Lesson Plan
K20 LEARN

Family Ties: Exploring Families OF Functions

For Teachers 11th - 12th Standards
They say it runs in the family. Small groups use a card sorting activity to group graphs of functions into families. After grouping by families, the class develops conclusions for parent functions and create a graphic organizer.
Unit Plan
Radford University

Transformational Graphing in the Real World: Bacteria – Growth or Decay?

For Teachers 9th - 12th Standards
Grow—not decay—your knowledge of exponential functions. Young mathematicians graph exponential functions and explore how transformations affect the graphs. They decide whether the functions represent growth or decay in the context of...
Interactive
CK-12 Foundation

Sine Graph and Cosine Graph: Changing Amplitude

For Students 10th - 12th Standards
Scholars manipulate the amplitude of the graphs of sine and cosine, notice how the change in amplitude is reflected in their graphs, and answer several questions about the concept they noticed.
Interactive
CK-12 Foundation

Inverse Functions: Definition of Inverse Functions

For Students 11th - Higher Ed Standards
Is the inverse of a function also a function? Pupils manipulate the graph of a function to view its inverse to answer this question. Using a horizontal and vertical line, class members determine whether the initial function is...
Interactive
CK-12 Foundation

Changes in Period and Amplitude of the Sine Function

For Students 10th - 12th Standards
How does a change in amplitude or period affect the equation of a sine function? Scholars move sliders to change the frequency and period of the sine function. The interactive displays the resulting equation, and pupils determine the...
Instructional Video24:44
2
2
Flipped Math

Sketching Polynomial Functions

For Students 9th - 12th Standards
Provide a sketch of the suspect. Scholars see how to use the key aspects they know about polynomials to create a sketch of the graph. Learners factor to calculate the zeros by factoring, find the end behavior, and determine the...
Interactive
CK-12 Foundation

Quadratic Functions and Equations

For Students 9th - 12th Standards
The form of a quadratic function paints a picture of its graph. Young mathematicians explore this connection by locating key features on a graph and then writing the corresponding equations. The interactive tutorial highlights key...
Interactive
CK-12 Foundation

Quadratic Functions and Their Graphs: Soccer Ball Trajectory

For Students 9th - 12th Standards
Determine critical points in the flight of a soccer ball. Pupils use an interactive resource to find the vertex and x-intercepts of the graph of the trajectory of a soccer ball after being kicked. Scholars investigate the trajectory...
Interactive
CK-12 Foundation

Translating Sine and Cosine Functions: Translating Sine

For Students 10th - 12th Standards
Learn how to slide sine back and forth and up and down. Pupils move the starting point of a graph of sine vertically and horizontally. They investigate the changes to the equation of the graph in relationship to the translation. They...
Interactive
CK-12 Foundation

Domain and Range of a Function: Making Money Math

For Students 8th Standards
Graphs are useful for many things, including seeing how much money you can make. Individuals create a graph of earnings from a job based on the number of hours. They determine the domain and range of the graph and answer challenge...
Interactive
CK-12 Foundation

Existence: One-to-One Functions and Inverses

For Students 11th - Higher Ed Standards
One-to-one means the answer is simple, right? Given four graphs, pupils use a vertical line to test each graph to find out if they are one-to-one. By using the resource, learners realize that not all one-to-one relations are functions....
Unit Plan
Mathematics Vision Project

Module 4: Polynomial Functions

For Students 10th - 12th Standards
Bridge the gap between graphical and algebraic representations. Learners complete six lessons that begin by pointing out connections between the key features of a polynomial graph and its algebraic function. Later, pupils use the...
Instructional Video27:46
2
2
Flipped Math

Transformations of Functions, Pt. 2

For Students 9th - 12th Standards
Workout with stretches and compressions. Scholars view what happens to the graph when multiplying a function by a number. Learners combine stretches and compressions with translations before practicing the newly learned skill by pausing...
Interactive
CK-12 Foundation

Vertical Translations: Vertical Shift of Sinusoidal Functions

For Students 10th - 12th Standards
Create a shift in TV viewing habits. The interactive presents a cosine model of an individual's TV viewing habits during a year. Class members move the model to reflect given conditions. Finally, they determine key features from the...
Unit Plan
Radford University

Transformational Graphing in the Real World: Air Traffic Control

For Teachers 9th - 12th Standards
You're cleared to learn about absolute value functions. An interesting lesson has scholars investigate transformations of the graphs of absolute value functions. They look at air traffic control as an application of the concept.
Lesson Plan
EngageNY

End Behavior of Rational Functions

For Teachers 11th - 12th Standards
Connect end behavior to previous learning. Pupils connect finding the end behavior of rational functions to finding end behavior of polynomial functions. The 13th segment in a 23-part unit starts with finding the end behavior or power...
Interactive
CK-12 Foundation

Definition of Inverse Functions

For Students 11th - Higher Ed Standards
Investigate the definition of inverse functions graphically. Using the interactive, scholars create a graph of a function and view its resulting inverse. They then determine whether a group of functions have inverses that are also...
Interactive
CK-12 Foundation

Linear and Non-Linear Function Distinction: Domain and Range of a Function

For Students 8th Standards
Functions are special types of relations, but what makes them so special? Pupils use an interactive to slide a vertical line across six different graphs. Ten challenge questions then assess understanding of functions.
AP Test Prep12:33
1
1
Flipped Math

Calculus AB/BC - Determining Intervals on Which a Function is Increasing or Decreasing

For Students 10th - 12th
Going up? Wait, it might be going down! Learners watch a video to see how to use the derivative and critical points to find where a function is either increasing or decreasing. Individuals use the rate of change to solve real-world...
Lesson Plan
EngageNY

Inverse Functions

For Teachers 11th - 12th Standards
Undo the functions. Learners refresh their knowledge of inverses of functions from Algebra II in the 19th section of a 23-part Precalculus unit. Pupils look at inverses in tables and graphs. They then add to their understanding of...
Performance
Radford University

Fuel Efficient Function Activity

For Teachers 9th - 12th Standards
Pupils research the five most fuel efficient vehicles of the same type and come up with a way to display the mile per gallon for each vehicle. After choosing a vehicle, scholars create graphs to display miles traveled given the amount of...
Lesson Plan
Curated OER

Graphing Quadratic Functions

For Teachers 9th - 10th
In this math worksheet, learners write 8 equations of the axis of symmetry and find the coordinates of each quadratic function. Students graph 4 of the equations and state if the vertex is maximum or minimum.
Worksheet
Curated OER

Graphing Functions

For Students 9th - 12th
For this graphing functions worksheet, students write functions in logarithmic and exponential forms.  They evaluate logarithms and determine the inverse of a function.  Students graph functions.  This six-page worksheet...
Lesson Plan
Utah Education Network (UEN)

Linear Relationships: Tables, Equations, and Graphs

For Teachers 7th - 8th Standards
Pupils explore the concept of linear relationships. They discuss real-world examples of independent and dependent relationships. In addition, they use tables, graphs, and equations to represent linear relationships. They also use ordered...

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