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Preview of AP Calculus BC Polar Design Project (Taylor and Maclaurin series also included)

AP Calculus BC Polar Design Project (Taylor and Maclaurin series also included)

Created by
SG'S STEM STORE
Polar Design Project – AP Calculus BC End-of-Year Project (Includes Series, Derivatives & Integrals)Bring creativity into your AP Calculus BC classroom with this engaging Polar Design Project that combines art, calculus, and real understanding! Students create a unique design using polar equations and analyze it using key BC concepts such as: Area between polar curves (definite integrals) Slope of tangent lines in polar form (derivatives) Taylor/Maclaurin series (local approximation) This
Preview of BUNDLE! Complete Derivative Rules Review for Calculus Success

BUNDLE! Complete Derivative Rules Review for Calculus Success

Mastering Finding Derivatives: Power Rule and Writing Tangent Lines in CalculusReview Worksheet:Diverse Problem Set: The worksheet covers a variety of function types:Classic power rule problems that reinforce foundational concepts.Three functions that require students to distribute before differentiating.Three functions that necessitate “breaking” the fraction down first.Tangent Line Applications: Students will also tackle two problems where they write the equation of a tangent line at a specifi
Preview of Math MOCK Exam 5

Math MOCK Exam 5

This comprehensive mathematics mock exam is aligned with the rigor of AP Calculus, IB Mathematics (Analysis & Approaches HL), and other advanced pre-university programs. With 50 MCQ questions organized by topic and a complete answer key, it offers broad curriculum coverage in a clean, timed-exam format. 📌 Topics Covered Analytic Space Geometry (Q1–Q5) — orthogonal projections, distances to planes, parametric equations of lines, parallel planes in 3DComplex Numbers (Q6–Q10) — quadratic equ
Preview of Preschool & Kindergarten Math Workbook 150 Pages | Numbers, Shapes, Time & More

Preschool & Kindergarten Math Workbook 150 Pages | Numbers, Shapes, Time & More

This 150-page printable PDF is a complete math workbook for preschool and kindergarten students. It covers essential early math skills through engaging activities. What's inside?Number Recognition & Counting: Numbers 1-20, counting objects, before/after/betweenAddition & Subtraction: With pictures for easy understandingComparing Numbers: Greater than, less than, equal toShapes: Identifying, tracing circles, squares, triangles, rectangles, hexagons, pentagons, diamondsTracing Lines & Curves: Pre
Preview of Tangent Lines to Parametric  Vector Valued Functions Calculus

Tangent Lines to Parametric Vector Valued Functions Calculus

Created by
Joan Kessler
In this Tangent Lines to Parametric Functions (Vector Valued Functions) lesson, students use the formulas for derivatives of parametric equations to find derivatives and also find equations of tangent lines. They will also determine vertical and horizontal points of tangency for parametric curves (Vector Valued Functions). Included in the Activity: 10 Task or Station cards plus one blank for you to personalize if you choose. There are ten questions. For #1 – 8 students find a tangent line
Preview of Optimization Volume Project for Calculus

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!
Preview of AP Calculus Project: Roller Coaster with Piecewise Functions & Derivatives

AP Calculus Project: Roller Coaster with Piecewise Functions & Derivatives

Created by
Diane McClaskey
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
Preview of AP Calculus BC “Tough Stuff” Project | Review & Concept Mastery Activity

AP Calculus BC “Tough Stuff” Project | Review & Concept Mastery Activity

Created by
KingMamaMath
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
Preview of Euler's Method, Tangent Lines Notes

Euler's Method, Tangent Lines Notes

These notes cover writing tangent lines and using Euler's method to get better estimations for solutions to differential equations. This note sheet formatted to be a 1/2 sheet of paper. It is intended to hand out to the students so that they do not have to write everything down - not for them to cram everything on the note page. They can use it as part of their interactive notebook OR they can staple/tape/glue it to wherever they are taking notes. My students kept it out during the lecture and
Preview of Connecting Derivatives, Riemann/Trapezoidal Sums, and Tangent Lines

