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Preview of Finding Extrema & Intervals of Increase and Decrease | Calculus Derivative

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
Preview of Increasing, Decreasing and First Derivative Test | Calculus Notes & Video

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
Preview of Calculus 1 Final Exam Review 32 Questions & Full Solutions

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
Preview of Applications of Differentiation Lesson 3 of 7

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.
Preview of Calculus Integration of Inverse Trig Functions plus HW

Calculus Integration of Inverse Trig Functions plus HW

Created by
Joan Kessler
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
Preview of Calculus Notes: The First Derivative and Extrema

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.
Preview of Graph Analysis Using the 1st Derivative Notes, Examples, Handout, & Assignment

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
Preview of Calculus Summer Assignment

Calculus Summer Assignment

Created by
Idempotent
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
Preview of Advanced Curve Sketching Practice — Calculus AB/Calculus 1

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
Preview of Using Derivatives to Analyze Graphs | AP Calculus AB & BC | Circuit Activity

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
Preview of SIX Curve Sketching Worksheets + Key + Summary of Curve Sketching - Calculus 1

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
Preview of Calculus Test - Applications of Differentiation

Calculus Test - Applications of Differentiation

Created by
Infinity
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
Preview of Volumes of Solids with Known Cross Sections – 20 Task Card Set, HW, and Quizzes

Volumes of Solids with Known Cross Sections – 20 Task Card Set, HW, and Quizzes

Boost student engagement and mastery of AP Calculus AB concepts with this in-depth resource on Volumes of Solids with Known Cross Sections! This versatile digital download includes 20 task cards, FRQ writing prompts, scaffolded worksheets, and assessment-ready quizzes. Designed to blend conceptual understanding with procedural fluency, this resource is perfect for independent practice, collaborative stations, or AP test prep. ✅ Key Features • 20 Task Cards with both numerical and FRQ-style pro
Preview of Polar Functions, Parametric Functions, and Vector Functions End of Unit Review

Polar Functions, Parametric Functions, and Vector Functions End of Unit Review

Created by
Joan Kessler
This comprehensive End of Unit Review for Polar Functions, Parametric Functions, and Vector Functions will give your PreCalculus and AP PreCalculus students a solid review with extra practice practice. These activities,organizers, and worksheets also make a great review for AP Calculus BC Unit 9. What's included?4 versions of the review / assessment, each with 57 well chosen representative questions. Two versions are multiple choice format and two are free response. The assessments / revi
Preview of Improper Integrals Guided Notes Task Cards Quiz for Calculus BC  Calculus 2

Improper Integrals Guided Notes Task Cards Quiz for Calculus BC Calculus 2

Created by
Joan Kessler
In this Calculus lesson on Improper Integrals your students will evaluate improper integrals and determine convergence. Students will need to know L'Hopital's Rule for some problems and be proficient with infinite limits. Full typed solutions are included for your convenience. Types of problems include improper integrals with infinite bounds and infinite discontinuities, with notes covering all the rules and theorems and suggested methods for integrating. This lesson is part of the Unit on Tech
Preview of AB and BC Calc - Units 1-5 Spiral Reviews (Bundle) - AP Calculus Test Prep

AB and BC Calc - Units 1-5 Spiral Reviews (Bundle) - AP Calculus Test Prep

Created by
Scott Larimer
This bundle includes all individual Unit Spiral Reviews from Units 1 through 5 available from +Calc TLDR:Covers topics from: Unit 1 - Limits and ContinuityUnit 2 - Differentiation: Definition and Fundamental PropertiesUnit 3 - Differentiation: Composite, Implicit, and Inverse FunctionsUnit 4 - Contextual Applications of DifferentiationUnit 5 - Analytical Applications of DifferentiationStudents: Improved Retention: Regularly review key concepts.Increased Confidence: Master foundational skills.Dee
Preview of Calculus Area of Surface of Revolution Task Cards Quiz plus Formula Organizer

