PreCalculus/Trigonometry- Chapter 5
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Intro to Limits- In this chapter, you will investigate rational functions and learn how to rewrite such
functions in more useful forms; solve problems involving direct and inverse variation; explore how
functions behave as x approaches a particular value or goes to infinity; learn about one-sided limits and
limits of piecewise functions, and define continuity.
Guiding Question- How can I transform a rational function? What does 1/f(x) look like?
Key IdeasDirect and Inverse Variations
Transforming Rational
Functions
Date
Book
5.1.2
5.1.3
One-Sided Limits
Continuous Function
Piecewise Functions and Limits
Learning Target
Section
5.1.1
Simplifying Algebraic Fractions
Graphing 1 /f (x)
Definition of a Limit
Home Practice


Develop a non-linear model.
Formally define and apply inverse and direct variation.

Transform functions in the form
5-22 to 5-28


of
.
Review negative exponents.
Be able to simplify complicated rational expressions.

Graph
5-34 to 5-40
5-4 to 5-12
into shifts
given the graph f(x).
5.1 Quiz
5.2.1


Develop an intuitive idea of a limit.
Interpret limit statements written with proper notation.
5-47 to 5-54
5.2.2

View limits in a different context.
5-58 to 5-66



Understand the necessary conditions for a limit to exist.
Practice finding limits.
Predict limits from tables.
5-72 to 5-79


Be introduced to a broader definition of horizontal
asymptotes.
See and use the formal definition of continuity.
5-85 to 5-93

Find limits of piecewise functions.
5.2.3
5.2.4
5.2.5
5-99 to 5-107
 Represent
geometrically.
 Explore the limits of 2 specific trig functions.
Chapter 5 Closure Assignment/Team Test/Test