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Grade 9 Principles of Mathematics Academic Math

MPM1D - Grade 9 Academic Math (Ontario, Canada - curriculum)

Chapter 1: Rational Numbers

1.1 Addition and Subtraction of Mixed Numbers
1.2 Multiplication and Division of Mixed Numbers
1.3 Integer Operations with Powers

Chapter 1 - Mid Chapter Review
> page 40 question 4 solution notes ... download

1.4 Rational Numbers
> page 45 question 2b ... solution key download
>> page 47 question 9a ... solution key download

1.5 Rational Number Operations
> page 53 question 2a ... solution key download
>> page 53 question 5b ... solution key download
>>> page 56 question 22a ... solution key download
>>>> page 56 question 22b ... solution key download

1.6 Powers of Rational Numbers

Chapter 1 Review
> page 67 question 22 solution notes ... download
>> page 67 question 25 solution notes ... download

Chapter 2: Powers and Polynomials

2.1 Representing Powers Up to Degree 3
2.2 Multiplying and Dividing Powers
2.3 Power of a Power
2.4 Adding and Subtracting Polynomials
2.5 Multiplying a Polynomial by a Monomial
2.6 Simplifying Polynomial Expressions

Chapter 3: Linear Relations

3.1 Relations
3.2 Exploring Linear Relations
3.3 Investigating Properties of Linear Relations
3.4 Equivalent Linear Relations
3.5 Linear and Nonlinear Relations

Chapter 4: Linear Equations

4.1 Interpreting the Solution of a Linear Equation
4.2 Solving Linear Equations Using Inverse Operations
4.3 Equation-Solving Strategies
4.4 Solving for a Variable in a Linear Relation
4.5 Solving a Linear System Graphically

Question 13:
The total of 3 cousins ages is 48.
Suresh is half as old as Hakima and 4 years older than Saad.
How old are the cousins?
solution key download

Chapter 5: Analytic Geometry

5.1 Exploring the Equation of a Line
5.2 Different Forms of the Equation of a Line

5.3 Slope of a Line
page 279 question 15a ... solution key download
page 279 question 15b ... solution key download

MID CHAPTER REVIEW
page 284 question 8ab ... solution key download

5.4 Using Points to Determine the Equation of a Line
page 292 question 7b ... solution key download
page 292 question 8a ... solution key download
page 292 question 8b ... solution key download
page 292 question 10 ... solution key download
page 292 question 11 ... solution key download
page 293 question 13 ... solution key download

5.5 Parallel and Perpendicular Lines

Chapter 6: Investigating Relationships

6.1 Interpreting Data
6.2 Lines of Best Fit
6.3 Curves of Best Fit
6.4 Reasoning About Data
6.5 Describing Situations From Graphs

Chapter 6 Test Answer Key download

Chapter 7: Properties of 2-D Figures

7.1 Exploring Interior Angles of Polygons
7.2 Angle Properties of Polygons
7.3 Exploring Quadrilateral Diagonal Properties
7.4 Reasoning About Triangle and Quadrilateral Properties
7.5 Reasoning About Properties of Polygons

Chapter 8: Measurement

Getting Started
page 424 question 1 ... 3 dimensional solids ... solution key download
page 424 question 4abc ... The Pythagorean Theorem ... solution key download
page 426 ... question 6c ... solution download

8.1 Determining Optimum Area and Perimeter
page 432 ... question 3 ... solution download
page 432 ... question 4 ... solution download
page 433 ... question 11 ... solution download

8.2 Problems Involving Composite Shapes
page 440 ... question 3b... solution download

8.3 The Pythagorean Theorem
page 446 question 3a ... Find the missing length in the given triangle... solution key with explanation download

8.4 Surface Area of Right Pyramids and Cones
page 455 question 7a ... Calculate the surface area of the triangle based pyramid ... solution notes download

EQAO Review

EQAO Chapter 2 Package download

EQAO Chapter 3 Package download
...question 4 and 5 - solution download
...question 6 - solution download

EQAO Chapter 5 Package download

EQAO Chapter 6 Package download
...question 5 - solution download
...question 6 - solution download

EQAO Chapter 7 Package
solution notes...
...question 9 download
...question 15 download
...question 16 download
...question 18 download
...question 21 download
...question 26 download
...question 33 download