Calculus Area of Surface of Revolution Task Cards Quiz plus Formula Organizer

Created by
Joan Kessler
This set of problems on Area of the Surface of Revolution includes 6 integration problems which can be done by hand (though some use strong algebraic skills). They do not use Trig Sub or any methods from the Techniques of Integration Unit. . Problems that "work out" without having to resort to a CAS or numerical integration on a graphing calculator are often difficult to come by. Included:10 task cards: #1 - 3 are set-up only, #4 - 9 are revolved about the x-axis and #10 is about the y
Preview of AP BC Calculus (Limits) Quiz

AP BC Calculus (Limits) Quiz

Created by
Erik Chase
This is the first assessment I have given once introductions are made. Students are expected to know how to calculate limits and determine continuity upon completion of summer assignments. This assessment is followed by a derivatives assessment that covers all derivative rules up through implicit, though implicit is taught with further emphasis afterward into related rates work. This assessment is entirely algebraic, and no concept of derivative calculation use is necessary for it. Solutio
Preview of Limits with Piecewise Functions Quiz

Limits with Piecewise Functions Quiz

Created by
Shannon Lambert
This is a limits quiz designed for Calculus 1 students. It requires students to analyze graphs and use algebra to find limits of piecewise functions.
Preview of AP BC Calculus (Area, Volume, Length, Improper Int., Avg. Val.) Quiz/Worksheet

AP BC Calculus (Area, Volume, Length, Improper Int., Avg. Val.) Quiz/Worksheet

Created by
Erik Chase
What a way to combine a bunch of integration! This quiz involves a little bit of everything in terms of integrals. All that is assessed is mentioned in the title, and I gave this several times before as a bit of a review as well as a follow-up quiz for recalling several concepts in one. I labeled it as Quiz/Problem Set as you can select which is convenient for you for use in your class. You can even assign as a take-home assessment or for group work. Solutions to both problems are in detail
Preview of AP Calculus Limits and Continuity Resources

AP Calculus Limits and Continuity Resources

Created by
Scott Reis
Includes 2 Worksheets, a Practice Quiz, and a detailed answer key. These resources have a myriad of carefully chosen problems that are aligned with the AP Calculus AB curriculum set forth by the College Board. Students will practice finding limits: numerically, graphically, and analytically. They will also distinguish between continuous and discontinuous functions and know the difference between a removable and non-removable discontinuity. This resource should be purchased together with: "Limi
Preview of Calculus: Finding Limits Using Limit Laws

Calculus: Finding Limits Using Limit Laws

This lesson includes step-by-step instructions and examples. There are 10 questions total, but there are 2 formats. Page 1: step-by step examples Page 2-4: 10 problems to solve with room to show work (This is best for tests, quizzes, or if you want to give your students the space to show their work and not have to use their own paper.) Page 5: The EXACT SAME 10 problems with. no room to show work (This is best for homework, or anything where you want the student to turn in their work on their ow
Preview of L'Hopital's Rule Scavenger Hunt

L'Hopital's Rule Scavenger Hunt

L'Hôpital's Rule Scavenger Hunt – 15 Problem Review Activity (Includes Trig & Transcendental Functions)Engage your students in a fun and interactive way to review L’Hôpital’s Rule with this 15-question scavenger hunt! Designed for Calculus classrooms, this activity helps reinforce students' understanding of limits involving indeterminate forms. Students will solve problems and "hunt" for the next clue using their answers—perfect for promoting movement, collaboration, and critical thinking. What
Preview of Fundamental Theorem of Calculus Definite Integral Task Cards and HW

Fundamental Theorem of Calculus Definite Integral Task Cards and HW

Created by
Joan Kessler
These task cards are a great activity to reinforce your students' skills and increase their fluency with the Fundamental Theorem of Calculus. There are no problems requiring u-substitution. Task Cards really do work! They get the students engaged and keep them motivated to go through all of the problems, more so than a simple worksheet. Included: 16 Task Cards: There are 2 sets of the 16 cards, one in color and one in black and white. # 1 - 8 depict graphs of functions with shaded regions
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