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College Board
Vectors: A Curriculum Module for AP® Calculus BC
It is all in a matter of time. The model curriculum module uses parametric equations and vectors to solve problems dealing with particle motion along a curve. At the beginning of the lesson, the unit reviews parametric equations and...
Mathematics Vision Project
Module 4: Linear and Exponential Functions
Sequences and series are traditionally thought of as topics for the pre-calculus or calculus class, when learners are figuring out how to develop limits. But this unit uses patterns and slopes of linear functions in unique ways...
Mathematics Vision Project
Quadratic Equations
Through a variety of physical and theoretical situations, learners are led through the development of some of the deepest concepts in high school mathematics. Complex numbers, the fundamental theorem of algebra and rational exponents...
Mathematics Vision Project
More Functions, More Features
Learners tackle a wide range of intimidating topics in this comprehensive unit that spans piecewise functions, absolute value of functions, and inverse functions (among other topics). Investigative group work alternates with more...
Other
Calculus help.com: Tutorials for the Calculus Phobe
A dozen interactive tutorials are what help make the basics of calculus more clear for those students who need additional explanation. Clear directions, simple examples, and interesting graphics are all part of this resource.
CK-12 Foundation
Ck 12: Calculus: Volume by Cross Section
[Free Registration/Login may be required to access all resource tools.] This tutorial explains how to calculate the volume of various solids using the 'slicing' method and then deriving a formula for each solid. It goes on to discuss...
New York Times
New York Times: Steven Strogatz on the Elements of Math Series the New York Times
[Free Registration/Login Required] On this site, Cornell University mathematics professor, Steven Strogatz, shares his 15-part series of columns on the elements of math. He investigates topics ranging from negative numbers to subtraction...
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Exponential Functions and Models
The resource investigates exponential functions and models. Students learn about the concepts through notes and examples. A chapter quiz, review exercises, and chapter summary are included.
Math TV
Math tv.com: Calculus: Limits
Students learn how to apply the definition of a limit. The learning resource consists of video tutorials with detailed examples. In the left hand menu, click on Calculus, Limits.
Mathematics Archives
Math Archives: Visual Calculus: Mean Value Theorem
This site provides an explanation as well as formulas and examples of the mean value theorem.
Mathematics Archives
Math Archives: Visual Calculus: Maxima and Minima
Very good site explaining the maxima and minima. The site has examples and definitions along with links to help the student through the process.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Limits: Numerical Approach
The resource investigates numerical approaches to limits. Topics examined are the definition of a limit and estimating limits numerically. Students learn about the calculus concepts through notes and examples.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Limits: Graphical Approach
The resource investigates how to estimate limits graphically. Students learn about the calculus concepts through notes and examples.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Inverse Functions
The resource investigates inverse functions. Topics examined are domain, range, one-to-one functions, graphing inverse functions, finding inverse functions algebraically, and logarithmic and exponential functions. Students learn about...
Lawrence Hall of Science
The Math Page: An Approach to Calculus: Limits
Here is a site that clearly and thoroughly explains the concept of limits, including one-side limits, the limit of a function, and the definition of limit. There are example problems solved, problems for the student to attempt, and...
Mathematics Archives
Math Archives: Visual Calculus: Differentiation Formulas
This site gives the definition of a derivative, discusses the derivative of a constant function, gives general operations to use on functions with derivatives (scalar multiplication, addition, and the power rule). The site has multiple...
Mathematics Archives
Math Archives: Visual Calculus: Definition of Limits
This site gives the definition of a limit and many examples of finding delta given an epsilon to help clarify the process.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Volume Equations for a Sphere and Pyramid
This site uses calculus to explain how the formulas for finding the volume of a sphere and a pyramid were derived.
CK-12 Foundation
Ck 12: Analysis: Definition of a Limit
[Free Registration/Login may be required to access all resource tools.] In this lesson students are given an introduction to the concept of limit and the origins of Calculus. Students examine guided notes, review guided practice, watch...
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Linear Functions and Models: Basics: Slope and Intercept
A mathematics tutorial that allows you to interactively learn and manipulate the slope and intercepts of a line.
Analyze Math
Analyze Math: Find Limits of Functions in Calculus
Students learn about the limits of functions using a variety of different method. The resource consists of practice exercises and examples with solutions.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Rational Algebraic Expressions
The tutorial investigates rational algebraic expressions. Students learn about the concept through class notes, examples, and practice problems.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Equations
The tutorial investigates how to solve polynomial equations. Students learn about the concept through class notes, examples, and practice problems.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Polynomial Equations
The tutorial investigates how to solve polynomial equations. Students learn about the concept through class notes, examples, and practice problems. Topics include solving quadratic equations, factoring, and the quadratic formula.
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