151 results
Calculus projects
Unit Circle Project
This Unit Circle Project is the perfect way to teach the unit circle to your high school math students in a fun creative way. Not only will students walk away with a better understanding of special right triangles and angle relationships after completing the unit circle project, but you'll also be able to decorate your classroom with their artistic ideas. Your administrators and parents will love seeing the artistic aspect of this unit circle math project. Instead of giving students the unit cir
Subjects:
Grades:
9th - 12th
Types:
CCSS:
Logarithmic and Exponential Murder Mystery Project and Lab
Solving exponential and logarithmic equations are fun and engaging in this mystery project. In this project students will work to test the stories of four suspects, Mrs. White, Colonel Mustard, Miss Scarlet, and Professor Plum. Each suspect has a defense for the crime but only math can prove if they are telling the truth.Exponential modeling using Newton's Law of Cooling is used to find the time of the murder. Exponential decay models are used to find how much poison was used.This two-three day
Subjects:
Grades:
9th - 12th
Types:
AP Calculus Optimization Discovery Project with M&Ms!
Optimization is a tricky topic in calculus. This one-day activity allows students to discover how calculus can help them. Each student (or small group) starts with an index card, which will be cut and folded up to form a box. First they calculate what would happen if the box is made various ways, and see that the volume changes depending on the size of the cuts.Next students develop an equation and apply calculus to determine how to create a box with maximum volume - so that they can fill it up
Subjects:
Grades:
11th - 12th, Higher Education
Types:
Calculus Derivatives Project: The Calculus Coaster
A project that combines the concepts of continuity and differentiation and applies it to a real world situation. The students must first use both continuity and differentiation to solve for multiple coefficients. They then use the coefficients they have solved for and their knowledge of derivatives to answer questions about the situation. Designed for an AP or Advanced Calculus 1 class.
Subjects:
Grades:
11th - 12th, Higher Education
Types:
CCSS:
Calculus Volume of Revolution Fun Escape Project
Similar to an Escape Room, this engaging fun project for Calculus students, uses techniques from the Volume of Revolution (part of the Applications to Integration Unit), to escape capture by Aliens.Your students have been unwittingly captured by aliens from the planet Relssek, and in order to be set free and escape their captors, they must find the volume of the Queen’s favorite mug, no easy task. In order to solve the problem they will use their prior Algebra knowledge plus Calculus to determ
Subjects:
Grades:
10th - 12th, Higher Education
Types:
Precalculus Graphing Polar Coordinates "Date" Project
Practice graphing with polar coordinates by having your students embark on a date in this love themed project! The cardiod (heart), lemniscate (bow), rose curve (flower), circle and more are explored! There is a calculator portion where students reveal a butterfly and a portion where they can create their own graph as well. INCLUDED:- 5 themed polar graphs- An opportunity for students to get creative and make their own graph and prompt- Scoring rubric- Full worked solutions answer keyI have d
Subjects:
Grades:
9th - 12th, Higher Education
Types:
CCSS:
Calculus Catapult Project - Derivatives and Extrema Hands On Activity
This Calculus catapult project will engage students and help them apply their derivative knowledge to a real-world scenario! Students will create a catapult and launch an item. They will use their derivative knowledge to determine the maximum height of their launched item!Need a change from just calculating derivatives all day??This catapult project has students build their own catapult to launch a paper ball and then measure time and distance. Using that alone, they will calculate the maximum h
Subjects:
Grades:
11th - 12th
Types:
Calculus Applications of Differentiation Maximize-a-Box Project (Unit 5)
Applications of Differentiation Maximization Calculus Project:This Calculus project is an activity for optimization and the Applications of Differentiation Unit. Students are given a sheet of poster board of a specific size and are asked to create a box (with a fold-down lid) of maximum volume.Teaching Suggestions:Assign students a designated poster size for whicn they will use to create a box of maximum volume.Students should calculate the volume for two different boxes based on the orientatio
