6.9

Math6th Grade

Knowledge and Skills Statement (Standard Cluster)

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

Texas Essential Knowledge and Skills for Mathematics

Cluster contents

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

Teacher's field guide

What Students Need to Do: Students write one-variable, one-step equations or inequalities from word problems. They show solution sets on number lines and write real-world situations that match given equations or inequalities.
What Mastery Looks Like: Students translate words such as “at most,” “more than,” and “exactly” into correct symbols and one-step statements. They solve and graph solutions with the correct endpoint and shading, then create a matching context.
Common Misconceptions: Students may use an equal sign when the situation describes a limit, or reverse the inequality symbol. They may choose the wrong operation, plot only one value for an inequality, or confuse open and closed circles.
How to Assess It: Give the prompt: “A gym charges $8 per visit, and Maya can spend at most $40. Write an inequality and graph its solutions.”

Lesson moves

Give pairs number-line strips and counters to model equations and inequalities, then have students mark all values that make each statement true.
Ask students to explain how “at least 12” differs from “exactly 12,” using a symbol, number line, and matching situation.
Play a card match game connecting situation cards, equation or inequality cards, solution cards, and number-line graphs.
Use a $30 spending limit and item prices to write an inequality for how many identical items can be purchased.

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