Maryland Math 6.AT.A.3.b
The Standard
- 6.AT.A.3
- Use ratio and rate reasoning to solve problems in context by reasoning about tables of equivalent ratios, tape diagrams, double number lines, or the Coordinate Plane.
Plot the pairs of values on the Coordinate Plane (in quadrant 1) to represent unit rates and make connections between representations.
Maryland College and Career Ready Standards for Mathematics (2025) · UNDERSTANDING RATIO CONCEPTS AND USE RATIO REASONING TO SOLVE.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students make pairs of values from a ratio table and plot them in the first quadrant. They label the axes and use the point where the first value is 1 to find the unit rate.
What Mastery Looks Like
- A student can plot pairs such as (1, 3), (2, 6), and (3, 9) for pencils costing $3 each. They can match the graph to a table and explain what each point means.
Common Misconceptions
- Students may switch the axes and plot cost before number of items. They may call the cost at (2, 6) the price per pencil, instead of using (1, 3) to find that price.
How to Assess It
- Exit ticket: A table shows 2 pencils cost $6 and 4 pencils cost $12. Plot both pairs, add the point for 1 pencil, label the axes, and state the price per pencil.
Lesson moves
Ways to Teach It
Give students graph paper and a card reading 2 apples for $4; have them table and plot costs for 1, 2, and 3 apples.
Show a graph with (1, 3), (2, 6), and (3, 9); ask students to write why each point shows the same price per pencil.
Play rate match: pair a $2-per-ticket card with a graph card showing (1, 2), (2, 4), and (3, 6).
Use a grocery flyer showing 2 yogurts for $5; graph costs for 1, 2, and 4 yogurts and find the price per yogurt.
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Related Standards
- 6.NOS.C.7
Intersect perpendicular number lines at the point (0,0) as the x-axis and y-axis to introduce the four quadrants of the Coordinate Plane. Represent points on th...
- 6.NOS.C.9
Solve problems in context by graphing points (with the same first coordinate or the same second coordinate) in all four quadrants of the Coordinate Plane.
- 6.NOS.C.7.b
Locate and interpret the positions of rational numbers on the Coordinate Plane, including how changes in the signs of ordered pairs reflect their location into ...
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