3.1.D
Math3rd 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 reasoning with equations, labeled pictures, graphs, and words. They explain how each representation shows the same idea and what their answer means.
What Mastery Looks Like
- A student creates an accurate equation and a labeled model for a problem. The student explains how the representations connect and what the answer means in the situation.
Common Misconceptions
- Students may draw pictures that do not match the numbers or operation. They may leave graphs unlabeled, misuse the equal sign, or give steps without explaining why they work.
How to Assess It
- Give this exit ticket: “Mia has 4 bags with 6 marbles in each bag. Show the problem with an equation and drawing, then explain your answer in two sentences.”
Lesson moves
Ways to Teach It
Have students build 3 groups of 5 counters, then record the situation with a drawing, equation, and written explanation.
Ask, “How do the picture and equation show the same thinking?” and have partners compare answers.
Give groups cards showing word problems, models, equations, and explanations, then have them match each set.
Conduct a class survey, make a labeled bar graph, and write two statements explaining what the graph shows.
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