Percent Increase and Decrease Quiz

Students use the graphing calculator to create graphs of f, f’, and f”, and make observations about conditions that cause f to be increasing f to be decreasing, Extrema to occur A point of inflection based upon information from various graphs. This is a great lesson for students to use prior to knowing all the analytical techniques for taking a derivative. Using the built-in features on the graphing calculator students can graph a derivative of a function and a second derivative of a f

10th - 12th, Higher Education

Calculus, Math

Application of Derivatives -15 Open-Ended Questions (solutions provided)

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These are 15 open-ended carefully chosen questions concerning the following: ❄ determining intervals of increasing and decreasing (2nd , 3th and 9th problems) ❄ finding local and absolute extrema (1st , 7th and 12th problems) ❄ finding inflection points (10th and 15th problems) ❄ determining intervals of concavity (9th problem) ❄ finding the slope and the equation of the tangent and the normal lines at a point ( 5th , 8th ,11th , 13th and 14th problems) ❄ computing second and highe

11th - 12th

Calculus

Also included in: THE ULTIMATE AP CALCULUS AB & BC BUNDLE (3100+ problems)

Using the Chain Rule with Graphical Information Task Cards

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This set of 20 task cards presents students with graphical information about functions f and g. Then students are asked to consider several composite functions 1. f(g(x)) 2. g(f(x)) 3. f(x^2) 4. f(-x^2) 5. f(f(x))

11th - 12th, Higher Education

Calculus, Math

Also included in: Chain Rule Activity Bundle

Derivatives of Logarithmic Functions - 15 Practice Problems

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These are 15 practice problems on differentiation of logarithmic functions. The first twelve of the problems are finding the first derivative of common and composite logarithmic functions. The problem 13 is finding the tangent line of a logarithmic function at a given value of x. Problems 14 and 15 are determining if a logarithmic function is increasing or decreasing at three different values of x. I hope the practice sheet gives enough room for your students to show work. The product can be use

11th - 12th

Calculus

Also included in: THE ULTIMATE AP CALCULUS AB & BC BUNDLE (3100+ problems)

CALCULUS 1st Semester REVIEW - "Gingerbread" Task Cards Christmas Activity

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This fun gingerbread cookies themed activity will help your students review such topics as ❄ first and second derivatives ❄ evaluating limits using L’Hospital’s Rule ❄ finding asymptotes of functions ❄ intervals of increasing and decreasing ❄ critical points and local extrema ❄ intervals of concavity and inflection points ❄ finding the equation of a tangent line ❄ implicit differentiation ❄ logarithmic differentiation The functions included are rational, radical, trigonometric, inverse trig

11th - 12th, Adult Education, Higher Education

Calculus, Math

Also included in: THE ULTIMATE AP CALCULUS AB & BC BUNDLE (3100+ problems)

Calculus: The First Derivative Test – Comprehensive "3-in-1" Practice

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Master the landscape of any function! 🎸 This intensive Calculus resource from NikiMath Store provides students with a massive set of 20 problems to perfect their skills in classifying critical points and finding relative extrema. It’s the ultimate "workout" for the First Derivative Test. It’s Math that Rocks! 💎✨⚠️ IMPORTANT: This is a PRACTICE-BASED resource. It includes 20 deep-dive problems and full detailed answer keys. It does not include formal lesson plans. ⚠️ 🔹 The "3-in-1" Analyt

10th - 12th, Adult Education, Higher Education

Calculus, Math

Also included in: THE ULTIMATE AP CALCULUS AB & BC BUNDLE (3100+ problems)

Calculus - How Can One Graph Help Describe Another Graph?

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This activity incorporates the graphing calculator to help students understand how the behavior of one graph can describe the behavior of another function. Three related equations are entered in y1, y2, and y3 in the graphing calculator. • The original function is entered in y1. • An expression that represents the derivative of y1 is entered in y2. • An expression that represents the derivative of y2 is entered in y3. After graphing y1, y2, and y3 in the same window, a series of questi

10th - 12th, Higher Education

Calculus, Math

Calculus - How are the Graphs of f, f ', and f " interrelated?

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Using the graphing calculator, students learn how the graphs of the first and second derivatives describe the behavior of the original function. The activity is composed of four parts. Students make observations based upon a series of questions about increasing, decreasing, extrema, and concavity

10th - 12th, Higher Education

Calculus, Math

Error Analysis: Applications of Derivatives - Part 1

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One of the best ways for students to learn is by correcting mistakes- theirs or someone else’s. The Error Analysis of Derivative Applications will give students an opportunity to find common mistakes when determining tangent lines, critical numbers, extrema, interval of increasing and decreasing, inflection points, and concavity. Students will identify the mistake and then solve the problem correctly. Each problem is on a separate sheet, so you can mix and match to your students’ needs. The sol

11th - 12th

Calculus, Math

Functions Big Review

Created by

Joan Kessler

Here is a comprehensive Review of Functions for Polynomial, Rational, and Piecewise defined functions. There are no trig, exponential, or log functions included. Please zoom in on the preview to make sure this resource is appropriate for your classes. Topics include: Odd and Even functions Transformations Domain and range Composition of functions Increasing and Decreasing Maximum and Minimum Inverse Functions Asymptotes Included in this resource: 4 versions of an assessment/ worksheet/stu

