RESOURCES+-+MPM2D

=GRADE 10 ACADEMIC MATH =

To quickly locate the resources for a particular unit/topic choose one of the following:

,, , , //(FYI: 2 schemes/page so share with a friend!!)// ||
 * GENERAL INFO ||  ||   ||
 * UNIT 0: REVIEW OF GRADE 9 || APPENDIX A || P. 459 - 485 ||
 * UNIT 1: SYSTEMS OF LINEAR EQUATIONS || CHAPTER 1 || P. 2 - 65 ||
 * UNIT 2: ANALYTIC GEOMETRY (LINE SEGMENTS & CIRCLES) || CHAPTER 2 || P. 66 - 127 ||
 * UNIT 3: GRAPHS OF QUADRATIC RELATIONS || CHAPTER 3 || P. 128 - 188 ||
 * UNIT 4: FACTORING ALGEBRAIC EXPRESSIONS || CHAPTER 4 || P. 192 - 243 ||
 * UNIT 5: QUADRATIC MODELS & EQUATIONS || CHAPTER 5 & 6 || P. 244 - 307 & P. 308 - 364 ||
 * UNIT 6: TRIANGLES & TRIGONOMETRY || CHAPTER 7 & 8 || P. 368 - 419 & P. 420 - 455 ||
 * UNIT 2-6: SUMMARY SHEET ASSIGNMENT |||| MARKING SCHEMES
 * UNIT 2-6: SUMMARY SHEET ASSIGNMENT |||| MARKING SCHEMES
 * UNIT 2-6: SUMMARY SHEET ASSIGNMENT |||| MARKING SCHEMES
 * EXAM PREP |||| LOTS of review material - check it out. ||
 * **OTHER HELPFUL WEBSITES**
 * Website where you can practice your timestables ...................... click here
 * Website where you can get help with a math problem ................ click here ||  ||   ||
 * Website where you can practice your timestables ...................... click here
 * Website where you can get help with a math problem ................ click here ||  ||   ||



__GENERAL INFO__
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. > > **NOTE:** The overall expectations for each unit of study are detailed below. To see a list of specific expectations for each unit please refer to the Ministry of Education's webdocument: The Ontario Mathematics Curriculum - Grades 9 & 10 (revised 2005)

PREREQUISITE > Math, Grade 9, Academic or Applied

TEXTBOOK > Nelson Principles of Mathematics 10 © 2010

TESTS, ASSIGNMENTS, & DUE DATES
 * Students are expected to be in class for all test and assignment submission dates. __Proper documentation is required if you have an extenuating circumstance that does not allow you to attend class on that day.__ Communication is necessary and required. So, if you know you are going to be absent talk to the teacher beforehand and let them know of your planned absence. For unplanned absences, a phone call, an email, or a message via the app Remind is needed.
 * Assignments are due at the start of class on the due date. Assignments submitted past the due date, without extenuating circumstances and without discussing it with the teacher prior to the due date, will not be evaluated. However, they are still required to demonstrate your understanding of the course expectations listed below.
 * **Late marks are 10% for grade 9 & 10 and 20% for grade 11 & 12 (including weekends & holidays)**

HANDOUTS (COURSE SPECIFIC)
 * 2DM - Course Outline.pdf
 * 2DM - Introduction Letter.pdf
 * 2DM - Formula Sheet.pdf ...... 2 per page, share with a friend

STUDENT eBOOK > If you need to access a digital copy of the textbook, turn to the inside cover of the textbook and follow the instructions given there. If you do not have a textbook, follow the instructions given below: > 1. Go to [|www.mynelson.com] > 2. Log in to myNelson > ..... **Existing User:** enter your email address and password and click "Login" > ..... **New User:** press "Click here to register" and then follow the onscreen instructions to enter your account information > 3. Use one of the access codes given below to add this resource to your dashboard. > ..... **Codes:** nelson BMFX 9434 ; nelson TVCP 4389 ; nelson MCRS 5222 > 4. You can now access this myNelson resource using your email address and password.

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UNIT 0: __REVIEW OF GRADE 9__
UNIT OUTLINE
 * 2DMR - Unit Outline.pdf

NOTES
 * 2DMR - PP1 (Welcome & Introduction).pdf
 * 2DMR - PP2 (Working With Integers).pdf
 * 2DMR - PP3 (Working With Fractions).pdf
 * 2DMR - PP4 (Algebra I).pdf
 * 2DMR - PP5 (Algebra II).pdf
 * 2DMR - PP6 (Algebra III).pdf
 * 2DMR - PP7 (Pythagorean Theorem).pdf

