Piecewise Function Teacher Resources
Find Piecewise Function lesson plans and worksheets
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Mathispower4u
Determine Function Values for a Piecewise Defined Function (Example)
Determine the equation to use in evaluating a piecewise function. Learners watch a video on evaluating a piecewise function. They confirm the equation to use based on the domain and then use substitution to find the value of the function...
Mathispower4u
Graph a Piecewise Defined Function (Example 2)
Take two linear pieces and make a complete graph. A helpful video shows how to graph a linear piecewise function. Pupils review graphing linear functions and then see how to restrict their domains based on the defining domains for the...
Mathispower4u
Graph a Piecewise Defined Function (Example 1)
Determine what the pieces look like together. The Mathispower4u video for Algebra 1 provides a simple example of graphing a piecewise function. The function is made up of three segments that consist of constant functions. Pupils see...
Curated OER
Types of Functions and Composition of Functions
Algebra II classes solve problems relating to piecewise functions, step functions, and decomposition/composition of functions. They utilize links to work with real world examples. Mr. Pleacher has added humor to the lesson by including...
Mt. San Antonio Collage
Test 1: Functions and Their Graphs
Save the time creating an assessment because these function problems should do the trick. With 10 multi-part questions, they each focus on a different topic including radical, polynomial, linear and piecewise functions. The majority of...
College Board
Differentiability of Piecewise Defined Functions
Differentiable or not, that is the question. An informational website gives two theorems on the differentiability of piecewise functions at their endpoints. It goes on to apply the theorems to present two solution methods to a past AP®...
Mathematics Vision Project
Module 8: More Functions, More Features
A piece of this and a piece of that, add domain restrictions and create a piecewise function. Young scholars explore piecewise functions with and without context. Functions include both linear and quadratic parts. The module is the...
Mathispower4u
Determine a Basic Piecewise Defined Function
Not all functions have the same equation throughout. Learners see a word problem that requires more than one equation to model the situation. The video from the Mathispower4u Algebra 1 series introduces the concept of piecewise defined...
PBL Pathways
Death Project
Verify the rule of thumb for finding the time of death. The project-based learning task asks pupils to determine when the rule of thumb process of finding the time of death is appropriate. Learners develop a function for the rule and...
Curated OER
Easy Worksheet: Limits 2
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.
Curated OER
Evaluating Functions
In 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...
Calculus Expert
Modeling the Equation of a Piecewise Defined Function from Its Graph
Build a function from pieces of other functions. Learners observe how to write a piecewise function from its graph with an instructive video. The video uses all notation and vocabulary related to piecewise functions, as well as...
Curated OER
Slope, Vectors, and Wind Pressure
A hands-on lesson 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...
PBL Pathways
Medical Insurance 3
Create a technical report explaining the components of a medical plan through a function. The project-based learning activity gives a medical insurance scenario that young mathematicians model using piecewise functions. Their analyses...
PBL Pathways
Medical Insurance
Design a plan for finding the best health insurance for your money. Learners compare two health plans by writing and graphing piecewise functions representing the plan rules. Using Excel software, they create a technical report...
Flipped Math
Unit 8 Review: Functions
Let's finish a functional review. Pupils work through 31 items to review the concepts learned in Unit 8. Scholars determine whether a mapping is a function and identify the domain and range. Using function notation, individuals then...
EngageNY
End-of-Module Assessment Task - Algebra 1 (Module 3)
Looking for higher-level thinking questions? This assessment provides questions that challenge young mathematicians to think and analyze rather than simply memorize. Topics include piecewise functions, linear modeling, exponential...
Educator.com
Desmos Tutorial
Demonstrate the functionality of the Desmos software for your pupils. with a video that discusses different aspects of the software from graphing piecewise function to finding roots and changing axis. The overview is sufficient to...
Krista King Math
How to Find Limits on Crazy Graphs
Discover how to find limits using graphs. Viewers learn how to determine limits of a piecewise function at specific points by analyzing a graph. They consider both one-sided and two-sided limits.
Flipped Math
Calculus AB/BC - Connecting Multiple Representations of Limits
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...
Flipped Math
Calculus AB/BC - Determining Limits Using Algebraic Properties
Taking calculus doesn't mean one can forget all about algebra. Viewers of an educational video learn how to determine limits using algebraic properties. They apply basic operations to calculate limits and use substitution to find one-...
Curated OER
Match Me Plus
Have your class investigate Piecewise functions by matching a position versus time graph to the function that describe the walk.
Curated OER
The Function Elevator
Students solve and graph functions. In this precalculus lesson, students use piecewise function to relate real life scenarios. They analyze the graphs and identify the vertex and intercepts.
Concord Consortium
Filling the Pool
Fill your mind with math as you think about filling a pool. Given information about the rates of two pipes, one filling a pool and one draining a pool, learners determine a piecewise function that models the volume of water in the pool...
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