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

  1. Similarity and Proportionality
    1. Prerequisite Skills: Algebra
    2. Prerequisite Skills: Angle Properties
    3. Ratios and Proportions: Slideshow | Summary
    4. Similar and Congruent Triangles: Slideshow | Summary
    5. Properties of Similar Triangles: Slideshow | Summary
    6. Applications of Similar Triangles: Slideshow | Summary
  2. Trigonometry
    1. Pythagorean Theorem: Slideshow | Summary
    2. Primary Trigonometric Ratios: Slideshow | Summary
    3. Solving For Sides In Right Triangles: Slideshow | Summary
    4. Solving For Angles In Right Triangles: Slideshow | Summary
    5. Applications of Trigonometric Ratios: Slideshow | Summary
    6. Applications Involving Multiple Triangles: Slideshow | Summary
    7. Sine Law: Slideshow | Summary
    8. Cosine Law: Slideshow | Summary
    9. Applications of Sine/Cosine Laws: Slideshow | Summary
  3. Linear Systems
    1. Solving Linear Systems By Graphing
    2. Solving Linear Systems Using Substitution (Part 1)
    3. Solving Linear Systems Using Substitution (Part 2)
    4. Solving Linear Systems Using Elimination (Part 1)
    5. Solving Linear Systems Using Elimination (Part 2)
    6. Applications of Linear Systems: Numeric/Value Problems
    7. Applications of
      Linear Systems: Percentages/Mixtures
    8. Applications of Linear Systems: Speed, Distance and Time
  4. Analytic Geometry, Part 1
    1. Simplifying Radicals
    2. Length of a Line Segment
    3. Midpoint of a Line Segment
    4. Properties of Triangles
    5. Classifying Quadrilaterals
  5. Analytic Geometry, Part 2
    1. Equations of Circles
    2. Tangents
    3. Circumcentre of a Triangle
    4. Centroid of a Triangle
    5. Orthocentre of a Triangle
    6. Shortest Distance
  6. Polynomials and Factoring
    1. Exponent Laws
    2. Products of Binomials
    3. Extending the Distributive Law and Special Products
    4. Common Factoring
    5. Factoring By Grouping
    6. Factoring Simple Trinomials
    7. Factoring Complex Trinomials
    8. Factoring Special Cases
    9. Multi-Stage Factoring
  7. Quadratic Relations
    1. Quadratic Relations In Standard Form
    2. Quadratic Relations In Vertex Form
    3. Completing the Square: Simple Trinomials
    4. Completing the Square: Complex Trinomials
    5. Quadratic Relations In Factored Form
    6. Converting Quadratic Relations To Factored Form
    7. Partial Factoring
  8. Quadratic Equations and Applications
    1. Solving Quadratic Equations By Factoring
    2. Solving Quadratic Equations By Completing the Square
    3. Solving Quadratic Equations Using the Quadratic Formula
    4. Applications of Quadratics: Roots Problems
    5. Applications of Quadratics: Min/Max Problems