WORKSHEETS & HANDOUTS
 * 2DMR - HO1 (Review of Essential Skills & Knowledge).pdf ..... review of grade 9 skills (VERY useful if you can't remember how to ...)
 * 2DMR - WS1 (What Do You Remember).pdf
 * 2DMR - WS2 (Working With Integers).pdf
 * 2DMR - WS3 (Working With Fractions).pdf
 * 2DMR - WS4 (Evaluating Algebraic Expressions).pdf
 * 2DMR - WS5 (Simplifying Algebraic Expressions).pdf
 * 2DMR - WS6 (Solving Algebraic Expressions).pdf
 * 2DMR - WS7 (Pythagorean Theorem).pdf
 * 2DMR - WS8 (Key Terms).pdf

EXTRA PRACTICE (ALGEBRA WITH PIZZAZZ)
 * 2DMR - AWP1 (Evaluate An Expression).pdf
 * 2DMR - AWP2 (Simplify An Expression).pdf
 * 2DMR - AWP3 (Solve An Equation).pdf
 * 2DMR - AWP4 (Locate A Point Using Coordinates).pdf

ANSWERS/SOLUTIONS/HINTS
 * 2DMR - AWP (Answers).pdf

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UNIT 1: __SYSTEMS OF LINEAR EQUATIONS__
OVERALL EXPECTATIONS > By the end of this unit, students will:
 * solve a system of linear equations using a variety of strategies
 * solve problems that are modelled by linear equations or systems of linear equations
 * describe the relationship between the number of solutions to a system of linear equations and the coefficients of the equations

UNIT OUTLINE
 * 2DM1 - Unit Outline.pdf

NOTES
 * 2DM1 - PP1 (1.0 Getting Started).pdf
 * 2DM1 - PP2 (1.1 Representing Linear Relations).pdf
 * 2DM1 - PP3 (1.2 Solving Linear Equations).pdf
 * 2DM1 - PP4 (1.3 Graphically Solving Linear Systems).pdf
 * 2DM1 - PP5 (1.4 Solving Linear Systems - Substitution).pdf
 * 2DM1 - PP6 (1.6 Solving Linear Systems - Elimination).pdf
 * 2DM1 - PP7 (1.7 Exploring Linear Systems).pdf

WORKSHEETS & HANDOUTS
 * 2DM1 - WS1 (Graphing Linear Relations).pdf
 * 2DM1 - WS2 (Representing Linear Relations).pdf

EXTRA PRACTICE (ALGEBRA WITH PIZZAZZ)
 * 2DM1 - AWP1 (Graph Lines Using Slope & Y-Intercept).pdf
 * 2DM1 - AWP2 (Graph Lines Using X- & Y-Intercept).pdf
 * 2DM1 - AWP3 (Graph Lines Using An Equation).pdf
 * 2DM1 - AWP4 (Solve Systems Using Graphing).pdf
 * 2DM1 - AWP5 (Solve Systems Using Substitution).pdf
 * 2DM1 - AWP6 (Solve Systems Using Elimination).pdf
 * 2DM1 - AWP7 (Solve Word Problems Using Systems).pdf

ANSWERS/SOLUTIONS/HINTS
 * 2DM1 - AWP (Answers).pdf
 * 2DM1 - TEST1 (Hints).pdf .......... covers NOTES 2-4
 * 2DM1 - TEST2 (Hints).pdf .......... covers NOTES 5-7

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UNIT 2: __ANALYTIC GEOMETRY (LINE SEGMENTS & CIRCLES)__
OVERALL EXPECTATIONS > By the end of this unit, students will:
 * use coordinates to determine and solve problems involving midpoints, slopes, and lengths of line segments
 * determine the equation of a circle with centre (0,0)
 * use properties of line segments to identify geometric figures and verify their properties

UNIT OUTLINE
 * 2DM2 - Unit Outline.pdf

NOTES
 * 2DM2 - PP1 (2.0 Getting Started).pdf
 * 2DM2 - PP2 (2.1 Midpoint of a Line Segment - Part I).pdf
 * 2DM2 - PP3 (2.1 Midpoint of a Line Segment - Part II).pdf
 * 2DM2 - PP4 (2.2 Length of a Line Segment - Part I).pdf
 * 2DM2 - PP5 (2.2 Length of a Line Segment - Part II).pdf
 * 2DM2 - PP6 (2.3 Equation of a Circle).pdf
 * 2DM2 - PP7 (2.4 Classifying Geometric Figures).pdf
 * 2DM2 - PP8 (2.6 Properties of Triangles - Part I).pdf
 * 2DM2 - PP9 (2.6 Properties of Triangles - Part II).pdf

WORKSHEETS & HANDOUTS
 * 2DM2 - WS1 (Finding the Equation of a Line).pdf
 * 2DM2 - WS2 (Classifying Geometric Figures).pdf
 * 2DM2 - WS3 (Lines Inside Triangles).pdf
 * 2DM2 - WS4 (Centres Of Triangles).pdf

