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 instructional...
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...
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
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.
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...
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...
Curated OER
Piecewise Modeling with Multiple Functions: Federal Debt
Students analyze data on debt and write an equation. In this statistics lesson, students are given data from different time periods, and are asked to graph and analyze the data. They work in groups, and are assigned different parts of...
Curated OER
Plotting Data Tables
Students make a table and plot their data on a graph. In this algebra lesson, students graph piecewise functions using the given equations along with the restricted domain. They calculate the rate of change.
Curated OER
Position and Piecewise Velocity
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.
Curated OER
Functions
Students explore a variety of functions. They recognize and describe functions and use linear functions to describe situations. Students find the domain and range of linear functions and graph rational expressions.
Curated OER
Perfect Shuffles
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.
Curated OER
Local Linearity
In order to investigate local linearity, students graph the function on the TI-calculator and zoom to observe the change in slope on the line. They incorporate technology to visualize these problems.
CCSS Math Activities
Smarter Balanced Sample Items: High School Math – Claim 3
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...
Curated OER
Particle Motion1
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.
Curated OER
Basic Limits
Learners calculate the limits of functions. For this calculus lesson, students find the left and right handed limits of different functions. They use the Ti Navigator to drag the function around as they study limits.
Curated OER
Let's Get Physical
Students collect data using the CBL. In this statistics lesson, students predict the type of graph that will be created based on the type of activity the person does. The graph represents heart rate depending the level of activity.