Connecting Derivatives, Riemann/Trapezoidal Sums, and Tangent Lines

Students will match/sort cards depending on what connections can be made between first and second derivatives, left, right, and trapezoidal sums, and whether a tangent line would be an over or underestimate of a curve.
Preview of Power Rule and Writing Tangent Lines: Master Finding Derivatives in AP Calculus

Power Rule and Writing Tangent Lines: Master Finding Derivatives in AP Calculus

Enhance your AP Calculus class with this comprehensive worksheet on the Power Rule, designed to deepen students' understanding of derivatives! This engaging resource features fifteen tailored problems that go beyond typical power rule exercises, encouraging students to think critically about functions. What’s Included: Diverse Problem Set: The worksheet covers a variety of function types: Classic power rule problems that reinforce foundational concepts. Three functions that require students to
Preview of Create a Calc-u-lentine Box Activity

Create a Calc-u-lentine Box Activity

Created by
Laura Eloe
Give your Calculus students a "crush" on math this February! This hands-on project transforms the traditional Valentine’s Day card box into a comprehensive portfolio of Calculus applications. From maximizing volume to approximating the area of a heart, this project requires students to apply core concepts to a physical 3D object. This project is designed for High School Calculus (AB, BC, or Dual Enrollment). Students are challenged to design a card box where every side represents a different Cal
Preview of Threads & Trends: Build a T-Shirt Company with Calculus

Threads & Trends: Build a T-Shirt Company with Calculus

Created by
SG'S STEM STORE
Turn your classroom into a business lab with this engaging end-of-year AP Calculus AB project! In Threads & Trends, students create their own T-shirt company and use calculus to make real business decisions. They’ll build cost, revenue, and profit functions, use derivatives to maximize profit, graph their models, and make data-driven recommendations like real entrepreneurs. This project blends optimization, derivatives, modeling, and business applications into a creative, real-world challenge
Preview of AP Calculus AB Dodecahedron End of Year Review

AP Calculus AB Dodecahedron End of Year Review

Created by
Angela Calvin
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
Preview of Differential Calculus Quick Study Guide

Differential Calculus Quick Study Guide

Created by
Math Hints
Quick study guide for Differential Calculus. Includes formulas for derivatives, definitions of theorems, and hints for curve sketching, related rates, tangent lines, linearization, optimization, implicit differentiation, derivative of an inverse, error approximation, and velocity/acceleration.
Preview of Calculus Part 2 Notes (Derivative, Motion, Slope Fields, Euler's, Antideriv)

Calculus Part 2 Notes (Derivative, Motion, Slope Fields, Euler's, Antideriv)

These notes cover introductions to the following topics: Derivative (basic trig and power rule)Motion (graphically and analytically)Slope FieldsTangent Lines and Euler's MethodAntiderivates/Indefinite IntegralsAntiderivatives and Initial ConditionsThese note sheets are formatted to be on 1/2 sheets of paper. They are intended to be handed out to the students so that they do not have to write everything down - not for them to cram everything on the note page. They can use them as part of their in
Preview of Calculus Part 2 Assignments (Derivative, Motion, Slope Fields, Euler, Antideriv)

Calculus Part 2 Assignments (Derivative, Motion, Slope Fields, Euler, Antideriv)

This includes seven assignments that cover introductions to: Derivative (basic trig and power rule)Motion (graphically and analytically)Slope FieldsTangent Lines and Euler's MethodAntiderivates/Indefinite IntegralsAntiderivatives and Initial ConditionsThe notes for these assignments (separately or bundled) and the FREE Calculus Slides and Videos for You and Your Students slides that contain all the matching how-to videos are also in the Texmathlete store.
Preview of Instantaneous Rate of Change | Answer Key

