# Pre-Calc and Calculus

## Calculus Unit on Limits

This unit will have students take a close look at limits.  Students will gain a better understanding of how limits work, how to algebraically simplify expressions to find the limit, how to look at a graph and know the limit and the ideas about continuous functions.

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## Exponential Functions in Precalculus

We will explore exponential functions through graphing and describe the relationship to the compound interest formula.

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## Graphing Sine and Cosine Trig Functions with and without Phase Shifts

We will graph cosine and sine functions and identify the amplitude, period, and phase shift.

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## L'Hospital's Rule

This is a lesson on L'Hospital's rule which is an AP Calculus AB/BC topic. Students will learn about indeterminate forms and how to use a derivative to determine the limit.

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## Derivatives (Chain Rule)

The unit is derivatives but the lesson that gives students the most difficulty is chain rule.  This unit is a blended unit that have students investigate more in class using the "chain rule".

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## Rationalizing the Denominator Lesson

In this lesson, students will learn how to rationalize the denominator and will be re-introduced to the idea of a conjugate and also imaginary numbers. By the end of the lesson, they should be able to rationalize a denominator even if it contains complex or imaginary numbers.

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## Natural Logs Lesson

In this lesson, students will learn about the number e as well as the 3 rules (product, quotient, power) and how to use them to condense and expand expression using natural logs.

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