MPM2D0

= Grade 10 Academic Mathematics, MPM2D0. =

Jump to a Unit
Unit Review - Grade 9 Review Unit 1 - Linear Systems Unit 2 - Analytic Geometry Unit 3 - Polynomials Unit 4 - Graphing Quadratics Unit 5 - Trigonometry Course Review

Welcome to my site geared towards the Ontario Grade 9 Academic Mathematics course, code MPM2D0. Please note this website is considered a resource and is meant to enhance the in-class experience, not replace it.

This information is current for the second semester of 2015-2016 at Harold M. Brathwaite Secondary School and is shared with both Mr. Couckuyt and Ms. Syed.

By many students, this course is known as the "Quadratics" or "Parabola" course.

This course makes use of the McGraw Hill text book. All homework references are based on this text book provided in-class. (Available from McGraw Hill for ~$100 CDN)

Below are some lesson templates to help students during the course.

Please note that the below files are a guideline for the course and does not include in-class activities, assignments, quizzes, tests, or other material.

Not all of the below lessons/worksheets may be used and material may change in class based on assessed class level, teacher collaboration, teaching method experimentation, or other acts of random inspiration.

Unit Review - Grade 9 Review

 * **Day** || **Topic** || **Home Fun** ||
 * 1 || Course Outline

Mathematical Form || A - What Do I Remember From Grade 9? || || || ||
 * 2 || Equations of Lines || B - Finding the Equation of a Line
 * 3 || Parallel and Perpendicular Lines || C - Parallel and Perpendicular Lines
 * 4 || Graphing Lines || D - Graphing Lines
 * 5 || Zero and Negative Exponents || p.199, #1-4,8 ||

Unit 1 - Linear Systems
|| || p.26, #1-5 || || p.40, #1-5 || by Substitution and Elimination || p.40, #6,7,10 Thinking: #12a,20c,22 || || E - Number and Age Word Problems || || || G - Coin and Perimeter Word Problems || || Extra: p.50, #3-7, 9-19 ||
 * **Day** || **Topic** || **Home Fun** ||
 * 1 || Solving Linear Systems by Graphing || p.17, #7-9,12
 * 2 || **Quiz #1: Review of Grade 9** ||  ||
 * 3 || Solving Linear Systems by Substitution
 * 4 || Solving Linear Systems by Elimination
 * 5 || Solving Linear Systems
 * 6 || Number and Age and Coin Word Problems
 * || **Quiz #2: Graphing, Substitution, Elimination** ||  ||
 * 8 || Perimeter, Investment and Mixture Problems || F - Investment and Mixture Word Problems
 * 9 || Speed, Distance, and Time Problems
 * 10 || Speed, Distance and Time With Wind or Current || H - Speed, Distance and Time Word Problems
 * 11 || Mixed Word Problems (Work Period) || p.46, #1-16 ||
 * 12 || **REVIEW** || p.48, #2,4-7,10,12-17
 * 13 || **Unit 1 Test** ||  ||
 * 14 || **Unit 1 Thinking** ||  ||

Unit 2 - Analytic Geometry
|| .77, #1-6, 7a, 10 Thinking: #20 || || p.66, #1-3ac,5,6,13-15 Thinking: #22,23,25,29 || and Geometry Definitions || p.96, #1-3 EOL,6,8 Thinking: #19 || || p.66, #4,8,10,19ab p.78, #8 || || p.66, #16,17,19cd p.89, #6,18,21a || || p.89, #10-14,21bc,24 || || p.124, #2-4,6,7,9,13 || p.152, #4,5,8,9,11 ||
 * **Day** || **Topic** || **Home Fun** ||
 * 1 || Length of a Line Segment
 * 2 || Midpoint of a Line Segment
 * 3 || The Equation of a Circle with Centre(0,0)
 * || Lines in Triangles, Day 1: Median
 * 5 || Lines in Triangles, Day 2: Altitude and Right Bisector
 * 6 || Finding the Distance From a Point to a Line
 * 7 || **QUIZ - Length, Midpoint, Equations of Circles,** **Geometry Definitions, Lines in Triangles** ||  ||
 * 8 || Properties of Triangles
 * 9 || Properties of Quadrilaterals || p.142, #1,2,4,5,7,11,14 ||
 * 10 || Properties of Circles || p.150, #1-5,13 ||
 * 11 || Review || p.100, #1-4,6,8,10,11,13-15,17
 * 12 || **Unit 2 Test** ||  ||
 * 13 || **Unit 2 Thinking** ||  ||

