Unit Plan
Mathematics Vision Project

Module 2: Logarithmic Functions

For Students 9th - 12th Standards
Build a solid understanding of logarithmic functions and equations. Five lessons in the module begin by developing the concept of a logarithm. The next lessons address graphing logarithmic functions, logarithmic properties, and solving...
Worksheet
Curated OER

The Integration of Exponential Functions

For Students 11th - 12th
In this calculus instructional activity, students solve problems using integration. They solve exponential functions using differentiation formulas. There are 12 problems with an answer key.
Unit Plan
Mathematics Vision Project

Module 7: Modeling with Functions

For Students 9th - 12th Standards
The sky's the limit of what you create when combining functions! The module begins with a review of transformations of parent functions and then moves to combining different function types using addition, subtraction, and...
Assessment
Achieve

Spread of Disease

For Students 9th - 12th Standards
Viruses can spread like wildfire, and mathematics can model the speed of infection. Given a function, scholars analyze it to describe the spread of a disease within a stadium. Learners find the initial number infected and the maximum...
Unit Plan
Mathematics Vision Project

Module 1: Functions and Their Inverses

For Students 9th - 12th Standards
Nothing better than the original! Help your class understand the relationship of an inverse function to its original function. Learners study the connection between the original function and its inverse through algebraic properties,...
Unit Plan
Mathematics Vision Project

Module 1: Functions and Their Inverses

For Students 10th - 12th Standards
Undo a function to create a new one. The inverse of a function does just that. An inquiry-based lesson examines the result of reversing the variables of a function, beginning with linear patterns and advancing to 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
1
1
West Contra Costa Unified School District

Introduction to Inverse Functions

For Students 9th - 12th Standards
Ready to share the beauty of the inverse function with your classes? This algebra II lesson guides the discovery of an inverse function through a numerical, graphical, and an algebraic approach. Connections are made between the three,...
Worksheet
Curated OER

Calculating Arc Lengths of Simple Functions-I

For Students 10th - Higher Ed
In this calculating arc lengths worksheet, students are given 4 simple functions and they use the Pythagorean Theorem and the basic techniques of calculus to find the arc-length formula in order to find the arc-length.
Lesson Plan
Curated OER

Natural Logarithm

For Teachers 9th - 12th Standards
Young mathematicians solve problems of logs and natural logs. They graph functions of natural logs on the TI and relate integrals to natural logarithms.
Interactive
Curated OER

Logarithms For Analog Circuits

For Students 9th - Higher Ed
In this electric circuit learning exercise, students answer a series of 16 questions about logarithms and how they are used in understanding analog circuits. This learning exercise is printable and the answers are viewed on-line.
eBook
Rice University

Calculus Volume 1

For Students 11th - Higher Ed
Differentiate between calculus concepts. The beginning of a helpful calculus resource begins with a short review of functions and moves right into limits to define derivatives. The six-chapter resource continues with applications of...
Handout
Curated OER

Math Handbook: Calculus

For Students 10th - 12th
If only there was a reference that listed all the formulas covered in calculus. Luckily, there is. This comprehensive 197-page handbook provides formulas and explanations for all topics in AP Calculus or in a standard college calculus...
Worksheet
Curated OER

Integrating Special Functions

For Students 11th - Higher Ed
In this math activity, students practice reading the examples of integrating special functions. The examples have the formulas included.
Worksheet
Curated OER

Integrating Functions

For Students 6th - 8th
For this math worksheet, students find the answers to the functions that includes integration and trigonometry. They use the examples for help with the special functions.
Lesson Plan
Kenan Fellows

Half-Life

For Teachers 9th - 12th Standards
Scholars shake their way to understanding half-life with the help of candy. They observe and record which side candy lands on to graph the exponential decay in the fifth instructional activity of seven integrating chemistry and algebra....
Lesson Plan
Curated OER

Will Exams Be Cancelled?

For Teachers 8th - 11th Standards
If the flu outbreak continues, exams will have to be canceled. Investigate the properties of exponential and logarithmic functions. In this algebra lesson, students use the TI to examine and differentiate between exponential growth and...
Lesson Plan
Curated OER

Lesson #106 Logs and Long Division

For Teachers 12th
  Students investigate a method of evaluating integrals using long division.  In this calculus lesson, 12th graders examine a method of using long division to perform integration.  The lesson includes a bingo worksheet on...
Worksheet
Curated OER

Worksheet 28 - Spring 1996

For Students 11th - Higher Ed
In this math worksheet, students examine the graph in polar coordinates of r = f(θ). Then they sketch a graph of the modified functions indicated.
Worksheet
Curated OER

How Many Quasars Are There?

For Students 9th - 11th
In this quasars worksheet, students read about how astronomers can detect quasars by their luminosity. Students use a given equation to solve 4 problems including finding quasar magnitude, determining the number of quasars with given...
Worksheet
Curated OER

Precalculus Exam

For Students 11th - 12th
In this precalc lesson, learners write out definitions, identify functions, solve integrals and derivatives and graph trig functions as they relate to angles. This is a final exam for precalculus. There are 80 questions on this exam.
Lesson Plan
Curated OER

Differential Equations and Population Growth

For Teachers 9th - 10th
Students determine the size of the population at a given time. They calculate the time at which the population will be a given number. They observe how the population grows at the rate that is directly proportional to the number of...
Unit Plan
TeachEngineering

Teach Engineering: Bone Mineral Density and Logarithms

For Teachers 9th - 10th
Students examine an image produced by a cabinet x-ray system to determine if it is a quality bone mineral density image. Students write in their journals about what they need to know to be able to make this judgment. Students learn about...
Handout
University of California

University of California, Davis: The Calculus Page

For Students 9th - 10th Standards
This site, from the University of California, provides several problems from beginning differential calculus, as well as beginning integral calculus. The problems can be accessed by clicking on the link, and the information provided is...