Lesson Plan

#### Description:

This lesson has students compare and contrast differences between rational functions to understand vertical asymptotes, horizontal asymptotes, and removable and non removable discontinuities.

#### Subjects:

• Mathematics > General
• Mathematics > Calculus
• Mathematics > Equations
• Mathematics > Graphing

#### Keywords:

rational numbers rational number pre-calculus precalculus arithmetic algebra

English

#### Access Privileges:

Public - Available to anyone

#### Collections:

Pre-Calculus
Update Standards?

#### CCSS.Math.Content.8.F.A.1: Common Core State Standards for Mathematics

Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.

#### CCSS.Math.Content.8.F.B.5: Common Core State Standards for Mathematics

Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally.

#### CCSS.Math.Content.HSA-APR.B.3: Common Core State Standards for Mathematics

Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial.

#### CCSS.Math.Content.HSF-IF.B.4: Common Core State Standards for Mathematics

For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship.?

#### CCSS.Math.Content.HSF-IF.C.7a: Common Core State Standards for Mathematics

Graph linear and quadratic functions and show intercepts, maxima, and minima.

#### CCSS.Math.Content.HSF-IF.C.7c: Common Core State Standards for Mathematics

Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.

#### CCSS.Math.Content.HSF-IF.C.7e: Common Core State Standards for Mathematics

Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.

#### CCSS.Math.Content.HSF-IF.C.9: Common Core State Standards for Mathematics

Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).
Curriki Rating
On a scale of 0 to 3
3
On a scale of 0 to 3

This resource was reviewed using the Curriki Review rubric and received an overall Curriki Review System rating of 3, as of 2009-07-03.

#### Component Ratings:

Technical Completeness: 3
Content Accuracy: 3
Appropriate Pedagogy: 3