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Preview of 1st & 2nd Derivative Tests: Increasing Decreasing Intervals, Extrema, Concavity

1st & 2nd Derivative Tests: Increasing Decreasing Intervals, Extrema, Concavity

No Prep & Digital! Do your Calculus 1 students need practice using derivatives to find intervals where a function is increasing or decreasing, relative & absolute extrema, and intervals where a function is concave up or down using the first or second derivative test? No application problems are included, perfect for students to solidify understanding of using 1st & 2nd derivative tests. Practice Determining:⭐ Critical points ⭐ Intervals of increase/decrease⭐ Points of inflection⭐ Abso
Preview of AP Calculus AB Guided Notes - Increasing and Decreasing Functions and the FDT

AP Calculus AB Guided Notes - Increasing and Decreasing Functions and the FDT

Aligned with Calculus for AP (2ed.) by Ron Larson and Paul Battaglia, these guided notes go through Chapter 3.3 - Increasing and Decreasing Functions and the First Derivative Test, and includes all theorems, definitions, and problems.
Preview of Increasing & Decreasing Functions with Calculus: Interactive Drag & Drop

Increasing & Decreasing Functions with Calculus: Interactive Drag & Drop

Created by
Niki Math
Master Monotonicity with the First Derivative Test! 🚀🔢 Turn the abstract concepts of Calculus into a hands-on, engaging experience! This digital activity challenges students to explore the behavior of functions using the power of derivatives. No more messy scribbles—just pure logic and interactive fun as they determine exactly where a function rises and where it falls! Why this Calculus Activity "Rocks" the Classroom: 🎸 Tactile "Drag & Drop" Learning: 🗝️ Each slide presents three challenging
Preview of Increase and decrease of functions

Increase and decrease of functions

Created by
Wal San
Topic: Increase and Decrease of Functions Objectives: In this lesson, students will be able to ●determine intervals of increase and decrease of a function ●find the coordinates of critical points using the first derivative. This presentation is ready to be used in class by teachers. You may need to make small changes depending on the details you teach. My PowerPoint presentations give you all what you need to teach in a classroom. Each presentation contains the following slides: Recall Sl
Preview of Calculus Applications of Derivative and Curve Sketching Digital Activities

Calculus Applications of Derivative and Curve Sketching Digital Activities

Created by
Joan Kessler
Give your Calculus students extra practice determining Increasing and Decreasing Functions, Concavity, Points of Inflection, and Analyzing Polynomial graphs. These 5 No Prep Digital activities from Applications of Derivatives are essential practice for curve sketching! Use as a class activity, assignment, or assessment. There are over 23 questions plus notes and explanations. Students will explore the roles of f' and f'' in determining the shape of a curve. Most question are drag and drop
Preview of First Derivative Test CIRCUIT worksheet | worked solutions | Digital and Print

First Derivative Test CIRCUIT worksheet | worked solutions | Digital and Print

Created by
Hoff Math
Students practice using the First Derivative Test to find intervals of increasing/ decreasing and coordinates of relative extrema in this self-checking CIRCUIT ACTIVITY that includes both a printable version and a digital version which can be given as homework, classwork, or extra practice. This resource covers topics 5.3 and 5.4 of the AP Calculus CED. The digital version uses Google Forms.Bundle and save! Skip the prep and grab the Calculus Course Full Curriculum Bundle. This all-in-one resou
Preview of Applications of Differentiation

Applications of Differentiation

Created by
Wal San
Topics: Equations of Tangent and Normal Rolle's Theorem The Mean value Theorem for Differentiation Increase and Decrease of Functions The Extreme Values Concavity Intervals and Points of Inflection Optimization Asymptotes and Infinity Branches Studying the Behaviour of Functions This presentation is ready to be used in class by teachers. You may need to make small changes depending on the details you teach. My PowerPoint presentations give you all what you need to teach in a classroom
Preview of Calculus 1st First Derivative Test Digital Maze

Calculus 1st First Derivative Test Digital Maze

Created by
Joan Kessler
Your Calculus students use the 1st Derivative Test in this fun digital Zombie themed activity to determine if the given function is increasing, decreasing, or neither at a given point. This activity is designed to be used without Graphing calculators. Each answer leads them to the next question. There are 16 problems and students must complete 15 of them to correctly complete the maze. Derivatives include the product rule, quotient rule, chain rule, sine, cosine, inverse sine, logarithmic,
Preview of Calculus Related Rates Digital plus Print

