Piecewise Function Teacher Resources

Take a free look. Released free-response questions from the 2003 AP® Calculus AB exam show how questions cover different topics. Pupils and teachers review the topics of bounded regions, particle movement, rates, relationships between...

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

Communication is the key. A presentation provides 25 sample items for Claim 3, Communicating Reasoning, for the Smarter Balanced High School Math assessment. Items require pupils to answer the question and provide logical reasoning to...

Find the area as it slides. Pupils derive an equation to find the painted area of a section of a trapezoidal-shaped stage The section depends upon the sliding distance the edge of the painted section is from a vertex of the trapezoid....

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,...

Properly apply the properties of integrals. By watching a video, scholars learn about the properties of definite integrals. They see how to use the area under a curve and the properties to determine the value of a given definite integral.

Take a closer look at the exam. Released items from the 2001 Calculus AB exam allow teachers and pupils to view how the exam presents questions. Scholars use the questions to prepare for the test and compare their responses to the...

Young mathematicians solve and graph piecewise functions in this calculus lesson. They integrate linear functions containing restrictions and graph their answers using the TI.

Pupils examine graphs for continuity and differentiability in this calculus lesson. They observe piecewise functions to see where continuity and differentiability come into play. Learners finish by graphing their equation on the TI...

Students solve linear equations and graph the different functions. In this algebra lesson, students graph piecewise functions using the slope and y-intercept and the given restrictions on the domain of the line. They discuss rate of...

In this algebra instructional activity, students graph piecewise functions, and circles using restrictions. They graph a line and chop it on both ends to create a stair case looking graph or a ladder. There are 3 involve questions with...

Learners make a table and plot their data on a graph. In this algebra activity, students graph piecewise functions using the given equations along with the restricted domain. They calculate the rate of change.

Pupils 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.

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...

Students solve piecewise functions. In this precalculus lesson, students model real life scenarios using velocity and piecewise. They create velocity graphs and find the beginning and end position of an object.

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.

in this graphing review activity, students solve a variety of problems such as interpreting parabolas, identifying intercepts and asymptotes, and identifying functions. They solve piecewise functions and rational functions. This twenty...

Translate an absolute value equation, horizontally and vertically. First, what is the form of an absolute value equation? There are several variables that represent specific pieces in this equation. Vertical, horizontal, constant,...

Touchdown! This is an exponentially insightful lesson that explores the growth of football games with different video game consoles. Class members discuss whether the increase of mergahertz can be described as linear or exponential....

Explore linear programming on a website game. Partners solve a real-world problem by setting up an objective function and a linear inequality. They graph their results on chart paper and also using a calculator before presenting their...

Need to build a laser fence on Mars?  In this cute maximizing-area lesson, 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 addition,...

Show your classes the importance of mathematics in something as simple as bicycle design. The final lesson in the six-part STEM series has each group research a different aspect of the bicycle. Learners use mathematical formulas, linear...

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...