Course Title: Principles of Mathematics
Course Code: MPM2D
Grade: 10
Course Type: Academic
Credit Value: 1
Prerequisite: MPM1D, Gr9 Mathematics, Academic
Department: Mathematics

Course Description

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.

Course Outline
  • MPM2D Unit1 Overview
  • Accessibility to MPM2D Unit1 Assignment
  • U1L1 Quadratic Relations(A1.1)
  • U1L2 Properties of Graphs of Quadratic Relations (Part 1)(A1.2)
  • U1L3 Properties of Graphs of Quadratic Relations (Part 2)(A1.2)
  • U1L4 Factored from of quadratic relation (Part 1)(A1.3)
  • U1L5 Factored from of quadratic relation (Part 2)(A1.3)
  • U1L6 Expanding Quadratic Expressions (Part 1)(A1.4)
  • U1L7 Expanding Quadratic Expressions (Part 2)(A1.4)
  • U1L8 Quadratic Models Using Factored Form (Part 1)(A2.1)
  • U1L9 Quadratic Models Using Factored Form (Part 2)(A2.1,A2.3)
  • U1L10 Quadratic Models Using Factored Form (Part 3)(A2.2)
  • U1L11 Quadratic and Exponential Graphs(A2.4)
  • U1L12 Common Factors in Polynomials (Part 1)(A3.1)
  • U1L13 Common Factors in Polynomials (Part 2)(A3.1)
  • U1L14 Factorization of Trinomials(A3.2)
  • U1L15 Factoring Quadratic x^2+bx+c (Part 1)(A3.2)
  • U1L16 Factoring Quadratic x^2+bx+c (Part 2)(A3.2)
  • U1L17 Factoring Quadratic ax^2+bx+c (Part 1)(A3.2)
  • U1L18 Factoring Quadratic ax^2+bx+c (Part 2)(A3.2)
  • U1L19 Factoring Quadratic ax^2+bx+c (Part 3)(A3.2)
  • U1L20 Quadratic Factoring: Special Cases (Part 1)
  • U1L21 Quadratic Factoring: Special Cases (Part 2)
  • U1L22 Reasoning about Factoring Polynomials (Part 1)(A3.2)
  • U1L23 Reasoning about Factoring Polynomials (Part 2)(A3.2)
  • U1L24 Unit1 Review
  • Finish and hand in Unit1 assignment at the end of lesson
  • MPM2D Unit2 Overview
  • Accessibility to MPM2D Unit3 Assignment
  • U2L1 Stretching/Reflecting Quadratic Relations (Part 1)(A3.3)
  • U2L2 Stretching/Reflecting Quadratic Relations (Part 2)(A3.3)
  • U2L3 Translations of Quadratic Relations (A3.3)
  • U2L4 Graphing Quadratics in Vertex Form (Part 1)(A3.4)
  • U2L5 Graphing Quadratics in Vertex Form (Part 2)(A3.4)
  • U2L6 Quadratic Models Using Vertex Form (Part 1)(A3.5)
  • U2L7 Quadratic Models Using Vertex Form (Part 2)(A3.5)
  • U2L8 Quadratic Models Using Vertex Form (Part 3)(A3.5)
  • U2L9 Solving Problems Using Quadratic Relations (Part 1)(A3.6)
  • U2L10 Solving Problems Using Quadratic Relations (Part 2)(A3.6)
  • U2L11 Connecting Standard and Vertex Forms (Part 1)(A3.7)
  • U2L12 Connecting Standard and Vertex Forms (Part 2)(A3.7)
  • U2L13 Solving Quadratic Equations (Part 1)(A3.8)
  • U2L14 Solving Quadratic Equations (Part 2)(A3.8)
  • U2L15 Creation of Perfect Squares(A3.8)
  • U2L16 Completing the Square (Part 1)(A3.8)
  • U2L17 Completing the Square (Part 2)(A3.8)
  • U2L18 The Quadratic Formula (Part 1)(A4.1)
  • U2L19 The Quadratic Formula (Part 2)(A4.1)
  • U2L20 Interpreting Quadratic Equation Roots (Part 1)(A4.1)
  • U2L21 Interpreting Quadratic Equation Roots (Part 2)(A4.1)
  • U2L22 Solving Problems Using Quadratic Models (Part 1)(A4.2)
