6.1.D
Math6th Grade
The Standard
communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate
Texas Essential Knowledge and Skills for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students show a mathematical idea in more than one form, such as words, symbols, diagrams, tables, or graphs. They explain how the forms match and what their result means.
What Mastery Looks Like
- A student presents the same idea accurately with words and at least two other forms, such as an equation, diagram, table, or graph. The student explains how the forms connect and what the result means.
Common Misconceptions
- Students may create a graph or diagram that does not match their equation. They may leave labels off, or give an answer without explaining what it means in the situation.
How to Assess It
- Give an exit ticket with this prompt: “A gym charges $8 per visit. Show the cost for any number of visits with words, a table, and an equation.”
Lesson moves
Ways to Teach It
Build a tile pattern, then record it with a labeled sketch, table, expression, and sentence explaining how each representation connects.
Discuss this prompt: “Which representation best shows how the quantities change, and what information is easier to see in each form?”
Play a card match game where students pair situation, equation, table, graph, and explanation cards, then justify each completed set.
Compare two phone plans by writing equations, making graphs, and explaining which plan costs less for different amounts of data.
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