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PPT
University of North Texas

Library of Functions

For Students 9th - 12th Standards
Join the family picnic and see how all the functions come together in a PowerPoint that highlights their main features. As it includes topics such as domain, range, and intercepts, the slides are a great guide to promote class discussions. 
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PPT
University of Texas

A Library of Parent Functions

For Students 9th - 12th Standards
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 focus is on...
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Lesson Plan
EngageNY

Analyzing a Graph

For Teachers 9th - 10th Standards
Collaborative groups utilize their knowledge of parent functions and transformations to determine the equations associated with graphs. The graph is then related to the scenario it represents. 
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Lesson Plan
EngageNY

Stretching and Shrinking Graphs of Functions

For Students 9th - 10th Standards
Why is that graph wider? Pupils learn about stretching and shrinking graphs of square root, absolute value, cubic, and quadratic functions. They study both vertical and horizontal stretches and shrinks in addition to reflections. 
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Lesson Plan
EngageNY

Graphing Cubic, Square Root, and Cube Root Functions

For Students 9th - 10th Standards
Is there a relationship between powers and roots? Here is a activity 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...
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Activity
Houston Area Calculus Teachers

Cubic Polynomial

For Students 11th - Higher Ed
Birthdays are a time for celebration, and now they're a time for calculation! An AP calculus lesson uniquely explores relationships between a polynomial function and its derivative. Learners create a cubic function based on their...
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Worksheet
Curated OER

Exercise Set 2.6: An Introduction to Functions

For Students 9th - 12th
In this functions worksheet, students solve 70 short answer questions. Students find domain of functions and evaluate them for a given value. Students determine if a mapping diagram represents a function.
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Lesson Plan
Curated OER

Zeros of a Cubic

For Teachers 9th - 12th Standards
Mathematicians explore cubic functions by learning how to investigate the relationship between the x-coordinates of the three zeros of a cubic function.  The lesson also contains an application of differentiation. 
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Lesson Plan
Curated OER

Two Investigations of Cubic Functions

For Teachers 9th - 12th Standards
Through learning about cubic functions, students graph cubic functions on their calculator.  Students determine the local maximum and minimum points and the tangent line from the x-intercept to a point on the cubic function.  Students...
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Worksheet
Curated OER

Teen Pregnancy: Investigating Cubic Functions

For Students 7th - 12th
In this teen pregnancy worksheet, students use a scatter plot and cubic functions to solve word problems about teen pregnancy. Students complete 7 problems.
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Graphic
William Mueller

William Mueller: Families of Functions

For Students 9th - 10th Standards
Meet the Function Family! Each member of the family has examples of their graphs and descriptions of the types of real-world situation that produce those graphs.
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Activity
Other

Math Centre: Cubic Equations [Pdf]

For Students 9th - 10th
This resource explains what the features of cubic equations are and how to solve them algebraically and by graphing them. Includes practice exercises with answers provided.
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Activity
Texas Instruments

Texas Instruments: Student Generated Cubic Functions

For Teachers 9th - 10th
While using the TI-Navigator, students will attempt to create a cubic regression equation given three, two, and one x-intercept.
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Activity
Texas Instruments

Texas Instruments: Cubic, Zeros and Tangents

For Teachers 9th - 10th
In this Computer Algebra System (CAS) activity, students use CAS to prove a theorem regarding cubic functions, their zeros [roots], and tangents to the curves.
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Activity
Texas Instruments

Texas Instruments: Finding the Roots of a Cubic Equation Math History

For Teachers 9th - 10th
In this Derive activity, students understand how the software solves cubic equations and relate it to contributions made by del Ferro, Tartaglia, and Cardan in finding the method of solving cubic equations.
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Activity
Texas Instruments

Texas Instruments: Exploring Families of Functions

For Teachers 9th - 10th Standards
This activity provides students an opportunity to discover the similarities involved in shifting the parent functions for absolute value, quadratic, cubic, radical, exponential, and logarithmic functions. Students will also be given the...
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Activity
Texas Instruments

Texas Instruments: You Must Still Think Yourself, Cas Can Only Help

For Teachers 9th - 10th
This activity illustrates the proof of having three zeros on a cubic function using CAS.
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Activity
Texas Instruments

Texas Instruments: Math Today for Ti Navigator System Humidity Makes Air Feel

For Teachers 9th - 10th
Using data from the USA TODAY graphic,"Humidity makes air feel even hotter," students will explore quadratic and cubic functions to determine how well they model the relationship between air temperature and heat index. When the models...
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Unit Plan
Sophia Learning

Sophia: Representing Cubic Functions With a Table

For Students 9th - 10th
This lesson demonstrates how to determine values for a cubic function and represent them on a table. Students watch a video tutorial and then take a quiz.
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Unit Plan
Mangahigh

Mangahigh: Algebra: Recognize the Equations of Common Curves

For Students 9th - 10th Standards
Students recognize and know the sketches of quadratics, cubics and recipricols including the shape of positive and negative functions and the interpretation of their y-intercepts.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A sse.b.3.a and a sse.a.2: Cubic Identity

For Teachers 9th - 10th
This task presents a challenging exercise in both algebraic manipulations and seeing structure in algebraic expressions. Aligns with A-SSE.B.3.a and A-SSE.A.2.
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Unit Plan
CK-12 Foundation

Ck 12: Analysis: Cubic Models

For Students 11th - 12th
[Free Registration/Login may be required to access all resource tools.] In this lesson students will be modeling with cubed or piece-wise functions. Students examine guided notes, review guided practice, watch instructional videos and...
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PPT
Sophia Learning

Sophia: Representing Cubic Functions With a Table: Lesson 4

For Students 7th - 8th
This lesson demonstrates how to determine values for a cubic function and represent them on a table. It is 4 of 5 in the series titled "Representing Cubic Functions with a Table."
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PPT
Sophia Learning

Sophia: Representing Cubic Functions With a Table: Lesson 5

For Students 9th - 10th
This lesson demonstrates how to determine values for a cubic function and represent them on a table. It is 5 of 5 in the series titled "Representing Cubic Functions with a Table."