University of North Texas
Library of Functions
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.
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 focus is on...
EngageNY
Analyzing a Graph
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.
EngageNY
Stretching and Shrinking Graphs of Functions
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.
EngageNY
Graphing Cubic, Square Root, and Cube Root Functions
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...
Houston Area Calculus Teachers
Cubic Polynomial
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...
Curated OER
Exercise Set 2.6: An Introduction to Functions
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.
Curated OER
Zeros of a Cubic
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.
Curated OER
Two Investigations of Cubic Functions
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...
Curated OER
Teen Pregnancy: Investigating Cubic Functions
In this teen pregnancy worksheet, students use a scatter plot and cubic functions to solve word problems about teen pregnancy. Students complete 7 problems.
William Mueller
William Mueller: Families of Functions
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.
Other
Math Centre: Cubic Equations [Pdf]
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.
Texas Instruments
Texas Instruments: Student Generated Cubic Functions
While using the TI-Navigator, students will attempt to create a cubic regression equation given three, two, and one x-intercept.
Texas Instruments
Texas Instruments: Cubic, Zeros and Tangents
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.
Texas Instruments
Texas Instruments: Finding the Roots of a Cubic Equation Math History
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.
Texas Instruments
Texas Instruments: Exploring Families of Functions
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...
Texas Instruments
Texas Instruments: You Must Still Think Yourself, Cas Can Only Help
This activity illustrates the proof of having three zeros on a cubic function using CAS.
Texas Instruments
Texas Instruments: Math Today for Ti Navigator System Humidity Makes Air Feel
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...
Sophia Learning
Sophia: Representing Cubic Functions With a Table
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.
Mangahigh
Mangahigh: Algebra: Recognize the Equations of Common Curves
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.
Illustrative Mathematics
Illustrative Mathematics: A sse.b.3.a and a sse.a.2: Cubic Identity
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.
CK-12 Foundation
Ck 12: Analysis: Cubic Models
[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...
Sophia Learning
Sophia: Representing Cubic Functions With a Table: Lesson 4
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."
Sophia Learning
Sophia: Representing Cubic Functions With a Table: Lesson 5
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."