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Concept derivation guides

299 concept teaching guides, separate from the 36,000 individual question derivations.

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Concept guide

Coordinate plane: deciding axis or quadrant membership and comparing ordered pairs

In a fixed Cartesian coordinate system, let A=(−3,2), B=(2,−3), B′=(6/3,−3), C=(0,−4), O=(0,0) and E=(−1/2,−5). First prove that the axes meet only at the origin and that every point either lies on an axis or lies in exactly one quadrant; then decide for each point its axis or quadrant, and decide whether A and B, and B and B′, are the same point.

Coordinate plane

derivation-mko-coordinate-plane-01