Percent Increase and Decrease Quiz
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Finding Extrema & Intervals of Increase and Decrease | Calculus Derivative
Help your students build strong calculus foundations with this comprehensive and visually clear worksheet + mini-lesson on relative and absolute extrema and increasing/decreasing intervals! Students will learn how to use first and second derivatives to analyze functions, identify critical points, and determine where functions are increasing or decreasing — all through step-by-step guided problems. What’s Included:✅ Engaging Lesson Page explaining: Critical points Relative and absolut
9th - 12th
Calculus, Math Test Prep, PreCalculus
Increasing, Decreasing and First Derivative Test | Calculus Notes & Video
Increasing, decreasing and First Derivative Test lesson for Calculus with guided notes, homework, and video lesson. Teach intervals of increase and decrease, derivative sign charts, and relative extrema.This is one lesson from my Calculus Unit 3 – Applications of Derivatives curriculum. It includes guided notes, homework practice, a full video lesson, and detailed step-by-step answer keys to support student understanding. This lesson is designed for a guided, non-AP Calculus course and works wel
11th - 12th, Higher Education
Calculus, Math
Calculus 1 Final Exam Review 32 Questions & Full Solutions
This pdf file contains 8 pages of course review questions and 6 pages of solutions to a standard University Level Calculus 1 ( Differential Calculus, AP Calculus ) course. There are 32 questions in total (some questions with multiple parts). The first question is a true/false question with 8 parts), and the rest are long answer questions. Full worked-out solutions are also included. Topics covered include: Evaluating limits (two-sided, one-sided, limits at infinity, limits using the Squeez
12th, Adult Education, Higher Education
Calculus, Math Test Prep
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 ---Con
9th - 12th, Higher Education
Calculus, Math
Applications of Differentiation Lesson 3 of 7
This lesson covers finding extrema on an open interval and the first derivative test (increasing, decreasing and extrema). It also covers given the graph of a function, sketching the derivative.
10th - 12th
Calculus
AP Calculus AB: Unit Exam Derivative Application Answer Key
Students will be able to justify where a function is increasing and decreasing, concave up and concave down. They will be able to justify a function’s extrema and inflection points. They will be able to apply the Extreme Value Theorem, the First Derivative Test, the Concavity Test, the Second Derivative Test, and the Mean Value Theorem. Students will be able to accurately sketch a curve given its derivative graph and sketch a curve’s derivative given its graph.
Students will be able to use th
12th
Calculus
Calculus Integration of Inverse Trig Functions plus HW
This classroom resource, Integration of Inverse Trig Functions Task Cards plus Quiz/HW Graphic Organizer, will give your students extra practice with this difficult topic. Activity Based Learning with Task Cards really does work to help reinforce your lessons. Task and station cards get your students engaged and keep them motivated. Use all at once or as many as you like. Directions for using Task Cards included in this resource. Included in the Lesson: 20 Task Cards which increase in diffic
11th - 12th, Higher Education
Calculus, Math
Also included in: Calculus Integration and Accumulation of Change Functions Bundled Unit
Calculus Notes: The First Derivative and Extrema
A set of Calculus notes with an intro to the first derivative, including intervals of increasing/decreasing, relative extrema, and absolute extrema, as well as appropriate practice problems.
10th - 12th
Calculus, Math, PreCalculus
IB Math SL - Applications of Derivatives PowerPoint Notes
These PowerPoint notes (81 pages) are for applications of derivatives. The main topics of the notes revolve around increasing/decreasing functions, local minimums and maximums, concavity, points of inflection, kinematics, and optimization.
9th - 12th
Calculus, Math
Graph Analysis Using the 1st Derivative Notes, Examples, Handout, & Assignment
This resource includes notes, examples, and assignment using the 1st derivative to analyze functions. Topics included are: · Critical Numbers · Intervals of Increase and Decrease · Relative Extrema · Absolute Extrema Function types included are: · Quadratic · Cubic · Rational · Trigonometric
11th - 12th, Higher Education
Calculus
AP Calculus - Unit 5 - REVIEW CIRCUIT (with Solutions!)
