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7th Grade Mathematics Lesson

Bar Models to Balance: Solving Multi-Step Equations with Concert Ticket Pricing

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7th GradeThin-SlicingCCSS.MATH.CONTENT.7.EE.B.4.A50 min
Learning Objective

Students will be able to solve multi-step equations of the form px + q = r by connecting visual bar models to algebraic steps, justifying each step using the properties of equality (CCSS.MATH.CONTENT.7.EE.B.4.A).

Lesson Overview

Students progress from reading and interpreting bar models to writing and solving multi-step equations of the form px + q = r, using concert ticket pricing as the real-world anchor. Tasks thin-slice from matching a bar model to a known equation up through writing and solving equations from complex word problems.

Materials

  • Vertical whiteboards or chart paper
  • Dry-erase markers (multiple colors)
  • Erasers or paper towels
  • Random grouping tool (e.g., cards, app)
  • Printed graphic organizer (scaffoldedSupport)
  • Rulers (optional, for drawing bar models)

Scaffolded Task Progression

1Task 1
A bar model is drawn for you. Match it to the correct equation from the list, then state what each part of the bar model represents. [ Interactive graph / diagram — available in the full lesson ] Equation choices:A) 3x − 9 = 57B) 3x + 9 = 57C) x + 3 = 57D) 9x + 3 = 57 What does each section of the bar represent in a concert ticket context?
2Task 2
The bar model is given. Use it to write the equation AND solve for x. Show your algebraic steps next to the bar model.


[ Interactive graph / diagram — available in the full lesson ]


Concert context: 3 tickets at $x each plus a $9 booking fee totals $57. What is the ticket price?

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