81 results
Calculus project pdfs
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:
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:
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 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:
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
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:
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:
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!!
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:
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:
Calculus Recipe Project
This calculus recipe project is great to use with your students as an end of year project or review for their AP Exam/Final Exam. Students will be required to create a recipe using calculus problems where the answers are equivalent to the necessary ingredient measurement. Included are the directions, sample recipe card, and sample rubric.
Precalculus and Calculus Project |Derivatives Rules Review| Mystery Project
This Precalculus and Calculus Derivative Project includes 48 questions to Solve the Mystery of the Missing Math Manuscripts! Students will complete 4 Clue Sheets that cover the power, product, quotient and chain rules ! After they solve all 4 sheets they will discover that one person, time and location was not used. They will decode the letters with a corresponding number and discover the code to get the objects back!This code is a great way to quickly check students work & an answer key i
Subjects:
Grades:
11th - 12th
Types:
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:
Volumes of Solids with Known Cross Sections - Calculus Discovery Activity
Introduce volume using the cross sections squares, triangles and semicircles to your Calculus students. This lesson aligned to AP Calculus sections 8-7 and 8-8. Engage students using tactile learning as they create physical representations of volume using cross sections. This activity covers volumes of solids with known cross sections using squares, semicircles & isosceles right triangles.
Subjects:
Grades:
10th - 12th
Types:
Calculus BC - Working With Fractals and Infinite Geometric Series Project
In this project students will choose a fractal. They will find the total area generated by the fractal and the total perimeter generated by the fractal after each iteration. Students will also find the total area and perimeter generated by their fractal after an infinite number of iterations. Students are to make a fractal and include at least 4 iterations of the fractal. Students will include a correct geometric series with proper sigma notation when finding the perimeter and area after each it
Subjects:
Grades:
9th - 12th
Types:
End Of Year Mathematician Project - Algebra 2/Calculus/PreCalculus
This is a great project for the end of the year! Students are required to research a famous mathematician (they can choose one not listed as well) and create a research paper using the guidelines within the project. There is also an option to have your kids do a presentation (which I love!) with the guidelines provided as well. Rubrics are given for both the paper and presentation! Enjoy!
Subjects:
Grades:
9th - 12th
Types:
AP Calculus Limit, Derivative, Integral Review Game {Spin the Calc}
*The focus of the problem set in this listing is a comprehensive review of limits, derivatives and integrals.*See my other listing, "Spin the Calc" - e/ln review, if you would prefer a problem set that is more focused and reviews e^u, ln u and their associated derivative and integral problems.A nerd inspired version of "spin the bottle" to review calculus! I divide the class into 7-10 person groups. Armed with whiteboards (paper would work just as well), students form their desks into a circle
Grades:
9th - 12th, Higher Education
Types:
Math Inquiry Project - Have Fun Learning After the AP Test!
Have fun learning when the AP test is done! I love this project, because students are doing most of the thinking. As a teacher, I just get to sit back and hear about cool math! I find that students really have fun with this open-ended project, and they enjoy learning from each other. It’s a low-pressure way to end the year on a high note. For this assignment, students prepare a 10-15 minute presentation about a topic in mathematics that has not yet been addressed in their high school math cla
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Grades:
11th - 12th
Types:
Precal Conic Project
Time to combine the mathematics world with the animal kingdom!! Fun and creative project to explore conic equations using Desmos.com! This comes complete with an intro page and rubric to give to your students so they can create their virtual pets and then share them with the class through google slides, prezi, or powerpoint!Students must use all four conic equations, and have to restrict the domain or range of two of those equations. They are allowed to use any other equations in their pets as w
Subjects:
Grades:
10th - 12th
Calculus Optimization Project
This project requires students to use critical thinking to write an equation for optimizing the amount of wrapping paper used to wrap multiple rectangular boxes. The students must consider overlap, overhang, and constant exposed surface area in order to arrive at a conclusion. The product includes a letter from Santa, directions, and rubric for grading.
Subjects:
Grades:
11th - 12th
Types:
Optimization Discovery Activity using Paper Prisms - AP Calculus Unit 5-10, 5-11
Introduce the concept of optimization to students in a tactile way using paper prisms! In this activity, students will create their own open prism out of paper and make conjectures about how to optimize the volume the prism can hold. Then, they will discover how to find the precise dimensions of an optimal prism. This activity is aligned with AP Calculus Unit 5-10 and 5-11. Answers included along with a teacher lesson plan guide. 10 prism cut out sheets included for optimal comparison of each ca
Subjects:
Grades:
10th - 12th
Types:
Volume with Known Cross Sections Kinesthetic Project | Calculus
This is a fun project to help students see how the integral formulas produce volumes of known cross sections! I usually do two examples with the class and then divide the students into groups of 3-5. Each group will need a base on foam board (either f(x) or g(x) below), ONE shape of multiple sizes, scissors, and pins. You can break the tasks for the groups as follows: cutting shapes, placing shapes, and calculating volume (with calculator). When they are finished, students can put their answers
Subjects:
Grades:
9th - 12th, Higher Education, Adult Education
Types:
Minimizing Construction Cost
This is a project with twelve different versions. The goal is to minimize the construction cost of a airplane hangar and each version (Versions A-L) has slightly different parameters.
Answers included.
The intent of this project was for optimization in calculus but it could also be used with a TI calculator in a pre-calculus class.
Subjects:
Grades:
10th - 12th
Types:
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