Distance between two points on a horizontal line: difference between x-coordinates
Distance between two points on a vertical line: difference between y-coordinates
Distance between any two points: apply Pythagorean
Distance between the origin and any point (x, y): apply Pythgorean on (0, 0) and (x, y)
Find the set of all points (x, y) so that the length of each point to the origin is r: apply Pythagorean
Equation of a circle with centre at the origin and radius r: see above
Find the set of all points (x, y) so that the length of each point to the point (a, b) is r: apply Pythagorean
Equation of a circle with centre at (a, b) and radius r: see above
Remainder Theorem
Expansion, simpifying polynomials
grouping, factoring
Find the GCF of polynomials
Long division
Special Products
Completing the square
TODO:
TODO:
Content will be added as course progresses
Content will be added as course progresses
Introduction to trigonometry
Similar triangles
Circle geometry
Right triangle trigonometry
Identify Opposite and Adjacent angles
Definitions: sine, cosine and tangent of an angle in a right-triangle
Sine law
Trigonometry identities
The Unit Circle
Common identities
Trigonometry for competition
Completing the square
Factoring
Ordered pair: An ordered pair describes the location of a point on the Cartesian plane
using horizontal (x) and vertical (y) coordinates. Examples: (1,3), (-3,8), (4,-1), (1.5, -3.2)
