Completion of calculus in high school is the strongest predictor of college completion. The Calculus Project is designed to narrow the achievement gap in mathematics by instilling a mindset that attributes success to hard work and resilience, by promoting collaboration among participating students, and by improving the mathematics problem solving skills of African American, Hispanic and low-income students. Our goal is to increase the enrollment of students from these three groups in higher-level math classes at Newton high schools by providing the support necessary for success. Students are invited to the Calculus Project based on academic performance and consultation with teachers.
Already have an account? Page history last edited by Sem Avena 7 years, 8 months ago Due Thursday, March 24 Individual or pairs Make a physical model of a solid with a known cross section on a base with a standard function s.
The base function s can be any non-linear function except a parabola, square root or absolute value. If using more than 1 function for the base, the second function can be any of your choice.
The cross section can be any shape except a square. If using multiple cross sections, due to more than one region acting as the base of the solid, then the second cross section can be any of your choice.
The materials used can be no thicker than 0. Your model must be at least 6 inches long and have a minimum of 24 laminations cross sections.
Presentation must include the following items: A clear description of function s used. Computed volume for each slice. Total volume using a Riemann Sum.
Theoretical volume as defined by a definite integral. If your problem is not integrable, you may use the Numerical Integration feature on your calculator. Difficulty of the function and cross section used - 20 points Neatness and appeal of your model - 10 points Presentation of all information and calculations - 20 points All partner request must be made with both students present by the end of 5th period on Tuesday, March 1.
If no request for a partners is made, it is understood that the student will work on their own. Click here for project handout: Volume Project Here are some sample pictures.
To see the images in a larger window, right-click and select view image.Calculus:An Active Approach with Projects, Steve Hilbert, John Maceli, Eric Robinson, Diane Driscoll Schwartz, and Stan Seltzer.
John Wiley and Sons, Inc., Also, we combed the other calculus sites listed on the Projects Calculus at Cornell Home Page, so we may have used ideas from any/all of .
MATH - Calculus 1, Fall Course Info Syllabus Sections/Instructors Schedule WebAssign Homework Projects Activities Exams More resources. Project 1 (Aug 30): Modeling with linear, quadratic and exponential functions Solution to Project 1 Project 2 .
Part 1: Winplot for Calculus - an introduction to Winplot and a demonstration of what it can do Part 2: Problems for CAS solution - a discussion of how CAS can be used in high school illustrated by a series of problems from pre-calculus and calculus.
Some of my Favorite Calculus Projects I am a big fan of using technology in the classroom. In the calculus sequence, I use the computer algebra system Maple for visualization, computation, and discovery-based learning. Calculus Projects: At the end of each semester, students form into small groups to create an original, creative presentation of a “big” Calculus BC concept.
These projects are creative in nature and provide “hooks” for the students to further remember the material. In calculus, the integral of a function is a generalization of area, mass, volume, sum, and total.
The following pages list the integrals of many different functions. The following pages list the integrals of many different functions.