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...

Graphing all kinds of situations in one and two variables is the focus of this detailed unit of daily lessons, teaching notes, and assessments. Learners start with piece-wise functions and work their way through setting up and solving...

Ready to share the beauty of the inverse function with your classes? This algebra II lesson guides the discovery of an inverse function through a numerical, graphical, and an algebraic approach. Connections are made between the three,...

Explore nonlinear systems through graphs and algebra. High schoolers begin by examining the different types of quadratic functions and their possible intersections. They then use algebraic methods to solve systems containing various...

Graph growth in the US. Given population and area data for the United States for a period of 200 years, class members create graphs to interpret the growth over time. Graphs include population, area, population density, and population...

How does an input affect an output? Assess your learners' ability to answer this question using this pre-test. Scholars answer questions about the basics of a function. Topics include determining if a table or statement represents a...

Build a solid understanding of logarithmic functions and equations. Five lessons in the module begin by developing the concept of a logarithm. The next lessons address graphing logarithmic functions, logarithmic properties, and solving...

Calculating average speeds is not as simple as finding an average. The lesson introduces class members to rational functions by presenting a problem about finding an average speed for the rest of a trip. Pupils develop an equation to...

Your transformers will create and analyze graphs to discover which operations produce which transformations. Linear and exponential functions are used to model the transformations.

There's no easier test than the vertical line test. Learners drag a vertical line across the graphs of several relations in an interactive. They answer a set of challenge questions that focus on whether the graphs represent functions.

Playing with matches (unlit, of course) becomes an engaging learning experience in this fun instructional unit. Teach pupils how to apply properties of exponential functions to solve problems. They differentiate between quadratic and...

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...

It's time for a family reunion—function families, that is. Pupils first review different types of parent functions. They then see how to apply transformations to graphs and learn how to select the most appropriate type of function to...

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...

Middle and high schoolers collect and analyze data from four different activities. The activities include information about classmates, tallying colors of cars in a parking lot, stem and leaf plots, and making a histogram from...

How are functions related to chicken nuggets? A video teaches the concept of a function using the idea of a nugget-making machine as an analogy for a function machine. Learners determine if a relation is a function from an equation...

Keep your mathematicians engaged using this group linear functions activity. Each of ten groups receives two graphs with both an image and equation, as well as a "who has" phrase to call out the next graph. Scholars stay on their toes as...

This math packet provides an opportunity for learners to graph two linear equations on a coordinate grid and determine the slope and y-intercept of each. They use the equation of five lines to find the slope and y-intercepts, and then...

A function is like a machine that has an input and an output. Challenge scholars to look at the eight given points and determine the two functions that would fit four of the points each — one is linear and the other non-linear. The...

Pupils calculate the equation of a quadratic in vertex form from a specific graph and determine an equation that would fit the description of a parabola. The final question determines the individuals' understanding of the signs of the...

Introduce your algebra learners to linear and quadratic functions. Learners compare the differences and relate them back to the equations and graphs. Lead your class to discussions on the properties of a function or a constant slope...

Sketch graphs with the Graph Sketcher. Scholars graph functions on a coordinate plane. An interactive makes it as easy as inputting the function and clicking a button.

A six-page test covers content from several different high school math courses. It incorporates a few short answer, graphing, and word problems. It also allows room for mathematical reasoning and analysis.

There is more to the eye than just a graph on paper. The presentation shows three different piecewise graphs and asks an assortment of questions. The resource includes topics such as domain and range, intervals of increasing and...