This circuit contains 32 problems that cover all of AP® Calculus Unit 5 - Analytical Applications of the Derivative (Mean Value Theorem, Absolute Extrema, Relative Extrema, Increasing/Decreasing Intervals, Concavity, Second Derivative Test, Connecting Graphs of a Function and its Derivative, Optimization, Behavior of Graphs of Implicit Relations). To allow for greater flexibility, the circuit is provided in three forms. The first is the complete 32 problem circuit. The second is 17 questions c
11th - 12th, Higher Education
Calculus, Math
Also included in: AP Calculus - Units 1 thru 8 - BUNDLE of REVIEW CIRCUITS (w/ Solutions!)
Calculus Summer Assignment
Self-executing lessons are ideal for sub-plans, as supplemental material for "flipped" classrooms, or for any teacher wanting to leverage their limited instructional time. The learning of basic notation and rules is accomplished via pattern recognition. This self-executing lesson will get precalculus students started learning calculus over the summer so that next year begins smoothly. It would be particularly useful for calculus teachers needing to accelerate the pacing of their curriculum. DA
10th - 12th
Calculus, PreCalculus
Calculus Derivatives Bundle of Fun
Even Calculus kids need to have fun! This Derivatives Fun Bundle for Calculus plus Bonus is just what they need for a boost. Though these resources are engaging and fun, they are also rigorous and comprehensive and designed to increase proficiency in this unit. Use for end of unit, end of year review, Sub folder, extra credit, or a fun assessment. All answer keys included. Some also include Homework and quizzes. ________________________________________________________ Add to your bundle! Email
11th - 12th, Higher Education
Calculus
CALCULUS: LOCAL EXTREMA, INFLECTION POINTS AND INTERVALS OF CONCAVITY
PREREQUISITE KNOWLEDGE:
The student should know how to find the derivative of any given function.
This step by step guide will meet the following objectives:
Objectives:
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Upon completion of this section, the student should be able to:
• Use derivatives to determine the intervals of increase and decrease of a given function
• Use the First Derivative Test to determine any local maximum or minimum points
• Find inflection points
• Use the concav
11th - 12th, Adult Education, Higher Education
Calculus
Also included in: BASIC CALCULUS
Advanced Curve Sketching Practice — Calculus AB/Calculus 1
Transform curve sketching from a memorized checklist into a meaningful reasoning process. This Calculus AB practice packet gives students 10 full curve-sketching problems that build conceptual understanding through progressively challenging function types — polynomial, rational, trigonometric, logarithmic, exponential, and piecewise. Each question leads students through: Domain and range reasoning Continuity and differentiability Critical points and increasing/decreasing intervals Concavi
9th - 12th, Higher Education
Calculus, Graphing
Also included in: Advanced Curve Sketching Practice & Key— Calculus AB/Calculus 1
Using Derivatives to Analyze Graphs | AP Calculus AB & BC | Circuit Activity
Optimize your AP Calculus AB and BC classes with this engaging Around-the-Room Circuit/Scavenger Hunt designed to review how derivatives can determine the characteristics of graphs! This interactive activity features 14 carefully crafted problems focusing on the first and second derivative tests to identify local maximums and minimums, points of inflection, and whether a graph is increasing or decreasing, as well as concavity. Key Features: Problem Types: 4 table interpretation problems (2 tabl
10th - 12th
Calculus, Math, Math Test Prep
Also included in: BUNDLE! Complete Derivative Rules Review for Calculus Success
SIX Curve Sketching Worksheets + Key + Summary of Curve Sketching - Calculus 1
This product (pdf) can be used as an in-class activity / homework / group work for curve sketching in differential calculus. The first 2 pages does a review of curve sketching. There are 6 curve sketching questions, followed by their key. For each question, the student must find the following: - domain - x,y intercepts - horizontal asymptotes (using limits) - vertical asymptotes (using limits) - increasing/decreasing (using first derivative) - local max/min (first derivative test) - concavity
12th, Adult Education, Higher Education
Calculus, Math Test Prep
