Description
This Grade 10 Academic Mathematics course broadens students’ understanding of mathematical relationships and extends problem-solving and algebraic skills. Students investigate linear systems, analytic geometry, quadratic relations and triangle trigonometry.
What You’ll Learn
- Solve and apply linear systems and work with different forms of linear equations.
- Use analytic geometry to investigate slope, lines, line segments and geometric properties.
- Explore properties, transformations and applications of quadratic relations.
- Factor quadratic expressions and solve quadratic equations.
- Use trigonometric ratios and the Pythagorean theorem to solve right-triangle problems.
- Use the sine law and cosine law to solve problems involving acute triangles.
Skills You’ll Develop
- Multi-step problem solving and mathematical inquiry
- Algebraic reasoning and symbolic manipulation
- Analytic geometry and geometric verification
- Graphing, visualization and multiple representations
- Mathematical communication, reasoning and justification
Learning Outcomes
- Determine properties of quadratic relations and connect graphical transformations to algebraic representations.
- Solve quadratic equations and interpret solutions in relation to the corresponding quadratic relationships.
- Model and solve problems involving the intersection of straight lines.
- Use analytic geometry to solve problems involving lines and line segments and verify properties of triangles and quadrilaterals.
- Use ratio and proportion to investigate similar triangles.
- Solve right-triangle problems using primary trigonometric ratios and the Pythagorean theorem.
- Solve acute-triangle problems using the sine law and cosine law.
- Apply mathematical processes such as problem solving, reasoning, reflection, representation, technology use, connections and communication throughout the course.
