1.1.D

Math1st 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 their math thinking in more than one way, such as with objects, drawings, equations, graphs, or words. They explain how the representations connect and what they show.

What Mastery Looks Like

A student can show the same math idea with objects, pictures, symbols, or words. The student can explain how each representation supports the answer or conclusion.

Common Misconceptions

Students may draw pictures that do not match the numbers or operation. They may give an answer without explaining how their symbols, diagram, or words show their thinking.

How to Assess It

Give students 7 + 5 and ask them to solve it using a drawing, an equation, and one sentence explaining how the representations match.

Lesson moves

Ways to Teach It

  1. Give pairs counters and numeral cards, then have them build an addition story and record it with a picture, equation, and sentence.

  2. Ask students, “How do the picture and equation show the same idea?” and have them explain to a partner.

  3. Play Representation Match by having students pair cards showing the same quantity as objects, ten-frames, equations, and words.

  4. Use a classroom snack count, then have students show the total with a tally chart, number sentence, and spoken explanation.

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