Calculus Related Rates Digital plus Print

Created by
Joan Kessler
Here is a perfect way to assess your Calculus students' skills with Related Rates Problems. There are 8 problems including problems such as: Increasing and decreasing circles and squaresVolume with spheres Conical shapesAngle problemsThe digital version of is designed with Google Forms™ which means it is paperless and NO PREP for you and will be graded automatically for you. It is also editable. The questions in the digital resource are multiple choice. The Printable version of the questio
Preview of First and Second Derivative Tests - Create Your Own Matching Activity (Slides)

First and Second Derivative Tests - Create Your Own Matching Activity (Slides)

In this activity students will be creating four different functions in which they will find their derivatives, determine all critical points, extrema, intervals of increase and decrease and intervals of concavity. Students will also be asked to find a graph of the original function. The activity can be purchased as a Word document (see alternate listing) or as a Google Slide and easily used as an online activity, or, can be printed, collected and used as a classroom matching game using all of st
Preview of Derivative Product and Quotient Rules WORKSHEET | Digital and Print

Derivative Product and Quotient Rules WORKSHEET | Digital and Print

Created by
Hoff Math
Calculus students will strengthen their skills with this ready-to-go worksheet, where they find derivatives using the product rule and quotient rule. This comprehensive worksheet includes a variety of exercises that progressively increase in difficulty, allowing students to practice applying the product and quotient rules to various functions. The worksheet comes with an answer key for the convenience of the teacher, and for a digital and self-checking experience, a Google Forms version is a
Preview of Studying the behavior (variations) of functions

Studying the behavior (variations) of functions

Created by
Wal San
Topic: Studying the Variations of Functions Objectives: In this lesson, students will be able to ● find the domain of different types of functions See all thumbnails the infinity branches and asymptotes of rational functions ●find the critical points and intervals of increase and decrease of different functions ●find the points of inflection and the concavity intervals of different functions ●sketch the graphs of functions This presentation is ready to be used in class by teachers. You ma
Preview of Calculus Matching Graphs of Derivatives, f, f', f''  Digital Activity

Calculus Matching Graphs of Derivatives, f, f', f'' Digital Activity

Created by
Joan Kessler
In this Calculus Interactive Digital Graphs of the Derivatives Using Curve Sketching your students will examine three graphs on each slide to determine which is the graph of original function, the graph of first derivative, and the graph of the second derivative. They will use their knowledge about derivatives, increasing and decreasing functions, max's and min's, and points of inflection to complete the assignment. IncludedPDF with links to the product. Detailed illustrated instructions on a
Preview of Calculus  Curve Sketching Introduction Digital Cards

Calculus Curve Sketching Introduction Digital Cards

Created by
Joan Kessler
This Intro to Curve Sketching Digital Task Card Activity will introduce your Calculus students to Curve Sketching by applying what they have learned about the first and second derivatives. In this activity, students analyze and identify graphs based upon a table of values for f(x) and f'(x). This makes a great activity for class discussion. I use this activity before doing any of the sections in the unit, before extrema, increasingdecreasing, critical values, absolute and relative maxi
Preview of AP Calculus Derivative Review

AP Calculus Derivative Review

AP Calculus Derivative Review Prepare your AP Calculus students for success with this comprehensive 30-question derivative review worksheet! This resource is designed to reinforce key derivative concepts and applications, ensuring your students are ready for the AP exam or any rigorous calculus assessment. What's Included:30 Multi-Part Questions: This worksheet covers a wide range of derivative topics, from basic differentiation rules to advanced applications like related rates, optimization, a
Preview of Calculus Limits and Continuity Quiz Bundle for Google™ Distance Learning

Calculus Limits and Continuity Quiz Bundle for Google™ Distance Learning

⭐⭐This is a bundle of eight digital daily quizzes for the unit on Limits and Continuity. ⭐⭐ Students have the ability to answer the question prompts using text boxes on the Google Slides or by using a digital student answer sheet which is included as a Google Form Quiz. Teacher suggestions and instructions for grading the assignments automatically are included. There are 2 versions of each daily quiz for 8 lessons in the unit which can be assigned, along with a black-line master of the two f
Preview of Calculus Limits and Continuity Google Quiz