Eqao Chapter 8 Package
solution notes...
>> questions 1, 2, and 3 download
>> question 3 download
>> question 4 download
>> question 5 download
>> question 7-1 download
>> question 7-2 download
>> question 8 download
>> question 10-1 download
>> question 10-2 download
>> question 10-3 download
>> question 15 download
>> question 16 page 1 download
>> question 16 page 2 download
>> question 20-1 download
>> question 20-2 download
>> question 25-1 download
>> question 25-2 download
>> question 26-1 download
>> question 26-2 download
>> question 26-3 download
>> question 28-1 download

2012 sample booklet
>> question 2 download
>> question 6 download
>> question 21 download
>> question 24 download
>> question 30 download
>> question 31 download

Winter 2007 sample booklet
>> question 3, 10, and 15 download
>> question 1, 5, 14, 17, 19, 20, and 22 download
>> question 2 download
>> question 9 download

EXAM REVIEW

Study Plan Chart download
What does it mean to study? notes download

Slope Exam Review Worksheets
question 16b) Determine the equation of the line that is perpendicular to another line and passing through the point (5, 6).
>>> solution notes with explanations page 1 | page 2

MPM1D - Grade 9 Academic Math (Ontario, Canada - curriculum)

Unit R: Prerequisite Skills

Unit "R" Overview download

Unit 1: Rational Numbers and Exponents

Unit 1 Overview download
>>Rational Numbers - section 3.2 pg183
>>Rational Number Operations - section 3.4 pg190
>>Exponent Laws - section 3.11 pg227
>>Common Bases - section 3.11 pg227

USEFUL HANDOUTS AND SOLUTIONS WITH EXPLANATIONS!!!!
3.2 Rational Numbers download
3.2 Geosketchpad demo download
3.2 Geosketchpad Assignment download
3.4 Rational Number Operations download
3.11 Exponent Laws and Rational Number Operations homework solutions download

Unit 1 quiz - solutions for #3, 9, 10, 16, 18, and 19. download

Exponent Laws - Working with Exponents Worksheet 1.12 solutions for #4g, 5ac, 6f, 7bcdh, and 8abcdef. download
3.11 Exponent Laws - Applications download

Unit 1 Assignment 1 - Rational Number Operations and Working with Decimals
pg181 #1, #9, and pg13 #1 to 6 - assignment details, evaluation breakdown, and sample solutions download

Review work - solutions - Rational Number Operations pg236 #3d, and Solving Exponents using common bases pg246 #21a download

More Review work - solutions - pg236 #3b, and #3e download

Unit 1 test - solutions for question #12 download

Unit 2: Extending Algebraic Skills
Unit 2 Overview download
Essential Skills - practice work - pg253 #1 to 8.
4.1 Adding and Subtracting Polynomials pg254
4.2 Distributive Property pg260
4.2 and 4.4 Dividing Polynomials pg269

Essential Skills - practice work - solutions - pg253 #4a, #5c, #5g, and #7a. download

4.1 Adding and Subtracting Polynomials - simplifying, collecting, and checking
>lesson notes - like terms versus unlike terms
>>plus homework solutions with explanations for pg253 #6a, 6d, and 7c download

4.1 Adding and Subtracting Polynomials - day 2 lesson notes
>>plus homework solutions for pg257 #4k, #4i, #6b, and #6e. download
>>more homework solutions for pg258 #7f, #8b, and #8e. download

4.2 The Distributive Property - expanding and simplifying
>lesson notes plus homework solutions for pg263 #3e, #6g, and #11a download
>>more homework solutions for "Collecting Like Terms" worksheet, question #37 - trinomialdownload

4.4 Extending Algebraic Skills with Polynomials - multiplying (expanding), dividing (factoring), and simplifying
>lesson notes - a monomial times a binomial - plus homework solutions for worksheet pg314 #56, #60, #62, pg322 #25, #30, and #38. download
>>The Train Code worksheet, Dividing Polynomials questions #1 and #2, plus definitions - monomial, binomial. download
>>>more lesson notes - a monomial divided by a monomial
..................................... a binomial divided by a monomial
........................................... a trinomial divided by a monomial download
>>>>homework solutions pg271 #1a, #1b, #9a, #10d, #10f, #10g, and #10j. download