Grades:
10th - 12th
Types:
Also included in: AP Calculus Activities Bundle | Flamingo Math
Volume Using Known Cross Sections CALCULUS PROJECT
Calculus students will find the volume of a solid using known cross sections in this project that includes computer and hands-on components. Students will create their own 3D solid and use www.desmos.com and a GeoGebra applet to make a physical model and multiple computer-generated images. This is a fun and engaging project for the end of the year in a calculus course. It works well for students to do individually or with a partner.This project requires the use of a computer with Microsoft Powe
Grades:
11th - 12th
Types:
Volume by Cross Sections Project
This is a poster project whereby students create 3-dimensional models of physical objects by using cross sections. Students determine what functions to use for their base regions and the cross sections. They use a spreadsheet to calculate the Riemann sum for their objects and compare their calculations to their integral values. Students have a lot of fun with this project and they get very creative. I recommend that you allow at least 3 weeks for the project and require them to submit their
AP Calculus Turkey Trot - Limits, Derivatives Scavenger Hunt Project
A fun QR way of reviewing limits and derivatives! Students embark on a scavenger hunt for 22 turkeys with calc questions + 7 bonus turkeys with fun questions. Each turkey has a unique QR code that will link to a calculus question. 22 turkeys have questions on the following topics:- Limits (graphically, algebraically)- Continuity- Slope of a tangent line- Derivatives---Power rule---Chain rule---Trig---Implicit differentiation---Related rates---Extrema---Increasing/Decreasing---Concavity---Roll
Grades:
9th - 12th, Higher Education
Types:
Solving Trigonometric Equations - Coloring Activity
Students will use their knowledge of SOLVING TRIG EQUATIONS in this coloring sheet. It is way more fun than a traditional worksheet, and it's great for teachers to use for student work displays.ANSWER KEY INCLUDEDLooking for more on your ANALYTIC TRIGONOMETRY unit? Check out these resources!Fundamental Trig Identities - Scavenger HuntVerifying Trig Identities - Race ActivitySum & Difference Formulas - PuzzleMultiple-Angle & Product-to-Sum Formulas - TrashketballAnalytic Trigonometry - As
Subjects:
Grades:
9th - 12th
Types:
Also included in: Analytic Trigonometry - ENTIRE UNIT BUNDLE!!
Calculus - Solids of Revolution Project
In this project, students use Calculus to find the volume of a real object without a simple geometric formula. The file includes a one-page description of the project and a half-page rubric for grading.
For a more open-ended project, visit this other listing in my store:
https://www.teacherspayteachers.com/Product/Calculus-End-of-Year-Project-AP-Calculus-BC-or-AB-3247530
Grades:
10th - 12th
Types:
Also included in: Calculus AB Resources (discounted bundle)
Trigonometric Modeling Amusement Park Project and Lab
Modeling a Ferris Wheel with trigonometric functions is fun and engaging in this design project. In this project students will work as a civil engineer to improve and save the amusement parks Ferris Wheel.
Linear and angular speed is converted to determine the number of revolutions and time needed for the Ferris Wheel to operate at its greatest potential.
This one-two day project is a great finale for an trigonometric function unit. Students will enjoy the task of improving the Amusement park
Subjects:
Grades:
9th - 12th
Types:
Calculus End-of-Year Project
I use this project in my AP Calculus BC course at the end of the year. You can also adjust it to make it appropriate for AP Calculus AB—some of the “jumping-off points” included in the assignment sheet involve BC-only topics, but they can be removed or replaced with more AB topics if you wish.
You will download a .zip file from which you can extract four files: two editable .doc files and two .pdf versions of those files for perfect formatting.
Included:
- Assignment sheet with introduction,
Subjects:
Grades:
11th - 12th
Types:
Calculus Projects (AP)
This document contains 7 projects that I use in my AP calculus class. Most of them are geared toward an AP class. Rubrics for all 7 are included with the number of pages.
1 - review of pre-calc material for the first week of class. The students have to present their topic to the class and assign homework to the class.
2 - creating multiple choice questions. They have to create questions in the format of the AP test, including incorrect answers.
