Grade Level

7th Grade

Duration

53 minutes

Class Size

24 students

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Common Core State Standards

CCSS.MATH.CONTENT.7.EE.A.1

• Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.

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Learning Objectives (I can statements)

• I can identify like terms in an algebraic expression.
• I can use the distributive property to simplify expressions.
• I can combine like terms correctly to simplify expressions.
• I can check my work for accuracy.

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Success Criteria

• I can correctly group and combine like terms in an expression.
• I can apply the distributive property fluently.
• I can simplify expressions with coefficients and variables with accuracy.
• I can explain the steps I used to simplify an expression.

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Materials Needed

• Whiteboard and markers
• Student notebooks / paper
• Algebra tiles (physical or printable)
• Simplifying expressions worksheet (with both numeric and variable terms)
• Exit ticket slips

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Lesson Breakdown

1. Introduction and Engagement (7 minutes)

• Begin with a brief warm-up: Write the expression 3 + 5 + 2 and ask students how they could make it simpler (expected answer: 10).
• Transition: "Now in algebra, numbers turn into expressions with variables. Today we’re going to learn how to simplify those!"
• Share the learning objectives ("I can" statements) on the board and read aloud with the class.
• Success criteria are shared and explained: "When you finish, you’ll be able to confidently simplify any expression by combining like terms or distributing."

Differentiation: Use visual algebra tiles to demonstrate the concept for learners who need tactile or visual support.

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2. Direct Instruction and Modeling (10 minutes)

• Review key vocabulary: like terms, coefficient, variable, distributive property.
• Model simplifying an expression step-by-step on the board, e.g.:
  ( 4x + 3 + 2x + 7 )
  • Identify like terms: (4x) and (2x), (3) and (7)
  • Combine: ((4x + 2x) + (3 + 7) = 6x + 10)
• Next, model one with distribution:
  ( 3(2x + 4) + 5 )
  • Apply distributive property: (3 \times 2x + 3 \times 4 + 5 = 6x + 12 + 5)
  • Combine like terms: (6x + 17)

Differentiation: Use color-coding for coefficients, variables, and constants for struggling students.

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3. Guided Practice (15 minutes)

• Provide students with 3 expressions to simplify in pairs (e.g.,
  1. (5y + 3 + 2y + 6)
  2. (2(3x + 5) + 4x)
  3. (7a + 2(4 + a) - 3a))
• Circulate the room to support, prompt, and ask probing questions to ensure understanding.
• Encourage students to explain their thought process to each other using “I can explain…” statements.

Differentiation: For students needing extra help, supply algebra tile manipulatives or have them write each step explicitly. For advanced students, increase difficulty by including more complex expressions with negatives or multiple variables.

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4. Independent Practice (12 minutes)

• Students independently simplify 4 problems on a worksheet, e.g.:
  1. (6m + 2 + 4m - 5)
  2. (4(2x - 3) + 3x)
  3. (3b + 5 - 2(b - 1))
  4. (10 + 3(2c + 4) - 7c)
• Teacher observes and provides individual feedback.

Extension: Advanced students solve 2 additional problems involving factoring in reverse (e.g., factor after simplifying).

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5. Closing and Formative Assessment (8 minutes)

• Conduct a quick "exit ticket" where each student simplifies this expression independently:
  ( 2(5x + 3) + 4x - 6 )
• Students turn in the exit ticket before leaving.
• Review key points orally and ask a few students to share their steps.

Differentiation: For students with IEPs or who require accommodations, provide sentence frames or partially completed examples on their exit tickets.

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Differentiation Strategies

• Use manipulatives (algebra tiles) for visual and kinesthetic learners.
• Provide step-by-step guided worksheets for students needing more structure.
• Encourage peer tutoring during guided practice to support collaborative learning.
• Incorporate color coding and graphic organizers to help students organize terms visually.
• Offer extension problems and challenge questions to advanced learners to deepen understanding.

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Extension Activities

• Create a small group challenge: Students form teams and solve multi-step simplifying expression puzzles where one student writes an expression and others simplify it correctly.
• Introduce simple algebraic word problems requiring the forming and simplifying of expressions to bridge abstract and concrete understanding.
• Use technology (if available) such as an algebra app or interactive whiteboard to explore simplifying expressions dynamically.

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Reflection for Teacher

• Monitor which students struggle with identifying like terms vs. distributive property.
• Adjust next lessons on solving equations based on student mastery of simplification.
• Collect exit tickets and analyze common errors for reteaching opportunities.

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Summary

This dynamic 53-minute lesson blends direct instruction, visual aids, collaborative practice, independent work, and formative assessment—ensuring all students meet the Common Core standard 7.EE.A.1 confidently by simplifying expressions through distributive property and combining like terms.