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Building Expressions

Mathematics • 30 • 15 students • Created with AI following Aligned with Common Core State Standards

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Mathematics
30
15 students
14 November 2025

Teaching Instructions

This is lesson 2 of 4 in the unit "Math in Real Life". Lesson Title: Building Expressions from Stories Lesson Description: Students will build and evaluate multi-step expressions from real-world stories. They will determine the order of operations in a given context and combine two or more operations to form a complete expression.

Grade Level

7th Grade

Duration

30 Minutes

Unit

Math in Real Life (Lesson 2 of 4)


Common Core State Standards (CCSS)

  • CCSS.MATH.CONTENT.7.EE.B.3
    • Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems.
  • CCSS.MATH.CONTENT.7.EE.B.4
    • Use variables to represent quantities and write expressions that record operations with numbers and variables.
  • CCSS.MATH.CONTENT.7.EE.A.1
    • Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
  • CCSS.MATH.PRACTICE.MP1
    • Make sense of problems and persevere in solving them.
  • CCSS.MATH.PRACTICE.MP6
    • Attend to precision.

Learning Objectives

By the end of this lesson, students will be able to:

  • I can translate real-life multi-step stories into mathematical expressions using variables.
  • I can identify the correct order of operations within the context of real-world problems.
  • I can combine two or more mathematical operations accurately to build multi-step expressions.
  • I can evaluate expressions once constructed and explain each step.

Success Criteria

  • Students correctly write expressions using appropriate variables.
  • Students demonstrate understanding of order of operations by correctly evaluating expressions.
  • Students explain their reasoning and steps taken in both writing and evaluating expressions.
  • Active participation in collaborative discussions and problem-solving.

Materials Needed

  • Whiteboard and markers
  • Printed story cards (real-life scenarios)
  • Individual whiteboards or notebooks for student work
  • Dyslexia-friendly worksheets with enlarged fonts, clear spacing, and simple sentence structures
  • Manipulatives (optional, such as counters or blocks)
  • Timer

Lesson Outline

TimeActivityDescriptionDifferentiation & Supports
0-3 minIntroduction / Hook- Quick review/recap of previous lesson on expressions.
- Introduce today’s goal with "I can" statements written on the board.
- Pose a real-life problem verbally and ask: "How could we write an expression to solve this?"
Use dyslexia-friendly fonts on the board, verbal repetition, and provide a printed copy of the "I can" statements.
3-10 minGuided Practice: Building Expressions from Stories- Present 2-3 short, relatable real-life word stories (e.g., buying snacks, calculating time spent on activities).
- As a class, work through translating stories into expressions.
- Emphasize variables, operations, and order (PEMDAS).
- Use think-aloud strategy to model thought process.
For ELL/dyslexic learners: Provide sentence frames ("The expression is... because..."). Visual aids for operation symbols.
10-20 minStudent Activity: Partner Work- Students receive different story cards.
- In pairs, write multi-step expressions and evaluate them.
- Encourage students to explain their reasoning verbally to their partner.
- Teacher circulates to provide guidance and ask probing questions.
Pair lower-level learners with stronger students for peer support. Provide sentence starters. Use manipulatives for concretizing operations if needed.
20-27 minWhole Group Share-Out & Error Analysis- Several pairs share their expressions and solutions.
- Class discusses different approaches and common mistakes.
- Teacher introduces a "buggy" expression for error analysis: ask students to find and correct it.
Project expressions in large print. Scaffold error analysis with guided questions.
27-30 minWrap-Up & Reflection- Review "I can" statements and success criteria.
- Exit Ticket: Write one multi-step expression from a story the student creates or remembers.
- Read instructions aloud and provide a printed, dyslexia-friendly version.
Allow students to write or draw to represent their expression if writing is difficult.

Differentiation Strategies

  • Visual supports: Use color-coding for different operations and parentheses.
  • Sentence frames: Support writing with sentence starters and examples.
  • Peer support: Pair students strategically for collaborative learning.
  • Manipulatives: Use physical objects to model operations for kinesthetic learners.
  • Chunking: Break word stories into smaller parts.
  • Extended time: For students who need it during activities.

Extension Activities for Advanced Learners

  • Create their own multi-step word problems and challenge peers to write expressions.
  • Explore expressions with negative numbers or decimals.
  • Investigate how changing parts of the story affects the expression and solution.
  • Introduce simple equations setting the expression equal to a value to solve for a variable.

Assessment

  • Observation of partner discussions and class participation.
  • Exit Ticket with multi-step expression creation.
  • Informal formative assessment during guided and independent work through questioning.
  • Error analysis participation.

Dyslexia-Friendly Reading Options

  • Use dyslexia-friendly fonts such as OpenDyslexic for all printed material.
  • Keep sentences short and vocabulary simple.
  • Use bullet points and numbered steps for clarity.
  • Provide oral explanations and repeat instructions.
  • Allow students to highlight or underline key words.
  • Use high-contrast text and avoid cluttered pages.

Teacher Reflection (Post-Lesson)

  • Did students achieve the "I can" objectives? Which parts were challenging?
  • Were the differentiation strategies effective for all learners?
  • What student misconceptions emerged during error analysis?
  • How could I adapt the pacing or materials for more engagement or better understanding?

This highly interactive and scaffolded lesson will ensure that 7th graders build not just expressions, but confidence in applying mathematics to real-life contexts. The blend of partner work, whole group discussion, and visual/dyslexia-friendly supports makes it accessible and enriching for all learners.

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