Review notes - multiplying, dividing, and simplifying polynomials
>>homework solutions pg271 #4e, pg272 #8d, #8h, review worksheet #28, #29,
and "dividing polynomials" worksheet bottom question. download

Unit 3: Modelling using Linear Equations
Unit 3 Overview download
Essential Skills - practice work - pg281 #1 to 4, 7.
5.3 Finding Values that Satisfy a Linear Relation p.290
5.7 Solving Polynomial Equations p.310

5.3 Finding Values that Satisfy a Linear Relation
5.7 Solving Polynomial Equations
>>>homework solutions for pg295 #7 and pg314 #5e download

Unit 3 chapter 5 review notes download

Unit 4: Trends in Data
Unit 4 Overview download

1.8 Drawing and Interpreting Scatter Plots - lesson notes
DAY 1 notes download
DAY 2 notes download

Unit 5: Analyzing and Applying Linear Models

Unit 5 Overview download

2.2 TABLES OF VALUES, PATTERNS AND GRAPHS

2.6 Graphing in Four Quadrants
>>>LESSON examples and notes download
>>>>>Spreadsheet example download

2.4 Connecting Equations and Graphs
>>>Homework Review plus LESSON examples and notes download

2.3 Graphing an Equation
>>>Homework Review plus LESSON examples and notes download

2.7 The Role of "m" and "b" in " y = mx + b "... the general equation of a line ... in SLOPE Y-intercept form ...
>>>LESSON examples and notes download

2.8 The Roles of Slope and Intercepts
>> Slope is "m" in the equation y = mx + b, it is the coefficient of the variable term
>>> "m" is the rate of change or the rate triangle
>>>> it describes the movement of the line
for example, m = 5 translates to a movement of up 5 and 1 to the right
>> the Y-intercept is "b" in the equation y = mx + b, it is the constant term, the constant value in the equation
>>>LESSON examples and notes - worksheet DD61 and worksheet E download

2.9 Finding the Equation of a Given Line download

>>> select solutions download

>>>>> select solutions download

2.10 Slopes and Equations of Lines - Special Cases download

2.10 Special Cases - Case 3 and Case 4 download

2.11 Conditions for Linear Relationships

2.15 Solving Linear Systems Graphically - Point of Intersection

Unit 5 review - pg177 q2 solution notes download

Unit 6: Modelling using Models of Movement and Equations

Unit 6 Overview download

5.8 Standard Form of a Linear Equation - p319 q5 to 12
>>Look Ahead and Make Notes lesson 5.9 and 3.6
2.15 and 5.8/5.9 - Point of Intersection download

5.8 Standard Form Of A Linear Equation
... pg319 q3a and q6a solution notes download

5.9 Problem Solving and Linear Equations - Solving Linear Systems Graphically
... pg326 q5 solution notes download
... ... pg326 q6 solution notes download
... ... ... pg327 q11 solution notes download

unit review pg337 q3a solutions download

Unit 7: Exploring Properties of 2-D Figures

Unit 7 Overview download

6.2 Angles Associated with Triangles
... pg366 q6d solutions download

unit 7 review work
... Solving for missing angles in parallel lines and polygons;
... ... using algebraic models;
... solving for one variable in degree 1 equations.
pg389 q3 download ... pg389 q4 download
pg390 q6a download ... pg390 q6b download
pg390 q7 download
pg398 q15a download ... pg398 q15b download

Unit 8: Measurement Relationships in 3-D Figures

Unit 8 Overview download

7.1 Area of Composite Figures and Regular Polygons
select solutions download

7.2 Volume of Regular Polygonal Prisms and Cylinders
select solutions download

7.4 Volume of Pyramids and Cones
select solutions download

7.5 Volume of Spheres, Cubes, Cones, Empty Space and Irregular Solids
select solutions download

7.6 Surface Area of a Pentagonal Prism
solutions notes - q11a download

7.7 Surface Area and Volume of Pyramids and Cones
solutions notes - q4a download - q4c download - q5 download - q8 download - q11a download

7.8 Surface Area of Spheres
solutions notes - q6 download - q9a download

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