# Piecewise Functions Teacher Resources

Find Piecewise Functions educational ideas and activities

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**1**-**20**of**68**resources#### Linear Piecewise Functions

10th - 12th

Learners explore the concept of piecewise functions. For this piecewise functions lesson, students graph piecewise functions by hand and find the domain and range. Learners make tables of values given a piecewise function. Students write piecewise functions given a graph.

#### Introduction to Piecewise Functions

9th - 12th

Investigate and discuss piecewise functions. Using TI-nspire, examine peicewise functions through an analysis of functions and their respective domains. Included are teacher and student documents.

#### Writing Formulas for Piecewise Functions

9th - 12th

Students explore the concept of piecewise functions. In this piecewise functions lesson plan, students write functions to represent the piecewise function graphs on their Ti-Nspire calculator. Students determine the formula given the piecewise function graph.

#### Writing Formulas for Piecewise Functions

11th - 12th

Students explore piecewise functions. In this Algebra II/Pre-calculus lesson, students write formulas for piecewise functions and check their work on the calculator. The lesson assumes that students have seen piecewise functions prior to this activity.

#### Is There a Limit to Which Side You Can Take?

9th - 12th

Calculus students find the limit of piecewise functions at a value. They find the limit of piecewise functions as

*x*approaches a given value. They find the limit of linear, quadratic, exponential, and trigonometric piecewise functions.#### Slope, Vectors, and Wind Pressure

9th - 11th

A hands-on activity using the TI-CBR Motion Detector to provide information to graph and analyze. The class uses this information to calculate the slope of motion graphs and differentiate scalar and vector quantities. There is a real-world activity of a Roof Manufacturer's Test in regards to the pitch of roofs, as well as several other real-world scenarios.

#### NUMB3RS Activity: Seeing in the Dark

7th - 10th

Students investigate sonar technology. In this Algebra II lesson, students explore use sound waves to measure distance. The students conduct several experiments with a CBR 2 unit to collect data and graph distance vs. time. Students model the data with piecewise functions.

#### Piecewise Defined Functions

9th - 11th

Graph piecewise functions as your learners work to identify the different values that will make a piecewise function a true statement. They identify function notations and graph basic polynomial functions. This lesson includes a series of critical thinking questions and vocabulary.

#### Turn Off the Extra Lights?

9th - 12th

Students explore the concept of piecewise functions. In this piecewise functions lesson, students bring in their own electric bill and determine functions to represent their bill using their Ti-Nspire. Students graph piecewise functions that represent their energy bill. Students determine the cost of heating their home per square foot.

#### Finding the Limit: Piecewise Functions and Graphs

9th - Higher Ed

This pre-calculus worksheet is short, yet challenging. High schoolers calculate the limit of piecewise functions, rational functions, and graphs as

*x*approaches a number from the positive or negative side. There are four questions.#### Choosing a Cell Phone Plan

7th - 10th

Here is an activity that should catch the attention of your class! It focuses on the real-world problem of selecting the best cellular phone plan. This exercise would be especially good to use when introducing piecewise functions. Learners compare costs for various data plans, considering such features as unlimited talk and unlimited texts, to determine which plan is the most cost effective for different scenarios. The task requires giving graphical and numerical representations of the options and writing a justification for choosing a particular plan. The resource includes a detailed commentary for the teacher and three follow-up questions.

#### Match Me Plus

9th - 12th

Have your class investigate Piecewise functions by matching a position versus time graph to the function that describe the walk.

#### Evaluating Functions

11th

For this evaluating functions worksheet, 11th graders solve and complete 24 various types of problems. First, they evaluate the functions for the given values. Then, students graph each of piecewise functions. They also write an equation that relates the variables and graph the functions.

#### Easy Worksheet: Limits 2

11th - 12th

In this limits worksheet, students solve 4 short answer problems. Students identify the limit of a function for a specified value given a graph, equation, or piecewise function.

#### Piecewise Practice Problems

10th - 12th

In this algebra worksheet, students validate continuity of a graph by a defined interval as well as determine continuity of a piecewise function.

#### Glencoe - Algebra II Review 7

9th - 12th

In this algebra II review worksheet, students solve 20 multiple choice problems. Students solve systems of linear inequalities and equations, determine type of discontinuity for piecewise functions, solve step functions, find zeros of equations, etc.

#### Glencoe - Algebra II Review 6

9th - 12th

Learners hop online to complete a self-assessment. Using the interactive tool, they solve 16 multiple choice problems. They graph inequalities, find linear equations passing through two points, solve piecewise functions, find the domain and range of a relation, and find the first three terms in a sequence. There's even a hint provided for each problem.