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MPM2D - Grade 10 Academic Math (Ontario, Canada - curriculum)
2011-2012 Course Resources

Principles of Mathematics, Grade 10, Academic MPM2D

Textbook:  Principles of Mathematics 10, Nelson, copyright © 2010

Chapter 1:  Systems of Linear Equations

1.1 Representing Linear Relations
1.2 Solving Linear Equations
1.3 Graphically Solving Linear Systems
1.4 Solving Linear Systems: Substitution
1.6 Solving Linear Systems: Elimination
1.5 Equivalent Linear Systems
1.7 Exploring Linear Systems
Review

Chapter 2:  Analytic Geometry:  Line Segments and Circles

2.1 Midpoint of a Line Segment
2.2 Length of a Line Segment
2.3 Equation of a Circle
2.4 Classifying figures on a Coordinate Grid
2.5 Verifying Properties 
2.6 Exploring Properties of Geometric Figures
2.7 Using Coordinates to Solve Problems
Review

Chapter 3:  Graphs of Quadratic Relations

3.1 Exploring Quadratic Relations
3.2 Properties of Graphs of Quadratic Relations
3.3 Factored Form of a Quadratic Relation
3.4 Expanding Quadratic Expressions
3.5 Quadratic Models Using Factored Form
3.6 Exploring Quadratic and Exponential Graphs
Review

Chapter 4:  Factoring Algebraic Expressions

4.1 Common Factors in Polynomials
4.2 Exploring the Factorization of Trinomials
4.3 Factoring Quadratics x2+bx+c
4.4 Factoring Quadratics ax2+bx+c
4.5 Factoring Quadratics:  Special Cases
4.6 Reasoning about Factoring Polynomials
Review

Chapter 5:  Applying Quadratic Models

5.1 Stretching and Reflecting Quadratic Relations
5.2 Exploring Translations of Quadratic Relations
5.3 Graphing Quadratics in Vertex Form
5.4 Quadratic Models Using Vertex Form
5.5 Solving Problems using Quadratic Relations
5.6 Connecting Standard and Vertex Forms
Review

Chapter 6: Quadratic Equations

6.1 Solving Quadratic Equations
6.2 Exploring the Creation of Perfect Squares
6.3 Completing the Square
6.4 The Quadratic Formula
6.5 Interpreting Quadratic Equation Roots
6.6 Solving Problems Using Quadratic Models
Review

Chapter 7:  Similar Triangles and Trigonometry

7.1 Congruency and Similarity in Triangles
7.2 Solving Similar Triangle Problems
7.3 Exploring Similar Right Triangles
7.4 Primary Trigonometry Ratios
>>> Determine side lengths
>>> >>> Determine angle measures
7.5 Solving Right Triangles
7.6 Solving Right Triangle Problems
Review

Chapter 8:  Acute Triangle Trigonometry

8.1 Exploring the Sine Law
8.2  Applying the Sine Law
8.3 Exploring the Cosine Law
8.4 Applying the Cosine Law
8.5 Solving Acute Triangle Problems
Review

 

MPM2D - Grade 10 Academic Math (Ontario, Canada - curriculum)

Unit R: Prerequisite Skills

Unit "R" Overview download

Unit 1: Linear Systems

Unit 1 Overview download

Prerequisite Skills:
>Simplifying Expressions, Solving for unknowns, Rational Number Operations;
>>Writing Equations of Lines;
>>>Rate of change (slope), X and Y Intercepts;
>>>>Parallel, Perpendicular, Horizontal, and Vertical Lines;
Prerequisite Skills Review work - p24-28 - solutions with explanations download

1.1 Linear Systems and 1.3 Solving Linear Systems - Graphically
>>lesson notes and homework solutions pg50 #1a, #2a, pg51 #4b, pg28 #1a, #2c, #5b, and #5c download
1.3 Solving Linear Systems - Graphically - Geosketchpad Demo pg61 #9b download
1.5 Investigating ways that two lines can intersect - lesson and homework solution for pg61 #9b download
1.5 Review download
Assignment 1.5 download
1.5 Geosketchpad Demo download

