Where do those asymptotes come from? Learners graph, simplify, and solve rational functions in the fifth module of a 10-part series. Beginning with graphing, pupils determine the key characteristics of the graphs including an in-depth...

Show your class that trigonometric functions have characteristics of their own. A resource explores the features of trigonometric functions. Learners then connect those concepts to inverse trigonometric functions and trigonometric...

Learn how to represent functions in multiple ways. Learners analyze functions as equations, graphs, and verbal descriptions. The analysis includes intercepts, behavior, domain, and range. The module of seven lessons makes up the third...

What if a coordinate plane becomes a slope-intercept plane? What does the graph of a linear function look like? Learners explore these questions by graphing the y-intercept of a linear equation as a function of its slope. The result is a...

Is it even ... or odd? The task provides four functions to identify as being even, odd, or neither. Pupils use algebraic methods to make their decisions with select exponential, quadratic, and cubic functions.

Analyze functions by decomposing complex functions and composing simple functions. Through a detailed lesson plan, pupils learn the vocabulary and notation related to the composition of functions. Practice includes both evaluating and...

Don't just go through the steps to solve an algebraic equation, show learners how to balance an equation with visual models. The packet introduces the idea of mobile balances to reinforce the idea that both sides must match to make the...

Use the graphs of the trigonometric functions to set the stage to inverse functions. The lesson plan reviews the graphs of the basic trigonometric functions and their transformations. Pupils use their knowledge of graphing functions to...

Use equivalent expressions to reveal information about their graphs. Pupils verify that two quadratic functions are equivalent. By comparing the two expressions, they determine the vertex, the zeros, the y-intercept, and the...

Discover relationships between linear and nonlinear functions. Initially, a set of data seems linear, but upon further exploration, pupils realize the data can model an infinite number of functions. Scholars use multiple representations...

Reverse the wrapping to get to the gift. Using the idea of unwrapping a gift, the lesson introduces the concept of inverses. Pupils first determine the order needed to evaluate a function at a point, then use the reverse to find the...

In this domain and range worksheet, students identify the domain and/or range for twenty-one free-response and multiple choice problems.  The functions include trigonometric functions.  The solutions are provided.

Practice graphing with this worksheet. High schoolers solve logarithms and graph the solution. This one-page worksheet contains eight problems, varying in complexity.

This jumbo worksheet contains everything you need to get through Pre-Algebra. Begin with simple expressions, and end with linear functions and polygons. There are multiple problems for each topic to make sure those skills are set. 

Critical thinking is an important aspect of mathematics — it's time to put your brain to work! Use this assessment to challenge pupils and test their skills. Concepts assessed include function notation, factoring, completing the square,...

What kind of functions have holes in their graphs? Here, the teacher guides the class on how to use the simplified function of a rational function to aid in the graphing of the original rational function. T-tables are used in order...

If two is company and three's a crowd, then what's e? Scholars observe how changes in the base affect the graph of a logarithmic function. They then graph the natural logarithm function and learn that all logarithmic functions can be...

Many things in life take the shape of a polynomial curve. Learners design a polynomial function to model a riverbed. Using different strategies, they find the flow rate through the river.

Sequences and series are traditionally thought of as topics for the pre-calculus or calculus class, when learners are figuring out how to develop limits. But this unit uses patterns and slopes of linear functions in unique ways...

Print and use this useful unit on basic algebraic functions, domain, range, and graphing. Tasks include, illustrating simple functions with a graph, and identifying the domain and range of the function. This twelve-page packet contains...

Your algebra learners will enjoy the real-life application of the three tasks presented here. They complete a table and a graph comparing the two options presented. One option is linear, while the other is exponential. After coming up...

Encourage class members to get creative with functions. Pairs write their names and draw pictures using a graphing application with a collaborative graphic project. The resource provides the requirements for the project, as well as a...

This complete multiple choice and short answer practice end-of-year test for algebra 1 offers a wealth of opportunities for customization. Offer it as a whole, to track progress or prepare the class for the format of the test, or...

Wrap it all up in a box. Pupils review the key concepts from an Algebra 2 polynomial functions unit by working 19 problems. Problems range from using the Remainder Theorem to find remainders and finding factors; sketching graphs by...