes on recipe cards, then decide which one tastes more lemony using ratio tables.
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- CCSS.Math.Content.6.RP.A.3
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- CCSS.Math.Content.4.MD.B.4
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- CCSS.Math.Content.7.RP.A.2a
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