Thanksgiving: Calculus First & Second Derivative Tests Pixel Maze Match Bundle
Thanksgiving: Calculus First & Second Derivative Tests 3-in-1 Pixel-Maze-Match Mega Set – the perfect no-prep bundle! Includes self-checking pixel art with mystery picture reveals, differentiated maze challenges (correct path = success), and matching games for instant pair-and-check feedback. Ideal for differentiation, group work, sub days, homework, or spiral review. Students analyze functions, including quadratics, cubics, quartics, rationals, and those with rational exponents, to determine cr
10th - 12th, Higher Education
Calculus
Unit 5 : Analyzing Derivatives - Free Response (FRQ) Stations - AP Calc AB/BC
Help students review all skills from Units 5: Analytical Applications of Differentiation needed to be successful on an AP Calculus AB/BC Free Response (FRQ) type questions. Each station reviews an AP Calculus s section from Unit 3 corresponds to aspects of FRQ question types seen on released practice exams. The units aligned to AP Calculus curriculum specifically included are 5.1 Using the Mean Value Theorem 5.2 Extreme Value Theorem, Global Versus Local Extrema, and Critical Points 5.3 Determ
10th - 12th
Calculus
Also included in: Unit 1-8 Free Response Review Stations (FRQ) Activity - AP Calc AB
Christmas: Calculus First & Second Derivative Tests Pixel Maze Match Bundle
Christmas: Calculus First & Second Derivative Tests 3-in-1 Pixel-Maze-Match Mega Set – the perfect no-prep bundle! Includes self-checking pixel art with mystery picture reveals, differentiated maze challenges (correct path = success), and matching games for instant pair-and-check feedback. Ideal for differentiation, group work, sub days, homework, or spiral review. Through analyzing functions such as quadratics, cubics, quartics, rationals, and equations with rational exponents, students will co
10th - 12th, Higher Education
Calculus
AP Calculus Applications of Derivatives Multiple Choice Practice – AB/BC
AP Calculus Applications of Derivatives Multiple Choice Practice – 25+ AP-style questions covering related rates, optimization, straight-line motion, curve analysis, and the Mean Value Theorem. Aligned to AP College Board CED Units 4-5. Helps students master real-world applications of differentiation and build exam readiness without unnecessary trick questions.What's Included:Original AP-style multiple choice questions covering:Straight-line motion (position, velocity, acceleration)Interpreting
9th - 12th, Higher Education
Calculus, Math Test Prep, Other (Math)
Calculus Test - Applications of Differentiation
This is a 12-question test on Applications of Differentiation that can also be used as homework, review, or self-teaching. * Easel Activity included. Included in this file are: 1. The chapter test with complete, detailed, teaching-oriented solutions. A student could use this to self-teach the concepts. 2. The test with answers only, no solutions. 3. The blank test with room for students' responses. 4. The blank test condensed to two pages, with no room for students' responses. This gives you the
10th - 12th, Higher Education
Calculus, Math, Math Test Prep
Also included in: Calculus Test Bundle - 7 Tests - Limits, Derivatives, Integrals
Calculus AB Review Parts 3&4: Guided Notes, Practice Problems, Mini Exams
This is Parts 3 and 4 of a 6-part comprehensive review series for Calculus AB. These two parts align with many sections of Units 3, 4, and 5 but are reorganized for more effective review. Some topics (like the chain rule) are covered in another resource, and others (like the IVT) have been moved here for a more natural flow. See below for the list of topics covered. This resource is designed to help students build confidence and prepare for end-of-year exams. Topics Include:Part 3: Derivative Ap
10th - 12th
Calculus
Calculus AB Unit 6 Assessment Bundle: MCQ Quiz & Mixed Test (Two Versions Each)
This assessment bundle includes a Unit 6 quiz and a Unit 6 test designed for Calculus AB or a similar introductory course. The quiz is calculator-active MCQ practice, and the test is a mixed-format assessment with MCQs and FRQs, including no-calculator and calculator-allowed sections. Both assessments include two parallel versions (A and B) with answer keys (and FRQ scoring rubrics for the test). Topics Include:Accumulation of changeRiemann sums and the Trapezoidal RuleSigma notation and definit
10th - 12th
Calculus
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