Unit Plan
College Board

Vectors: A Curriculum Module for AP® Calculus BC

For Students 10th - 12th
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...
Unit Plan
Mathematics Vision Project

Module 4: Linear and Exponential Functions

For Teachers 8th - 10th Standards
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...
Unit Plan
2
2
Mathematics Vision Project

Quadratic Equations

For Teachers 10th - 12th Standards
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...
Unit Plan
Mathematics Vision Project

More Functions, More Features

For Teachers 10th - 12th Standards
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...
Unit Plan
Other

Calculus help.com: Tutorials for the Calculus Phobe

For Students 9th - 10th
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.
Unit Plan
CK-12 Foundation

Ck 12: Calculus: Volume by Cross Section

For Students 10th - 12th Standards
[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...
Unit Plan
New York Times

New York Times: Steven Strogatz on the Elements of Math Series the New York Times

For Students 9th - 10th
[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...
Unit Plan
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Exponential Functions and Models

For Students 9th - 10th Standards
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.
Unit Plan
Math TV

Math tv.com: Calculus: Limits

For Students 9th - 10th
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.
Unit Plan
Mathematics Archives

Math Archives: Visual Calculus: Mean Value Theorem

For Students 9th - 10th
This site provides an explanation as well as formulas and examples of the mean value theorem.
Unit Plan
Mathematics Archives

Math Archives: Visual Calculus: Maxima and Minima

For Students 9th - 10th Standards
Very good site explaining the maxima and minima. The site has examples and definitions along with links to help the student through the process.
Unit Plan
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Limits: Numerical Approach

For Students 9th - 10th
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.
Unit Plan
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Limits: Graphical Approach

For Students 9th - 10th
The resource investigates how to estimate limits graphically. Students learn about the calculus concepts through notes and examples.
Unit Plan
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Inverse Functions

For Students 9th - 10th Standards
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...
Unit Plan
Lawrence Hall of Science

The Math Page: An Approach to Calculus: Limits

For Students 9th - 10th
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...
Unit Plan
Mathematics Archives

Math Archives: Visual Calculus: Differentiation Formulas

For Students 9th - 10th
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...
Unit Plan
Mathematics Archives

Math Archives: Visual Calculus: Definition of Limits

For Students 9th - 10th
This site gives the definition of a limit and many examples of finding delta given an epsilon to help clarify the process.
Unit Plan
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Volume Equations for a Sphere and Pyramid

For Students 9th - 10th Standards
This site uses calculus to explain how the formulas for finding the volume of a sphere and a pyramid were derived.
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Definition of a Limit

For Students 11th - 12th
[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...
Unit Plan
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Linear Functions and Models: Basics: Slope and Intercept

For Students 9th - 10th Standards
A mathematics tutorial that allows you to interactively learn and manipulate the slope and intercepts of a line.
Unit Plan
Analyze Math

Analyze Math: Find Limits of Functions in Calculus

For Students 9th - 10th
Students learn about the limits of functions using a variety of different method. The resource consists of practice exercises and examples with solutions.
Unit Plan
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Rational Algebraic Expressions

For Students 9th - 10th Standards
The tutorial investigates rational algebraic expressions. Students learn about the concept through class notes, examples, and practice problems.
Unit Plan
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Equations

For Students 9th - 10th Standards
The tutorial investigates how to solve polynomial equations. Students learn about the concept through class notes, examples, and practice problems.
Unit Plan
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Polynomial Equations

For Students 9th - 10th
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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