Mathematics Class 9
Orienting Yourself: The Use of Coordinates
Plot points, read quadrants, find distance, midpoint and shape, mirror dots and test a circle.
14 lessons · ~102 min total
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Lessons in this topic
- 0 Start here A roadmap: plotting points, four regions, distance, midpoint and naming a shape. · 3 min You are here
- 1 Two numbers, and the order they come in Two numbers in a fixed order name one point. Swap the order and the point moves. · 6 min
- 2 Four regions, decided by two signs The two signs on a point decide which of four regions it sits in, or whether it sits on an axis instead. · 7 min
- 3 When two points share a coordinate Two points that share a coordinate are exactly one subtraction apart, and the gap is never negative. · 7 min
- 4 The straight-line distance between any two points Two points that share no coordinate hide a right triangle, and its longest side is the distance between them. · 9 min
- 5 The point exactly halfway The midpoint of two points averages each coordinate on its own, never the pair together. · 8 min
- 6 Three points in one line, or very nearly Three points lie on one straight line only when their two hops cross-multiply to equal products. · 9 min
- 7 Testing a corner without a protractor Square the three sides of a triangle: two squares adding to the third means a right angle there. · 8 min
- 8 Naming a shape from its corners alone Sides, diagonals and their midpoints, measured from four corners, decide which four-sided name a shape has earned. · 9 min
- 9 A mirror on an axis A mirror on an axis flips one sign. Lengths stay the same. · 8 min
- 10 Inside, on or outside a circle at the origin Compare x² + y² with r² to place a dot against a circle. · 8 min
- 11 Checkpoint: corners, shapes, mirrors and circles A graded check on the second half of the track. · 6 min
- 12 The big picture Ten ideas, tied back together. · 6 min
- 13 Track quiz Cheat-sheet table plus a reveal quiz — one question per idea. · 8 min
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