Unit 1 Assignment Overview download

1.8 Solving Linear Systems: Using Substitution - lesson download
1.8 Solving Linear Systems: Using Substitution - homework solution pg92 #7a. download

1.9 Solving Linear Systems: Algebraically Using Elimination - lesson download
1.9 Solving Linear Systems: Using Elimination - plus homework solutions pg92 #8c (solving using substitution) download
1.9 Solving Linear Systems: Using Elimination - homework solutions pg101 #1ab, 3d, 4, and 5. download

DOWNLOAD THIS WORKSHEET!! bonus 2
Chapter 1 - Applications - Worksheet download
>>linear system models for all worksheet questions download
>>>solutions for #3, #7, and #9 download

Linear System Models include:
>defining variables with let statements;
>>word problems modelled by linear equations to form a linear system that can be solved using an appropriate method of choice;
>>>methods of choice include: a) solving graphically; or b) solving algebraically using SUBSTITUTION or ELIMINATION.

Unit Review Lesson - group work solutions with corrections/feedback for 6 word problems selected from textbook
Solving linear systems using any method of choice...SUBSTITUTION or ELIMINATION.
questions on pg93 #14, pg94 #16, #18, pg103 #14, #15, and #17. download

Chapter 1 - Review - solutions for pg103 #5, pg93 #13, and pg92 #5. download
Chapter 1 - Review - geosketchpad demo 1.3 p62 q20 download
More Review work solutions - pg94 #21, pg103 #18, and pg137 #2c download

Great work with unit 1, now lets dive into some more fun!!!!!!

Unit 2: Analytic Geometry

Unit 2 - Outline download

Essential Skills for Unit 2 include:
> area of circles and composite figures, angle measures, parallel lines, and the Pythagorean Theorem;
>> homework solutions for pg142-143 #11a, #12b, and #5a. download

2.2 Geosketchpad Assignment download
2.2 Geosketchpad Assignment Demo download

2.3 Distance on the Plane – Part I - lesson notes download
>homework solutions for pg151 #3, #6, #8, and pg152 #11. download

2.4 The Equation of a Circle
>>homework solutions for pg156 #8. download

2.5 Distance on the Plane – Part II
..... and .... 2.7 Finding the Midpoint of a Line Segment - lesson notes download

2.7 Geosketchpad Demo page 174 question 13 download
2.10 Geosketchpad Assignment download

Small Group Discussion Notes
>2.8 Classifying Shapes on a Coordinate Plane
>>2.7 Finding the Midpoint of a Line Segment
>>>Triangle Properties ... Median ... Altitude ... Perpendicular Bisector
>>>>Finding the equation of a line using POINT-SLOPE form versus SLOPE-Y-INTERCEPT form
>>>>>>small group solution notes and key concepts for quiz
pg174 q13 download q13 continued download q14 download q14 continued download key notes download more key notes download

2.11 Verifying Geometric Properties
>Small Group Discussion Notes
>>Question...p.203 q4:
A triangle has vertices D(-5, 4), E(1, 8), and F(-1, -2). Show that the altitude from vertex D bisects side EF.
>>>Steps involve...
................Finding the midpoint of side EF;
...................Finding the equation of D's altitude (equation of a line ... y = mx + b );
......................then showing that the midpoint satisfies the equation;
..............if the midpoint satisfies the equation it proves that the line (D's altitude) intersects at the midpoint and therefore showing that the altitude from vertex D bisects side EF.

pg203 q4 download ... continued download ... ... more to the solution notes download

Chapter 2 Review notes - pg.208 #6 and pg.203 #7 download

Unit 3: Analyzing and Applying Quadratic Models

Unit 3 - Outline download

Read Chapter 3 pg241 to pg338.

Exponent Laws
>>pg227 Product Rule, Quotient Rule, Power Rule, Zero Exponents, and Negative Exponents
>>>>pg228 #1 - 9;
>>>>>>>>>>1.12, 1.13, 1.15 worksheet;
>>>>>>>>>>>>>>Zero and Negative Exponent.

