Percent Increase and Decrease Quiz - Page 11
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Pi Day Activity: Graph Analysis Using the 1st Derivative
Students will use the 1st derivative to answer 20 graph analysis questions in each section . The correct graph analysis answers will lead to the correct answers to trivia questions related to pi. Sections include: finding critical numbersfinding intervals of increase and/or decreasefinding relative extremafinding absolute extrema
11th - 12th
Calculus
Synthetic Division Poster
Students will follow the hand motions of a set of Emoji's to create a sketch of a polynomial function! From there, they will decide where the x-intercept(s) and y-intercept are, state domain/range, end behaviour, intervals of increase/decrease and describe their function in factored and expanded form. Then, they are asked to use the process of synthetic division to determine if x=2 is a solution to their function. This is a great way to have students summarize the entire unit on polynomials in a
11th - 12th, Adult Education, Higher Education
Algebra, Calculus, PreCalculus
Error Analysis: Applications of Derivatives - Part 1
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
Super Hero: Calculus First & Second Derivative Tests Pixel Art Activity
Super Hero: Calculus First & Second Derivative Tests Pixel Art Mystery Picture Coloring Activities Students will perform the first and second derivative tests to analyze functions (quadratics, cubics, quartics, rationals, & equations with rational exponents) to find critical points, intervals of increasing/decreasing values, inflection points, and intervals of concavity. Product Features: 25 unique Super Hero Pixel Art Mystery Pictures5 different versions: Each with 15 unique questions & 5 d
10th - 12th, Higher Education
Calculus, Math, Math Test Prep
Also included in: AP Calculus: BACK TO SCHOOL Activities Bundle
Calculus Super Secret Number Puzzle Curve Sketching Two
In this super secret number puzzle, students will practice finding important features of the original function, the first derivative of the function, and the second derivative of a function given a graph. Students need to know how to find where functions are increasing and decreasing, where functions have maximums and minimums, where functions are concave up and down, and where functions have inflection points.
Students find the answers to each of the ten questions and then add their answers t
11th - 12th
Calculus, Math
Also included in: Calculus Chain Rule, Curve Sketching, Limits & More Puzzle Bundle
AP Calculus: Graphing the Derivative Complete Lesson
This lesson helps students learn how to graph the derivative of a function, given a graph of the function. Students also learn how to interpret the graph of the derivative and they make the connection between the derivative of the position function and the velocity function. Increasing and decreasing functions are also introduced. Finally, students learn how to estimate derivatives from a table of values and then use those values to create a graph of the derivative. This lesson is appropriate
9th - 12th, Higher Education
Calculus, Math
Also included in: AP Calculus: Derivatives Unit Bundle
Graph Analysis 1st Derivative - Something Old, New, Borrowed and True Warm Up
This is designed to use as a warm up or starter activity. Something Old: A previous topic needed to support the current topic or topic coming soon. Finding the 2nd derivativeSomething New: The current topic. For this resource - Finding intervals of increase and decreaseSomething Borrowed: A totally different topic designed to help prevent learning loss. For this resource - Identifying Trig ratiosSomething True: An interesting fact or story in math. For this resource - Statistical studies show t
11th - 12th, Higher Education
Calculus
Also included in: Derivatives Including Applications Warm Up Bundle
Calculus Curve Sketching Matching Activities
This is an activity that can be used for students to practice what they have learned about curve sketching.
In the first activity, students will match the description of a curve to its equation. Descriptions include such things as where the curve is increasing or decreasing, where it has a maximum or minimum, where it is concave up or concave down, and where there are points of inflection.
In the second activity, students will match the graph of a function to the graph of its derivative.
In
11th - 12th
Calculus, Math
Derivative Detectives: f, f ′ , and f ′′ Graphing Activity | Calculus Review
Turn derivative graph analysis into an engaging mystery with Derivative Detectives! In this calculus activity, students act as detective mathematicians as they analyze evidence, examine suspect graphs, and connect a function with its first and second derivatives. Students practice identifying relationships between f, f′, and f′′ using increasing/decreasing behavior, local extrema, concavity, inflection points, and derivative sign patterns. What’s Included Teacher instructions Student packet
11th - 12th, Higher Education
Calculus
Calculus Curve with Derivative- Puzzle Sets
Make calculus concepts tangible with this hands on matching puzzle activity. This resource helps learners intimately connect the visual graph of a function to the graph of its first derivative. By matching graphs with their corresponding interval behaviors, students build a deep understanding of increasing and decreasing intervals, local extrema, and the first derivative test. What is IncludedThirty Two Playing Cards: Eight complete puzzle sets.Four Cards Per Set: Each set contains the original
11th - 12th
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:
---------------------------------------
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
Applications of Derivatives: Maximum Velocity of a Cough
This is created to be an in class assignment graded assignment, which will take approximately 25 minutes depending on the skill levels of the students. The answer key/scoring guidelines are attached at the end of the worksheet. The worksheet should be used after Increasing and Decreasing Functions and the First Derivative Test are taught.
9th - 12th, Higher Education
Calculus, Math, PreCalculus
Calculus-Making Observations about the Function and Its Derivatives from Graphs
This discovery activity is made up of 5 part plus a closing question. Part I: Students graph a function and its derivative. From the two graphs students observe that when the graph of the derivative of y1 is positive the graph of y1 is increasing and that when the graph of the derivative of y1 is negative the graph of decreasing. Part II: In part I students studied a function with a minimum. In this part students will repeat the same observations but with a function that has a maximum. Part II
10th - 12th, Higher Education
Calculus, Math
Calculus Maze Curve Sketching
In this puzzle, students will practice curve sketching problems. Students find their way from the beginning to the end of the maze by solving each problem. In order to be successful with this maze, students should be able to find where a function is increasing, where a function is decreasing, where a function is concave up, where a function is concave down, where a function has a maximum, and where a function has a minimum. Answer key is included.
