Algebraic Function Teacher Resources

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Lesson Plan
Virginia Department of Education

Functions 2

For Teachers 8th - 10th Standards
Demonstrate linear and quadratic functions through contextual modeling. Young mathematicians explore both types of functions by analyzing their key features. They then relate these key features to the contextual relationship the function...
Worksheet
Math Guy

Algebra 2 Practice Final

For Students 9th - 12th Standards
Work out to Algebra II with the 50-question activity that practices different types of functions. Multiple choice questions focus on topics such as rational, radical, and logarithmic functions. The resource comes with a printed answer...
Instructional Video
Curated OER

Find Zeros of a Function Given the Graph

For Students 8th - 11th Standards
Introduce zeros of a function and their relationship to the graph of the function. an informative video uses the definition of a zero to help identify them on a graph and provides several examples of finding the zeros of a...
Lesson Plan
Chicago Teachers Union Quest Center

Factored Form of a Quadratic Function

For Teachers 9th - 12th Standards
Build upon linear functions to learn about quadratics. The lesson introduces the concept of zeros for quadratic functions and makes the connection to the linear factors of the function. It presents quadratics in both graphical and...
Lesson Plan
EngageNY

Linear and Nonlinear Expressions in x

For Teachers 8th Standards
Linear or not linear — that is the question. The lesson plan has class members translate descriptions into algebraic expressions. They take the written expressions and determine whether they are linear or nonlinear based upon the...
PPT
University of North Texas

Graphing Piecewise Functions

For Students 9th - 12th Standards
Piecewise functions are the hodge-podge of algebra. Here, pupils watch as each graph is created and then pieced together to make a function. The first example creates a graph step-by-step, while the second problem posts a graph...
Instructional Video16:46
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3Blue1Brown

Abstract Vector Spaces | Essence of Linear Algebra, Chapter 11

For Students 11th - Higher Ed
Take the principles of vectors and apply them to other things that act like vectors. The last video in the series of 15 introduces the more abstract aspects of linear algebra, making the connection back to the vector concepts discussed...
Lesson Plan
Virginia Department of Education

Functions: Domain, Range, End Behavior, Increasing or Decreasing

For Students 9th - 12th Standards
Examine key features of various functions through exploration. A comprehensive lesson has learners describe the domain, range, end behavior and increasing/decreasing intervals of various functions. Function types include linear,...
Lesson Plan
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Virginia Department of Education

Rational Functions: Intercepts, Asymptotes, and Discontinuity

For Students 10th - 12th Standards
Discover different patterns by making connections between a rational function and its graph. An engaging lesson asks scholars to explore the behavior of different rational functions. Groups discover a connection between the function...
Lesson Plan
Virginia Department of Education

Functions 1

For Teachers 8th - 10th Standards
Scholars learn what it means for a relation to be a function and see various representations of functions. After learning the definition, they participate in a card sorting activity classifying relations as functions or not.
Lesson Plan
EngageNY

Comparing Linear Functions and Graphs

For Students 8th Standards
How can you compare linear functions? The seventh installment of a 12-part module teaches learners how to compare linear functions whose representations are given in different ways. They use real-world functions and interpret features in...
Interactive
Shodor Education Foundation

Function Machine

For Students 6th - 9th Standards
Machines can be so helpful sometimes. A simple interactive has learners enter input values for a function machine and observe output values. These values help determine a function that represents the input-output relationship in the...
Lesson Plan
Mathematics Assessment Project

Representing Quadratic Functions Graphically

For Teachers 9th - 12th Standards
Sometimes being different is an advantage. An engaging activity has scholars match cards with quadratic functions in various forms. Along the way, they learn about how each form highlights key features of quadratic functions.
Activity
Curated OER

Algebra 2 Desmos Graphing Project

For Teachers 9th - 12th Standards
Encourage class members to get creative with functions. Pairs write their names and draw pictures using a graphing application with a collaborative graphic project. The resource provides the requirements for the project, as well as a...
Lesson Plan
EngageNY

Which Real Number Functions Define a Linear Transformation?

For Teachers 11th - 12th Standards
Not all linear functions are linear transformations, only those that go through the origin. The third lesson in the 32-part unit proves that linear transformations are of the form f(x) = ax. The lesson plan takes another look at examples...
Lesson Plan
EngageNY

The Concept of a Function

For Students 8th Standards
Explore functions with non-constant rates of change. The first installment of a 12-part module teaches young mathematicians about the concept of a function. They investigate instances where functions do not have a constant rate of change.
Unit Plan
Mathematics Vision Project

Quadratic Functions

For Teachers 10th - 12th Standards
Inquiry-based learning and investigations form the basis of a deep understanding of quadratic functions in a very thorough unit plan.  Learners develop recursive and closed methods for representing real-life situations,...
Instructional Video4:42
Mathispower4u

Determine If a Function Is Odd, Even, or Neither (Example 1)

For Students 8th - 11th Standards
Here's a hint: look at the exponents. Scholars watch a video that shows two examples of how to algebraically prove whether a function is even or odd. They then see how the exponents in a polynomial function relate to the determination.
Interactive
GeoGebra

GeoGebra Graphing Calculator

For Students 9th - Higher Ed Standards
So, exactly, what does it look like? The easily usable graphing calculator allows pupils to visualize the graph of equations and inequalities. The interactive supports any algebraic graph needed for high school mathematics and then some.
Lesson Plan
Curated OER

Algebra Nomograph

For Teachers 9th - 12th Standards
Investigation of a nomograph teaches learners to determine the rule of a function by examining the input and output values.  Students use a nomograph on their Ti-Nspire to determine the function rule.  Learners make a scatter...
Instructional Video2:29
FuseSchool

Inverse Functions

For Students 9th - 12th Standards
What's the opposite of a function? Viewers of the video learn how to find the inverse of a function. The method of choice here is switching x and y in the algebraic representation.
Instructional Video3:36
Curated OER

What is a Parent Function?

For Teachers 8th - 11th
This video defines the term parent function. It shows how to find the parent function of a set of quadratic functions and a separate set of linear functions.
Lesson Plan
Curated OER

Function Composition

For Teachers 9th - 12th Standards
Students solve two functions at once. In this algebra lesson, students add, subtract, multiply and divide composition functions. They use the correct notation and substitution to get their answer.
Lesson Plan
Curated OER

Exponential Functions f(x) = abx

For Teachers 9th - 12th Standards
Young scholars define exponential functions and graph the equation. In this algebra lesson plan, students discuss exponential growth and decay as they graph their functions. They differentiate between the base of growth and decay.

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