Course Title: Principles of Mathematics
Course Code: MPM1D
Grade: 9
Course Type: Academic
Credit Value: 1
Prerequisite: None
Department: Mathematics

Course Description

This course enables students to develop an understanding of mathematical concepts related to algebra, analytic geometry, and measurement and geometry through investigation, the effective use of technology, and abstract reasoning. Students will investigate relationships, which they will then generalize as equations of lines, and will determine the connections between different representations of a linear relation. They will also explore relationships that emerge from the measurement of three-dimensional figures and two-dimensional shapes. Students will reason mathematically and communicate their thinking as they solve multi-step problems.

Course Outline
  • MPM1D Unit1 Overview
  • Accessibility to MPM1D Unit1 Assignment
  • U1L1 Addition of Mixed Numbers (A1.1)
  • U1L2 Subtraction of Mixed Numbers(A1.1)
  • U1L3 Multiplication of Mixed Numbers (A1.2)
  • U1L4 Division of Mixed Numbers (A1.2)
  • U1L5 Integer Operations with Power (Part 1)(A1.3)
  • U1L6 Integer Operations with Power (Part 2)(A1.4)
  • U1L7 Rational Numbers (A2.1)
  • U1L8 Rational Number Operations (Part 1) (A2.2)
  • U1L9 Rational Number Operations (Part 2) (A2.2)
  • U1L10 Powers of Rational Numbers (Part 1)(A2.3)
  • U1L11 Powers of Rational Numbers (Part 2)(A2.3)
  • U1L12 Representing Powers Up to Degree 3 (Part 1)(A2.4)
  • U1L13 Representing Powers Up to Degree 3 (Part 2)(A2.4)
  • U1L14 Multiplying Powers(A2.5)
  • U1L15 Dividing Powers(A2.5)
  • U1L16 Power of a Power (Part 1)(A2.6)
  • U1L17 Power of a Power (Part 2)(A2.6)
  • U1L18 Adding and Subtracting Polynomials (Part 1)(A2.7)
  • U1L19 Adding and Subtracting Polynomials (Part 2)(A2.7)
  • U1L20 Multiplying a Polynomial by a Monomial (Part 1)(A2.8)
  • U1L21 Multiplying a Polynomial by a Monomial (Part 2)(A2.8))
  • U1L22 Simplifying Polynomial Expressions (Part 1)(A2.9)
  • U1L23 Simplifying Polynomial Expressions (Part 2)(A2.9)
  • U1L24 Unit 1 Review
  • Finish and Hand in MPM1D Unit1 Assignment at the end of lesson
  • MPM1D Unit2 Overview
  • Accessibility to MPM1D Unit2 Assignment
  • U2L1 Relations (Part 1)(B1.1)
  • U2L2 Relations (Part 2)(B1.1)
  • U2L3 Exploring Linear Relations(B1.3)
  • U2L4 Properties of Linear Relations (Part 1)(B1.2)
  • U2L5 Properties of Linear Relations (Part 2)(B1.2)
  • U2L6 Equivalent Linear Relations (Part 1)(B1.4)
  • U2L7 Equivalent Linear Relations (Part 2)(B1.4)
  • U2L8 Linear and Nonlinear Relations (Part 1)(B2.1)
  • U2L9 Linear and Nonlinear Relations (Part 2)(B2.1)
  • U2L10 Linear and Nonlinear Relations (Part 3)(B2.1,B2.2)
  • U2L11 Interpreting the Solution of a Linear Equation (Part 1)(B2.2)
  • U2L12 Interpreting the Solution of a Linear Equation (Part 2)(B2.3)
  • U2L13 Interpreting the Solution of a Linear Equation (Part 3)(B2.3)
  • U2L14 Solving Linear Equations Using Inverse Operations (Part 1)(B2.4)
  • U2L15 Solving Linear Equations Using Inverse Operations (Part 2)(B2.4)
  • U2L16 Equation-Solving Strategies (Part 1)(B2.5)
  • U2L17 Equation-Solving Strategies (Part 2)(B2.5)
  • U2L18 Equation-Solving Strategies (Part 3)(B2.5)
  • U2L19 Solving for a Variable in a Linear Relation (Part 1)(B3.1)
  • U2L20 Solving for a Variable in a Linear Relation (Part 2)(B3.1)
