Activity 01
Think-Pair-Share: Array Solutions
Students solve an array partitioning problem individually for 5 minutes. They pair up to explain their reasoning using drawings and words, then switch roles. Pairs share one strong explanation with the whole class.
Explain how to clearly communicate a mathematical solution to others.
Facilitation TipDuring the Think-Pair-Share, circulate and prompt students to use sentence stems like 'First I...' or 'I noticed...' to structure their sharing.
What to look forPresent students with a simple word problem (e.g., 'Sarah has 12 apples and gives 5 to John. How many does she have left?'). Ask them to write down the steps they took to solve it and one sentence explaining their answer. Review for clarity and accuracy of steps.
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Activity 02
Gallery Walk: Peer Critiques
Students post written solutions to word problems on chart paper around the room. In small groups, they visit each station, read explanations, and add sticky note feedback on clarity and justification. Groups revise their own work based on comments.
Critique a peer's explanation of a problem-solving process.
Facilitation TipFor the Gallery Walk, assign each student a colored marker to sign their feedback on peer posters, so you can track participation.
What to look forProvide students with two different written solutions to the same problem. In pairs, students identify one thing they like about each explanation and one question they have for the author of each. Share findings as a class.
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Activity 03
Math Journals: Step-by-Step Writes
Provide a multi-step problem like finding total cost with addition. Students write justifications for each step in journals, including sketches. Partners read and discuss improvements before finalizing.
Construct a written explanation that justifies each step of a solution.
Facilitation TipIn Math Journals, model a think-aloud for a sample problem to show how to write full, logical steps.
What to look forPose the question: 'What makes a mathematical explanation easy to understand?' Facilitate a class discussion, guiding students to identify elements like clear steps, use of numbers and words, and logical flow. Record key ideas on chart paper.
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Activity 04
Role Play: Explain to Classmate
One student acts as the 'explainer' for a geometry problem, using props like blocks. The listener asks clarifying questions, then switches roles. Debrief as a class on effective strategies.
Explain how to clearly communicate a mathematical solution to others.
Facilitation TipFor the Role Play, give students a script template with blanks for their strategy and reasoning to guide their explanations.
What to look forPresent students with a simple word problem (e.g., 'Sarah has 12 apples and gives 5 to John. How many does she have left?'). Ask them to write down the steps they took to solve it and one sentence explaining their answer. Review for clarity and accuracy of steps.
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Generate Complete Lesson→A few notes on teaching this unit
Teachers should model clear explanations first, using think-alouds to show how to connect steps to reasoning. Avoid letting students share vague answers by asking 'How do you know?' after every response. Research shows that students learn best when they practice explaining to peers, not just the teacher, so design activities that require peer interaction.
Students will clearly explain their reasoning in multiple ways, using numbers, words, and drawings to justify each step. They will also ask questions to improve others' explanations and revise their own based on feedback.
Watch Out for These Misconceptions
During Think-Pair-Share, watch for students who only state the answer without explaining their process.
Prompt partners to ask 'What did you do first?' or 'How did you get that number?' and model how to add missing steps to the explanation.
During Gallery Walk, watch for vague feedback like 'Good job' instead of specific critiques.
Teach students to use sentence stems like 'I like how you... but I wonder about...' to give actionable feedback on peers' posters.
During Role Play, watch for students who copy the teacher’s method without adding their own reasoning.
After the role play, ask classmates to identify one part of the explanation that was unique to the speaker and explain why it made sense.
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