Mathematics — Coordinate Geometry

Exam board: CCEA  |  Back to subjects

Board-Specific Note

Northern Ireland board; content broadly mirrors the other boards.

Learning Objectives

• Find the equation of a line
• Compute distance and midpoint
• Handle parallel and perpendicular lines

Key Points

• Gradient m = (y₂−y₁)/(x₂−x₁)
• Line y = mx + c
• Distance √((x₂−x₁)²+(y₂−y₁)²)
• Midpoint ((x₁+x₂)/2,(y₁+y₂)/2)

Lesson Plan (50 minutes)

1. Starter (5 min): Recall prior knowledge of coordinate geometry with quick questions.
2. Teaching (15 min): Work through each of the learning objectives, explaining principles step by step.
3. Key points review (5 min): Revisit the key points together, confirming understanding.
4. Worked example (10 min): Model the example question: Find the equation of the line through (1,2) and (3,6). Solution: y = 2x
5. Practice (10 min): Students attempt the practice questions independently; circulate and support.
6. Plenary (5 min): Review answers and address misconceptions.

Homework

• Find line through (0,0) and (2,5)
• Are y=2x+1 and y=2x−3 parallel?
• Find intersection of y=x+1 and y=−x+3

Assessment

Check practice answers against the model answer; use the built-in practice questions as formative assessment.