Class members have the opportunity to quickly change the variables of an exponential graphs through the use of sliders on Desmos. Four graphs are given and young mathematicians, through the use of the graphing app, can discover which...

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...

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

Can you solve an equation graphically? Absolutely! This Algebra II lesson makes the connection between solving an absolute value equation and graphing two functions. Graphing absolute value functions is presented through the process of...

Learners analyze the difference between the slope intercept and standard forms of a line in this task. Given two general points using letters they explore linear functions and linear equations.

Pupils attempt to solve the Wireless Hotspot Problem and learn why it is considered a computationally hard problem in the ninth lesson of the series on 12. They also learn about one-way functions and how the Wireless Hotspot Problem is...

Your algebra learners analyze and interpret the general form and the graph of two functions. The increase of the function due to the multiplicative factor is emphasized.

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...

Your learners will explore linear functions by analyzing a graph of the linear equations.Then learners analyze through calculating f(x+P) and g(x+p)

The equations look different, but their graphs are the same. How can that be? This activity leads your mathematicians in an exploration of three different forms of the same quadratic function. After comparing the equations, their graphs,...

Comparing the movement of graphs geometrically when small changes are made to the parent function motivates this collaborative discussion on the transformations of functions to their various forms. Vertical and horizontal shifts due to...

Sixth graders interpret linear and nonlinear graphs. They create graphs based on a problem set. Next, they represent quantitive relationships on a graph and write a story related to graphing.

Skeeters are used to model linear and exponential population growth in a wonderfully organized lesson plan including teachers' and students' notes, an assignment, graphs, tables, and equations. Filled with constant deep-reaching...

No suspension here, the resource is good to go. Using graphing calculators, scholars explore how transformations affect the graphs of quadratic functions. They consider how the changes relate to the context of suspension bridges.

Your learners will explore the idea that not all functions have real numbers as domain and range values as seen in this real-life context. Secondly, the characteristics required for a function to have an inverse are explored including...

This activity guides learners through an exploration of common transformations of the graph of a function. Given the graph of a function f(x), students generate the graphs of f(x + c), f(x) + c, and  cf(x) for...

Algebra learners explore, analyze and build an exponential equation given its form and a specific point that exists on the function in this task. The last question asks learners to apply their ideas to an exponential equation given two...

Which function models the data best? Pupils work through several activities to model data with a variety of functions. Individuals begin by reviewing the shapes of the functions and finding functions that will fit plotted data points. By...

Not all linear functions are linear transformations — show your class the difference. The first lesson in a unit on linear transformations and complex numbers that spans 32 segments introduces the concept of linear transformations and...

Take steps into sequences. An 11-lesson unit builds upon pupils' previous understanding of writing expressions to develop the idea of sequences. The resource explores both arithmetic and geometric sequences using recursive and explicit...

The bounce of a golf ball changes the result in golf, mini golf—and a great math activity. Scholars graph the height of golf ball bounces before finding a line of best fit. They analyze their own data and the results of others to better...

Explore the difference between exponential growth and decay with this worksheet. Use tables, graphs, and algebraic methods to gain insight. The notion of an asymptote is also introduced. 

Hit a home run with your lessons. A two-part activity has learners explore quadratic equations that model the path of a baseball. They see how changing the initial speed of the ball affects its maximum height, maximum horizontal...

This activity consists of three exercises in which learners sketch the graphs of various power functions on the same axes. They use their sketches to make comparisons and observations which lead to generalizations about the graphs...