Illustrative Mathematics
Pizza Place Promotion
The longer you wait to try the new pizza place, the more it's going to cost you! This real-world problem about how the cost of pizza varies with respect to time is a good example of how piecewise functions are used to describe...
Curated OER
Power Function Inverses
Pupils graph polynomial functions and analyze the graphs. They identify the inverse of the functions and find the domain and range. Learners will then label the functions as one to one and use the horizontal and vertical line test to...
Curated OER
Application of Function Composition
Young mathematicians solve composition of functions. They add, subtract, multiply and divide functions and then identify the domain and range of each function. An embedded animation shows three different applications of function...
Curated OER
Domain and Range 2
How do you identify the domain and range of the function? As learners find out it's as easy as creating a graph. They'll identify the domain and range of a relation from its graph, write symbolic expressions describing the relationship...
Curated OER
Characteristics of Exponential Functions
What can an upper grader do with an exponential function? They can solve and graph it, identify its important characteristic, and differentiate graphs based on shifts in graph bases that are greater or less than one. This 45 minute...
Curated OER
Exploring Vertical Asymptotes
Scholars identify the domain of a rational function in this precalculus lesson. They identify the removable discontinuity and label what will make the denominator zero. Learners also describe properties of the graph as it relates to the...
Curated OER
Cell Phone Range
Here is a 15 minute activity that can be used as review, a warm, or as a quick example of how to relate functions to the real world. Learners complete an application activity and draw conclusion about functions then discuss open and...
Curated OER
Graphic Designing with Transformed Functions
Teach your class how to transform a graph! By identifying the domain and range of the functions, learners can observe the parabola and find the vertex of the transformed graph.
Curated OER
Exploring Power Functions 2
Young mathematicians learn to write algebraic equations. They solve and graph different polynomial functions with different powers. They then graph radicals and identify the domain and range.
Curated OER
Comparing Linear and Exponential Functions
Teach your class how to differentiate between linear and exponential functions. They use exponential properties to solve problems, graph them using the TI-Navigator, and make comparisons.
Curated OER
Graph Logarithms
Mathematicians graph logarithmic equations. Teach your students how to identify the intercepts of logarithmic equations and tell whether the function is increasing or decreasing. They find the domain and range of each function.
Curated OER
Domain and Range
Your class will grasp the concept of domain-and range on a graph by using their TI navigator to graph their lines. They observe the effect of a function and non-functions based on the domain and range.
Curated OER
Domain and Range of Exponential Functions
Have your class find the domain and range for each function. Students graph equations using the TI. They find all the x and y values as they relate to the domain and range.
Curated OER
Exponential Functions f(x) = abx
Students define exponential functions and graph the equation. In this algebra lesson plan, students discuss exponential growth and decay as they graph their functions. They differentiate between the base of growth and decay.
Curated OER
Dog Days or Dog Years?
In need of some algebraic fun with real world implications?Learners use ordered pairs, a table of values and a scatter plot to evaluate the validity of several real world data sets. The class focuses on dog ages in human years, domain,...
Curated OER
Volumes of Rectangular Prisms
High schoolers determine the volume of a rectangular prism. They then maximize and minimize the volume given variable side lengths. Finally, they factor the volume equation to determine the side lengths.
Curated OER
Domian and Range of Graphs
High schoolers determine the domain and range of various graphs using a graphing calculator. Given a set of graphs to analyze, learners calculate the range and domain of the graphs by plotting the graphs on their calculators. Downloads...
Alabama Learning Exchange
The Composition of Seawater
Students explore the concept of finding the composition of seawater. In this finding the composition of seawater instructional activity, students make a saturated salt water solution. Students discuss why there is variation in ocean...
Wolfram Research
Wolfram Math World: Rational Function
This site provides formulas and definitions as well as related links to rational functions.
Texas Education Agency
Texas Gateway: Functions and Their Inverses
Given a functional relationship in a variety of representations (table, graph, mapping diagram, equation, or verbal form), the student will determine the inverse of the function.
Texas A&M University
Wtamu Virtual Math Lab: College Algebra: Domain, Range, Vertical Line Test
A detailed tutorial on functions covering the following topics: finding the domain and range of a function, using the vertical line test, determining whether a function is even, odd, or neither, and applying the greatest integer function...
Texas Education Agency
Texas Gateway: Domain and Range: Graphs
Given a function in graph form, identify the domain and range using set notation, interval notation, or a verbal description as appropriate.
Paul Dawkins
Paul's Online Notes: Algebra: The Definition of a Function
Detailed math tutorial features definitions and examples that take a look at relations and functions, function notation, the domain and range of a function, and piecewise functions.
CK-12 Foundation
Ck 12: Interactive Algebra 1 for Ccss
This is a complete, full-year Algebra 1 course with interactivity included in every lesson. Some lessons include videos, and all include interactives and inline questions that offer instant, per-answer feedback. Every lesson also has...