7.1.E

Math7th Grade

The Standard

create and use representations to organize, record, and communicate mathematical ideas

Texas Essential Knowledge and Skills for Mathematics

Teacher's field guide

What This Standard Means

What Students Need to Do

Students choose and create tables, graphs, diagrams, equations, or words to show mathematical thinking. They organize and label information, then use the representation to explain a pattern, relationship, or solution.

What Mastery Looks Like

Students create accurate tables, graphs, diagrams, equations, or written explanations for a mathematical situation. They label each representation clearly and explain how the same values or relationships appear across forms.

Common Misconceptions

Students may make a graph, table, or equation that does not match the given information. They may omit labels, units, titles, or scales, making the representation hard to interpret.

How to Assess It

Give this prompt: “A gym charges $12 to join and $5 per visit. Show the cost with a table, graph, and equation, then circle the clearest representation and explain why.”

Lesson moves

Ways to Teach It

  1. Build growing tile figures, record each stage in a table, graph the data, and write a rule that matches the pattern.

  2. Show the same relationship as a table and graph, then ask students which form communicates the pattern better and why.

  3. Play a card match game where students pair situation, table, graph, equation, and verbal description cards that represent the same relationship.

  4. Use a grocery receipt to organize item prices in a table, display spending by category, and explain which representation is clearest.

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