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Mathematics Vision Project
Module 2: Logarithmic Functions
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...
Curated OER
The Integration of Exponential Functions
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.
Mathematics Vision Project
Module 7: Modeling with Functions
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...
Achieve
Spread of Disease
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...
Mathematics Vision Project
Module 1: Functions and Their Inverses
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,...
Mathematics Vision Project
Module 1: Functions and Their Inverses
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...
University of Notre Dame
The Natural Exponential Function
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.
West Contra Costa Unified School District
Introduction to Inverse Functions
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,...
Curated OER
Calculating Arc Lengths of Simple Functions-I
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.
Curated OER
Natural Logarithm
Young mathematicians solve problems of logs and natural logs. They graph functions of natural logs on the TI and relate integrals to natural logarithms.
Curated OER
Logarithms For Analog Circuits
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.
Rice University
Calculus Volume 1
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...
Curated OER
Math Handbook: Calculus
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...
Curated OER
Integrating Special Functions
For this math worksheet, students practice reading the examples of integrating special functions. The examples have the formulas included.
Curated OER
Integrating Functions
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.
Kenan Fellows
Half-Life
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....
Curated OER
Will Exams Be Cancelled?
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...
Curated OER
Lesson #106 Logs and Long Division
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...
Curated OER
Worksheet 28 - Spring 1996
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.
Curated OER
How Many Quasars Are There?
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...
Curated OER
Precalculus Exam
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.
Curated OER
Differential Equations and Population Growth
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...
TeachEngineering
Teach Engineering: Bone Mineral Density and Logarithms
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...
University of California
University of California, Davis: The Calculus Page
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...