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PBL Pathways
Total Cost to Produce the Turbo Blender
Class members blend their knowledge of functions and problem-solving skills to provide business advice to the Turbo Blender manufacturers. Through a project-based approach, learners examine marginal cost data to produce a function....
PBL Pathways
Lake Pollution
Explain the timing of a lake cleanup to the EPA using calculus. A project-based learning opportunity has learners compare rate functions to compute a total change. Their solutions explain the time needed to rid a lake of pollutants.
Houston Area Calculus Teachers
Related Rates
Use a hands-on approach to exploring the concepts of related rates in your AP Calculus class. Individuals explore the effect of the rate of change on a variable related to a variable they control. After analyzing the data they...
Houston Area Calculus Teachers
Polynomial Graphing
Your AP Calculus learners probably have their ID numbers memorized, but have they tried graphing them? Pique your pupils' interest by asking each to create a unique polynomial function based on their ID numbers, and then analyze the...
Houston Area Calculus Teachers
Collecting Driving Data
Give AP Calculus classes the opportunity to check the accuracy of their calculations! A calculus activity involves the collection of data, the application of mathematics, and the analysis of the accuracy of results. Young mathematicians...
Houston Area Calculus Teachers
Area and Volume
An AP calculus lesson begins with an activity to determine the volume of a solid using a cross-section. Next, learners review the ways to find the area between two curves , as well how to find the volume of a solid created...
Wake Forest University
Authentic Activities for Connecting Mathematics to the Real World
Check out the handout from a presentation that contains a collection of high school algebra projects connecting a variety of mathematics to the real world. Activities range from simple probabilities to calculus. The activities...
Mrs. Burke's Math Page
Let Them Eat Pi
Looking for a fun and creative way to celebrate Pi Day? Then this is the resource for you. From a scavenger hunt and trivia contest to PowerPoint presentations and skills practice worksheets, this collection of materials is a...
Curated OER
Mathemafish Population
It's shark week! In this problem, young mathematically minded marine biologists need to study the fish population by analyzing data over time. The emphasis is on understanding the average rate of change of the population and drawing...
Other
Labs and Projects: Applications of Exponential and Logarithmic Function
This site has several examples of exponential functions. There is also some background and theory information.
University of Georgia
University of Georgia: One Grain of Rice Mathematical Project
This is the mathematical tale about Raja, one grain of rice, and how quickly it grows. It includes a mathematical project using a spreadsheet to examine exponential growth and a calculus-based extension that explores area under a curve.
Other
Montana State University: Analyzing a Periodic Function
A complex analysis of periodic functions, including advanced calculus and theorems. Includes many graphs.
Mathematics Archives
Math Archives: Graphing Calculators
Provided here are many links to calculator projects, programs, utilities, lab activities, and worksheets. A good resource for educators to have when needed!
Duke University
Duke University: Web Feats Ii: Free Donuts
This is an excellent interactive site which walks the student through the process of finding the maximum volume for a box given the length and width of a piece of cardboard. The site poses numerous multiple choice questions for the...
University of Cambridge
University of Cambridge: Maths and Sports: Model Solutions
What would be the ideal weather conditions for breaking the world record in the shot put? This activity encourages A-level mechanics students (grades 10, 11, and 12) to explore and discuss modelling assumptions.
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