7.10

Math7th Grade

Knowledge and Skills Statement (Standard Cluster)

The student applies mathematical process standards to use one-variable equations and inequalities to represent situations

Texas Essential Knowledge and Skills for Mathematics

Cluster contents

7.10 is a knowledge and skills statement. These are the student expectations under it.

Teacher's field guide

What Students Need to Do: Students turn conditions in a situation into a two-step equation or inequality with one unknown. They show the solution set on a number line and create a matching story from a given mathematical statement.
What Mastery Looks Like: A student can model a situation, solve it, and graph the result with the correct endpoint and shading. Given 3x + 8 ≤ 29, the student writes x ≤ 7 and creates a realistic matching situation.
Common Misconceptions: Students often use = for phrases such as “at most” or reverse < and > because they focus on word order. They may use the wrong endpoint, shade the wrong direction, or forget to reverse the sign after dividing by a negative. Their stories may swap the fixed amount and rate, so the context does not match the expression.
How to Assess It: Use this exit ticket: “A gym charges $12 plus $5 per class. Mia can spend at most $47. Write an inequality, solve it, and graph the solution.”

Lesson moves

Place integer cards on a taped floor number line, then have pairs graph solution cards using a hoop for the endpoint and yarn for shading.
Ask, “How do ‘at most’ and ‘at least’ change a budget model?” Students write examples and defend their inequality symbols.
Run a card match where students pair situation cards, equations or inequalities, solved forms, and number-line graphs, then explain one match.
Give a phone plan with a monthly fee and per-gigabyte charge; students model the largest data use allowed under a set budget.

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