Activity 01
Hands-On: Algebra Tile Matching
Provide each small group with algebra tiles representing terms like x, -x, and numbers. Students build expressions such as 2x + x - x + 3, combine tiles by grouping likes, then record the simplified form. Discuss why unlike tiles stay separate.
Analyze why only like terms can be combined in an algebraic expression.
Facilitation TipDuring Algebra Tile Matching, circulate and ask pairs to justify why certain tiles cannot be combined, pressing for the term 'like terms.'
What to look forProvide students with two expressions: 1) 5a + 3b - 2a + 7 and 2) 3(x + 4). Ask them to simplify each expression and write one sentence explaining the main strategy used for each.
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Activity 02
Partner Relay: Distribute and Simplify
Pairs stand at whiteboards. One partner writes an expression with parentheses like 4(2x - 1), the other distributes and combines terms before tagging in. Switch roles after five rounds and check as a class.
Explain how the distributive law simplifies expressions with parentheses.
Facilitation TipIn Partner Relay: Distribute and Simplify, stand near the first pairs to model how to check each other’s distribution before passing the sheet.
What to look forDisplay a series of terms on the board, such as 3y, 5, -2y, 8x, 10. Ask students to identify all pairs of like terms and explain why they are like terms. Then, ask them to identify the constants.
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Activity 03
Card Sort: Expression Simplification
Distribute cards with unsimplified and simplified expressions. Small groups match pairs like 5y + 2y + 3 to 7y + 3, then create their own sets. Share and justify matches with the class.
Differentiate between combining like terms and multiplying terms in an expression.
Facilitation TipFor Card Sort: Expression Simplification, provide one magnifying glass per group to slow down the sorting process and force careful reading of each term.
What to look forPose the question: 'Is 3x + 3y the same as 3(x + y)?' Have students discuss in pairs, using the distributive property and the concept of like terms to justify their answers. Facilitate a whole-class discussion to compare their reasoning.
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Generate Complete Lesson→A few notes on teaching this unit
Teach this topic by starting with physical models before moving to symbols, as research shows this builds stronger conceptual understanding. Avoid rushing to abstract steps; let students struggle slightly with the tiles so they value the symbolic shortcut later. Emphasize the word 'like' in like terms to anchor the concept. Always connect back to why the rules work, not just how they work.
Successful learning looks like students consistently identifying like terms, applying the distributive property correctly, and explaining their steps with clear reasoning. They should move from physical manipulation to confident symbolic work without skipping steps. Peer discussion reinforces clarity and precision in language.
Watch Out for These Misconceptions
During Algebra Tile Matching, watch for students who try to combine tiles of different colors or shapes, such as a variable tile with a constant tile.
Prompt them to verbalize the rule aloud while handling the tiles, such as 'Only tiles that are the same shape and color can combine,' and have them regroup correctly.
During Partner Relay: Distribute and Simplify, watch for students who distribute the coefficient only to the first term inside the parentheses.
Have them place their hand over the entire expression inside the parentheses while saying the rule 'each term gets multiplied,' then redo the step with both hands covering the terms.
During Card Sort: Expression Simplification, watch for students who treat negative signs as separate entities rather than part of the terms.
Ask them to physically flip the negative tile to match its positive counterpart, reinforcing that the sign belongs to the term itself.
Methods used in this brief