Instantaneous Rate of Change | Answer Key

This worksheet focuses on estimating and calculating the instantaneous rate of change of functions at specific points. Students practice finding slopes of tangent lines using limits, difference quotients, and interpreting graphs or tables to approximate instantaneous rates. Problems include polynomial and quadratic functions. Ideal for deepening understanding of derivatives and preparing for calculus concepts.
Preview of Calculus AB Unit 1: Limits & Continuity Quiz | 10 MCQs, 2 Versions

Calculus AB Unit 1: Limits & Continuity Quiz | 10 MCQs, 2 Versions

This quiz includes 10 exam-style multiple-choice questions covering Calculus AB Unit 1: Limits (sections 1.2 through 1.6). It includes two parallel versions (A and B) with answer keys for each. Topics IncludeLimits graphicallyLimits from a tableEvaluating limits algebraicallyPolynomials, radicals, complex fractions, piecewise functions, absolute value functions, trigLimits at a vertical asymptoteIncluded10-question no calculator MCQ quizTwo parallel versions (Version A and Version B)Answer keys
Preview of Applications of Derivatives Unit

Applications of Derivatives Unit

🎯 Master the most important applications of derivatives This comprehensive 100+ page unit teaches students how to apply derivatives to real-world problems, including  tangent lines and graph analysis, optimization, and related rates. Designed for AP Calculus AB/BC, CLEP Calculus, Honors Calculus, and college courses, this resource builds both conceptual understanding and problem-solving mastery. ✔️ 100+ page complete unit ✔️ Concept lessons + worked examples ✔️ Scaffolded guided practice ✔️
Preview of AP Calculus: Area, Volumes of Revolution & Cross-Section Around the Room Circuit

AP Calculus: Area, Volumes of Revolution & Cross-Section Around the Room Circuit

Transform your AP Calculus review with this engaging, self-checking "Area and Volume Around the Room Circuit." This dynamic activity features 12 AP-style problems covering: ✅ Tangent Lines ✅ Area of Regions (5 problems) ✅ Volume of Revolution (4 problems) ✅ Cross-Sectional Volume (2 problems)Designed for collaborative learning, students work in pairs or trios, solving problems that guide them through the circuit until they return to their starting point. With a mix of 7 calculator and 6
Preview of Implicit Differentiation Circuit Training Plus Guided Notes and Matching

Implicit Differentiation Circuit Training Plus Guided Notes and Matching

Created by
Joan Kessler
This Implicit Differentiation activity is designed to give your students not only proficient in finding derivatives of implicitly defined functions, but to understand how these graphs have tangent lines which cannot be determined by previous methods. The resources contains three parts. Here's what's included:1. Guided illustrated notes, examples and a practice problem in a foldable format. Directions for printing the foldable notes are included. Solution key included.2. A self-checking circu
Preview of Design a Packaging to Maximize Volume

Design a Packaging to Maximize Volume

Created by
STEMifiED
📦 Design an Open-Top Box to Maximize Volume: A Phenomena-Based STEM Optimization Challenge (5E Lesson)Turn your classroom into a hub of innovation with this real-world, phenomena-driven STEM project where students investigate a powerful mathematical question: How can we maximize volume while working within real design constraints?In this engaging challenge, students act as engineers tasked with designing an open-top box from a flat sheet of material, using mathematics to determine the most ef
Preview of Calculus AB Unit 8A Quiz: 10 MCQs, Calculator Active, Versions A & B

Calculus AB Unit 8A Quiz: 10 MCQs, Calculator Active, Versions A & B

This quiz includes 10 exam-style multiple-choice questions covering the Calculus AB Unit 8A: Applications of Integration (sections 8.1 to 8.6, the non-volume sections). It includes two parallel versions (A and B) with answer keys for each. Topics IncludeAverage value of a functionDisplacement and total distance with integralsFinding position from velocity and a starting pointNet Change Theorem and accumulation functions and integralsArea between curves as a function of xArea between curves as a
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