  • U2L21 Solving for a Variable in a Linear Relation (Part 3)(B3.3)
  • U2L22 Solving a Linear System Graphically (Part 1)(B3.2)
  • U2L23 Solving a Linear System Graphically (Part 2)(B3.4)
  • U2L24 Unit2 Review
  • Finish and Hand in MPM1D Unit2 Assignment at the end of lesson
  • MPM1D Unit2 Online Test
  • MPM1D Unit3 Overview
  • Accessibility to MPM1D Unit3 Assignment
  • U3L1 Equation of a Line(C1.1)
  • U3L2 Different Forms of the Equation of a Line (Part 1)(C1.2)
  • U3L3 Different Forms of the Equation of a Line (Part 2)(C1.2)
  • U3L4 Slope of Line (Part 1)(C1.3)
  • U3L5 Slope of Line (Part 2)(C1.3)
  • U3L6 Slope of Line (Part 3)(C1.3)
  • U3L7 Using Points to Determine the Equation of a Line (Part 1)(C2.1)
  • U3L8 Using Points to Determine the Equation of a Line (Part 2)(C2.2)
  • U3L9 Using Points to Determine the Equation of a Line (Part 3)(C2.2)
  • U3L10 Parallel and Perpendicular Lines (Part 1)(C2.3)
  • U3L11 Parallel and Perpendicular Lines (Part 2)(C2.4)
  • U3L12 Parallel and Perpendicular Lines (Part 3)(C2.4)
  • U3L13 Interpreting Data (Part 1)(C3.1)
  • U3L14 Interpreting Data (Part 2)(C3.1)
  • U3L15 Lines of Best Fit (Part 1)(C3.2)
  • U3L16 Lines of Best Fit (Part 2)(C3.2)
  • U3L17 Lines of Best Fit (Part 3)(C3.2)
  • U3L18 Curves of Best Fit (Part 1)(C3.3)
  • U3L19 Curves of Best Fit (Part 2)(C3.3)
  • U3L20 Curves of Best Fit (Part 3)(C3.3)
  • U3L21 Reasoning about Data (Part 1)(C3.4)
  • U3L22 Reasoning about Data (Part 2)(C3.4)
  • U3L23 Describing Situation from Graphs (Part 1)(C3.5)
  • U3L24 Describing Situation from Graphs (Part 2)(C3.5)
  • Finish and Hand in MPM1D Unit3 Assignment at the end of lesson
  • MPM1D Unit4 Overview
  • Accessibility to MPM1D Unit4 Assignment
  • U4L1 Interior Angles of Polygons(D1.1)
  • U4L2 Angle Properties of Polygons (Part 1)(D1.2)
  • U4L3 Angle Properties of Polygons (Part 2)(D1.2)
  • U4L4 Quadrilateral Diagonal Properties(D1.3)
  • U4L5 Reasoning about Triangle and Quadrilateral Properties (Part 1)(D1.3)
  • U4L6 Reasoning about Triangle and Quadrilateral Properties (Part 2)(D1.3)
  • U4L7 Reasoning about Properties of Polygons (Part 1)(D1.4)
  • U4L8 Reasoning about Properties of Polygons (Part 2)(D3.2)
  • U4L9 Optimum Area and Perimeter (Part 1)(D1.5)
  • U4L10 Optimum Area and Perimeter (Part 2)(D1.5)
  • U4L11 Problems Involving Composite Shapes (Part 1)(D2.1)
  • U4L12 Problems Involving Composite Shapes (Part 2)(D2.1)
  • U4L13 Problems Involving Composite Shapes (Part 3)(D2.1)
  • U4L14 The Pythagorean Theorem (Part 1)(D2.2)
  • U4L15 The Pythagorean Theorem (Part 2)(D2.2)
  • U4L16 Surface Area of Right Pyramids and Cones (Part 1)(D2.3)
  • U4L17 Surface Area of Right Pyramids and Cones (Part 2)(D2.3)
  • U4L18 Surface Area of Right Pyramids and Cones (Part 3)(D2.3)
  • U4L19 Volumes of Pyramids and Cones (Part 1)(D2.4)
  • U4L20 Volumes of Pyramids and Cones (Part 2)(D2.5)
  • U4L21 Volume and Surface Area of a Sphere (Part 1)(D2.6)
  • U4L22 Volume and Surface Area of a Sphere (Part 2)(D3.1)
  • U4L23 Optimum Volume and Surface Area (Part 1)(D3.3)
  • U4L24 Optimum Volume and Surface Area (Part 2)(D3.4)
  • Finish and Hand in MPM1D Unit4 Assignment at the end of lesson
  • Unit 4 Online Test
  • Final Project
  • Final Exam
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