7.1.F

Math7th Grade

The Standard

analyze mathematical relationships to connect and communicate mathematical ideas

Texas Essential Knowledge and Skills for Mathematics

Teacher's field guide

What Students Need to Do: Students examine patterns and relationships, then connect them across words, tables, graphs, equations, and diagrams. They explain their reasoning so another person can follow how the ideas fit together.
What Mastery Looks Like: Students identify how quantities, operations, or representations are related. They support a claim by referring to values, patterns, equations, diagrams, or graphs and explain the connection clearly.
Common Misconceptions: Students may describe a pattern without explaining why it works. They may also treat tables, graphs, equations, and verbal descriptions as separate ideas instead of matching representations.
How to Assess It: Give students a table and two possible equations. Ask them to choose the matching equation and explain the relationship using the table and one complete sentence.

Lesson moves

Give pairs tiles to build two growing figures, record each stage in a table, and write an equation connecting stage number and tile count.
Ask students to compare a graph and equation, then write: Both show the same relationship because...
Play a representation match game where students pair cards showing equivalent tables, graphs, equations, diagrams, and verbal descriptions.
Use two phone plan tables and ask students to find when the costs are equal and explain which plan is cheaper afterward.

Keep exploring

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