Georgia 6.NR.4.2
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.
Georgia's K-12 Mathematics Standards · Solve a variety of contextual problems involving ratios, unit rates, equivalent ratios, percentages, and conversions within measurement systems using proportional reasoning.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students create rows of number pairs that keep the same multiplicative relationship. They fill in missing values, graph the pairs as ordered points, and compare two relationships using their tables.
What Mastery Looks Like
- Students complete a ratio table accurately and explain the scale factor used in each row. They plot ordered pairs correctly and use the table or graph to decide which ratio is greater or equivalent.
Common Misconceptions
- Students may add the same amount to both quantities instead of multiplying both by the same factor. They may reverse coordinate pairs, skip the origin, or compare ratios using only one quantity.
How to Assess It
- Exit ticket: A machine packs 3 boxes in 2 minutes. Complete (3, 2), (6, __), (__, 6), plot the pairs, and decide whether 12 boxes in 8 minutes has the same rate.
Lesson moves
Ways to Teach It
Use colored counters to build 2 red for every 3 blue, record four scaled pairs, then graph the pairs.
Ask students to explain why adding 2 to both parts of a ratio does not usually make an equivalent ratio.
Play a card sort matching ratio situations, completed tables, and coordinate graphs that show the same relationship.
Use grocery ads to build tables for two package deals, then compare how much product each dollar buys.
Free download
Printable 6.NR.4.2 Worksheet
A ready-to-print activity worksheet aligned to 6.NR.4.2, with an answer key for the teacher on its own page. No account needed.
PDF, US Letter, prints cleanly in black and white.
Download the worksheetKeep exploring
Related Standards
- 7.PAR.4
Recognize proportional relationships in relevant, mathematical problems; represent, solve, and explain these relationships with tables, graphs, and equations.
- 7.PAR.4.2
Determine the unit rate (constant of proportionality) in tables, graphs (1, r), equations, diagrams, and verbal descriptions of proportional relationships to so...
- 6.PAR.8.1
Locate and position rational numbers on a horizontal or vertical number line; find and position pairs of integers and other rational numbers on a coordinate pla...
- 7.PAR.4.4
Identify, represent, and use proportional relationships.
Turn this exact standard into a lesson
Grade, subject, topic, and the complete standard are prefilled. Create one free, no account needed.