9th - 12th

Calculus, PreCalculus

CCSS

HSA-APR.A.1

, HSF-IF.A.1

, HSF-IF.A.2

+14

Also included in: Calculus Essential Back to School Review Bundle

Lesson: The First Derivative Test

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Students often find success with the first derivative test once they understand how to apply it. By working through the examples visually and analytically, then applying the anchor chart, students can determine where the relative extrema are located. This lesson can be used as an introduction to the first derivative test, as remediation, or as review. Concepts included in this lesson are:Determining increasing and decreasing intervals. The First Derivative Test.Relative maximum and minimum

11th - 12th

Calculus, Math

Calculus Thanksgiving Review - "Turkey Hunting" Matching Game / Group Activity

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Turn your Calculus review into a high-stakes, hilarious "Turkey Hunt"! 🦃🎯 Instead of a dry test, challenge your students to master the laws of derivatives while searching for the 15 "catchable" turkeys—and identifying the 3 lucky happy ones that get to stay in the field! Why this Review "Rocks" the Classroom:Comprehensive Derivative Coverage: This isn't just basic math. It covers:First, Second, and Higher-Order Derivatives.Intervals of Increasing/Decreasing functions.Critical Points & Local E

11th - 12th, Adult Education, Higher Education

Calculus

Also included in: THE ULTIMATE AP CALCULUS AB & BC BUNDLE (3100+ problems)

Optimization: Task Cards & Quiz

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Helpful Handouts for High School Math

How do I help my students gain confidence in solving optimization word problems? These task cards offer 8 common types of optimization problems for students to practice. The guide sheet has a nine-step procedure for students to follow when solving these problems. Each task card has a solution card that you and your students may use to aid in discussion of the solutions. Finally, after the students feel confident with these 8 problems they can take the quiz, which mirrors the task cards. What

11th - 12th

Calculus, Math

AP Calculus Quiz: trapezoidal rule and average value

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A quiz dealing with the trapezoidal approximation to the definite integral and the MVT for integrals. Emphasis on graphical representation and verbal interpretation. Answer KEY included. Could be used for practice and/or homework.

11th - 12th

Calculus

Writing the Equation of a Tangent Line and a Normal Line (worksheet and lesson)

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Mathematics Made Easy

This worksheet packet will help your students learn to write the equation of the line tangent to a curve by finding the derivative to determine the slope and then applying the point slope formula. Then they will use the negative reciprocal slope to write the equation of the normal line. You can access the accompanying instructional video by clicking here. This helpful packet includes five components:Instruction: Use the video (sold separately) in your classroom or use the teacher led portion

11th - 12th, Higher Education

Calculus, PreCalculus

Lesson: Concavity, Inflection Points, and the 2nd Derivative Test

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How do my students learn the significance of taking the second derivative? This introduction to determining concavity, inflection points, and using the second derivative test is easy to follow and understand. The anchor charts lead the students into determining concavity and locating inflection points. Using the second derivative test, they will also practice determining if critical numbers are relative extrema. Included in this product:· Lesson on the Second Derivative with examples. · Guide

11th - 12th

Calculus, Math

Dot Product of Two Vectors (2D & 3D)- 50 Practice Problems (Full Solutions)

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Helpful Handouts for High School Math

This is an engaging practice on dot product of two vectors in two and three dimensions. It contains 50 well thought out practice problems classified into 4 types of 10 problems and 10 mixed/review problems. Students will work on: ▶ computing the dot product of given vectors in component and ijk forms (10 problems) ▶ finding the angle between two vectors ( 10 problems) ▶ determining the value of a parameter for which two vectors will be orthogonal ( 10 problems) ▶ determining the pro

11th - 12th, Higher Education

Calculus, PreCalculus

Also included in: THE ULTIMATE AP CALCULUS AB & BC BUNDLE (3100+ problems)

Calculus BC Quiz: power series

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This 4-page quiz on Power Series includes algebraic, numeric, and graphical representations. Includes answer KEY. Could also be used as a review/enrichment activity.

11th - 12th

Calculus

Calculus - Related Rates - An Introduction

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This activity sheet illustrates four common related rate questions that appear in all calculus AB and BC courses. • The first problem presents two cars that are traveling away from each other on roads that are perpendicular to each other. The problem can be modeled with a right triangle so the Pythagorean Theorem becomes the function to associate with this problem. This equation can be used to generate a related rates equation. From the information that is given students can determine the r

10th - 12th, Higher Education

Calculus, Math

Also included in: Calculus - A Related Rates Bundle

Introduction to The Mean Value Theorem

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Helpful Handouts for High School Math

Students often feel overwhelmed when learning about theorems. This introductory lesson offers a concise explanation to the conditions and conclusion for the Mean Value Theorem. By following the included anchor chart, students determine when and how to apply the Mean Value Theorem. Concepts included in this lesson are:Slope of a secant line.Slope of a tangent line. Conditions for the Mean Value Theorem.The Mean Value Theorem.Applying the Mean Value Theorem.Determining the value for c. You ca

11th - 12th

Calculus, Math

Calculus Notes: Intro to the Derivative

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Introduce the derivative as the LIMIT of a DIFFERENCE QUOTIENT. Students are actively involved in the Graphical, Algebraic, and Numerical analysis of the limit of "rise over run" as the "run" decreases toward zero. Students work through four graphical examples of the derivative at a point.

11th - 12th, Higher Education

Calculus

Calculus 3 / Multivariable Calculus - DOUBLE INTEGRALS in Polar Coordinates

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