3 - creating a limit example. Students have to s
Calculus Vase PROJECT
Looking for an Integration Project for your Calculus class? This Vase Project (with an editable rubric) is the perfect fit for you. Students work with a partner to use an integral to calculate the volume of a vase.Students will work in groups to record the dimensions of a vase as ordered pairs, use regression to find the curve of best fit, use calculus to approximate the volume of the vase, measure the actual volume of the vase, calculate the percent error, and write a report with their findings
Grades:
11th - 12th, Higher Education
Types:
Polar Coordinate Investigation (Points, Graphs, Practice Problems)
A task to take your students through discovery of what polar coordinates are and the graphs that they make. Students should be able to complete this alone or with a partner with little to no instruction - as stated, an investigation! The investigation will take students through the following:Part I: Plotting Polar PointsPart II: Polar GraphsPart III: Conic Sections in PolarPart IV: Students create graphsFor a themed project that explores the fun graphs that polar coordinates can create, check
Subjects:
Grades:
9th - 12th, Higher Education
Types:
COVID-19 Understanding the Exponential Spread of the Coronavirus
Looking at infection and death rates across the globe, we'll sift through the data and see if we can determine the facts about the spread of this pandemic. Students will be asked to consider possible exponential functions to model the spread of this virus and think of some ways to slow the spread.This four page guided worksheet requires students to look up current data and use a graphing utility to build an exponential model. A guide to exponential regression on graphing calculators is provided.
Subjects:
Grades:
9th - 12th
Types:
Calculus Optimization Project | EDITABLE
Looking for a project for differential calculus? Look no further! In this FULLY EDITABLE, low-prep project, students calculate the surface area of cans from the grocery store, then apply calculus to optimize their volume. Students summarize their findings in a Google Slides presentation.Includes a rubric and a spreadsheet with formulas to make grading a breeze!Click HERE to SAVE 30% by buying my Calculus Full Curriculum Bundle. This bundle contains everything you need to teach a full year of Cal
Grades:
12th
Types:
Also included in: Calculus Full Curriculum BUNDLE
Modeling the spread of ebola using calculus (original and key)
This project has 4 pages.
page 1 gives data on the cases/deaths due to ebola. Students are asked to model both and find an appropriate function. [table to graph/function]
page 2 asks students to analyze the rate of change of the cases/deaths and find an appropriate derivative function. [approximate rate of change using slope in table, make graph/function]
page 3 asks students to consider an equation for the growth and use derivative analysis (increasing/decreasing concavity extremes) to answer
Subjects:
Grades:
11th - 12th, Higher Education
Types:
Stand and Deliver Movie Questions
This 5 page document allows students to write character descriptions as they watch the movie. It also provides questions which ask them to consider important themes and messages as they watch.
Easy to answer questions are provided for students to fill in while watching the movie to keep them attentive. Then, after the film, 8 essay questions are provided to get more in-depth responses about controversial topics discussed in the movie. Use this movie guide as an instructional classroom tool
Grades:
8th - 12th
Types:
Rollercoaster Project
The Rollercoaster project is interactive and hands-on to assess the student's knowledge of polynomials and slopes. Students work in groups of 3-4 and will complete the assignment in roughly a week. Teachers can alter the amount of time needed for completion. Student's have their own roles and room for creativity. This would work as a great quarter project for a review of turning points, end behaviors, and writing polynomial functions.
Subjects:
Grades:
9th - 12th
Types:
CCSS:
Area of Polar Regions Coloring Page Activity / Project Calculus II / BC
Help students explore area between polar curves using this coloring page activity. This activity can easily be turned into a project for students to complete on their own or an in-class activity. This activity covers AP Calculus BC Topics9.8 Find the Area of a Polar Region or the Area Bounded by a Single Polar Curve9.9 Finding the Area of the Region Bounded by Two Polar CurvesThis activity includes two interactive coloring pages and an extensive key that maps how to find the area of each region
Subjects:
Grades:
10th - 12th
Types:
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