Lesson Plan

• Describe the fundamental properties of absolute value and how they govern solution strategies.
• Apply algebraic methods to solve the four standard modulus equation forms.
• Analyse and confirm solutions using graphical representations of V‑shaped and linear/quadratic functions.
• Check all obtained solutions against sign and domain restrictions to ensure validity.

• Projector and screen
• Whiteboard and markers
• Printed worksheet with practice problems
• Graphing calculators or Desmos access
• Teacher guide (solution steps)
• Student notebooks

Begin with a real‑world scenario (e.g., distance between two points) to highlight why absolute values matter. Review that students already know linear equations and the definition of |u|. State that by the end of the lesson they will solve each modulus form algebraically and verify results graphically.

1. Do‑now (5'): Quick quiz on absolute‑value properties on the board.
2. Mini‑lecture (10'): Review properties and demonstrate solving |ax + b| = c with two linear cases.
3. Guided practice (12'): Work through |ax + b| = cx + d, emphasizing sign analysis of the right‑hand side.
4. Collaborative activity (10'): In pairs solve |ax + b| = |cx + d|, sketch the V‑shape and line, and present findings.
5. Independent practice (8'): Worksheet on |ax² + bx + c| = d; teacher circulates for support.
6. Exit ticket (5'): Each student writes one key step for each of the four equation types.

Recap the four solution strategies, stressing the importance of checking sign conditions and using graphs for verification. Collect exit tickets and remind students that their homework is to complete an additional set of mixed modulus equations, reinforcing today’s techniques.