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Consortium for Mathematics and its Applications

calculus is required, and understanding is required, and change is required

Tools of the Trade: Unit 8: More on Growing Degree Days

Unit 8: More on Growing Degree Days: Purpose of Unit: To give more exercises on growing degree days; to give practice in interpreting conceptual, qualitative, and quantitative information from graphs and tables. There are two sets of student pages, the...

Rates of Change

Most physical quantities change. The speed of a car changes with time; the size of a tumor changes with the quantity of radiation applied to it; and the price of oil changes as the supply of oil changes. Webster's New World Dictionary defines the word...

Tools of the Trade: Unit 3: Washington Apples

Unit 3: Unit Washington Apples: Purpose of Unit: To give some elementary conversion problems associated with apple production; to give some physical interpretations for first and second derivatives, (these problems are found on a supplementary...

Tools of the Trade: Unit 1: Unit Conversions

Unit 1 : Unit Conversions: Purpose of Unit: To show students a systematic way to work any kind of conversion problem and to teach and review some conversion units. Note: The information below was created with the assistance of AI. 1. Level of...

Tools of the Trade: Unit 10: Growth of Wheat

Unit 10: Growth of Wheat: Purpose of Unit: To provide exercises in ratio and proportion and percentages through interpretation of graphical information. Note: The information below was created with the assistance of AI. Level of Mathematics Target...

The Mathematics of a Soda Pop Can

This HiMAP Pull-Out Section explores the mathematics behind how a company chooses the size and shape of its product container. Is the can the most efficient shape for the product? Is the container the cheapest way the company can make its product? Tum...

Bending Light and Snell's Law

Light bends! Light travels at different speeds through different substances and changes direction as it changes speed. A pole lowered into a pool of water appears to bend. A man standing in waist-deep water appears shorter. In this Pull-Out Lesson, we...

Checks, Check Digits, and Check Codes

Students in the classroom often hear, "Check your work!" Outside of the classroom, you are also confronted with situations where you check your work or the work of others. At the store, you check to make sure that you receive the correct change; a...

Video Library

guide with reproducible student exercises and quizzes. Click here to view the videos, or for more information. Calculus: Understanding Change How do doctors and pharmacologists use calculus to prescribe drugs? How do engineers use area, volume, and...

Chloroform Alert! (ILAP)

AAA Chemical Inc. operates two chemical plants in the town of Bayou St. Edwards, home of Dixieland State University. New pollution monitoring equipment has shown elevated concentrations of chloroform in the air over the university. These concentrations...

Tools of the Trade: Unit 4: Erosion Problems

Unit 4: Unit Erosion Problems: Purpose of Unit: To provide exercises in interpretation of visually displayed information; to provide some simple conversion exercises which are appropriate for calculator use; to reinforce the concept of average. Note:...

The Force of Interest (UMAP)

The purpose of this module is to give students an: 1) appreciation for a natural connection between exponential functions and compound interest; 2) application of the derivative in a non-science situation; and 3) understanding of the terms used in...