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Assessment
Concord Consortium

Functions by the Slice

For Students 11th - 12th Standards
Piece by piece ... dismantling a function can highlight interesting patterns. The task asks learners to slice functions in sections with the same vertical change. They then recreate the graph with these slices positioned horizontally....
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Lesson Plan
West Contra Costa Unified School District

Graph Square Root and Cube Root Functions

For Teachers 9th - 11th
Scholars first learn to graph square root and cube root functions by creating a table of values. They then learn how to graph functions from transformation of the graphs of the parent square root and cube root functions.
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Lesson Plan
02 x 02 Worksheets

Inverse Functions

For Students 10th - 12th Standards
Young mathematicians look for patterns in inverse functions as they relate to the original functions. The comprehensive lesson emphasizes vocabulary throughout as well as algebraic and graphical characteristics of the inverse functions.
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Lesson Plan
Curated OER

Exponential Functions

For Teachers 11th - 12th
With this two-page resource, learners evaluate and graph exponential functions. There are 48 questions using logs and exponents as the parent function.
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Interactive
CK-12 Foundation

Vertical Translations: Translating a Square Root Function

For Students 10th - 12th Standards
How does the equation of a function reflect translations? Scholars manipulate the starting point of the parent square root function before determining the new equations that result from the translations. Class members also determine the...
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Assessment
Inside Mathematics

Graphs (2007)

For Teachers 9th - 12th Standards
Challenge the class to utilize their knowledge of linear and quadratic functions to determine the intersection of the parent quadratic graph and linear proportional graphs. Using the pattern for the solutions, individuals develop a...
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Lesson Plan
CK-12 Foundation

Finding and Defining Parts of a Polynomial Function Graph

For Teachers 10th - 12th Standards
So many things to remember when graphing polynomials and this guide gives a helping hand to do so. The packet goes through examples and explains things like critical values, end behavior, and multiplicities. There are image links and...
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Assessment
Concord Consortium

Symbolic Similarity

For Students 9th - 11th Standards
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...
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Assessment
Concord Consortium

Intersections I

For Students 8th - 12th Standards
One, two, or zero solutions—quadratic systems have a variety of solution possibilities. Using the parent function and the standard form of the function, learners describe the values of a, b, and c that produce each solution type. They...
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Lesson Plan
Curated OER

Parent Functions Reference

For Teachers 11th - Higher Ed
For this functions worksheet, young scholars explore the graphs of fifteen parent functions.  This worksheet is meant as a reference for students.
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Lesson Plan
Curated OER

Transformations and Exponential Functions

For Teachers 10th
Tenth graders study graphing exponential functions. For this transformations lesson, 10th graders apply inquiry to determine how changes to a parent function affect its graph. Students analyze transformed graphs and generate the function...
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Assessment
Concord Consortium

Betweenness V

For Students 10th - 12th Standards
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.
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Worksheet
Curated OER

Transformations with Functions

For Students 10th - 11th
In this transformations activity, students solve and graph 8 different problems related to various forms of functions. First, they write the equation for the graph of a function given. Then, students describe the transformations that...
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Lesson Plan
Texas Instruments

Let's Play Ball with Families of Graphs

For Teachers 9th - 12th Standards
Learners explore quadratic equations in this Algebra II lesson. They investigate families of quadratic functions by graphing the parent function and family members on the same graph. Additionally, they write the equation of the parabola...
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Assessment
Concord Consortium

Intersections II

For Students 8th - 12th Standards
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...
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Interactive
CK-12 Foundation

Continuity at a Point, Continuity Test, Types of Discontinuity: Properties of Continuous Functions

For Students 11th - Higher Ed
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...
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Assessment
Concord Consortium

Graphical Depictions

For Students 9th - 12th Standards
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,...
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Assessment
Illustrative Mathematics

Building a General Quadratic Function

For Students 9th - 12th Standards
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...
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Lesson Plan
Alabama Learning Exchange

Technology for Displaying Trigonometric Graph Behavior: Sine and Cosine

For Teachers 10th - 12th Standards
Students explore the concept of sine and cosine.  In this sine and cosine instructional activity, students work in groups to graph sine and cosine functions.  Students examine how coefficients in various parts of each parent function...
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Worksheet
University of North Texas

Math Exam 1 Review

For Students 9th - 12th Standards
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...
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Lesson Plan
Curated OER

Transformation of Graphs

For Teachers Higher Ed
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...
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Worksheet
2
2
Flipped Math

Unit 5 Review: Systems of Equations

For Students 9th - 12th Standards
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...
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eBook
Rice University

Algebra and Trigonometry

For Students 10th - Higher Ed Standards
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...
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Worksheet
Curated OER

Quadratic Functions

For Students 9th - 12th
Students explore the concept of quadratic equations.  For this quadratic equations worksheet, students determine what shifts of a parent graph will look like by describing in sentences.  Students factor quadratic expressions and solve...