Parallel Lines Project
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Tangent and Normal Lines Worksheet | Calculus Differentiation Practice | Answers
Tangent and Normal Lines Worksheet | Calculus Differentiation Practice with AnswersHelp your students master the fundamentals of calculus with this Tangent and Normal Lines Worksheet. Designed for high school and introductory college math, this resource provides a clear scaffolded approach to finding tangents and normals using derivatives. What’s Included: Step-by-step guided notes explaining: How to calculate the slope of a tangent using derivatives How to find the equation of a tangent line
7th - 12th, Adult Education, Higher Education
Calculus, Math Test Prep, Other (Math)
AP Precalculus Project | Solving Sewer Line Relocation Challenges
Why “Math Beneath the Streets” is the Real-World AP Precalculus Project Your Students Deserve?Across the United States, the construction industry faces a recurring challenge: aging infrastructure must be relocated or redesigned to make room for new developments. One of the most complex tasks? Rerouting underground sewer lines while maintaining safe flow, regulatory compliance, and structural stability. It’s a real-world engineering puzzle that requires more than hard hats and bulldozers—it deman
9th - 12th, Adult Education, Higher Education
Calculus, PreCalculus
Cubic Project
This is a project designed around a specific property of any cubic polynomial. Students will write equations of tangent lines to a given cubic function and then determine areas of resulting bounded regions. By investigating these areas a perplexing property of cubic polynomials will be discovered. There are two parts to the project. In part one students work with a specific cubic and arrive and specific answers. In part two students solve the problem in general for any cubic. CAS methods are
11th - 12th, Higher Education
Calculus
Calculus Full Year Curriculum | Guided Notes, Homework, Assessments, Projects
If you are also looking for notes, worksheets, assessments, activities, and projects that cover the entire year of Calculus, then you have come to the right place! This bundle contains everything you need to teach a full year of Honors Calculus, Dual Enrollment Calculus, or any other Calculus class for students not interested in AP.Imagine the hours of planning time you will save when you purchase this bundle! Want a free sample? Go here: Higher Order Derivatives and Straight Line Motion Lesson
11th - 12th, Higher Education
Calculus, Math
The Derivative and Tangent Lines Lesson Unit 10 Precalculus
⭐⭐ This Precalculus Honors lesson provides you with a customizable and fully-editable resource of guided student notes, practice set and daily lesson quiz that cover the topics for The Derivative and Tangent Lines. Your students will find the derivative at a point by the limit process and use the difference quotient. ⭐⭐ ✅ Lesson 10.4 Tangent Lines and Derivatives is a two-day lesson with an emphasis on the learning objectives: ★ Find slope using the limit process ★ Find the derivative at a
10th - 12th, Higher Education
Calculus, PreCalculus
Also included in: Precalculus Curriculum Mega Bundle | Flamingo Math
AP Calculus: Secant Lines and Tangent Lines Complete Lesson
This lesson introduces the notion of a secant line and illustrates how secant lines can be used to find approximations to tangent lines. It also includes a discussion of how the slope of the secant line can be interpreted as the average velocity on a position versus time graph.
There are several review sections on lines for students that may need a bit of a reminder on how to find the slope and how to write the equation of a line.
This lesson is appropriate for both AP Calculus AB and BC.
De
10th - 12th, Higher Education
Calculus, Other (Math), PreCalculus
Also included in: AP Calculus: Limits and Continuity 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
10th - 12th
Calculus, Math
Also included in: Calculus AB Resources (discounted bundle)
Calculus Book for Dummies Project
This is a project I assign to my AP Calculus students as a way to review for the AP. It is based off the calculus book for dummies concept. Each chapter has an individual set of requirements, all created by myself. Please feel free to edit as you see fit. It is a great project to review for the AP calculus AB and BC exam. I assign it to the students and let them have free reign on how they want to present the books. Requirements are no loose leaf paper and it must be typed if they have poor hand
11th - 12th, Higher Education
Calculus
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
11th - 12th
Calculus
End of Year Math Project - I can teach __________!
So it is the end of the year. You're burnt out. The kids are burnt out. But you need to review for the Final Exams/End of Year Testing. Here is a great project for your students that will get them engaged and have them reviewing the material without the class getting bored with the same old examples.
In this project, students have just been hired as the new (Insert Subject Here) Teacher at their school! Now it is their job to teach the rest of the class what they need to know for the end of ye
8th - 12th
Algebra, Calculus, Math Test Prep
Optimization Volume Project for Calculus
This project is for Calculus after students have mastered Optimization using derivatives. It is a hands-on activity in which students will find the minimum surface area of different geometric objects given a specific volume and then build the object. It includes worked out solutions for multiple geometric objects so that every student can do a different object. It culminates with a day to fill the objects with candies to see how close their object is to the set volume. Great project!
12th, Higher Education
Calculus
Year 10 General Mathematics | Matrices Application Task | Real-Life Math Project
Bring real-world relevance into your mathematics classroom with this engaging Year 10 General Mathematics – Matrices Application Task. Designed to make learning matrices meaningful, this resource integrates healthy lifestyle habits (sleep, study, and exercise) with a charity project linked to Caritas, allowing students to see how mathematics connects to everyday life and social justice. Students will practise: ✅ Creating and labelling matrices ✅ Matrix addition and subtraction ✅ Scalar mu
9th - 12th
Applied Math, Calculus, Math Test Prep
Calculus Project - Optimization
In this project, students work collaboratively to approach an engineering-type problem involving cans and their surface area. There are rubrics included for team evaluation, self evaluation, and teacher evaluation.
