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LESSON NOTES FOR GRADE 10 ACADEMIC MATH (MPM2D)
(Still under construction. Expected completion date: December 2022, all things being equal.)
Review of linear graphs
Graphical solution of linear systems
Method of substitution
Elimination method
Application of linear systems
Length of a line segment
Midpoint of a line segment
Equation of a median
Equation of a right bisector
Equation of an altitude
The midpoint theorem
Properties of quadrilaterals
Equation of a circle
Collecting and fitting data
Graphing equations
Key features of a parabola
Transformations of the parent parabola
Combined transformations
Sketching by hand
Determining the equation of a quadratic from its graph
Exploring the exponential function
Expanding and simplifying polynomial expressions
Factoring polynomial expressions
Connecting factors with $x$-intercepts
Interpreting real and non-real roots
Completing the square
Sketching quadratic relations
Exploring the algebraic development of the quadratic formula
Solving quadratic equations
Applications of quadratic equations
Similar triangles
Ratio of areas
Application of similar triangles
The primary trigonometric ratios
Solving for unknown sides
Solving for unknown angles
Applications of right triangles
The sine law
The cosine law
Applications of oblique triangles
Applications of oblique triangles