Maryland Math 7.AT.A.2
The Standard
Identify proportional relationships between quantities. Determine whether two quantities are in a proportional relationship, for example, by testing for equivalent ratios in a table or by graphing on a coordinate plane and observing whether the graph is a straight line through the origin. Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and narrative descriptions of proportional relationships.
Maryland College and Career Ready Standards for Mathematics (2025) · REPRESENT AND REASON ABOUT PROPORTIONAL RELATIONSHIPS TO SOLVE PROBLEMS.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students decide whether one quantity is always the same multiple of another. They check ratios in tables or look for a straight-line graph through the origin. They find the unit rate in tables, graphs, equations, diagrams, and stories.
What Mastery Looks Like
- A student can show that each pair in a table has the same ratio, or explain why a pair breaks the pattern. They can find the unit rate and use it to write an equation such as y = 4x.
Common Misconceptions
- Students may look for equal increases instead of equal ratios. They may think any straight-line graph is proportional, even if it misses the origin. Some divide x by y when the question asks for y per x.
How to Assess It
- Exit ticket: A table lists 1, 2, and 3 notebooks costing $4, $8, and $12. Ask students to show the ratios, give the cost per notebook, and name a point the graph must pass through.
Lesson moves
Ways to Teach It
Use red and blue counters to build batches of 2 red and 3 blue, then record and plot the totals.
Sketch y = 3x and y = 3x + 2; ask students to write why only one is proportional.
Sort cards showing (1,4), (2,8), (3,12) and (1,4), (2,8), (3,13); write the unit rate on the proportional card.
Post a sign saying apples cost $4 per pound; have students make a pounds-cost table and find the cost of 2.5 pounds.
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