  • U2L23 Solving Problems Using Quadratic Models (Part 2)(A4.2)
  • U2L24 Unit2 Review
  • Finish and hand in unit2 assignemnt at the end of lesson
  • MPM2D Unit3 Overview
  • Accessibility to MPM2D Unit3 Assignment
  • U3L1 Representing Linear Relations(B1.1)
  • U3L2 Solving Linear Equations(B1.1)
  • U3L3 Graphically Solving Linear Systems (Part 1)(B1.1)
  • U3L4 Graphically Solving Linear Systems (Part 2)(B1.1)
  • U3L5 Solving Linear Systems: Substitution (Part 1)(B1.2)
  • U3L6 Solving Linear Systems: Substitution (Part 2)(B1.2)
  • U3L7 Equivalent Linear Systems (Part 1)(B1.1)
  • U3L8 Equivalent Linear Systems (Part 2)(B1.1)
  • U3L9 Solving Linear Systems: Elimination (Part 1)(B1.2)
  • U3L10 Solving Linear Systems: Elimination (Part 2)(B1.2)
  • U3L11 Linear Systems(B3.1)
  • U3L12 Midpoint of a Line Segment (Part 1)(B2.1)
  • U3L13 Midpoint of a Line Segment (Part 2)(B2.1)
  • U3L14 Length of a Line Segment (Part 1)(B2.2)
  • U3L15 Length of a Line Segment (Part 2)(B2.2)
  • U3L16 Equation of a Circle (Part 1)(B2.3)
  • U3L17 Equation of a Circle (Part 2)(B2.3)
  • U3L18 Classifying Figures on a Coordinate Grid (Part 1)(B2.4)
  • U3L19 Classifying Figures on a Coordinate Grid (Part 2)(B2.4)
  • U3L20 Verifying Properties of Geometric Figures (Part 1)(B2.5)
  • U3L21 Verifying Properties of Geometric Figures (Part 2)(B2.5)
  • U3L22 Properties of Geometric Figures(B2.5)
  • U3L23 Using Coordinates to solve problems (Part 1)(B3.2)
  • U3L24 Using Coordinates to solve problems (Part 2)(B3.2,B3.3)
  • Finish and Hand in Unit3 Assignment at the end of lesson
  • Unit 3 Online Test
  • MPM2D Unit4 Overview
  • Accessibility to MPM2D Unit4 Assignment
  • U4L1 Congruence and Similarity in Triangles (Part 1)(C1.1)
  • U4L2 Congruence and Similarity in Triangles (Part 2)(C1.2)
  • U4L3 Congruence and Similarity in Triangles (Part 3)(C1.2)
  • U4L4 Solving Similar Triangle Problems (Part 1)(C1.3)
  • U4L5 Solving Similar Triangle Problems (Part 2)(C1.3)
  • U4L6 Solving Similar Triangle Problems (Part 3)(C1.3)
  • U4L7 Similar Right Triangles(C2.1)
  • U4L8 The Primary Trigonometric Ratios (Part 1)(C2.1)
  • U4L9 The Primary Trigonometric Ratios (Part 2)(C2.1)
  • U4L10 Solving Right Triangles (Part 1)(C2.2)
  • U4L11 Solving Right Triangles (Part 2)(C2.2)
  • U4L12 Solving Right Triangle Problems (Part 1)(C2.3)
  • U4L13 Solving Right Triangle Problems (Part 2)(C2.3)
  • U4L14 Solving Right Triangle Problems (Part 3)(C2.3)
  • U4L15 Exploring the Sine Law(C3.1)
  • U4L16 Applying the Sine Law (Part 1)(C3.1)
  • U4L17 Applying the Sine Law (Part 2)(C3.1)
  • U4L18 Exploring the Cosine Law(C3.2)
  • U4L19 Applying the Cosine Law (Part 1)(C3.2)
  • U4L20 Applying the Cosine Law (Part 2)(C3.2)
  • U4L21 Solving Acute Triangle Problems (Part 1)(C3.3)
  • U4L22 Solving Acute Triangle Problems (Part 2)(C3.3)
  • U4L23 Solving Acute Triangle Problems (Part 3)(C3.4)
  • U4L24 Unit4 Review
  • Finish and Hand in Unit4 Assignment at the end of lesson
  • Final Exam
  • Final Project
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