Handout
Lawrence Hall of Science

The Math Page: Topics in Precalculus

For Students 9th - 10th Standards
Designed to help high school students to learn precalculus, topics include the formal rules of algebra, rational and irrational numbers and mathematical induction.
Activity
Windstream

Ojk's Pre Calculus Study Page

For Students 9th - 10th
This online tutorial explains different topics in pre-calculus. Offers helpful information to explain different concepts. Good for review.
Activity
Other

Calculus Preview

For Students 9th - 10th Standards
The resource gives students a preview of topics learned in Calculus. Concepts included are graphs, speed, and integration. Graphs, tables, and an interactive applet are used to investigate the examples.
Unknown Type
Other

Temple University: Calculus on the Web

For Students 9th - 10th
Calculus on the Web is a great site for Pre-Calculus or higher students who wish to "brush up" on their math skills. Topics vary greatly, and cover most of everything from Pre-Calculus to Calculus III and beyond. The site is a series of...
Interactive
Lawrence Hall of Science

The Math Page: Topics in Pre Calculus: Roots of Higher Degree Polynomial

For Students 9th - 10th Standards
Here is a site that clearly and thoroughly explains how to find the roots of polynomials of degree greater than two. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this...
Website
Massachusetts Institute of Technology

Mit: Calculus Index

For Students 9th - 10th Standards
This site from the Massachussets Institute of Technology has links to various topics in calculus.
Handout
Wolfram Research

Wolfram Math World: Calculus and Analysis

For Students 9th - 10th
Over two dozen links are provided at this MathWorld site. From Polynomials and Series to Dynamical Systems and Catastrophe Theory, each link provides in-depth explanations and relevant diagrams of the topics at hand.
Activity
Texas Instruments

Texas Instruments: Learning Pre Calculus With the Ti 89

For Teachers 9th - 10th
See examples of how to use the TI-89 in Pre-Calculus. Example topics include equations with radicals, trigonometric identities, composition of functions, and inverse functions.
Handout
Paul Dawkins

Paul's Online Notes: Calculus Cheat Sheet [Pdf]

For Students 9th - 10th
The study sheet consists of formulas and examples on concepts discussed in a Calculus course. Topics included are limits, derivatives, integrals, and applications.
Activity
Paul Dawkins

Paul's Online Notes: Calculus Ii: Parametric Equations and Polar Coordinates

For Students 9th - 10th
The resource examines parametric equations and polar coordinates. Topics investigated are parametric curves, area with parametric equations, arc length with polar coordinates, and surface area with polar coordinates. Class notes,...
Activity
Paul Dawkins

Paul's Online Notes: Calculus Ii: Vectors

For Students 9th - 10th Standards
The resource examines vectors and their properties. Topics investigated are vector, vector arithmetic, dot product, and cross product. Class notes, definitions, and examples with detailed solutions are included. The notes are available...
Unit Plan
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Systems of Two Linear Equations in Two Unknowns

For Students 9th - 10th Standards
The tutorial examines systems of two linear equations in two unknowns. Students learn about the concepts through class notes, examples, and practice problems. Topics include elimination method, infinitely many solutions, and no...
Activity
Paul Dawkins

Paul's Online Notes: Calculus I: Proof of Various Integral Properties

For Students 9th - 10th
The tutorial examines proofs of several properties of integrals. Topics discussed are the fundamental theorem of calculus, extreme value theorem, work, and mean value theorem. Class notes, proofs, and examples with detailed solutions are...
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
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.
Activity
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Applications of Maxima and Minima

For Students 9th - 10th
Students learn how to apply maxima and minima in real world problems. Topics include optimization problems, objective functions, and constraints. The tutorial explores the calculus concepts through notes and examples. A chapter quiz,...
Activity
Paul Dawkins

Paul's Online Notes: Calculus I: Review

For Students 9th - 10th Standards
Learners review the algebra and trigonometric skills needed in a Calculus course. Topics investigated are solving trigonometric equations, logarithmic functions, exponential functions, functions, and common graphs. Class notes,...
Activity
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Topic Summaries: Systems of Linear Equations and Matrices

For Students 9th - 10th Standards
The topic summary outlines systems of linear equations and matrices. Some topics reviewed are linear equations in two unknowns, augmented matrix, and Gauss Jordan row reduction. The resource consists of definitions, notes, and examples.
Unknown Type
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Review Exercises: Derivatives of Powers, Sums, and Constant Multiples

For Students 9th - 10th
Students review derivative rules. Topics include power, sum, and constant multiple rules. The resource consists of review exercises available in three different levels.
Unknown Type
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Review Exercises: Product and Quotient Rules

For Students 9th - 10th
Students review derivative rules. Topics include product and quotient rules. The resource consists of review exercises available in three different levels.
Activity
Paul Dawkins

Paul's Online Notes: Calculus I: Limits

For Students 9th - 10th
Learners explore limits. Topics investigated are continuity, limits at infinity, limit properties, tangent lines, and rates of change. Class notes, definitions, and examples with detailed solutions are included. The class notes are...
Activity
Paul Dawkins

Paul's Online Notes: Calculus I: Derivatives

For Students 9th - 10th
Learners examine derivatives. Topics investigated are product rule, chain rule, derivatives of trigonometric functions, the definition of the derivative, and related rates. Class notes, definitions, and examples with detailed solutions...
Activity
Paul Dawkins

Paul's Online Notes: Calculus I: Applications of Derivatives

For Students 9th - 10th
Learners examine applications of derivatives. Topics investigated are rates of change, the mean value theorem, optimization problems, critical points, linear approximations, and Newton?s method. Class notes, definitions, and examples...
Activity
Paul Dawkins

Paul's Online Notes: Calculus I: Integrals

For Students 9th - 10th
The tutorial investigates integrals. Topics discussed are indefinite integrals, area problems, definite integrals, and the substitution rule. Class notes, definitions, and examples with detailed solutions are included. The class notes...