Grade: 10

Level: Academic

Prerequisite: MPM1D

*This course enables students to broaden their understanding of relationships and extend their problem-solving and algebraic skills through investigation, the effective use of technology, and abstract reasoning. Students will explore quadratic relations and their applications; solve and apply linear systems; verify properties of geometric figures using analytic geometry; and investigate the trigonometry of right and acute triangles. Students will reason mathematically and communicate their thinking as they solve multi-step problems.*

The textbook Principles of Mathematics 10 by McGraw-Hill Ryerson is available for sign-out when necessary, but most material will be made available via on-line notes and handouts.

### Topics Covered

- Similarity and Proportionality
- Prerequisite Skills: Algebra
- Prerequisite Skills: Angle Properties
- Ratios and Proportions
- Similar and Congruent Triangles
- Properties of Similar Triangles
- Applications of Similar Triangles

- Trigonometry
- Linear Systems
- Solving Linear Systems By Graphing
- Solving Linear Systems Using Substitution (Part 1)
- Solving Linear Systems Using Substitution (Part 2)
- Solving Linear Systems Using Elimination (Part 1)
- Solving Linear Systems Using Elimination (Part 2)
- Applications of Linear Systems: Numeric/Value Problems
- Applications of

Linear Systems: Percentages/Mixtures - Applications of Linear Systems: Speed, Distance and Time

- Analytic Geometry, Part 1
- Analytic Geometry, Part 2
- Polynomials and Factoring
- Quadratic Relations
- Quadratic Equations and Applications