EXTRA PRACTICE (ALGEBRA WITH PIZZAZZ)
 * 2DM2 - AWP1 (Find Equation Of Line Given Slope & One Point).pdf
 * 2DM2 - AWP2 (Find Equation Of Line Given Two Points).pdf

ANSWERS/SOLUTIONS/HINTS
 * 2DM2 - AWP (Answers).pdf
 * 2DM2 - TEST1 (Hints).pdf .......... covers NOTES 2-6
 * 2DM2 - TEST2 (Hints).pdf .......... covers NOTES 7-9

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UNIT 3: __GRAPHS OF QUADRATIC RELATIONS__
OVERALL EXPECTATIONS > By the end of this unit, students will:
 * describe the graphs and properties of quadratic relations of the forms y = ax 2 + bx + c and y = a(x-r)(x-s)
 * expand and simplify quadratic expressions
 * apply quadratic models to solve problems

UNIT OUTLINE
 * 2DM3 - Unit Outline.pdf

NOTES
 * 2DM3 - PP1 (3.0 Getting Started).pdf
 * 2DM3 - PP2 (3.1 Exploring Quadratic Relations).pdf
 * 2DM3 - PP3 (3.2 Properties of Quadratic Graphs).pdf
 * 2DM3 - PP4 (3.3 Factored Form of Quadratic Relation - Part I).pdf
 * 2DM3 - PP5 (3.3 Factored Form of Quadratic Relation - Part II).pdf
 * 2DM3 - PP6 (3.4 Expanding The Factored Form).pdf
 * 2DM3 - PP7 (3.5 Quadratic Models).pdf
 * 2DM3 - PP8 (3.6 Exploring Quadratic & Exponential Graphs).pdf

WORKSHEETS & HANDOUTS
 * 2DM3 - WS1 (Exploring Quadratic Relations).pdf
 * 2DM3 - WS2 (Quadratic Models).pdf

ANSWERS/SOLUTIONS/HINTS
 * 2DM3 - TEST1 (Hints).pdf .......... covers NOTES 2-4
 * 2DM3 - TEST2 (Hints).pdf .......... covers NOTES 5-8

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UNIT 4: __FACTORING ALGEBRAIC EXPRESSIONS__
OVERALL EXPECTATIONS > By the end of this unit, students will:
 * determine the greatest common factor in an algebraic expression and use it to write the expression as a product
 * recognize different types of quadratic expressions and use appropriate strategies to factor them

UNIT OUTLINE
 * 2DM4 - Unit Outline.pdf

NOTES
 * 2DM4 - PP1 (4.0 Getting Started).pdf
 * 2DM4 - PP2 (4.1 Common Factors).pdf
 * 2DM4 - PP3 (4.3 Factoring x2+bx+c).pdf
 * 2DM4 - PP4 (4.4 Factoring ax2+bx+c).pdf
 * 2DM4 - PP5 (4.5 Factoring Difference of Squares).pdf
 * 2DM4 - PP6 (4.5 Factoring Perfect Squares).pdf
 * 2DM4 - PP7 (4.6 Reasoning About Factoring).pdf
 * 2DM4 - PP8 (4.X Connecting Factoring to Graphs).pdf
 * 2DM4 - Factoring Decision Tree.pdf ...... 2 per page, share with a friend

EXTRA PRACTICE (ALGEBRA WITH PIZZAZZ)
 * 2DM4 - AWP1 (Factor Common Factors).pdf
 * 2DM4 - AWP2 (Factor Trinomials Of The Form x2 + bx + c).pdf
 * 2DM4 - AWP3 (Factor Trinomials Of The Form ax2 + bx + c).pdf
 * 2DM4 - AWP4 (Factor Difference Of Squares).pdf
 * 2DM4 - AWP5 (Factor Perfect Squares).pdf
 * 2DM4 - AWP6 (Factor Difference of Squares or Perfect Squares).pdf
 * 2DM4 - AWP7 (Factor Polynomials Completely).pdf
 * 2DM4 - AWP8 (Factor Polynomials Completely Including Grouping).pdf

ANSWERS/SOLUTIONS/HINTS
 * 2DM4 - AWP (Answers).pdf
 * 2DM4 - TEST1 (Hints).pdf .......... covers NOTES 2-4
 * 2DM4 - TEST2 (Hints).pdf .......... covers NOTES 5-8

