How can an object as heavy as an airplane fly? Turns out the answer is quadratic! Your classes explore the Bernoulli Effect through an interactive graph representation. As a plane increases in speed, the lift force also increases. Young...

One step at a time! A seemingly linear relationship becomes an entirely new type of function. Young scholars build their understanding of step functions by completing a three-stage activity that incorporates multiple representations of...

Build conceptual understanding of graphs of quadratic functions with an out-of-this-world resource. An interactive lesson allows learners to manipulate a graph that models the launch of a UFO. The lesson focuses on the key features of...

It's all about lines when going around. Pupils graph the relationship between the length of a side of a square and its perimeter. Class members explain the origin in context of the side length and perimeter. They compare the graph to the...

Discover another way to interpret multiplication. Using an interactive, learners slide points (representing the factors of multiplication) along the x-axis of the graph of y = x^2 and observe changes in the line segment connecting the...

Use an iterative process to find an approximation of a square root. Pupils use the interactive to find an approximation to find the positive root of a quadratic function with Newton's method. With the graphs, learners position the...

Who wouldn't want to wear four pairs of sunglasses? Each pair of sunglasses reduces the percent of incoming light by one-half. An interactive tutorial helps young mathematicians build a graph that models this scenario. They...

Show budding mathematicians how to model a diminishing bacteria colony two ways—graphically and algebraically. Using the coordinate axis, pupils create a graph to represent the decay of a bacteria colony. They determine the number of...

Smells like learning! Young scholars collect data on the length of time a stick of deodorant lasts. After modeling the data with a graph and function, they make predictions about deodorant use over time.

In this graphing worksheet, young scholars determine the domain and graph quadratic functions. Coordinate planes are provided below each function. There are 36 problems on this four-page worksheet.

In this logarithmic function worksheet, students solve and graph logarithmic and exponential functions. Variables are included in the exponential and logarithmic functions. There are 18 problems to solve on this two-page worksheet. Graph...

In this graphing worksheet, students graph exponential and logarithmic functions. A coordinate plane is provided for each problem. Eighteen problems are on this two-page worksheet.

In this math worksheet, students determine the range of the function. Then they graph the functions while finding the coordinates on the plane.

In this math worksheet, students graph the equations through recognizing the position of the intercepts. They also create a function table for each.

In this math worksheet, middle schoolers practice graphing the linear equations on the Cartesian plane. They also create a function table for each.

This comprehensive lesson plan reviews solving and graphing quadratic functions and functions of higher degree.  Using the vertex form of a quadratic functions, one finds the vertex, minimum or maximum, and axis of symmetry. A few...

Students explore the concept of trig identities. In this trig identity lesson, students use Mathematica to graph trig identities. Students see the trig identities graphically and enforce the notion that two trig functions can be equivalent.

Mathematics set notation can be represented through a computer program loop. Making the connection to a computer program loop helps pupils see the process that set notation describes. The activity allows for different types domain and...

How long does it take to pay off a loan? Pupils use a graph to model the sequence associated with paying off a loan. Using the graph, learners determine the initial value and the common difference of the arithmetic sequence. The learners...

There are architectural parabolas all around us! A creative lesson analyzes the architecture of a parabolic bridge. Learners must manipulate the bridge to satisfy given criteria and then answer questions about the dimensions of the...

But what if the function cannot be inverted? Pupils continue to work with inverses of functions using tables, graphs, and algebraic equations. They restrict the domain of non-invertible functions to make them invertible. Using...

What is the connection between the quadratic formula and the types of solutions of a quadratic equation? Guide young mathematicians through this discovery as they use the discriminant to determine the number and types of solutions,...

Review the form of a quadratic function, and the parabola it creates. Continue on with the whole group to work through a mini-lab, practicing how to graph quadratic equations with one variable. The goal of this lesson is for the group...

In this math worksheet, students give an example of a function which is continuous but not differentiable. They also write a definition for differentiable.