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Dear LOR user,

Thank you for being a big part of this community. To better support the initiatives around open educational resources in the state of Michigan, all resources on the Michigan Virtual Learning Object Repository (LOR) are being moved to #GoOpen Michigan (link is external) on September 30th, 2018. During the transition, our LOR will be moved to an archived state, not allowing new user registration or new content to be added. An email with more details was sent to registered users of the LOR in September. To make use of the great resources on the platform, we encourage you to create an account and add your own new resources to the #GoOpen Michigan platform (link is external).

Pre-Calc and Calculus

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

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

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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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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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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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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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Students will review how to rationalize the denominator, graph polynomial functions, write exponential growth/decay functions, use rules to re-write log and natural log expressions, use synthetic or long division to divide two polynomials, and how to graph a log function.

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