Thinking Math · Student Guide

Think. Talk.
Rotate. Record.

Thinking Math is about more than getting an answer. Show your reasoning, test ideas, learn from your group, and explain why your solution makes sense.

Show your thinking
Work as a team
Explain your reasoning
25-point rubric

Student Expectations

What is expected of you?

You do not have to know the answer immediately. You do have to participate in the thinking, contribute to your group, and make your reasoning visible.

Participate

Ask a question, share an observation, test an idea, record the group’s work, or explain a step. Everyone should contribute.

Explain Your Reasoning

Do not stop with “I just knew it” or “I did it in my head.” Explain how you arrived at your answer and why the strategy makes sense.

Listen to Understand

Give classmates time to finish their ideas. Ask questions before deciding that someone’s strategy is incorrect.

Make Space & Take Space

If you usually speak first, pause and invite someone else in. If you usually stay quiet, challenge yourself to contribute.

Use Resources Responsibly

Use whiteboards, manipulatives, rulers, calculators, or Chromebooks when directed. Resources should support your thinking, not replace it.

Respect Productive Struggle

Feeling confused is part of learning. Try another approach, look for a pattern, test an example, or explain what you already know.

The Routine

Four moves. One shared process.

Your group should keep moving through these four actions as you work. The goal is visible thinking, not one person racing to an answer.

01

THINKTry an idea before asking for help.

02

TALKExplain your reasoning and listen to your teammates.

03

ROTATETake turns using the marker and leading the work.

04

RECORDShow thinking with pictures, numbers, words, tables, or equations.

Before your group is finished: every person should be able to explain what the group did and why the solution makes sense.

How You Are Graded

Thinking Math Rubric

Your score is based on the quality of your mathematical thinking, how clearly you record and explain it, and how you contribute to the group.

Category5 Points4 Points3 Points2–1 Points
Mathematical ReasoningStrategy is logical, complete, and clearly demonstrates strong mathematical thinking.Strategy is mostly logical and shows solid mathematical thinking.Some reasoning is shown, but important steps are missing or unclear.Very little reasoning is shown or the work does not demonstrate a meaningful strategy.
Showing & Recording WorkWork is complete, organized, readable, and uses appropriate equations, tables, diagrams, or explanations.Work is mostly complete and organized with appropriate representations.Some work is recorded, but it may be incomplete, difficult to follow, or missing useful representations.Very little work is recorded or only an answer is shown.
Explanation & JustificationClearly explains the strategy, why it works, and why the final answer makes sense.Explains the strategy and provides some justification.Explanation is present but incomplete or unclear.Explanation is missing or gives little information about the group’s reasoning.
Participation & CollaborationConsistently participates, listens, shares ideas, asks questions, and helps every group member contribute.Participates appropriately and works well with the group most of the time.Participation is inconsistent or relies heavily on others.Rarely participates, prevents others from participating, or does not work productively with the group.
Think · Talk · Rotate · RecordConsistently follows all four expectations and uses resources responsibly.Follows most expectations with only occasional reminders.Follows some expectations but needs repeated reminders.Frequently ignores the routine or uses class time/resources irresponsibly.
Reasoning
5 pts
Recorded Work
5 pts
Explanation
5 pts
Collaboration
5 pts
Routine
5 pts

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5 rubric categories
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25 points total
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StudentReasoning /5Recorded Work /5Explanation /5Collaboration /5Routine /5Total /25PercentNotes