What can an upper grader do with an exponential function? They can solve and graph it, identify its important characteristic, and differentiate graphs based on shifts in graph bases that are greater or less than one. This 45 minute...

A car traveling down a steep hill is the model for this resource. The confusion comes when the elevation, E, is given in terms of distance, d. The distance, d, is the horizontal distance from E. Therefore, the equation, E = 7500 – 250d,...

Students define exponential functions and graph the equation. In this algebra lesson, students discuss exponential growth and decay as they graph their functions. They differentiate between the base of growth and decay.

In this one to one functions instructional activity, high schoolers solve 27 short answer and graphing problems.  Students determine if a function is one to one given a graph or an equation.  High schoolers graph functions to...

Eighth graders examine how to create a 3-D effect on a flat surface and draw in two-point perspective. They view and discuss elements of design, analyze artwork by M.C. Escher and Roy Lichtenstein, and design and create an art folder.

In this Algebra II lesson, high schoolers explore the connection between the factored form of a quadratics and the zero of a function. Students use a graphing calculator to verify factoring numerically and graphically.

Functions require an input in order to get an output, which explains why the answer always has at least two parts. After only three multi-part questions, the teacher can analyze pupils' strengths and weaknesses when it comes to...

Connect geometric sequences to exponential functions. The 26th installment of a 35-part module has scholars model situations using geometric sequences. Writing recursive and explicit formulas allow scholars to solve problems in context.

When is the trigonometric value of a negative angle the same as the positive angle? Pupils compare the values of trigonometric functions for different angles and their negatives. The interactive resource provides a visual display to make...

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...

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...

As part of a unit, this lesson familiarizes youngsters with components of a rain garden. They speculate about the role of an assigned component in contributing to a rain garden, and ultimately, in the health of the local watershed. Each...

Through a variety of hands-on activities and physical scenarios, this far-reaching unit leads learners through an exceptionally thorough exploration of circles and parabolas as conic sections. Geometric construction techniques are used...

Incorporate multiple facets of the cell into your next high school lab! Through an introduction to cell organelles, class members observe each cell type and draw visuals to further demonstrate understanding of cellular processes in both...

What locations on Earth get the longest number of hours of daylight in the summer? Hint: It's not the equator! Use real-world sunrise and sunset data to develop trigonometric models that can be used to estimate the number of hours of...

Build a spectrometer to analyze properties of light. Scholars examine the spectrum from CDs and DVDs from two different light sources. Using the spectrum, they work to identify different elements.

Accelerate your class through finding the second derivative. Using a bank of equations, pupils determine the equations for distance, velocity, and acceleration and their associated function notations. With the equations, learners answer...

High school classes can use manipulatives too! Offer hands-on, interactive lessons that venture away from the typical day in your algebra class. Young mathematicians will be involved in collaborative learning, visual...

Keep moving along a curve. Two items in the set of released free-response questions from the 2010 AP® Calculus BC exam involve movement along a graph. One involves particle motion along a polar curve while the other uses a squirrel...

How do degrees relate to radians? The interactive allows pupils to manipulate the size of an angle in a unit circle to help see that relationship. Users determine the radian measure for given degree measures of angles, realizing the...

There are an infinite number of reasons to use the resource. Scholars drag vertical and horizontal lines to the graph of a rational function to identify all asymptotes. They investigate the connection between asymptotes and limits to...

Looking for a valuable resource on the spread of infectious diseases? Here is a lesson plan in which pupils simulate the spread of diseases and learn about how to prevent them from spreading. Class members read case studies about...

Fibonacci is an interesting sequence that forms some unique patterns. Learners explore sequences that do not have the typical arithmetic and geometric patterns. They identify the pattern and find the next consecutive terms....

Looking for a strategy to organize the information related to transformations? The materials ask pupils to identify a sequence of rigid transformations, identify corresponding angles and sides, and write a congruence statement. They...