SubjectNest resource library

Development draft · local review needed

Day 1 — Two points, two signed changesYear 9 Maths · T1 W1–2 · Day 1 lesson

Prepare this lesson

Year 9 / Mathematics / Term 1 / Weeks 01 02

Part of the full two-week lesson sequence. Check the pack guide and taught point before teaching.

Open for this lesson: Pack guide.

Download full sequence

Teacher copy: This page may include teaching prompts or answer keys. Answer keys in this public library can be viewed by anyone. Give learners a clean prompt, use checks as formative evidence, and change a case locally when prior access matters.

Goal/materials: recover ordered pairs and calculate horizontal/vertical change; grid, Card 1, two markers. This is a readiness check, not a speed test.

  1. Notice, 3: Mark A(-4,1) and B(2,4). Ask “Which coordinate tells us across?” Key: x. If x/y are swapped, trace axes labels before proceeding.
  2. Model, 5: Say “From A to B I move 6 right: 2−(-4)=6. I move 3 up: 4−1=3. These are changes, not the endpoint coordinates.” Mark a right-angle path on the grid.
  3. Together, 8: Plot Card 2 (1,4)→(5,0); calculate Δx=+4 and Δy=-4. Repeat with points reversed, getting Δx=-4 and Δy=+4. Discuss that a direction change reverses both signs.
  4. Try, 6: New fictional game route (-3,-2)→(2,1). Learner plots and states Δx, Δy in speech, text, tactile steps or AAC. Key: +5,+3. Teacher records coordinate/negative-number prerequisite separately.
  5. Check, 3: “From (4,-1) to (1,3), what changed?” Key: x=-3, y=+4. If learner subtracts in mixed order, write end minus start in two columns, then fresh recheck.