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UNIT 5: __QUADRATIC MODELS & EQUATIONS__
OVERALL EXPECTATIONS > By the end of this unit, students will: & ..............................................................................................................................................................
 * investigate the y = a(x – h)2 + k form of a quadratic relation
 * apply transformations to sketch graphs of quadratic relations
 * apply quadratic models to solve problems
 * investigate connections among the different forms of a quadratic relation
 * solve quadratic equations graphically, by factoring, and by using the quadratic formula
 * write a quadratic relation in vertex form by completing the square
 * solve and model problems involving quadratic relations in standard, factored, and vertex forms

UNIT OUTLINE
 * 2DM5 - Unit Outline.pdf

NOTES
 * 2DM5 - PP1 (5.0 Getting Started).pdf
 * 2DM5 - PP2 (5.4 Quadratic Models Using Vertex Form).pdf
 * 2DM5 - PP3 (6.3 Completing The Square).pdf
 * 2DM5 - PP4 (6.4 The Quadratic Formula - Part I).pdf
 * 2DM5 - PP5 (6.4 The Quadratic Formula - Part II).pdf
 * 2DM5 - PP6 (5.X Quadratic Word Problems).pdf
 * 2DM5 - PP7 (5.X Transformations of Quadratic Relations - Part I).pdf
 * 2DM5 - PP8 (5.X Transformations of Quadratic Relations - Part II).pdf

EXTRA PRACTICE (ALGEBRA WITH PIZZAZZ)
 * 2DM5 - AWP1 (Determine The # Of Solutions).pdf
 * 2DM5 - AWP2 (Solve Quadratic Equations).pdf
 * 2DM5 - AWP3 (Solve Word Problems).pdf

ANSWERS/SOLUTIONS/HINTS
 * 2DM5 - AWP (Answers).pdf
 * 2DM5 - TEST1 (Hints).pdf .......... covers NOTES 2-5
 * 2DM5 - TEST2 (Hints).pdf .......... covers NOTES 5-8

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UNIT 6: __TRIANGLES & TRIGONOMETRY__
OVERALL EXPECTATIONS > By the end of this unit, students will: & ....................................................................................................................................................................
 * determine and compare properties of congruent and similar triangles
 * solve problems using similar triangles
 * determine side lengths and angle measures in right triangles using the primary trigonometric ratios
 * solve problems using right triangle models and trigonometry
 * develop and use the sine law to determine side lengths and angle measures in acute triangles
 * develop and use the cosine law to determine side lengths and angle measures in acute triangles
 * solve problems that can be modelled using acute triangles

UNIT OUTLINE
 * 2DM6 - Unit Outline.pdf

NOTES
 * 2DM6 - PP1 (7.0 Getting Started).pdf
 * 2DM6 - PP2 (7.1 Congurence & Similarity).pdf
 * 2DM6 - PP3 (7.2 Solving Similar Triangle Problems).pdf
 * 2DM6 - PP4 (7.3 Exploring Similar Right Triangles).pdf
 * 2DM6 - PP5 (7.4 The Primary Trigonometric Ratios).pdf
 * 2DM6 - PP6 (7.6 Solving Right Triangle Problems).pdf
 * 2DM6 - PP7 (8.2 The Sine Law).pdf
 * 2DM6 - PP8 (8.4 The Cosine Law).pdf
 * 2DM6 - PP9 (8.5 Solving Acute Triangle Problems).pdf

WORKSHEETS & HANDOUTS
 * 2DM6 - HO1 (Similar & Congruent Triangles).pdf
 * 2DM6 - WS1 (Angle Relationships).pdf
 * 2DM6 - WS2 (Exploring Similar Right Triangles).pdf

EXTRA PRACTICE (ALGEBRA WITH PIZZAZZ)
 * 2DM6 - AWP1 (Trigonometric Ratios #1).pdf
 * 2DM6 - AWP2 (Trigonometric Ratios #2).pdf
 * 2DM6 - AWP3 (Solve Right Triangles #1).pdf
 * 2DM6 - AWP4 (Solve Right Triangles #2).pdf

ANSWERS/SOLUTIONS/HINTS
 * 2DM6 - AWP (Answers).pdf
 * 2DM6 - TEST1 (Hints).pdf .......... covers NOTES 2-6
 * 2DM6 - TEST2 (Hints).pdf .......... covers NOTES 7-9

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EXAM PREP
HANDOUTS
 * 2DM - Course Review.pdf
 * 2DM - Cumulative Review (Chpt 1-3).pdf
 * 2DM - Cumulative Review (Chpt 4-6).pdf
 * 2DM - Cumulative Review (Chpt 7-8).pdf
 * 2DM - Exam Review (Topics).pdf
 * 2DM - Exam Review (Questions).pdf
 * 2DM - Exam Review (Answers).pdf
 * 2DM - Exam Info & Hints.pdf .................. this is the breakdown of Mr.Young's exam

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