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Things You Need to Know...
This Year's Classes
Calculus 12
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Projects
Ch 0: PreCalculus Review
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0.1 PreCalculus Review (part 1)
0.2 PreCalculus Review (part 2)
0.3 PreCalculus Review (part 3)
0.4 PreCalculus Review (part 4)
0.5 PreCalculus Review (part 5)
Ch 1 Limits and Rates of Change
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1.1 & 1.2 Tangent Problem / Limit of a Function
1.3 One-Sided Limits
5.1 Vertical Asymptotes
5.2 Horizontal Asymptotes
1.4 Using Limits to Find Tangents
1.5 Velocity and Other Rates of Change
1.8 Review Exercises / 1.9 Chapter Test
Ch 2 Derivatives
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2.1 Derivatives
2.2 The Power Rule
2.3 The Sum and Difference Rules
2.4 The Product Rule
2.5 The Quotient Rule
2.6 The Chain Rule
2.7 Implicit Differentiation
2.8 Higher Derivatives
2.9 Review Exercises / 2.10 Chapter Test
Ch 3 Applications of Derivatives
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3.1 Velocity
3.2 Acceleration
3.3 Rates of Change in the Natural Sciences
3.5 Related Rates
3.6 Newton's Method
BONUS: Local Linear Approximation
3.7 Review Exercises / 3.8 Chapter Test
Ch 4 Extreme Values
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4.1 Increasing and Decreasing Functions (part 1 of 2)
4.1 Increasing and Decreasing Functions (part 2 of 2)
4.2 Maximum and Minimum Values
4.3 The First Derivative Test
4.4 Applied Maximum and Minimum Problems (part 1 of 2)
4.4 Applied Maximum and Minimum Problems (part 2 of 2)
4.6 Review Exercises / 4.7 Chapter Test
Ch 5 Curve Sketching
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5.0 Review
5.3 Concavity and Points of Inflection
5.4 The Second Derivative Test
5.5 A Procedure For Curve Sketching (part 1 of 2)
5.5 A Procedure For Curve Sketching (part 2 of 2)
5.6 Slant Asymptotes
5.7 Review Exercises / 5.8 Chapter Test
Ch 6 Trigonometry Review
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6.0 Review (part 1)
6.0 Review (part 2)
6.0 Review (part 3)
Ch 7 Derivatives of Trigonometric Functions
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7.1 Limits of Trigonometric Functions
7.2 Derivatives of the Sine and Cosine Functions (part 1 of 2)
7.2 Derivatives of the Sine and Cosine Functions (part 2 of 2)
7.3 Derivatives of Other Trigonometric Functions
7.4 Applications
7.5 Inverse Trigonometric Functions (part 1 of 2)
7.5 Inverse Trigonometric Functions (part 2 of 2)
7.6 Derivatives of the Inverse Trigonometric Functions
7.7 Review Exercises / 7.8 Chapter Test
Ch 8 Exponential and Logarithmic Functions
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8.1 Exponential Functions
8.2 Derivatives of Exponential Functions
8.0 Review of Logarithms
8.3 Logarithmic Functions
8.4 Derivatives of Logarithmic Functions
8.6 Logarithmic Differentiation
BONUS: Indeterminate Forms and L'Hôpital's Rule
8.7 Review Exercises / 8.8 Chapter Test
Ch 9 Differential Equations (and Final Exam Review)
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9.1 Antiderivatives
9.2 Differential Equations with Initial Conditions
9.0(a) Cumulative Review for Chapters 1 – 3
9.0(b) Cumulative Review for Chapters 4 – 7
9.0(c) Cumulative Review for Chapters 8 – 9
PreCalculus 11
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These Could be Useful...
