Percent Increase and Decrease Quiz - Page 8
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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
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-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
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
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
Functions Big Review
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
First Derivative Test Circuit for Intervals of Inc/Dec and Relative Extrema
First Derivative Test Circuit for Intervals of Inc/Dec and Relative Extrema is a no prep and self-checking activity for your calculus students! Using this circuit will give your students lots of practice with the applying the first derivative test to find critical points, relative extrema and intervals of increasing or decreasing. This First Derivative Test Circuit includes 16 problems. Students will see both equations and first derivative graphical representations. Questions in the circuit
11th - 12th, Higher Education
Calculus, Math
CCSS
MP1
, MP6
Logarithmic & Exponential Functions: Sort & Match Activity
Looking for an engaging way to help your students master logarithmic and exponential functions? This hands-on mix-and-match activity is perfect for reinforcing key concepts while making learning fun! Students will: • Sort functions and identify their domain, range, zeros, y-intercept, and more. • Analyze positive and negative intervals, and determine increasing and decreasing behaviors. • Complete a cut-and-paste activity to match functions with their corresponding parts and glue them in orde
10th - 12th
Algebra 2, Calculus, PreCalculus
Rational Functions Sort-and-Match Activity | Domain, Range, Asymptotes, and More
Rational Functions Sort-and-Match Activity | Domain, Range, Asymptotes, and MoreEngage your high school math students with this interactive Rational Functions Sort-and-Match Activity! This resource is designed to help students master the key characteristics of rational functions, including: • Domain and Range • Zeros • Vertical, Horizontal, and Slant Asymptotes • Increasing and Decreasing Intervals • Y-intercepts • Positive and Negative Intervals • End Behavior What’s Included: • 10 rati
10th - 12th
Calculus, Math, PreCalculus
CCSS
HSF-IF.C.7d
Calculus Board Sessions,Session 12,Maximum.minimum,particle motion
In this Board Session students will…
-get some exponent and trig practice
-find derivatives
-find "c" using the Mean Value Theorem
-apply derivatives to path of a particle
-work with Maximums, minimums, over a closed interval
-work with using a derivative to determine when a function is
increasing and decreasing
We DO have a complete set of the 20 Calculus Board Sessions listed, and at a discount from the individual sessions multiplied by 20. For ease in finding it you might want to tr
11th - 12th, Adult Education, Higher Education
Calculus, Other (Math), PreCalculus
Calculus Matching Graphs of Derivatives, f, f', f'' Digital Activity
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
11th - 12th, Higher Education
Calculus, Math
Also included in: Calculus Digital Activity Bundle First Semester with Printables
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