Lesson Plan
EngageNY

Graphing the Logarithmic Function

For Teachers 10th - 12th Standards
Teach collaboration and communication skills in addition to graphing logarithmic functions. Scholars in different groups graph different logarithmic functions by hand using provided coordinate points. These graphs provide the basis for...
Lesson Plan
EngageNY

Translating Graphs of Functions

For Students 9th - 10th Standards
If you know one, you know them all! Parent functions all handle translations the same. This instructional activity examines the quadratic, absolute value, and square root functions. Pupils discover the similarities in the behavior of the...
Lesson Plan
Alabama Learning Exchange

Building Functions: Inverse Functions from Tables and Graphs

For Students 9th - 12th Standards
Is the inverse a function? Scholars learn how to examine a function to answer this question. Using an online interactive, they examine the properties of inverse functions to compare to the original function.
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 lesson plan 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...
Activity
Houston Area Calculus Teachers

Related Rates

For Students 11th - Higher Ed
Use a hands-on approach to exploring the concepts of related rates in your AP Calculus class. Individuals explore the effect of the rate of change on a variable related to a variable they control. After analyzing the data they...
Lesson Plan
EngageNY

Four Interesting Transformations of Functions (Part 4)

For Students 9th - 10th Standards
What do you get when you cross piecewise functions with transformations?  An engaging lesson! The conclusion of a four-part series on the transformations of functions asks class members to apply transformations to piecewise...
Assessment
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Balanced Assessment

Function or Not?

For Students 9th - 12th Standards
Is it possible for an equation to be a function and not a function at the same time? By completing a short assessment, young mathematicians answer this question. Class members provide an explanation on how an equation represents a...
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
Virginia Department of Education

Composition of Functions

For Students 10th - 12th Standards
Analyze functions by decomposing complex functions and composing simple functions. Through a detailed lesson plan, pupils learn the vocabulary and notation related to the composition of functions. Practice includes both evaluating and...
Lesson Plan
Curated OER

Matchstick Math: Using Manipulatives to Model Linear, Quadratic, and Exponential Functions

For Teachers 9th - 10th
Playing with matches (unlit, of course) becomes an engaging learning experience in this fun instructional unit. Teach pupils how to apply properties of exponential functions to solve problems. They differentiate between quadratic and...
Handout
University of Notre Dame

The Natural Exponential Function

For Students 11th - 12th Standards
Ready to apply the concepts related to the natural exponential equations and logarithmic equations? A math lesson reviews concepts from inverse properties to solving to derivatives and integrals. 
Lesson Plan
EngageNY

The Graph of a Function

For Teachers 9th - 10th Standards
Mathematics set notation can be represented through a computer program loop. Making the connection to a computer program loop helps pupils see the process that set notation describes. The activity allows for different types domain and...
Lesson Plan
Virginia Department of Education

Factors, Zeros, and Solutions

For Students 9th - 12th Standards
Factors, zeros, and solutions, oh my! Don't let your classes become overwhelmed with the vocabulary. An engaging lesson plan helps learners make a connection between factors, zeros, and solutions. Pupils explore the relationship between...
Unit Plan
Mathematics Vision Project

Connecting Algebra and Geometry

For Teachers 9th - 10th Standards
Connect algebra and geometry on the coordinate plane. The eighth unit in a nine-part integrated course has pupils develop the distance formula from the Pythagorean Theorem. Scholars prove geometric theorems using coordinates...
Lesson Plan
EngageNY

Waves, Sinusoids, and Identities

For Teachers 11th - 12th Standards
What is the net effect when two waves interfere with each other? The lesson plan answers this question by helping the class visualize waves through graphing. Pupils graph individual waves and determine the effect of the interference...
Lesson Plan
Curated OER

Scrutinizing Stand-Ins: Working With Nouns and Pronouns

For Teachers 6th - 8th Standards
Use the Schoolhouse Rock episode, "Rufus Xavier Sarsaparilla," to introduce a study of pronouns. Learners consider antecedents, cases (nominative, objective and possessive), as well as types of pronouns, and then craft sentences using...
Worksheet
University of Kansas

Exponential and Logarithm Problems

For Students 9th - 12th Standards
This worksheet manages to provide both fun and serious work solving exponential and logarithmic application problems in engaging story lines and real-life situations. A strong emphasis on science applications and numbers pulled...
Lesson Plan
Willow Tree

Direct and Inverse Variations

For Students 7th - 10th Standards
Enhance pupil understanding of proportions and variable relationships by studying direct and inverse variation. Use the idea of a proportional relationship to teach direct variation. Then use a similar pattern to help individuals...
Lesson Plan
Curated OER

Graphs and Transformations of Functions

For Teachers 8th - 10th
Is it possible to solve quadratic equations by factoring? It is, and your class will graph quadratic equation and functions too. They perform transformation on their graphs showing increasing and decreasing intervals, domain, and range....
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

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.
Lesson Plan
Perkins School for the Blind

Stuff, Seal and Stamp Mail

For Teachers 9th - 12th
Have your class practice functional skills that can be applied to a wide variety of job opportunities. They will use a folding jig to help them fold, stuff, seal, stamp, and mail letters. High schoolers with visual impairments will build...
Lesson Plan
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Constitutional Rights Foundation

Unauthorized Immigration and the US Economy

For Teachers 9th - 12th Standards
As part of a study of immigration and the U.S. economy, class members assume the role of newspaper editors to determine which submitted letters to print on their paper's editorial page to present a balanced view of the debate.
AP Test Prep8:02
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Flipped Math

Calculus AB/BC - Connecting Differentiability and Continuity

For Students 10th - 12th
Despite what you thought, you can differentiate between continuity and differentiability. Using a short lesson, pupils learn how differentiability and continuity relate to each other. It provides three descriptions of when a function is...

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