Calculus Limits and Continuity Google Quiz

⭐⭐This digital Google Slides resource will have three options for a free-response style prompt to analyze and discuss continuity and justify points of discontinuity using the three-part definition of continuity assessment on Limits and Continuity.⭐⭐ Using Google Forms for a self-grading response, using Google Slides for a direct response, or printing the Blackline Master to find limits by graphical methods. Students have the ability to answer the question prompts using text boxes on the Goo
Preview of Calculus Evaluating Limits Bundle Homework Worksheets, Quiz and Test

Calculus Evaluating Limits Bundle Homework Worksheets, Quiz and Test

Created by
DLJJ Teaching
Bundle Includes 3 Products (2 different homework worksheets, 2 forms of quiz and 2 forms of unit test: 2 Homework Worksheets - The first worksheet contains all trig functions with limits at removable discontinuities and the second is a mixture of trig and rational functions with limits at removable and essential discontinuities (one-sided) as well as some limits that can be evaluated by substitution. Students will need some knowledge of trig substitutions and basic trig limits. Quiz - The qui
Preview of Derivatives Bundle Quiz and Test Higher Order, Trig Functions, Motion Problems

Derivatives Bundle Quiz and Test Higher Order, Trig Functions, Motion Problems

Created by
DLJJ Teaching
This bundle includes my quiz and unit test of my derivatives unit covering higher order derivatives, derivatives of trig functions, and motion problems. Included are two versions of the quiz and test. I use one version as a review. The quiz includes higher order derivatives of polynomial functions as well as application problems involving displacement, velocity, acceleration within falling body motion problems and particle motion along a line problems. The test adds trig problems. NOTE: problem
Preview of Calculus Derivatives Unit Quiz and Test Bundle

Calculus Derivatives Unit Quiz and Test Bundle

Created by
DLJJ Teaching
Assesses definition of derivative, differentiability, graphs of derivatives, power rule, sum and difference rule, product rule, equation of tangent line, instantaneous velocity. There are two forms of the quiz and the test. I use one form as my review. These worksheets are provided to you through Google Drive. You will have access to a PDF version there as well as a version made with Google Slides. Answer keys are included. Please see each product preview for a peek at all pages. Feel free to co
Preview of Calculus Review and Quiz Higher Order Derivatives and Motion Problems

Calculus Review and Quiz Higher Order Derivatives and Motion Problems

Created by
DLJJ Teaching
Review and quiz of higher order derivatives of polynomial functions as well as application problems involving displacement, velocity, acceleration within falling body motion problems and particle motion along a line problems. These worksheets are provided to you through Google Drive. You will have access to a PDF version there as well as a version made with Google Slides. Answer keys are included. Please see each product preview for a peek at all pages. **This product also included in a bundle w
Preview of Unit 1: Limits & Continuity Google Form Quiz

Unit 1: Limits & Continuity Google Form Quiz

Created by
Mrs Fitz Math
This nine question Google Form quiz assesses students' understanding of the following topics: 1. Limits & Continuity 2. Infinite Limits & Limits at Infinity 3. Intermediate Value Theorem & Graphing Adjustments 4. Limit Definition of Derivative 5. Limit Laws & The Squeeze Theorem The quiz is a combination of multiple choice and free-response questions. Once purchased, you will get your own copy of the quiz in which you can edit all settings and point values of questions.
Preview of Derivatives and Their Applications -Christmas Practice/Quiz - 12 review problems

Derivatives and Their Applications -Christmas Practice/Quiz - 12 review problems

Created by
Niki Math
This is a digital Christmas themed practice/quiz/review/digital task cards on derivatives and their application. Students are provided with 12 various challenging problems as there are 4 slides/cards and 3 problems per slide/card. Students are asked to find 1 problem) the first derivative of a given function 2 problem) the second derivative of a function 3) the derivative of a function at a given point 4) critical points of a function 5) intervals of monotonicity of a function 6) relative extrem
Preview of Calculus Limits Review and Quiz

Calculus Limits Review and Quiz

Created by
DLJJ Teaching
I give this quiz to my calculus 1 students after introducing limits. The quiz covers evaluating by substitution and evaluating from a graph. Includes polynomial functions, radical functions, and rational functions. Several problems contain removable discontinuities. No trig functions, no essential discontinuities, and no limits at infinity are included in this introductory quiz. There are two versions of the quiz; I use one as a review. This product is available through Google Drive. You wil
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