Review (what you should already know)
Ch1: Absolute Value & Radicals
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1.1 Absolute Value
1.2 Radical Operations (Part 1 of 2)
1.2 Radical Operations (Part 2 of 2)
1.3 Simplifying Radicals
1.4 Adding and Subtracting Radical Expressions
1.5 Multiplying and Dividing Radical Expressions (Part 1 of 2)
1.5 Multiplying and Dividing Radical Expressions (Part 2 of 2)
1.6 Radical Equations
1.7 Chapter Review
Quizzes
Ch2: Rational Expressions
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2.1 Rational Expressions
2.2 Multiplying and Dividing Rational Expressions
2.3 Sums and Differences of Rational Expressions
2.4 Mixed Operations
2.5 Rational Equations
2.6 Applications of Rational Equations
2.7 Chapter Review
Ch3: Trigonometry
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3.1 Angles and their Measure
3.2 The Three Trigonometric Functions
3.3 Special Angles
3.4 & 3.5 Oblique Triangles / Law of Sines (Part 1)
3.5 Law of Sines (Part 2)
3.6 Law of Cosines
3.7 Chapter Review
Ch4: Absolute Value & Reciprocal Functions
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**4.1 & 4.2 Factoring Review
** 4.1 & 4.2 Factoring (More Complicated Types)
4.3 Absolute Value Functions
4.4 Solving Absolute Value Equations
4.5 Rational Functions
4.6 Reciprocal Functions (Part 1 of 2)
4.6 Reciprocal Functions (Part 2 of 2)
4.7 Chapter Review
Ch5: Quadratic Functions
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5.1 Properties of Quadratic Functions
5.2 The Standard Form of a Quadratic Function
5.3 Finding the Equation of a Parabola
5.4 Standard Form to General Form
5.5 Vertex of a Parabola
5.6 Applications of Quadratic Functions
5.7 Chapter Review
Ch6: Quadratic Equations
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6.1 Solving Quadratic Equations by Factoring
6.2 Completing the Square and Square Root Property
6.3 The Quadratic Formula
6.4 The Discriminant
6.5 Applications of Quadratic Equations
6.6 Chapter Review
Ch7: Systems of Equations
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7.1 Graphing Non-Linear Systems of Equations
7.2 Solving Non-Linear Systems Algebraically
7.3 Graphing Linear Inequalities in Two Variables
7.4 Graphing Non-Linear Inequalities in Two Variables
7.5 Applications of Inequalities
7.6 Chapter Review
Ch8: Sequence and Series
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8.1 Sequences
8.2 Arithmetic Series
8.3 Geometric Sequences
8.4 Geometric Series
8.5 Infinite Geometric Series
8.6 Chapter Review
Final Exam Review
Foundations & PreCalculus 10
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Problem Sets
Review (what you should already know)
Ch 1: Measuring Systems, Surface Area, and Volume
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1.1 Metric Systems
1.2 Imperial Systems
1.3 Converting Metric and Imperial Systems
1.4 Surface Area and Volume of Prisms (part 1 of 2)
1.4 Surface Area and Volume of Prisms (part 2 of 2)
1.5 Surface Area and Volume of Pyramids
1.6 Surface Area and Volume of Cylinders, Cones, and Spheres
1.7 Chapter Review
Ch 2: Radicals
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2.1 Number Systems
2.2 Greatest Common Factor and Least Common Multiple (part 1 of 2)
2.2 Greatest Common Factor and Least Common Multiple (part 2 of 2)
2.3 Squares and Square Roots
2.4 Rational And Irrational Numbers
2.5 Simplifying Radicals
2.6 Exponential Notation (part 1 of 3)
2.6 Exponential Notation (part 2 of 3)
2.6 Exponential Notation (part 3 of 3)
2.7 Chapter Review
Ch 3: Polynomials
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3.1 Classifying Polynomials (part 1 of 2)
3.1 Classifying Polynomials (part 2 of 2)
3.2 Multiplying Polynomials
3.3 Removing Common Factors
3.4 Factoring x^2 + bx + c (part 1 of 2)
3.4 Factoring x^2 + bx + c (part 2 of 2)
3.5 Factoring ax^2 + bx + c
3.6 Special Factors
Algebra Tiles
3.7 Chapter Review
Ch 4: Relations and Functions
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4.1 Relations
4.2 Functions
4.3 Linear Equations
4.4 Non-Linear Equations
4.5 Graphing with a Calculator
4.6 Chapter Review
Ch 5: Linear Functions
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5.1 Slope
5.2 Rate of Change
5.3 Graphing Linear Functions
5.4 Parallel and Perpendicular Lines
5.5 Applications of Linear Relations
5.6 Chapter Review
Ch 6: Linear Equations
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6.1 Different Forms of Linear Equations (part 1 of 2)
