6.10

Math6th Grade

Knowledge and Skills Statement (Standard Cluster)

The student applies mathematical process standards to use equations and inequalities to solve problems

Texas Essential Knowledge and Skills for Mathematics

Cluster contents

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

Teacher's field guide

What Students Need to Do: Students turn word and geometry problems into one-step equations or inequalities. They solve for the variable and substitute given values to check whether each statement is true.
What Mastery Looks Like: Students write the correct equation or inequality from a word or geometry problem and solve it accurately. They substitute given values and state whether each makes the statement true.
Common Misconceptions: Students may translate “at most” as greater than or confuse perimeter with area. When testing a value, they may skip substitution or ignore the inequality symbol.
How to Assess It: Exit ticket: A square has a perimeter of 30 cm. Write and solve an equation for its side length, then decide whether 8 satisfies 4s ≤ 30.

Lesson moves

Build one-step equations with algebra tiles and a balance mat, then remove or divide equal amounts on both sides.
Prompt students to explain how at least and at most change a ticket-cost inequality, then defend one example of each.
Run a card sort matching one-step stories, equations or inequalities, solutions, and true or false test values.
Give a $24 snack budget and $3 item prices; students model the purchase limit and test possible quantities.

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