Unit 9 - Coordinate Geometry

Unit Objectives
​Prior Knowledge/For Review – Students should be able to:
  • Solve inequalities and represent solutions on a number line
  • List integers which satisfy an inequality
  • Plot points and read from a graph in the Cartesian plane
  • Find the gradient of a line segment
  • Find the equation of a straight line as   y = mx + c, y = k   or   x = k
 IGCSE Core Learning Objectives – Students should be able to:
  • Write, show and interpret inequalities, including those on the real number line
  • Find solutions of simple linear inequalities (Video 9.01) (Video 9.02)
  • Calculate the distance between two points (Video 9.03)
  • Find the midpoint of a line segment (Video 9.04)
  • Know the relationship between the gradients of parallel lines  (Video 9.05)
  • Find the equation of a straight line given; a graph (Video 9.06), gradient and a point (Video 9.07), equation of parallel line and a point, two points (Video 9.08)
IGCSE Extended Learning  Objectives – Students should be able to:
  • Find the solution of linear inequalities (Video 9.01) (Video 9.02)
  • Plot linear Inequalities on the Cartesian plane  (including on GDC) (Video 9.09)
  • Calculate the gradient of perpendicular lines (Video 9.10) (Video 9.11)
  • Find the equation of a straight line as ax+by=d 
Lesson Resources​
0. Coordinate Geometry Work Booklet
1. y=mx+c
2. General Form
3. Satisfying Equations
4. Inequalities
5. Solving Linear Inequalities
6. Parallel Lines and Equations Through Points
7. ​Equation Through Two Points
8. Midpoints and Distances
9. Perpendicular Lines
10. Sketching Regions
11. Describing Regions
12. Unit Review
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