9th - 12th
Calculus
Equations of Tangent Lines Christmas Movie Marathon Activity (Editable)
Students will determine the slope of the tangent line to 5 functions and the equations of the tangent line to 5 functions. The correct answers will determine the movie list in a Christmas movie marathon themed activity. All derivatives can be found using the power rule.
11th - 12th
Calculus, PreCalculus
AP Calculus Project: Roller Coaster with Piecewise Functions & Derivatives
Engage your AP Calculus students after the exam with this hands-on and creative project! Students design a mathematically valid roller coaster using piecewise functions that are continuous and differentiable at each transition point. They must graph the coaster, build a 3D model, and provide formal mathematical proofs of continuity and differentiability. Perfect for: AP Exam wrap-up weeks Summative assessments Honors Calculus projects Includes: Full student instructions Grading rubric Proof
10th - 12th
Calculus
Secant Lines and Tangent Lines - Intro and Practice
This activity / worksheet serves as a good introduction to the relationship between secant lines and tangent lines. Students explore this relationship numerically, graphically, verbally, and analytically. In Part A, students draw and calculate the slopes of various secant lines that approach the tangent line and discuss this graphical and analytical relationship. In Part B, students relate a graph to verbal and symbolic descriptions to determine which of two values is larger, and then to determ
10th - 12th
Calculus, Math
Also included in: Calculus AB Resources (discounted bundle)
Multivariable Calculus: Lines and Planes Complete Lesson
This lesson covers the equations for a line and a plane in three dimensions. It introduces the parametric equations for a line as well as the symmetric equations obtained by eliminating the parameter. The linear equation for a plane is also introduced. Finally, there are several problems that ask students to apply geometrical reasoning to find intersections of lines and planes. Vectors are not used in this lesson. This lesson is meant for a Multivariable Calculus course, but it could be used
10th - 12th, Higher Education
Calculus, Geometry
Also included in: Multivariable Calculus: The Geometry of Space Unit Bundle
Optimization Mini-Projects (Calculus)
This is a series of 5 mini-projects focusing on optimization (or analyzing other features of functions) using differential calculus. I call them "mini-projects" because each of them can be completed over the course of 2-3 hour-long class periods, depending on students' mathematical backgrounds. They can be done individually, but probably work better as small group projects. Each project handout gives all the relevant background information, and then frames a series of questions. They are desi
10th - 12th, Higher Education
Applied Math, Calculus, Math
CCSS
MP4
Calculus Poster Project
This is a project designed to be used at any time during the school year. It especially lends itself to being used at the end of the year, but it can be used after learning related rates, volume, or optimization. The project consists of a poster and a written part. The student will be required to create a situation in which they would need to solve a related rates, volume, or optimization problem. The student will design a poster to show the situation and the problem and will also write a about
10th - 12th
Calculus, Math, PreCalculus
Multivariable Calculus: Vector Equations of Lines and Planes Complete Lesson
This lesson begins with the vector equation of a line. Students learn to relate the vector equation of a line to the parametric equations and the symmetric equations of a line. Also, students learn to express line segments using a vector equation. Next, the lesson introduces the vector equation of a plane. Students learn to relate the vector equation of a plane to the linear equation of a plane. Finally, students learn how to find the angle between two planes and the distance from a point t
10th - 12th, Higher Education
Calculus, Math
Also included in: Multivariable Calculus: Vectors Unit Bundle
AP Precalculus Project | Designing Earthquake-Resilient Homes
Earthquakes are among the most devastating natural disasters, and the threat they pose to homes and communities is especially critical in regions of the United States like California, Oregon, and Washington. Despite advancements in engineering, many residential structures remain vulnerable due to poor design and lack of seismic resilience. This isn’t just a construction issue—it’s a math challenge waiting to be solved. Building the Future: Designing Earthquake-Resilient Homes with Precalculus Po
9th - 12th, Adult Education, Higher Education
Calculus, PreCalculus
AP Precalculus Project | Solve Real-World Construction Challenges
Across the U.S. construction industry, one persistent issue continues to challenge commercial and institutional building developers: utility infrastructure limitations. Whether it's overloaded electrical systems, inefficient HVAC routing, or unsustainable water usage, these problems are both costly and disruptive. But what if students—right from their high school math classrooms—could engage with these real-world issues and offer innovative, data-driven solutions? Powering the Future: Applying P
9th - 12th, Adult Education, Higher Education
Calculus, PreCalculus
AP Calculus Project #2 (Tsunami)
In this project, an evil city is planning on destroying Nawfolk using a Tsunami simulator. It is up to the AP Calculus team to find the location of the simulator in order to save the city.
This activity covers topics from accumulation to the FTC and is good to use as either a post AP test project, or practice for FRQ's
11th - 12th
Calculus
AP Calculus BC “Tough Stuff” Project | Review & Concept Mastery Activity
Looking for a meaningful way to help your AP Calculus BC students review challenging concepts while building confidence before the exam? This FREE “Tough Stuff” Project is a student-centered activity that encourages deeper understanding, ownership of learning, and peer teaching—all essential for success in AP Calculus BC. Students identify a concept they find difficult, learn it more deeply, and then teach it in a clear and engaging way. This project is perfect for pre-exam review, post-unit r
9th - 12th
Calculus, Math Test Prep, PreCalculus
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