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.
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

Mathematical Wackie Wordies

For Students 9th
For this word worksheet, 9th graders examine pictures and write a mathematical phrase to describe the picture.  This one-page worksheet contains 25 problems.  Answers are provided.
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...
Activity
Math2

Math2.org: Table of Integrals

For Students 9th - 10th
Seven tables are provided which give the rules for integrating powers of x, exponential and logarithmic integrals, trigonometric integrals, and hyperbolic integrals. Very detailed step-by-step proofs are given for some of the more...
Activity
Interactive Mathematics

Interactive Mathematics: Basic Logarithmic Form of Integration

For Students 9th - 10th
The derivative of logarithms is used to allow the power formula for integrals to be used in special cases. Several examples are provided to show how this is accomplished.
Activity
Analyze Math

Analyze Math: Integral Form of the Definition of Natural Logarithm Ln(x)

For Students 9th - 10th
The applet examines the definition of the natural logarithm ln(x).
Activity
University of California

University of California: Integrals and the Natural Log

For Students 9th - 10th Standards
This site explains the natural log and its integral. Includes examples.
Lesson Plan
TeachEngineering

Teach Engineering: Common and Natural Logarithms and Solving Equations

For Teachers 9th - 10th Standards
Students continue an examination of logarithms in the Research and Revise stage by studying two types of logarithms--common logarithms and natural logarithm. In this study, they take notes about the two special types of logarithms, why...
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...
Lesson Plan
TeachEngineering

Teach Engineering: Bone Density Math and Logarithm Introduction

For Teachers 9th - 10th
This project shows the connection between engineering, science and math by having students learn the equation needed to calculate bone mineral density. Lesson includes an explanation of the equation as well as practice problems and a quiz.
Activity
Interactive Mathematics

Interactive Mathematics: The General Power Rule

For Students 9th - 10th
Using the power rule, integration is applied to trigonometric and logarithmic functions. Several examples demonstrate the process with detailed solutions.
eBook
Hofstra University

Hofstra University: Calculus Applied to the Real World

For Students 9th - 10th Standards
This is a very nice layout of information relative to Calculus. The page is divided into various topics each containing a quiz over the material, topic summary, review problems, and on line tools to help with the topic. The topics of the...
Activity
TeachEngineering

Teach Engineering: Linear Regression of Bmd Scanners

For Teachers 9th - 10th
Students complete an exercise showing logarithmic relationships and examine how to find the linear regression of data that does not seem linear upon initial examination. They relate number of BMD scanners to time.
Activity
TeachEngineering

Teach Engineering: Light Intensity Lab

For Teachers 9th - 10th
Students complete this Beer's Law activity in class. Students examine the attenuation of various thicknesses of transparencies. From this activity, students will understand that different substances absorb light differently. This can...
Handout
Math2

Math2.org: Series Expansions

For Students 9th - 10th
A thorough review of calculus series. Links direct the student to the basic properties of series, as well as to explanations and examples of convergence tests in series. The expansions for exponential, logarithmic, and root functions and...
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...
Website
Math Medics

S.o.s. Math: Calculus

For Students 9th - 10th Standards
This lesson has links to the various topics dealing with calculus. The student just needs to find the topic then click to go to it.
Handout
University of Manchester

Umist: Mathematical Formula Tables

For Students 9th - 10th
This site has links to tables of mathematical formulas. To view them, the student must download the formulas in pdf format.
Handout
Other

Wpi: Exponential Decay and Effective Medicine Dosage

For Students 9th - 10th Standards
This site is an example of the use of exponential decay. The example involves the effectiveness of a medical dosage over time.
Graphic
Curated OER

Integrated Publishing: Common Logarithms

For Students 9th - 10th
Integrated Publishing offers this excellent page specifically on common logarithms.
Graphic
Curated OER

Integrated Publishing: Common Logarithms

For Students 9th - 10th
Integrated Publishing offers this excellent page specifically on common logarithms.
Graphic
Curated OER

Integrated Publishing: Common Logarithms

For Students 9th - 10th
Integrated Publishing offers this excellent page specifically on common logarithms.
Activity
Texas Instruments

Texas Instruments: What Is the Number "E"?

For Teachers 9th - 10th Standards
In this activity, students explore the fundamental theorem of calculus. They apply this theorem to understand the number "e" - the base of the natural logarithm. They also use integration and natural logarithmic function to solve a...