Overview

In this lesson, we solve multi-step integer problems using real-world (money) contexts. The goal is to make sense of the situation, represent it clearly, and justify why your expression matches the story.

Learning Targets

  • Represent multi-step situations using integer expressions
  • Use grouping (brackets) to show what belongs together
  • Compare different expressions and justify which one matches the context

Key Vocabulary

  • Integer — A positive or negative whole number, including zero
  • Expression — A math statement with numbers and operations (no equals sign)
  • Multi-step — A situation that requires more than one operation
  • Grouping / Brackets — Symbols that show what belongs together
  • Model — A way to represent a situation (words, diagrams, or an expression)
  • Justify — Explain why your answer or expression makes sense
  • Context — The real-world situation that gives meaning to the math

Lesson Flow

Warm-Up

  • KenKen puzzles using all four operations
  • Focus on reasoning, patterns, and accuracy

Activity Cards

  • Work in groups using task cards (Compare • Decide • Defend)
  • Choose an expression that best matches the situation
  • Be ready to explain what the other expression would mean

Recording Your Work

  • Record 3–4 cards in your handout (not all of them)
  • Write the chosen expression and a one-sentence justification
  • Try to record at least: one Green, one Blue, and one Black

Wrap Up

  • Whole-class discussion: what belongs together, and why?
  • Quick reflection on what helped you decide where brackets belonged

Green • Blue • Black Practice

Practice questions are grouped into Green, Blue, and Black levels. These levels are about challenge, not speed.

  • Green — Core skills everyone is expected to complete
  • Blue — Shows proficiency through reasoning and interpretation
  • Black — Extends your thinking and requires justification

Start with Green, move to Blue, and try Black when you are ready. You may move between levels as needed.

How We Take Notes in Math 8

Most problems today are worked on whiteboards and discussed in groups. Your notes should capture what matters.

  • The situation or context (what is happening)
  • The expression you chose
  • One sentence explaining why your expression matches the story

Your notes should show your thinking, not just your final answer.

Resources

Use solutions to check your understanding — not to copy answers.

Next Up

In Lesson 1.5, we’ll focus on order of operations conventions and practice evaluating expressions clearly and accurately.