SME
Grade 10 Math
Coordinate geometry: distance, midpoint, partitioning a segment and coordinate proofs
The main lesson, then each kind of problem it solves.
Coordinate geometry: distance, midpoint, partitioning a segment and coordinate proofs
Main lesson
The midpoint of a segment
Use this for “Find the midpoint of the segment from (−4, 3) to (8, −5)” or “M is the midpoint; find the other end.”
The point that splits a segment in a ratio
Use this for “Find the point P on AB, A(−2, 1) and B(10, 7), with AP:PB = 1:2.”
Prove a parallelogram with slopes
Use this for “Show that A(−3, −1), B(−1, 3), C(5, 4), D(3, 0) is a parallelogram.”
Prove a right triangle with slopes
Use this for “Is the triangle A(−1, 1), B(1, 5), C(5, 3) a right triangle?”
Perimeter and area on the grid
Use this for “Find the perimeter and area of the triangle A(0, 0), B(6, 0), C(3, 4).”