University of Texas
A Library of Parent Functions
Don't think this lesson is for Mom and Dad; parent functions are all for your high schoolers. Flip through a presentation with a focus slide on each type of graph and its characteristics. Some examples are included but the...
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...
University of North Texas
Reading Graphs
There is more to the eye than just a graph on paper. The presentation shows three different piecewise graphs and asks an assortment of questions. The resource includes topics such as domain and range, intervals of increasing and...
EngageNY
Two Graphing Stories
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,...
Mathematics Assessment Project
Representing Functions of Everyday Situations
Functions help make the world make more sense. Individuals model real-world situations with functions. They match a variety of contexts to different function types to finish a helpful resource.
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...
Curated OER
Linear Graph
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...
Curated OER
Piecewise Linear Integral
Young mathematicians solve and graph piecewise functions in this calculus activity. They integrate linear functions containing restrictions and graph their answers using the TI.
EngageNY
Increasing and Decreasing Functions 2
Explore linear and nonlinear models to help your class build their function skills. In a continuation of the previous lesson, learners continue to analyze and sketch functions that model real-world situations. They progress from linear...
Mathematics Vision Project
Module 3: Features of Functions
Learn how to represent functions in multiple ways. Learners analyze functions as equations, graphs, and verbal descriptions. The analysis includes intercepts, behavior, domain, and range. The module of seven lessons makes up the third...
Mathematics Vision Project
Module 5: Features of Functions
The language and features of functions get careful treatment in a complex but doable lesson. Learners get a lot of practice really figuring out what a graph means in context, and also identifying key features of graphs. Key ideas...
EngageNY
Modeling a Context from a Graph
Collaborative pairs develop functions that model a graph from a context using the modeling cycle. They then analyze their function models in order to answer questions about the scenario.
Curated OER
The Function Elevator
Pupils 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.
Curated OER
Easy Worksheet: Limits 2
For 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.
Illustrative Mathematics
Bank Account Balance
Represent the ups and downs of a bank account. The two-part task points out that some types of graphs may better show discrete functions than others. Pupils analyze a graph on how well it represents the situation. They develop their own...
Curated OER
Piecewise-Defined Functions 2
In this Piecewise-Defined function worksheet, 10th graders identify the function for a given graph. Additionally, they find the y-intercept, y-intercept, domain, range and interval of each function. Students solve this information for...
Curated OER
Piecewise-Defined Functions 1
In this piecewise-defined function, learners explore the graph of given functions and match it to the proper equation. They identify the x and y-intercepts, domain, range, and interval of each function. There are approximately ten...
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...
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...
Radford University
Create A Ramp Design
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...
Radford University
Skate Ramp
Going up and down makes a more exciting ride. Pupils recall what they know about continuity and limits of functions. Working in groups, classmates design a skateboard ramp that meets a given set of criteria, using at least three...
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...
Texas Instruments
Continuity and Differentiability 1
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...
Concord Consortium
Painted Stage
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....