3.7 Standard form of a Quadratic Function
>> pg298 q8a download page 1 | page 2 | page 3

3.8 Factoring Quadratic Equations

3.9 Solving Quadratic Equations

3.1 Quadratic Relations

3.2 Properties of Quadratic Functions

3.4 The Roles of the Zeros of a Quadratic Function
>solution and board notes ... page 281 q5g download
>>page 283 q12 and q13 download
>>> page 283 q14 download

3.7, 3.8, and 3.9 Applications of Quadratic Models
> pg281 q6b, q9, pg298 q8, q9, and pg308 q11 download
>> pg298 q10 and pg316 q10, q13 download
>>> page 316 q4, q8, q9 download
>>>> page 317 q12 download

Chapter 3 Applications Worksheet download

Unit 4: Graphing Quadratic Relations: Using them as Models

Unit 4 - Outline download

Read Chapter 4 pg339 to pg438.
lesson 4.6
lesson 4.2
lesson 4.3
lesson 4.7

4.6 Determining Maximum and Minimum Values Algebraically: By Completing the Square
>> lesson notes and homework solutions ... page 390 question #1g and #2d download
>>> page 390 question #4a and #4b download
>>>> page 391 question #9a download

4.2 The Vertex Form of a Quadratic Relation and The Step Pattern download
>> more lesson notes download

4.3 Transformations of Quadratic Relations - worksheet download

4.3 Transformations of Quadratic Relations - conclusions download

4.2 Vertex Form of a Quadratic Relation - solutions and discussion to homework questions download

Ch.4 Review - solution notes
> pg391 q11 download page 1 | page 2
>>> pg391 q12 download
>>>>> pg391 q13 download
>>>>>>> pg392 q16 download
> pg429 q7 download page 1 | page 2
>>> rectangle max area question download
>>>>> perimeter question download
>>>>>>> find the integers question download
> triangle question download
>>> another rectangle type question download
>>>>>4.7 worksheet q1 download page 1 | page 2 | page 3 | page 4


Exponential Functions - class notes download

Exponential Functions - Geosketchpad Demo download

Unit 5: Introduction to Trigonometry

Unit 5 - Outline download

Intro Notes and Getting Ready Practice Work download

Intro Triangle Example download

pg509 q2 solution notes download
...pg509 q6 solution notes download
......pg509 q7 solution notes download

Unit 6: Investigating Non-Right Triangles as Models for Problems

Unit 6 - Outline download

6.6 solution notes download

6.7 solutions notes download
>>> more 6.7 solution notes download

Summative Review

pg32 q6 solutions notes download
...pg35 q5 solutions notes download
... ... pg102 q6a solutions notes download q6a continued download
... ... ... pg102 q6c download q6c continued download
pg102 q10 solutions notes download
... pg155 q2 solutions notes download
... ... pg163 q7 solutions notes download q7 continued download
... ... ... pg174 q12 solutions notes download

pg182 q6 solutions notes download
...pg182 q10 solutions notes download
... ... pg203 q2 solutions notes download
pg203 q3 download
... q3 continued download
... ... q3 continued download
pg203 q5 solutions notes download
... pg203 q6 solutions notes download
... ... q6 continued download
pg203 q10 download
... pg211 q12 solutions notes download
... ... pg308 q8 solutions notes download
pg421 q6 solutions notes download
... pg427 q15be solutions notes download
... ... pg427 q17d download
... ... ... pg427 q17ef download

Course Review (Exam Prep)
Unit 1 Review Worksheet download
Unit 1 Review Worksheet Solutions download
Unit 2 Review Worksheet download
Unit 2 Review Worksheet Solutions download
Unit 5 Review Worksheet download
Overall Review Worksheet 1 download
Overall Review Worksheet 1 - sample solutions download
Overall Review Worksheet 2 download
Overall Review Worksheet 3 download
Sample Exam 1 download
Sample Exam 2 download
Sample Exam 3 download
Sample Exam Solutions download



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