Parallel Lines Project
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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
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
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
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
Calculus Tangent & Normal Lines PowerPoint | Derivatives Practice + Examples
Make teaching calculus easier with this Tangent and Normal Lines PowerPoint Presentation. Perfect for high school and AP/IB math classes, this resource provides clear, step-by-step explanations of how to calculate tangents and normals using derivatives. What’s Inside: Clear definitions of tangent and normal lines with visual diagrams Step-by-step process for calculating equations using derivatives and point-slope form Multiple worked examples (quadratic, cubic, and square root functions) Pra
8th - 12th, Adult Education, Higher Education
Calculus, Math Test Prep, Other (Math)
Equations of tangent and normal lines
Power Point presentation, 9 slides, Explaining how to find the equation of a the tangent to a curve at a point and the normal to a curve at a point, based on the NEW IB Mathematics Syllabus. More resources www.mathssupport.org
11th - 12th, Higher Education
Calculus, PreCalculus
Parent Function Book | End-of-Year Project | Back-to-School Review
Parent Function Book that can be used as an End-of-Year PreCalculus project or Back-to-School review for Calculus Have your students create a reference guide for your future math classes. Identify the domain, range, and any asymptotes of each of the parent functions listed on the Table of Contents, and fill-in the information for the Unit Circle with trigonometry values. Functions include polynomials, rational functions, radicals, e^x, e^-x, lnx, the six trigonometric functions, and three inver
10th - 12th
Calculus, PreCalculus
Calculus Real World Applications End Of Year Project
This is a fantastic project to end the year in Calculus. Students are required to choose a real-world problem or phenomenon that can be analyzed using calculus concepts. Examples include population growth, optimization of resources, motion of objects, modeling of diseases, etc. Once they find a topic they will have 3 phases to complete: research, analysis, and presentation. You can choose to do all the phases with your class or eliminate one/two of them depending on time! Rubric is atta
11th - 12th, Higher Education
Calculus, Math, PreCalculus
AP Precalculus Project | Solving Real-World Zoning Challenges
Across the United States, the construction industry is booming—but it’s also bound tightly by one crucial element: zoning restrictions. Before a single wall can go up, architects and engineers must navigate a complex web of regulations—height limitations, property setbacks, lot coverage rules, roof pitch standards, and more. For students learning AP Precalculus, this isn’t just an abstract problem—it’s an opportunity. Blueprints & Boundaries: Solving Real-World Zoning Challenges with AP Precal
9th - 12th, Adult Education, Higher Education
Calculus, PreCalculus
Rates of Change and Tangent Lines
This is topic 9 in my AP Calculus curriculum and the first topic in my differentiation unit. This PowerPoint guides students through the difference between average velocity and instantaneous velocity. Students also learn how to find the slope of a tangent line using the limit. You may either have students go through the PowerPoint on their own or you may do it as a whole class. It is best used with the corresponding notes that I have created for it.
9th - 12th, Higher Education
Calculus, PreCalculus
Tangent Lines and Normal Lines
This is topic 16 in my AP Calculus curriculum. This PowerPoint guides students through how to find equations for tangent and normal lines. You may either have students go through the PowerPoint on their own or you may do it as a whole class. It is best used with the corresponding notes that I have created for it.
9th - 12th, Higher Education
Calculus, PreCalculus
Tangent Lines and Higher Order Derivatives
Bundle of resources for a lesson on Tangent Lines and Higher Order Derivatives. Includes the following (note that all resources can be edited, equations may require MathType): PowerPoint presentation for the lesson itselfWord Guided Notes to go with lessonWord handouts for a homework assignment plus 1 to 6 extra practice problem sets, depending on the lesson. Most questions are at AP level of rigor.PowerPoint presentations for full solutions to problem setsThe layout is very straightforward (n
9th - 12th
Calculus, Math Test Prep, PreCalculus
Also included in: Derivatives Unit
Scatter Plots and Least Square Lines
This power point lesson instructs calculus students the concepts of scatter plots and least square lines. Warm-up exercises and guided practice are provided.
10th - 12th, Higher Education
Calculus
Binary and Towers of Hanoi Math Project showcase
This short presentation shows how Binary code can be used to solve the Towers of Hanoi Math challenge in the least amount of moves. this resource is easy to use, just put it into slideshow and take your time clicking and watching as all the magic happens. This resource complements the Towers of Hanoi Project for Series and Sequences in my store and contains a presentation to show the moves required with binary for up to 5 different discs. For this remember that when the colored number changes
3rd - 12th, Adult Education, Higher Education
Calculus, Math Test Prep
Project Starters
Aplusclick Sample Math and Logic Problems for Hight School. Subject : Project Management
10th - 12th, Higher Education
Applied Math, Calculus, Math Test Prep
AP Calculus: Rates of Change Complete Lesson
This lesson starts with a review of secant lines and tangent lines, then explores several different examples of average and instantaneous rates of change. Students notice how secant lines can be used to find the tangent line. This lesson is appropriate for both AP Calculus AB and BC. Detailed answer keys are included. The topics covered include: -Review: Secant Lines and Tangent Lines -Finding the Instantaneous Rate of Change -Calculating Rates of Change -Average Velocity and Instantaneous Velo
10th - 12th, Higher Education
Calculus, PreCalculus
Also included in: AP Calculus: Derivatives Unit Bundle
AP Calculus AB Dodecahedron End of Year Review
It is the end of the year and now it is time for review. This mini project will help students focus in on a topic and get even more comfortable with it. The students will fill out each of the pentagons and then put them together for a dodecahedron review. They will look at the CED and see how and where their topic lies, create their own MCQ and FRQ based questions, review important formulas and more. This project is editable, so please, make this your own. You can do this project individua
11th - 12th
Calculus
Rate of Change
Bundle of resources for a lesson on Rate of Change (Average and Instantaneous, including Tangent, Secant and Normal Lines). Includes the following (note that all resources can be edited, equations may require MathType): PowerPoint presentation for the lesson itselfWord Guided Notes to go with lessonWord handouts for a homework assignment plus 1 to 6 extra practice problem sets, depending on the lesson. Most questions are at AP level of rigor.PowerPoint presentations for full solutions to probl
9th - 12th
Calculus, Math Test Prep, PreCalculus
Also included in: Limits and Continuity Unit
AP Calculus: Volumes by Cross Sections Complete Lesson
This lesson covers the techniques needed to find the volume of a solid using known cross sections. Cross sections taken parallel to both the x and y axes are considered.
This lesson is appropriate for both AP Calculus AB and BC, as well as college calculus.
Detailed answer keys are included.
The topics covered include:
-Review: Area Formulas
-Generalization of the Disk and Washer Volume Formulas
-Square Cross Sections
-Rectangular Cross Sections
-Triangular Cross Sections with Isosceles Tri
10th - 12th, Higher Education
Calculus, Other (Math)
Also included in: AP Calculus: Areas and Volumes Unit Bundle
M-A-T-H-O AP Calculus Review
This is a game based off of BINGO. It is a review resource for students in AP Calculus AB or BC or even a non-AP Calculus course. The review covers: Limits, Continuity, Tangent & Normal Lines, Local Linear Approximation, Differentiability, and many questions with finding derivatives. (The first approximately 1/3 of the AP Calculus AB course)
To play: Each student (or group) gets a M-A-T-H-O board. The students will then randomly place numbers from 1 - 30 on the board using a pen, so it cannot b
11th - 12th
Calculus, Math
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