Parallel Lines Project
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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
PreK - 1st
Calculus, Numbers, Telling Time
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
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
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
9th - 12th, Higher Education
Calculus
Also included in:Â Calculus Part 2 Notes (Derivative, Motion, Slope Fields, Euler's, Antideriv)
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.
9th - 12th, Higher Education
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
10th - 12th
Calculus, Math, Math Test Prep
Also included in:Â BUNDLE! Complete Derivative Rules Review for Calculus Success
Threads & Trends: Build a T-Shirt Company with Calculus
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
11th - 12th
Calculus, Engineering, Math Test Prep
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
Differential Calculus Quick Study Guide
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.
10th - 12th, Adult Education, Higher Education
Calculus
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.
9th - 12th, Higher Education
Calculus, PreCalculus
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
10th - 12th
Calculus
Also included in:Â Calculus AB Unit 1 COMPLETE Bundle | Notes, Quiz, Test, MCQ & FRQ Practice
Implicit Differentiation Circuit Training Plus Guided Notes and Matching
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
11th - 12th
Calculus, Math
Also included in:Â Calculus Derivatives and Differentiation Units Bundle
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
10th - 12th
Calculus
Absolute Extrema Exploration handout and answer key
This resource allows Calculus students to explore the ideas that underly the Extreme Value Theorem before the words "Extreme Value Theorem" are ever mentioned, building on foundations of precalculus, continuity, and horizontal tangent lines. Students will see multiple instances of functions that do not have absolute extrema, for various reasons. Then they are prompted to consider the "bare minimum" requirements for a function to be guaranteed absolute maximum and absolute minimum values. Next, t
11th - 12th, Higher Education
Calculus
Calculus AB Unit 6 Quiz: 10 Calculator-Active MCQs, Two Versions
This quiz includes 10 exam-style multiple-choice questions covering the first half of Calculus AB Unit 6: Integration and Accumulation of Change. Topics go through 6.6 (Properties of Integrals). It includes two parallel versions (A and B) with answer keys for each. Topics Include:Accumulation of changeRiemann sums and the Trapezoidal RuleSigma notation and definite integral notationThe Fundamental Theorem of Calculus (Part 1)Behavior of accumulation functionsFormat and UseQuiz or unit checkRevie
10th - 12th
Calculus
Calculus AB Unit 6 Test: MCQ and FRQ, No Calc. and Calc. Active, Two Versions
This test includes 16 exam-style multiple-choice questions and 3 multi-part free-response questions covering Calculus AB Unit 6: Integration and Accumulation of Change. The test has no-calculator and calculator-active sections and includes two parallel versions (A and B) with answer keys for each. Test Format16 multiple-choice questions (MCQs) and 3 multi-part free-response questions (FRQs)No Calculator and Calculator Active sections for eachAnswer key and FRQ scoring guidelines/rubrics included
10th - 12th
Calculus
AP Calculus: Implicit Differentiation Worksheet with detailed solutions
Objective This resource provides a structured approach to mastering Implicit Differentiation, guiding students from basic algebraic relations to complex transcendental functions. Content HighlightsScaffolded Problems: Covers basic circles, power rule fractions, and complex trigonometric equations.Practical Applications: Includes finding tangent lines, horizontal tangents, and second derivatives.Step-by-Step Solutions: Detailed keys designed to highlight the correct application of the Chain Rule
12th, Adult Education, Higher Education
Calculus
AP Calculus Washers & Discs - Arrow Sudoku Puzzle Activity
This is a 60 minute activity over disk and washer method for AP Calculus. This should be applicable for both AP Calculus AP and BC. It includes Volume via rotation around x-axis and y-axisVolume around vertical and horizontal lines that are not the axesNote that cylindrical shells can, of course, be used for a number of these problems, however no problem results in an impossible integral using washer or disc method, so shells is not absolutely necessary. The puzzle follows the same rules as a tr
10th - 12th, Higher Education
Calculus
Also included in:Â AP Calculus BC Puzzle Activities Bundle - Second Semester
Calculus AB Unit 7 Quiz (7.1-7.6): 10 MCQs, No Calculator, Versions A & B
This quiz includes 10 exam-style multiple-choice questions covering the first half of Calculus AB Unit 7: Differential Equations. Topics cover sections 7.1 through 7.6 (7.5, Euler's Method, is not part of this course and is not included). It includes two parallel versions (A and B) with answer keys for each. Topics IncludeModeling with differential equationsChecking solutions to differential equationsSlope fields: creating, interpreting, sketching a particular solutionFinding general solutions t
10th - 12th
Calculus
Halloween | Chain Rule Task Cards | 12th grade | Calculus | Higher Ed
Looking for a Calculus resource that helps students find derivative using the chain rule?This set of 🎃Halloween task cards is perfect for making learning engaging and stress-free! In these task cards students will use the chain rule to take derivatives of functions and find the slope of tangent lines. ✅ This resource includes:12 task cards (minimal prep - simply cut each sheet in fourths)An answer key for quick gradingThis resource is ideal for grades 11th-12th or higher ed.Grab it now and sta
11th - 12th, Higher Education
Calculus
Area Between Two Curves Investigative Activity | AP Calculus AB & BC
Introducing your AP Calculus AB or BC class to the concept of area between two curves has never been easier with this structured, investigative task! Designed to build understanding progressively, this resource walks students step-by-step through increasingly rigorous applications of definite integrals: Page 1 investigates the area between two basic lines, allowing students to connect geometric reasoning with integral setup. Page 2 moves on to switching the upper curve at a point, requiring s
10th - 12th
Calculus, Math
AP Calculus AB 1.1– Introducing Calculus: Can Change Occur at an Instant?
Build a deep understanding of one of the most important ideas in calculus: the transition from average rate of change to instantaneous rate of change.This resource introduces the fundamental question that led to the development of calculus and guides students step by step toward the concept of the derivative.✔ Average rate of change over an interval✔ The need for instantaneous rate of change✔ Secant lines and limiting processesPerfect for students beginning AP Calculus AB or BC.Build a deep unde
10th - 12th, Higher Education
Calculus
AP Calculus Applications of Integration - Domino Puzzle Activity
This is a 60 minute activity over applications of integration for AP Calculus. This should be applicable for both AP Calculus AP and BC. It includes Area of region between two curvesVolume via rotation around x-axis and/or y-axis (disc-method only)Volume using cross-sections xAverage valueNote that both washer-method, cylindrical shells, and rotation around vertical or horizontal lines that are not the axis is not part of this activity. I find that students need a little practice with the basic
10th - 12th, Higher Education
Calculus
Also included in:Â AP Calculus BC Puzzle Activities Bundle - Second Semester
Calculus AB Unit 8B (Volume) Notes: Guided Notes, Practice, Section MCQ & FRQ
These Calculus AB Unit 8B guided notes cover the volume sections Applications of Integration sections 8.7-8.12. They include worked examples and blank examples (teacher-led or for student practice). All sections include practice problems within the notes and end-of-section MCQs and an FRQ part. Topics IncludeVolumes of figures with known cross sections (squares, rectangles, triangles, semicircles)Volumes using the disc methodRevolutions about the x- and y-axes and other horizontal/vertical lines
10th - 12th
Calculus
Also included in:Â Calculus AB Unit 8 Notes Bundle: Guided Notes, Practice, Section MCQ & FRQ
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