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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 Increasing & Decreasing Functions & Extrema (Relative & Absolute) DRAG & DROP

Increasing & Decreasing Functions & Extrema (Relative & Absolute) DRAG & DROP

Created by
Niki Math
This is an engaging Calculus drag and drop activity on interval of monotonicity and relative and absolute extrema of polynomial, rational and radical functions. Students have 12 task cards - 6 per slide. Each card contains two problems A and B. Slide 1 (cards 1-6) -students have to determine the interval(s) of increasing/decreasing of the functions given. The first function is polynomial and the second is rational or radical. On slide 2 students have two tables and the answers are given there a
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 Using Derivatives to Determine Intervals of Increase & Decrease Digital Activity

Using Derivatives to Determine Intervals of Increase & Decrease Digital Activity

Looking for a self-checking digital activity to engage Calculus students who are practicing using the derivative to determine when a function is increasing or decreasing? In this no prep digital activity, students will use the sign of the derivative to determine the intervals when a function is increasing or decreasing. In the self-checking Google Sheets activity, Triple 7 Jackpot, students must correctly evaluate a limit to scratch off their digital lottery ticket. As students correctly answ
Preview of Derivatives to Determine Increasing & Decreasing Christmas Digital Activity

Derivatives to Determine Increasing & Decreasing Christmas Digital Activity

Looking for a self-checking digital Christmas activity to engage Calculus students who are practicing using the derivative to determine when a function is increasing or decreasing? In this no prep digital holiday activity, students will use the sign of the derivative to determine the intervals when a function is increasing or decreasing. In the self-checking Google Sheets activity, Peppermint Payday, students must correctly evaluate a limit to scratch off their digital lottery ticket. As stud
Preview of Increasing + Decreasing vs. Positive + Negative Roller Coaster Ride

Increasing + Decreasing vs. Positive + Negative Roller Coaster Ride

Increasing & Decreasing vs. Positive + Negative Roller Coaster Google Slides Activity Students will identify the intervals of increasing and decreasing on a variety of polynomials that have been adapted to look like roller coasters. This is a great reminder for students to read the graph from left to right and helps them get used to identifying the correct intervals. Great for Distance Learning! Check out the other Roller Coaster Activities!
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 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 Calculus Curve Sketching Vocabulary Google Sheets Pixel Art

Calculus Curve Sketching Vocabulary Google Sheets Pixel Art

This is a set of 12 questions that can help your students practice the vocabulary that is associated with the curve sketching unit. For example, words used in this activity, are: increasing, decreasing, maximum, minimum, zero, concave up, concave down, etc. In order to use this product, your students must be able to use google sheets to type in their answers. If they type in the answer correctly, pieces to a picture will appear. If they type their answer in incorrectly, the answer box will turn
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 Calculus Curve Sketching Problems Pixel Art

Calculus Curve Sketching Problems Pixel Art

This is a set of 12 questions that your students can use to practice working with curve sketching. In this set, students must be familiar with absolute maximum, absolute minimum, relative maximum, relative minimum, increasing, decreasing, concave up, and concave down. Students solve each question. They type in their answers rounded to three decimal places. If they are correct, pieces to the mystery picture appear. If they are incorrect, the box turns red and no pieces to the picture appear. Thi
Preview of Key Characteristics of Polynomial Function Graphs

Key Characteristics of Polynomial Function Graphs

This is a Google Form of a set of task cards of polynomial function graphs (including powers, negative powers, rational powers, and regular polynomials) asking for key characteristics about each graph. These key characteristics include: domain, range, symmetry, increasing, decreasing, end behavior, relative minimums, and relative maximums.
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 Matching a Function and the Graph of Its Derivative Digital Activity

Matching a Function and the Graph of Its Derivative Digital Activity

Looking for a digital activity to engage students who are practicing graphing f', the derivative of f? In this self-checking digital activity, students will match a function's graph with the graph of its first derivative. As they answer, they will receive instant feedback at the end of the activity! Students will use key features such as increasing and decreasing to help them identify the graph of the derivative. In this self-checking activity, students organize the tiles to make appropriate
Preview of First and Second Derivative Graphical Properties of a Function Digital Activity

First and Second Derivative Graphical Properties of a Function Digital Activity

First and Second Derivative Graphical Properties of a Function Digital Activity - Mystery Puzzle. Calculus students will match the description of a graphical property of f(x). Each incorrect answer will light of red while correct responses are green and reveal one piece of the mystery image. This is a self checking activity!!! Concepts of f'(x) and f''(x) include f(x) Increasing and Decreasing First and Second Derivative TestPoints of Inflection of f(x)Relative Max and Relative Min on f(x)Conc
Preview of Matching the Graphs of First and Second Derivative (f' and f'') Digital Activity

Matching the Graphs of First and Second Derivative (f' and f'') Digital Activity

Looking for a digital activity to engage students who are practicing graphing f' and f'', the first and second derivative of f? In this self-checking digital activity, students will match a function's graph with the graph of its first and second derivative. As they answer, they will receive instant feedback at the end of the activity! Students will use key features such as increasing and decreasing and concavity to help them identify the graph of the first and second derivative. Three cards ma
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 Curve Sketching Using Calculus - Exploring & Matching Activity

Curve Sketching Using Calculus - Exploring & Matching Activity

Created by
Niki Math
This is a Google Slide product - an engaging explore and match activity for analyzing and sketching graphs of rational functions, radical, exponential, logarithmic, trig and inverse trig composite functions using calculus. Students will use limits, first and second derivatives to provide information about function behavior and then sketch the graph of the function. Activity Directions: In each slide in sub problem a) students are given a function and are instructed to explore it (to ide
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
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