1.1: Power Functions
1.2: Characteristics of Polynomial Functions
1.3: Equations and Graphs of Polynomial Functions
1.4: Transformations
1.5: Slopes of Secants and Average Rate of Change
1.6: Slopes of Tangents and Instantaneous Rate of Change
2.1: The Remainder Theorem
2.2: The Factor Theorem
2.3: Polynomial Equations
2.4: Families of Polynomial Functions
2.5: Solve Inequalities Using Technology
2.6: Solve Factorable Polynomial Inequalities Algebraically
3.1: Reciprocal of a Linear Function
Extension: Asymptotes and the TI-83 Plus
or TI-84 Plus Graphing Calculator
3.2: Reciprocal of a Quadratic Function
3.3: Rational Functions
3.4: Solve Rational Equations and Inequalities
3.5: Making Connections With Rational Functions and Equations
4.1: Radian Measure
4.2: Trigonometric Ratios and Special Angles
4.3: Equivalent Trigonometric Expressions
4.4: Compound Angle Formulas
4.5: Prove Trigonometric Identities
5.1: Graphs of Sine, Cosine, and Tangent Functions
5.2: Graphs of Reciprocal Trigonometric Functions
5.3: Sinusoidal Functions of the Form
f(x) = a sin [k(x - d)] + c and
f(x) = a cos [k(x - d)] + c 270
Extension: Use a Graphing Calculator to Fit a Sinusoidal Regression to Given Data
5.4: Solve Trigonometric Equations
5.5: Making Connections and Instantaneous Rate of Change
6.1: The Exponential Function and Its Inverse
6.2: Logarithms
6.3: Transformations of Logarithmic Functions
6.4: Power Law of Logarithms
6.5: Making Connections: Logarithmic Scales in the Physical Sciences
7.1: Equivalent Forms of Exponential Equations
7.2: Techniques for Solving Exponential Equations
7.3: Product and Quotient Laws of Logarithms
7.4: Techniques for Solving Logarithmic Equations
7.5: Making Connections: Mathematical Modelling With Exponential and Logarithmic Equations
8.1: Sums and Differences of Functions
8.2: Products and Quotients of Functions
8.3: Composite Functions
8.4: Inequalities of Combined Functions
8.5: Making Connections: Modelling With Combined Functions
We are group of math nerds mainly focused on Ontario Curriculum.
1.1: Functions
1.2: Exploring Absolute Value
1.3: Properties of Graphs of Functions
1.4: Sketching Graphs of Functions
1.5: Inverse Relations
1.6: Piecewise Functions
1.7: Exploring Operations with Functions
2.1: Determining Average Rate of Change
2.2: Estimating Instantaneous Rates of Change form Tables of Values and Equations
2.3: Exploring Instantaneous Rates of Change Using Graph
2.4: Using Rates of Change to Create a Graphical Model
2.5: Solving Problems Involving Rates of Change
3.1: Exploring Polynomial Functions
3.2: Characteristics of Polynomial Functions
3.3: Characteristics of Polynomial Functions in Factored Form
3.4: Transformations of Cubic and Quartic Functions
3.5: Dividing Polynomials
3.6: Factoring Polynomials
3.7: Factoring a Sum or Difference of Cubes
4.1: Solving Polynomial Equations
4.2: Solving Linear Inequalities
4.3: Solving Polynomial Inequalities
4.4: Rates of Change in Polynomial Functions
5.1: Graphs of Reciprocal Functions
5.2: Exploring Quotients of Polynomial Functions
5.3: Graphs of Rational Functions of the Form Form f (x) = ax + b / cx + d
6.1: Radian Measure
6.2: Radian Measure and Angles on the Cartesian Plane
6.3: Exploring Graphs of the Primary Trigonometric Functions
6.4: Transformation of Trigonometric Functions
6.5: Exploring Graphs of the Reciprocal Trigonometric Functions
6.6: Modelling with Trigonometric Functions
6.7: Rates of Change in Trigonometric Functions
7.1: Exploring Equivalent Trigonometric Functions
7.2: Compound Angle Formulas
7.3: Double Angle Formulas
7.4: Proving Trigonometric Identities
7.5: Solving Linear Trigonometric Equations
7.6: Solving Quadratic Trigonometric Equations
8.1: Exploring the Logarithmic Functions
8.2: Transformations of Logarithmic Functions
8.3: Evaluating Logarithms
8.4: Laws of Logarithms
8.5: Solving Exponential Equations
8.6: Solving Logarithmic Equations
8.7: Solving Problems with Exponential and Logarithmic Functions
8.8: Rates of Change in Exponential and Logarithmic Functions
9.1: Exploring Combinations of Functions
9.2: Combining Two Functions: Sums and Differences
9.3: Combining Two Functions: Products
9.4: Exploring Quotients of Functions
9.5: Composition of Functions
9.6: Techniques for Solving Equations and Inequalities
9.7: Modelling with Functions
Mathematical Processes