IP Maths Notes (Lower Sec, Year 1-2): 04) Coordinate Geometry & Graphs
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Understand gradients, intercepts, distance and midpoint formulas, and sketch linear graphs with contextual interpretations.
Last updated 30 Nov 2025
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- Start Here
- Learning targets
- 1 Gradient and intercepts
- 2 Distance and midpoint formulas
Q: What does IP Maths Notes (Lower Sec, Year 1-2): 04) Coordinate Geometry & Graphs cover?
A: Understand gradients, intercepts, distance and midpoint formulas, and sketch linear graphs with contextual interpretations.
Start Here
| Read time | What to take away |
| 1 second | Graphs turn algebra into a picture of direction, position, and change. |
| 10 seconds | Gradient measures change, intercepts show where a graph crosses an axis, and distance or midpoint formulas describe points without drawing perfectly. |
| 100 seconds | Use the examples to practise finding a line from two points, comparing parallel or perpendicular lines, and explaining what a graph means in context. |
Coordinate geometry links algebra to visuals. This note refreshes gradient logic, distance and midpoint formulas, equation forms, and graph interpretation.
These notes align with MOE Lower Secondary Mathematics syllabus used in IP pathways (aligned to O-Level Mathematics 4052 foundations).
Status: MOE Lower Secondary Mathematics syllabus (latest release) checked 2025-11-30 - scope unchanged; remains the reference for these lower-sec notes.
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Learning targets
- Compute gradients and intercepts from points or equations.
- Convert between point-slope, slope-intercept, and general linear forms.
- Apply the distance and midpoint formulas accurately.
- Interpret real-world scenarios from line graphs (rate, supply-demand, temperature).
1 Gradient and intercepts
- Gradient (slope) between points
