TEKS Math 7.4.C

Math7th Grade

The Standard

determine the constant of proportionality (k = y/x) within mathematical and real-world problems

Texas Essential Knowledge and Skills for Mathematics

Teacher's field guide

What Students Need to Do: Students find the multiplicative rate connecting x and y by dividing y by x. They work from tables, graphs, equations, and real situations, then explain what the value means.
What Mastery Looks Like: Students correctly calculate the same k from several ordered pairs in a table, graph, equation, or word problem. They label the value with units and explain it as an amount per one unit of x.
Common Misconceptions: Students may divide x by y instead of y by x. They may use any difference between values, or assume every table and graph shows a proportional relationship.
How to Assess It: Give students the points (3, 12) and (5, 20). Ask them to find k, show the calculation, and explain what k means.

Lesson moves

Use linking cubes to build several red-to-blue pairs, record each pair as x and y, then calculate y divided by x.
Ask students to explain why y divided by x stays equal in a proportional table while y minus x may change.
Give groups cards showing tables, graphs, equations, and k values, then have them match representations with the same proportionality constant.
Compare grocery price labels by calculating cost per ounce, then decide which package offers the lower unit price.

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