Cubic Functions
Grade 7•45 minutes•Act as a responsible and contributing community members and employee.
Utilize critical thinking to make sense of problems and persevere in solving them.
Use technology to enhance productivity increase collaboration and communicate effectively.
MP.1 Make sense of problems and persevere in solving them
MP.2 Reason abstractly and quantitatively
MP.3 Construct viable arguments and critique the reasoning of others
MP.4 Model with mathematics
MP.5 Use appropriate tools strategically
MP.6 Attend to precision
MP.7 Look for and make use of structure
MP.8 Look for and express regularity in repeated reasoning
F.BF.A.1.a Write a function that describes a relationship between two quantities.
a. Determine an explicit expression, a recursive process, or steps for calculation from a context. Major (Algebra 2) Supporting (Algebra 1)
F.BF.A.1.b Write a function that describes a relationship between two quantities.
b. Combine standard function types using arithmetic operations.
F.IF.A.1. Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. The graph of f is the graph of the equation y = f(x). Major (Algebra 1)
F.IF.A.2. Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context. [Climate Change] Major (Algebra 1)
F.IF.B.4. For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. ★ Major (Algebra 1)
F.IF.B.5. Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. ★ [Climate Change] Major (Algebra 1)
F.IF.C.7.c Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. ★
c. Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.
F.IF.C.9. Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). Supporting (Algebra 1)
Learning Objective
I can analyze cubic functions and their behaviors.
Practice Questions
This lesson includes 6 practice questions to reinforce learning.
View questions preview
1. What is the defining characteristic of a cubic function's equation, according to the video?
2. Explain in your own words why the "wiggle" is an important feature of a cubic graph.
3. How can you determine from the equation of a cubic function whether its graph will generally rise from left to right or fall from left to right?
...and 3 more questions
Educational Video
GCSE Maths - What are Cubic Graphs & How to Plot Them
Cognito