In this rate equation worksheet, students use Euler's method to estimate the value of rate equations. They use the piecewise linear function approximation to determine the solution of an initial value problem. This two-page worksheet...

It's time to put it all together. Viewers of an informative video learn to connect multiple representations of limits. Given algebraic, tabular, and graphical representations of a linear piecewise function, they determine whether a limit...

Jam packed with problems, this advanced Algebra worksheet focuses on topics such as domain, solving quadratics, solving rationals, and function notation.  

Pupils use graphs to analyze two pricing schemes for postcards. After determining which is the best deal, individuals determine what is wrong with the other pricing structures and explain their thinking.

The student should be able to transfer his knowledge of graphing functions to graphing trigonometric functions. Student should be able to graph trigonometric functions, find amplitude, period, and frequency.

In this calculus worksheet, students answer 14 short-answer questions regarding Euler's Method, rate equations, initial conditions, and slope functions.

Employ proportional reasoning and algebraic understanding to a determine a real world math quandary. Intel has created a project based unit to engage learners in using algebra to describe the physical world. They will create equations,...

In this interpolation activity, students use a linear interpolating polynomial and then describe the extrapolated value of the function. This four-page activity contains ten problems.

Ramp up a design challenge. Class members design ramps to meet a client's requirements to comply with the American with Disabilities Act. The scholars create a scaled graph of their designs and determine the equations of the lines on...

Students investigate piecewise functions. In this algebra lesson, students model piecewise functions in the real world. They graph the parts of the functions following the restrictions of the domain.

Can you graph your story? Keep your classes interested by challenging them to graph a scenario and interpret the meaning of an intersection. Be sure they paty attention to the detail of a graph, including intercepts, slope,...

Students examine a recent flight of Pathfinder. In groups, they use the information to create a table of values showing the battery charge of the space machine. They predict what the charge would be further on in the mission. They use...

Students explore the concept of finding the area between two curves. In this finding the area between two curves instructional activity, students model the logos of McDonalds, Nike, and Motorola on grid paper. Students find functions to...

Young scholars explore the concept of sine and cosine.  In this sine and cosine instructional activity, students work in groups to graph sine and cosine functions.  Young scholars examine how coefficients in various parts of...

Students analyze piecewise functions. In this precalculus lesson, students identify the position, velocity and distance. They analyze the relationship between the graph, its position and velocity.

Need to build a laser fence on Mars?  In this cute maximizing-area lesson plan, young explorers pretend to be prospectors on Mars and must determine the best way to use 20 meters of fencing in order to maximize their area. In...

Learners explore logic and use Geometer’s Sketchpad and patterns of logic to solve a puzzle.

An interesting instructional activity on hypothesizing about the diameter of a drop of blood that is splattered. To test their theories, learners work in groups to make blood droplets splatter from different heights. They use graphed...

Piecewise linear functions are presented with examples and definitions. See how piecewise functions are applied to real-world situations through an example with income taxes.

Given the graph of a nonlinear piecewise function, find its formula. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

Given the graph of a nonlinear piecewise function, find its formula.

In this activity, students' will record motion data for a walker and describe segments of the walker's motion using linear function. They will model the motion data using a piece-wise continuous function assembled from linear functions.

Match the formula of a piecewise function to its graph. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

The primary focus should be on slope as rate of change and piecewise functions. This activity allows exploration of multiple types of slope; i.e., positive slope, negative slope, or zero slope for students to build their understanding of...