11th - 12th
Calculus
AP Calculus - f' Analysis Cheat Sheet
Help your students organize their thoughts of f' Analysis using thiHelp your students stay organized and master the fundamentals of calculus with this comprehensive, one-page f' Analysis Cheat Sheet. Perfect for AP Calculus students, this resource provides clear and concise explanations of critical points, increasing and decreasing functions, concavity, inflection points, and relative maximums and minimums using both the first and second derivative tests and how to justify them effectively! Key
9th - 12th, Higher Education
Calculus
Matching Using the First and Second Derivative Tests
This activity is a great way for students to review the first and second derivative tests and describe key features of a function. Students will work in pairs (recommended) to take a function and use the first and second derivative tests to find intervals of increase and decrease as well as intervals of concavity. Students will be given the following: - 10 function cards (A-J) - 10 first derivative test conclusions (colors) - 10 second derivative test conclusions (food) Students will find a grou
11th - 12th
Calculus, Math
Calculus: Derivatives of Logarithmic Functions - Three Products in a BUNDLE
This is a mini bundle on derivatives of logarithmic functions. It contains a total of 47 problems. Description of the first product: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 dec
11th - 12th
Calculus
Curve Sketching Lecture (Differential Calculus 1 Lesson Notes)
This handout is meant as an in-class activity for curve sketching in a differential calculus course. The first few pages contains a review of curve sketching. The curve sketching topics covered are: domainx,y interceptshorizontal asymptotes (using limits)vertical asymptotes (using limits)increasing/decreasing (using first derivative)local max/min (first derivative test)concavity (using the second derivative)inflection pointssketch the graph of the function using all the above informationThe r
12th, Adult Education, Higher Education
Calculus, Math Test Prep
Also included in: BUNDLE: Differential Calculus 1 Lecture Notes / Lessons
British Columbia Grade 12 Calculus - Unit 3: Applications of Derivatives
British Columbia Grade 12 Calculus BC Grade 12 Calculus This resource includes: -One Presentation for each section -One Worksheet set with solutions for each section -One Reference Sheet for the Unit -One Unit Test with Solutions for the Unit Unit 3 — Applications of derivatives3.1 Increasing/decreasing behavior and concavity3.2 Differentiability (and what it means in graphs/contexts) 3.3 Mean Value Theorem (what it guarantees; interpreting it) 3.4 Newton’s method (root approximation + interpre
12th
Calculus
Also included in: British Columbia Grade 12 Calculus - Full Course Curriculum
Graphing Derivatives Activity
Enhance your students' knowledge of graphing derivatives with this activity. Through cooperative learning, creation of graphs, and a gallery walk students will sharpen their calculus skills.
Calculus Skills Involved:
- graphing a derivative based on the graph of f(x)
- creating a sign chart
- identifying intervals of increasing and decreasing
- identifying inflection points
Enjoy!
The Math Lab
10th - 12th
Calculus, Graphing, Math
Sketching Graphs from Features Activity
Designed for early precalculus students, but easily adaptable for algebra or calculus students. Have students create graphs that satisfy given conditions. Teachers give one condition at a time, and students work together to adjust their graph to satisfy all conditions simultaneously. Conditions include features such as increasing and decreasing intervals, concavity, points and inverses, even functions, asymptotes.
9th - 12th
Algebra 2, Calculus, PreCalculus
Calculus Lesson Plans Ch. 3A: Curve Sketching
These are the assignments I give my students for the first half of Ch. 3 in Larson Calculus 10 ed. I divide Ch. 3 on Applications of Differentiation into two units. In Ch. 3A Curve Sketching, students learn all the characteristics of graphs such as extrema, increasing/decreasing, and concavity to sketch graphs and match derivative graphs with their function graphs. They also learn the major theorems – Intermediate Value, Extreme Value, Rolle’s, and Mean Value. In Ch. 3B, students use derivatives
11th - 12th
Calculus
Also included in: Calculus Unit Bundle 3A: Curve Sketching
Power Rule Worksheet
This Power Rule worksheet provides straightforward, independent practice for students learning how to differentiate functions using the Power Rule. Unlike a guided worksheet, this resource is designed for students who are ready to apply the rule on their own without structured steps or prompts. The problems increase in complexity to help build fluency and confidence while reinforcing foundational derivative skills. Perfect for classwork, homework, bell-ringers, or quick review before quizzes and
11th - 12th, Higher Education
Calculus, PreCalculus
Curve Analysis & Derivatives – A Complete Guide to Function Behavior | WORKBOOKS
Build deep understanding of functions using derivatives, limits, and curve analysisThis bundle is designed for high school math teachers who want students to move beyond procedural differentiation and toward true conceptual mastery of function behavior. Students learn how derivatives, limits, and asymptotes work together to describe increasing and decreasing behavior, local extrema, concavity, inflection points, and global structure of functions. Instead of isolated skills, the materials prese
9th - 12th
Calculus, PreCalculus
CCSS
HSF-IF.A.1
, HSF-IF.A.2
, HSF-IF.A.3
+33
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