Maryland Math 8.AT.A.1.b

Math8th GradeAlgebraic Thinking

The Standard

Compare proportional relationships represented in different forms (e.g., graphs, equations, and tables) by analyzing their slopes.

Maryland College and Career Ready Standards for Mathematics (2025) · USE PROPORTIONAL RELATIONSHIPS TO REPRESENT AND REASON ABOUT LINEAR EQUATIONS.

Teacher's field guide

What Students Need to Do: Students find the rate of change in a table, graph, or equation. They use those rates to compare proportional relationships, even when they appear in different forms.
What Mastery Looks Like: A student can find a table's rate from two rows, read a graph's rise per one unit across, and identify the rate in y = 4x. They can tell which relationship grows faster and show how they know.
Common Misconceptions: Students may compare the largest numbers in two tables instead of the change per one unit. They may use a point's height on a graph as its slope, or assume a larger x-value means a faster rate.
How to Assess It: Exit ticket: A table lists (0,0), (2,6), and (4,12). Compare its slope with y = 4x, and explain which graph would be steeper.

Lesson moves

On graph paper, plot (0,0), (2,6), and (4,12), then draw y = 4x and mark each line's rise for one unit across.
Ask: A table increases by 6 for every 2 across, while y = 4x increases by 4 per unit. Which grows faster?
Give pairs of table, graph, and equation cards; students match equal rates, then explain one match to a partner.
Compare printing costs: Shop A charges $0.15 per page, and Shop B's table shows $1 for 5 pages; choose the cheaper shop.

Free download

$Preview of the 8.AT.A.1.b printable worksheet$

A ready-to-print activity worksheet aligned to 8.AT.A.1.b, with an answer key for the teacher on its own page. No account needed.

PDF, US Letter, prints cleanly in black and white.

Keep exploring

Grade, subject, topic, and the complete standard are prefilled. Create one free, no account needed.