6.1.E

Math6th 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 Students Need to Do: Students show mathematical thinking with tables, graphs, diagrams, equations, models, or words. They choose a form that organizes information and helps another person understand their reasoning.
What Mastery Looks Like: Students select a useful table, graph, diagram, equation, or written explanation for a problem. Their representation is accurate, labeled, and easy to follow. They can explain how it supports their answer.
Common Misconceptions: Students may make a table, graph, or diagram that does not match the quantities in the problem. They may omit titles, labels, units, or equal scale intervals. Some choose a representation without explaining how it shows their reasoning.
How to Assess It: Use an exit ticket: “A club charges $4 per visit. Show the cost for 1 through 5 visits in two different ways, then explain the connection.”

Lesson moves

Give pairs tiles to build a growing pattern, then have them record each stage with a sketch, table, and numerical rule.
Ask students, “Which representation makes the pattern easiest to understand, and what information does it show clearly?”
Prepare matching cards with tables, graphs, equations, and descriptions, then have teams group cards that represent the same situation.
Have students compare two phone plans by organizing monthly fees and data charges in a table, graph, and written recommendation.

Keep exploring

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