6.1 Different Forms of Linear Equations (part 2 of 2)
6.2 Special Cases of Linear Equations
6.3 Equations of Parallel and Perpendicular Lines
6.4 Linear Applications and Modelling
6.5 Function Notation
6.6 Chapter Review
Ch 7: Solving Linear Systems
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7.1 Solving Linear Systems by Graphing
7.2 Solving Linear Systems by Addition
7.3 Solving Linear Systems by Substitution
7.4 Problem Solving with Two Variables
7.5 Chapter Review
Ch 8: Trigonometry
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8.1 Sine, Cosine, and Tangent for Right Triangles (part 1 of 2)
8.1 Sine, Cosine, and Tangent for Right Triangles (part 2 of 2)
8.2 Relationships Between Sine, Cosine, and Tangent
8.3 Special Angles
8.4 Applications of Trigonometry
8.5 Compound Trigonometry Applications
8.6 Chapter Review
Other Classes
Foundations 12
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Ch 1: Logical Reasoning and Set Theory
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1.1 Connecting Words "And", "Or", "Not"
1.2 Set Theory (Part 1 of 2)
1.2 Set Theory (Part 2 of 2)
1.3 Venn Diagrams - Part One
1.4 Venn Diagrams - Part Two
1.5 Conditional Statements
1.6 Chapter Review
Ch 2: Permutations and Combinations
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2.1 The Fundamental Counting Principle (part 1 of 2)
2.1 The Fundamental Counting Principle (part 2 of 2)
2.2 Factorial Notation and Permutations (part 1 of 2)
2.2 Factorial Notation and Permutations (part 2 of 2)
2.3 Permutations with Restrictions
2.4 Permutations with Repetitions
2.5 Combinations - Part 1
2.6 Combinations - Part 2
2.7 Problem Solving with Permutations and Combinations
2.8 Chapter Review
Ch 3: Probability
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3.1 Probability Terminology and Notation
3.2 Odds and Probability
3.3 Mutually Exclusive Events and the Event "A ∪ B"
3.4 Independent / Dependent Events and the Event "A ∩ B"
3.5 Solving Problems Using Tables and Diagrams
3.6 Probability Involving Permutations and Combinations
3.7 Chapter Review
Ch 4: Exponential and Logarithmic Functions
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4.1 Review and Preview (part 1 of 2)
4.1 Review and Preview (part 2 of 2)
4.2 Analyzing Exponential Functions (part 1 of 2)
4.2 Analyzing Exponential Functions (part 2 of 2)
4.3 Analyzing Logarithmic Functions (part 1 of 2)
4.3 Analyzing Logarithmic Functions (part 2 of 2)
4.4 Interpreting Graphs of Exponential and Logarithmic Functions
4.5 Modelling Data Using Exponential and Logarithmic Functions
4.6 Chapter Review
Ch 5: Polynomial and Sinusoidal Functions
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5.1 Polynomial Functions of Degree Zero, One, and Two
5.2 Polynomial Functions of Degree Three
5.3 Modelling Data Using Polynomial Functions
5.4 Angular Measure - Degrees and Radians (part 1 of 2)
5.4 Angular Measure - Degrees and Radians (part 2 of 2)
5.5 Amplitude and Period
5.6 Horizontal & Vertical Shifts
5.7 Modelling Data Using Sinusoidal Functions
5.8 Chapter Review
Ch 6: Financial Mathematics
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6.1 Simple Interest andCompound Interest
6.2 Investments Using Compound Interest
6.3 Basic Loans Using Compound Interest (part 1 of 2)
6.3 Basic Loans Using Compound Interest (part 2 of 2)
6.4 Mortgages
6.5 Buying, Renting, and Leasing
6.6 Investment Portfolios
6.7 Chapter Review
PreCalculus 12
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Term Project Options
Review of Grade 11
Ch1: Transformations (First Half)
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1.1 Functions and Relations (review)
1.2 Combinations of Functions
1.3 Composite Functions
1.5 Inverse Functions (Part 1 of 2)
1.5 Inverse Functions (Part 2 of 2)
1.7 Chapter Review
Ch1: Transformations (Second Half)
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1.4 Transformations of Graphs (Part 1 of 2)
1.4 Transformations of Graphs (Part 2 of 2)
1.6 Combined Transformations
1.7 Chapter Review
Ch2: Polynomials
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2.1 Polynomials
2.2 Graphing Polynomial Functions
2.3 Division of Polynomials
2.4 The Remainder and Factor Theorems
2.5 Polynomial Applications
2.6 Chapter Review
Ch3: Radicals & Rational Functions
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3.1 Radicals
