Curated OER
Linear Piecewise Functions
Students explore the concept of piecewise functions. For this piecewise functions lesson, students graph piecewise functions by hand and find the domain and range. Students make tables of values given a piecewise function. Students write...
Concord Consortium
Symbolic Similarity
How many things does one transformation tell you? Learners compare and contrast the graphs of different parent functions with the same transformation. Using a rational and absolute value function, pupils identify key features of their...
EngageNY
Graphing Cubic, Square Root, and Cube Root Functions
Is there a relationship between powers and roots? Here is a lesson that asks individuals to examine the graphical relationship. Pupils create a table of values and then graph a square root and quadratic equation. They repeat the process...
Concord Consortium
Intersections II
How many intersections can two absolute value functions have? Young scholars consider the question and then develop a set of rules that describe the number of solutions a given system will have. Using the parent function and the standard...
CK-12 Foundation
Continuity at a Point, Continuity Test, Types of Discontinuity: Properties of Continuous Functions
Take a closer look at continuous functions within given intervals. Using the parent cubic function, learners explore properties of continuous functions on intervals. Pupils interpret the Intermediate Value Theorem and the Extreme Value...
Concord Consortium
Graphical Depictions
Parent functions and their combinations create unique graphical designs. Learners explore these relationships with a progressive approach. Beginning with linear equations and inequalities and progressing to more complex functions,...
Illustrative Mathematics
Building a General Quadratic Function
Rewrite a quadratic function to easily see the transformations involved. The instructional task takes a general quadratic function and rewrites it into a form that shows the translations and scaling of the parent quadratic function. The...
Alabama Learning Exchange
Technology for Displaying Trigonometric Graph Behavior: Sine and Cosine
Young scholars explore the concept of sine and cosine. In this sine and cosine lesson, students work in groups to graph sine and cosine functions. Young scholars examine how coefficients in various parts of each parent function shift...
Curated OER
Regents High School Exam: Living Environment 2008
Tne New York Regents High School Examinations are comprehensive and include various styles of questions, includingmultiple choice and the analysis of graphs. This particular version, the 2008 Living Environment exam surveys a variety of...
Intel
Choreographing Math
Leaners investigate families of linear functions through dance. They choreograph dance moves to model nine unique linear functions of their choosing. Using their dance moves, teams create a video presentation complete with music and...
Concord Consortium
Betweenness V
Take a unique approach to study the graphing of trigonometric functions. Young scholars consider two sine functions and write three functions that will lie between the two given. They use a graphing utility to assist in their explorations.
Flipped Math
Unit 5 Review: Systems of Equations
Activate transformers along with algebra systems. Pupils use 10 problems to review transformations of functions to solve a variety of systems of equations. Individuals identify the types of transformations from an equation along with...
Rice University
Algebra and Trigonometry
Move on into trigonometry. An informative eBook takes the content of a College Algebra course and adds more relating to trigonometry and trigonometric functions. The content organization allows pupils to build upon their learning by...
Curated OER
Quadratic Functions
Students explore the concept of quadratic equations. In this quadratic equations activity, students determine what shifts of a parent graph will look like by describing in sentences. Students factor quadratic expressions and solve...
University of North Texas
Math Exam 1 Review
Perfect as a review guide, this worksheet provides a range of questions focusing on functions. Topics include composing functions, transformations, domains, and polynomials. Also included are corresponding worksheets focusing on other...
Curated OER
Transformation of Graphs
In this college level Pre-calculus worksheet, students examine families of functions and describe how graphs of the transformation can be obtained from the parent graph. The four page worksheet contains seventy-two problems. Answers...
Curated OER
Matrix Analysis of Networks
Explore the connection between a finite graph, a directed graph, and a matrix. Graph lines and identify the relationship of matrices in real-world scenarios. Then use this information to work with a partner to plan and design a town...
Virginia Department of Education
Transformation Investigation
Graph it! Investigate transformations with a graphing calculator. Pupils graph sets of linear functions on the same set of axes. They determine how changes in the equation of a linear function result in changes in the graph.
Curated OER
IB Math SL 1 - Transformations and Combinations Worksheet
Study transformations and combinations with your advanced math class. They solve four graphing problems by graphing the transformations of a parent graph. They determine the equations to represent the given transformations of a parent...
Curated OER
Vertical and Horizontal Translations
Pupils analyze function graphs. In this Algebra II/Pre-calculus lesson, students investigate the graph of a function as they determine to which family of functions it belongs, determine the parent function and describe the translation...
Curated OER
Families of Functions
In this Algebra II worksheet, 11th graders shift the absolute value function horizontally and vertically, stretch and shrink, and reflect parent function. The two page worksheet contains three problems. Answers are not provided.
Curated OER
Computer Graphing Calculator Explorations
High schoolers explore the graphing calculator feature on the Macintosh computer to explore some "parent" functions and their translations, combinations, and composites.
Curated OER
Graphing Square Root and Other Radical Functions
In this worksheet, students graph the square root and other radical functions by examining the parent function and the translations and shifts that occur within the function family. The two page worksheet contains twelve problems.
Curated OER
Properties of Exponential Functions
In this algebra worksheet, students graph exponential equations and use the formula to translate the graph on a coordinate plane. There are 3 word problems.