Grade 10, Academic (Course Code: MPM 2D)
As prescribed by the Ontario Ministry of Education and its Curriculum
Prerequisite: Principles of Mathematics 9 (MPM 1D) - minimum of 75%
Author of Course: Kevin Leung
OME-Recommended Reference Texts:
1) MathPower 10 (Ontario Edition) - McGraw-Hill Ryerson
2) Math On Call: A Mathematics Handbook
Course Outline:
This Course enables students to broaden their comprehension of relations, extend their skills in multi-step problem solving, and continue to develop their abilities in abstract reasoning. Students will pursue investigations of quadratic functions, their applications and transformations; solve and apply linear systems; solve multi-step problems in analytic geometry to verify properties of geometric figures including triangles, rectangles, parallelograms and circles; investigate the trigonometry of right and acute triangles and the solution of acute triangles using the sine and cosine laws; and develop supporting algebraic skills, including factoring.
Units of Study (Six in Total)
Click on the chapter title to proceed to the course
Introduction: Grade 9 Review
This is not a chapter within the gr.10 curriculum, but is recommended as the introductory class for this course. Review: Linear systems, number systems, algebra skills.
Chapter 1: Linear Systems
Expectations: Determine the POI of two linear equations and interpret its context in a situation. Solve problems and systems by substitution and elimination.
Chapter 2: Analytic Geometry
Expectations: Determine the length and midpoint of a line segment. Determine the equation of a circle and identifying the radius. Solve multi-step problems, applying concepts of slope and the length and midpoint of line segments. Verify geometric properties of a figure. Determine the characteristics of a triangle whose vertex coordinates are given.
Chapter 3: Quadratic Functions
Expectations: Quadratic function in standard form and factored form. Determine the maximum or minimum value of a function. Determine the zeros and the max/min of such a function from its graph. Solve problems related to a real situation.
Chapter 4: Quadratic Equations
Expectations: Solve quadratic equations by factoring and quadratic formula. Sketch a quadratic function graph by locating x-intercepts. Determine the zeros of a quadratic function using algebra. Solve problems in a real situation.
Chapter 5: Polynomials
Expectations: Expand and simplify second-degree polynomial expressions. Factor such expressions involving common factors, differences of squares and trinomials.
Chapter 6: Trigonometry
Expectations: Similarity, congruence of triangles. Sine, Cosine and Tangent formulas and rules; and using them to determine measures and angles triangular sides. Solve problems involving measures of sides and angles in acute triangles.
Conclusion: Evaluation & Preview of Gr.11 Math
It is recommended that students are informed of what they will be learning in grade 11 math, be it personal finance, functions or functions and relations.