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MPM2D Principles of Mathematics -
Ontario Curriculum
©2020 Iulia & Teodoru Gugoiu
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Course Notes | Worksheets with Solutions and Practice Tests |
Chapter 1 Linear Systems | |
1.0 Linear Relations (Review) |
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1.1 Connect English with Mathematics and Graphing Lines |
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1.2 The Method of Substitution |
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1.3 Investigate Equivalent Linear Relations and Equivalent Linear Systems |
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1.4 The Method of Elimination |
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1.5 Solve Problems using Linear Systems |
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Chapter 2 Analytic Geometry | |
2.1 Midpoint of a Line Segment |
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2.2 Length of a Line Segment |
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2.3 Apply Slope, Midpoint and Length Formulas |
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2.4 Equation for a Circle Notes 2021 | Handout |
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Chapter 3 Geometric Properties | |
3.1 3.2 Properties of Triangles |
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3.3 3.4 Properties of Quadrilaterals |
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3.5 Properties of Circles Notes 2021 | Handout |
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Chapter 4 Quadratic Relations | |
4.1 Investigate Non-Linear Relations |
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4.3 Investigate Transformations of Quadratics |
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4.4 Graph y=a(x-h)^2+k |
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4.5 Quadratic Relations of the Form y=a(x-r)(x-s) Notes 2021 | Handout |
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4.6 Negative and Zero Exponents |
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Chapter 5 Quadratic Expressions |
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5.1 Multiply Polynomials Notes 2021 | Handout |
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5.2 Special Products Notes 2021 | Handout |
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5.3 Common Factors |
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5.4 Factor Quadratic Expressions of the Forms y=x^2+bx+c |
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5.5 Factor Quadratic Expressions of the Forms y=ax^2+bx+c |
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5.6 Factor a Perfect Square Trinomial and a Difference of Squares |
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Chapter 6 Quadratic Equations |
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6.1 Maxima and Minima (by completing the square) |
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6.2 Solve Quadratic Equations |
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6.3 Graph (factorable) Quadratics using the x-intercepts |
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6.4 Quadratic Formula |
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6.5 Solve Problems using Quadratic Equations |
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Chapter 7 Trigonometry of Right Triangle |
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7.1 Investigate Properties of Similar Triangles |
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7.2 Use Similar Triangles to Solve Problems |
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7.3 The Tangent Ration |
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7.4 The Sine and Cosine Ratios |
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7.5 Solve Problems Involving Right Triangles |
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Chapter 8 Trigonometry of Acute Triangles |
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8.1 The Sine Law |
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8.2 8.3 The Cosine Law |
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8.4 Solve Problems using Trigonometry |
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