Grow—not decay—your knowledge of exponential functions. Young mathematicians graph exponential functions and explore how transformations affect the graphs. They decide whether the functions represent growth or decay in the context of...

Scholars manipulate the amplitude of the graphs of sine and cosine, notice how the change in amplitude is reflected in their graphs, and answer several questions about the concept they noticed.

Determine critical points in the flight of a soccer ball. Pupils use an interactive resource to find the vertex and x-intercepts of the graph of the trajectory of a soccer ball after being kicked. Scholars investigate the trajectory...

The form of a quadratic function paints a picture of its graph. Young mathematicians explore this connection by locating key features on a graph and then writing the corresponding equations. The interactive tutorial highlights key...

Learn how to slide sine back and forth and up and down. Pupils move the starting point of a graph of sine vertically and horizontally. They investigate the changes to the equation of the graph in relationship to the translation. They...

Graphs are useful for many things, including seeing how much money you can make. Individuals create a graph of earnings from a job based on the number of hours. They determine the domain and range of the graph and answer challenge...

One-to-one means the answer is simple, right? Given four graphs, pupils use a vertical line to test each graph to find out if they are one-to-one. By using the resource, learners realize that not all one-to-one relations are functions....

Provide a sketch of the suspect. Scholars see how to use the key aspects they know about polynomials to create a sketch of the graph. Learners factor to calculate the zeros by factoring, find the end behavior, and determine the...

Bridge the gap between graphical and algebraic representations. Learners complete six lessons that begin by pointing out connections between the key features of a polynomial graph and its algebraic function. Later, pupils use the...

What do clocks and Ferris wheels have in common? Your class can model their heights using trigonometric functions! Scholars first use the Internet to find data on provided landmarks (famous clocks and Ferris wheels). Plotting this data...

Create a shift in TV viewing habits. The interactive presents a cosine model of an individual's TV viewing habits during a year. Class members move the model to reflect given conditions. Finally, they determine key features from the...

You're cleared to learn about absolute value functions. An interesting lesson has scholars investigate transformations of the graphs of absolute value functions. They look at air traffic control as an application of the concept.

Build up a polynomial. Learners use printed cards to create polynomials. Using a graphing utility, pupils make comparisons between the polynomials they built. To further cement the concept, they build upon their algebraic vocabulary as...

Connect end behavior to previous learning. Pupils connect finding the end behavior of rational functions to finding end behavior of polynomial functions. The 13th segment in a 23-part unit starts with finding the end behavior or power...

Investigate the definition of inverse functions graphically. Using the interactive, scholars create a graph of a function and view its resulting inverse. They then determine whether a group of functions have inverses that are also...

Functions are special types of relations, but what makes them so special? Pupils use an interactive to slide a vertical line across six different graphs. Ten challenge questions then assess understanding of functions.

Now you can introduce rational functions using ... spaghetti. Scholars begin to learn about rational functions. After collecting data using an experiment on the amount of mass that different lengths of spaghetti can support, they write...

Undo the functions. Learners refresh their knowledge of inverses of functions from Algebra II in the 19th section of a 23-part Precalculus unit. Pupils look at inverses in tables and graphs. They then add to their understanding of...

Pupils research the five most fuel efficient vehicles of the same type and come up with a way to display the mile per gallon for each vehicle. After choosing a vehicle, scholars create graphs to display miles traveled given the amount of...

Students examine functions and function notation. They use computer activities to discover how to graph functions, and conduct a vertical line test. Students describe spatial relationships using coordinate geometry.

In this functions and graphs activity, students determine the domain and range of a given relation.  They graph functions on a coordinate plane and write equations in the slope-intercept form.  This twelve page activity...

In this inverse functions worksheet, students review inverse functions. They solve 66 questions. Problems cover a wide variety of types. Students graph functions and their inverses, they identify one-to-one functions and the domains and...

In this modeling data worksheet, students use quadratic functions to model data using three different methods.  This worksheet provides explanations and an example.  Additionally, students are given the steps to find the...

Students investigate linear functions. In this mathematics lesson, students plot points onto a graph by solving the equations y=x and y=mx+b by being given numbers for x and solving for y.