Calculus Curriculum

Below are the skills needed, with links to resources to help with that skill. We also enourage plenty of exercises and book work. Curriculum Home

Important: this is a guide only.
Check with your local education authority to find out their requirements.

Calculus | Functions
☐ Introduction to continuity
Intermediate Value Theorem
How Polynomials Behave
☐ Intermediate Value Theorem and Extreme Value Theorem
Intermediate Value Theorem
☐ Understand how the behavior of the graphs of polynomials can be predicted from the equation, including: continuity, whether the leading term has an even or odd exponent, the size of the factor of the leading term, the number of turning points, and end behavior.
Polynomials: Bounds on Zeros
How Polynomials Behave
Polynomials: The Rule of Signs
☐ Understand what is meant by saying that a function is increasing, strictly increasing, decreasing or strictly decreasing.
Increasing and Decreasing Functions
☐ Understand what is meant by the following terms for a function: Local Maximum, Local Minimum, Global Maximum and Global Minimum.
Maxima and Minima of Functions
Graph of an Equation
Activity: Soup Can
Calculus | Derivatives
☐ Introduction to derivatives
Derivatives as dy/dx
Introduction to Derivatives
☐ From average rate of change to instantaneous rate of change
Derivatives as dy/dx
☐ Derivatives and continuity
Increasing and Decreasing Functions
Maxima and Minima of Functions
Intermediate Value Theorem
How Polynomials Behave
☐ Approximating rate of change (graphs and tables)
Function Grapher and Calculator
Calculus | Limits
☐ Introduction to limits
Limits (An Introduction)
☐ Calculating limits
Limits - Evaluating
Limits to Infinity
Introduction to Derivatives
☐ Formal definition of limits
Limits (Formal Definition)
Introduction to Derivatives
☐ Estimating limits (graphs and tables)
Function Grapher and Calculator
☐ Continuity and Limits
How Polynomials Behave
What is Infinity?
Limits (An Introduction)
Limits to Infinity

 

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