3.2 Graphing and Solving Radical Equations
3.3 Rational Functions
3.4 Graphing Rational Functions
3.5 Chapter Review
Ch4: Logarithms
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4.1 Exponents
4.2 Logarithmic Functions and their Graphs (Part 1 of 2)
4.2 Logarithmic Functions and their Graphs (Part 2 of 2)
4.3 Properties of Logarithms
4.4 Exponential and Logarithmic Equations
4.5 Applications of Exponential and Logarithmic Functions
4.6 Chapter Review
Ch5: Trigonometry (Pt. 1)
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5.1 Trigonometric Functions
5.2 Trigonometric Function of Acute Angles
5.3 Trigonometric Function - General & Special Angles
5.4 Graphing Basic Trigonometric Functions (part 1 of 3)
5.4 Graphing Basic Trigonometric Functions (part 2 of 3)
5.4 Graphing Basic Trigonometric Functions (part 3 of 3)
5.5 Application of Periodic Functions
5.6 Chapter Review
Ch6: Trigonometry (Pt. 2)
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6.1 Trigonometric Identities and Equations
6.2 Verifying Trigonometric Identities
6.3 Trigonometric Equations (part 1 of 2)
6.3 Trigonometric Equations (part 2 of 2)
6.4 Sum and Difference Identities (part 1 of 2)
6.4 Sum and Difference Identities (part 2 of 2)
6.5 Double Angle Identities
6.6 Chapter Review
Ch7: Combinatorics
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7.1 Fundamental Counting Principle (part 1 of 2)
7.1 Fundamental Counting Principle (part 2 of 2)
7.2 Permutations
7.3 Combinations
7.4 Binomial Theorem
7.5 Pathway Problems
7.6 Chapter Review
Final Exam
Foundations 11
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Ch 1: Rates and Scale Factor
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1.1 Ratios and Rates
1.2 Visualizing Rates
1.3 Similar Figures
1.4 Perimeter, Area and Surface Area of Similar Figures
1.5 Volume of Similar Figures
1.6 Chapter Review
Ch 2: Geometry
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2.1 Geometry
2.2 Proofs
2.3 Polygons
2.4 Compass and Straightedge Construction
2.5 Chapter Review
Ch 3: Non-Right Angle Triangles
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3.1 Review of Sine, Cosine and Tangent for Right Triangles
3.2 Law of Sines (Part 1 of 2)
3.2 Law of Sines (Part 2 of 2)
3.3 Law of Cosines
3.4 Applied Problems
3.5 Chapter Review
Ch 4: Analyze Puzzles and Games
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4.1 Patterns
4.2 Inductive Reasoning
4.3 Deductive Reasoning
4.4 Puzzles and Games of Strategy
4.5 Chapter Review
Ch 5: Statistics
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5.1 Mean, Median and Mode
5.2 Standard Deviation
5.3 The Normal Distribution (Part 1 of 2)
5.3 The Normal Distribution (Part 2 of 2)
5.4 Confidence Interval for Means
5.5 Chapter Review
Ch 6: Linear Systems
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6.1 Review: Graphing a Linear Equation (Part 1 of 2)
6.1 Review: Graphing a Linear Equation (Part 2 of 2)
6.2 Linear Inequalities
6.3 Linear Programming
6.4 Application of Linear Programming
6.5 Chapter Review
Ch 7: Quadratic Functions
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7.1 Quadratic Functions (Part 1 of 3)
7.1 Quadratic Functions (Part 2 of 3)
7.1 Quadratic Functions (Part 3 of 3)
7.2 General Form of a Quadratic Function
7.5 Application of Quadratic Functions & Equations (part 1 of 2)
7.3 Quadratic Equations
7.4 Solving Quadratic Equations (part 1 of 2)
7.4 Solving Quadratic Equations (part 2 of 2)
7.5 Application of Quadratic Functions & Equations (part 2 of 2)
7.6 Chapter Review
Ch8: Math Research Project
Workplace 11
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Ch 1: Interest - Investing Money
Ch 2: Working with Graphs
Ch 8 Managing Money
Math 9
Math 8
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Ch 1: Square Roots and the Pythagorean Theorem
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Practice
Handouts
Ch 2: Integers
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Practice
Handouts
Ch 3: Operations with Fractions
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Practice
Handouts
Ch 5: Percent, Ratio, and Rate
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Handouts
Ch 6: Linear Equations and Graphing
Ch 8: Geometry
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Foundations of Mathematics 11
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Course Outline
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