Unit 3 - Polynomials
p.208-209, #1-4,6-8,10 || Thinking: #15 || Thinking: #15,16 || Thinking: #17,18 || Factoring Special Quadratics || p.253, #1-7,13,15 Thinking: #20,25 || || || Solving Quadratic Word Problems - Day 1 || p.280, #8,14,19 p.312, #3-6,9,10,13 || || p.316, #4,6,10,13 ||
 * **Day** || **Topic** || **Home Fun** ||
 * 1 || Algebra Review || p.208-209, Take notes.
 * 2 || Multiplying Binomials || p.217, #3-8 EOL,10,13,16 ||
 * 3 || Special Products || p.225, #2-6 EOL,9,12,13 ||
 * 4 || Common Factoring, Grouping || p.234, #3-6 EOL, 8,9,12,13a
 * 5 || Factoring Simple Trinomials || p.240, #3-7
 * 6 || Factoring Complex Trinomials || p.246, #2-6 EOL, 12
 * 7 || **QUIZ**
 * 8 || Factoring - All Types || A - Factoring
 * 9 || Solving Quadratic Equations by Factoring || p.279, #1-6 EOL ||
 * 10 || Solving Quadratic Equations with Fractions || B - Solving Equations With Fractions
 * 11 || Solving Quadratic Equations Using the Quadratic Formula || p.300, #1,2,9 ||
 * 12 || **QUIZ**
 * 13 || Solving Quadratic Word Problems - Day 2 || p.312, #11,12,18-23
 * 14 || **REVIEW** || p.256, #1-3,5-7,9-12,14-22
 * 15 || **Unit 3 Test** ||  ||
 * 16 || **Unit 3 Thinking** ||  ||

Unit 4 - Graphing Quadratics
\text{Graphing } y = x^2 math || p.172, #1a-c,2 p.178, #5 -make a table of values for each and graph || math \text{(of } y = x^2 \text{)} math || p.178, #2,3,4cdf,6,7 p.185, #1-2 abce || math \text{(of } y = x^2 \text{)} math || p.178, #1-4abeh,8 p.185, #1-2dfgh, 3-5 || p.288, #3,4 || || Determine the Equation From a Graph || p.185, #6-11 p.289, #6,7 || \text{Completing the Square - Day 1 (} a = 1 \text{)} math || p.270, #2-6 || \text{Completing the Square - Day 1 (} a \neq 1 \text{)} math || p.270, #7,8,10,11 || || p.271, #12,14,15,16a-c,18,20,23,24 || p.290, #9,10,16 p.301, #7,11 || || p.316, #2,7,8,14 p.318, #1,4 ||
 * **Day** || **Topic** || **Home Fun** ||
 * 1 || math
 * 2 || Vertical and Horizontal Translations
 * 3 || Reflection, Vertical Stretch and Compression
 * 4 || Graphing Quadratics With Roots || p.192, #1-5
 * 5 || Graphing Transformations Worksheet || E - Graphing Transformations Worksheet
 * 6 || **QUIZ**
 * 7 || math
 * 8 || math
 * 9 || Maximum and Minimum Problems
 * 10 || Quadratic Word Problems || p.192, #8,10,13
 * 11 || Finite Differences || K - Finite Differences
 * 12 || **REVIEW** || p.202, #3-8
 * 13 || **Unit 4 Thinking** ||  ||
 * 14 || **Unit 4 Test** ||  ||

Unit 5 - Trigonometry
p.348, #5,6ace,7,8ac || p.372, #1,3,4,6-9 || p.373, #10-14 || Sine Law || p.402, #1-7 || p.418, #1,3,5,6 Short Trig Review: p.386, #3-12,14-19,21-29 p.430, #1-12 || p.410, #7-10 p.419, #9,10 || ||
 * **Day** || **Topic** || **Home Fu**n ||
 * 1 || Review of Angles, Ratios, Pythagorean Theorem || p.326, #1-9,12 ||
 * 2 || Similar Triangles || p.333, #5-9
 * 3 || Applications of Similar Triangles || p.348, #9-12,14-16,19 ||
 * 4 || Introduction to Trigonometry & Solving for Angles || p.362, #1,3-5
 * 5 || Solving for Sides & Solving Triangles || p.362, #6-8,10
 * 6 || Right Triangle Trigonometry Applications || p.380, #1,3,14,15,18-20 ||
 * 7 || **QUIZ**
 * 8 || Cosine Law || p.409, #1-4
 * 9 || Applications of Sine and Cosine Law || p.403, #9,10,11ac,14
 * 10 || Solving Problems with 2 Right Triangles || p.380, #5-7,11,22,30
 * 11 || **TRIGONOMETRY QUEST** ||  ||

Course Review
Please review your personal schedule for your exam dates.
 * **Day** || **Topic** || **Home Fun** ||
 * 1 || Review Unit 1 - Linear Systems || p.438, #2-5,8-10 ||
 * 2 || Review Unit 2 - Analytic Geometry || p.439, #11,12,13a,14-16,17a,19,20,24,25,27a,30 ||
 * 3 || Review Unit 3 - Polynomials || p.442, #42-49,56,59,60,62,63 ||
 * 4 || Review Unit 4 - Quadratics || p.441, #34-40,53,55,57,61 ||
 * 5 || Review Unit 5 - Trig || Trig Review: p.445, #64-66,68-80,82,83,85,86 ||
 * 6 || Final Exam Review || [[file:MPM2DExamReview-Syed.pdf]] ||
 * || Final Exam Review ||  ||