Percent Increase and Decrease Quiz - Page 8
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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
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
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
Complete Curve Analysis – Mastering Function Behavior in High School Mathematics
Curve sketching is more than drawing graphs—it is about understanding how functions behave. Complete Curve Analysis helps students move beyond memorized checklists toward genuine mathematical insight. This classroom-ready resource presents curve analysis as a coherent analytical process. Students explore how the function term, its derivatives, and its limits interact to shape the overall graph. By focusing on reasoning and interpretation, the material enables learners to explain why a funct
9th - 12th
Calculus, 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
Changes in Tandem - Anchor Charts - AP Precalculus & Precalculus
Anchor Charts for Changes in Tandem - AP Pre-Calculus & PreCalculusElevate your AP Pre-Calculus or PreCalculus lessons with these seven detailed anchor charts! Perfect for use as classroom posters, study aids, or review note cards, these charts visually and conceptually connect important concepts like rate of change, increasing/decreasing, and concavity. This set includes: • Rate of Change: Understand how a function’s increase or decrease is tied to its rate of change. • Concavity and Points of
10th - 12th
Calculus, Math Test Prep, PreCalculus
Rates of Change Roller Coaster Activity Practice AP® Precalculus 1.2 and 1.3
Do you find that your AP ® Precalculus need more help connecting rate of change to real scenarios? Students will work on describing how two quantities very together and find the average rate of change for AP ® Precalculus topic 1.2-1.3. ⭐Skills Required: Rates of ChangeIncreasing and decreasingRate of change increasing and decreasingConcave up and concave down❤️Resource is Great for: AP® PrecalculusAP® CalculusAlgebra 2Remote LearningHomeschoolingTutoring⭐Includes: 2-page activity (2 versions
9th - 12th
Algebra 2, Calculus, PreCalculus
CCSS
HSF-IF.B.4
Advanced Curve Sketching Practice — Calculus AB/Calculus 1
Transform curve sketching from a memorized checklist into a meaningful reasoning process. This Calculus AB practice packet gives students 10 full curve-sketching problems that build conceptual understanding through progressively challenging function types — polynomial, rational, trigonometric, logarithmic, exponential, and piecewise. Each question leads students through: Domain and range reasoning Continuity and differentiability Critical points and increasing/decreasing intervals Concavi
9th - 12th, Higher Education
Calculus, Graphing
Also included in: Advanced Curve Sketching Practice & Key— Calculus AB/Calculus 1
Calculus First & Second Derivative Tests Matching Activity Game
Calculus First & Second Derivative Tests Matching Games are the perfect activities for your students to sharpen their understanding of an application of derivatives. 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. This product contains 5 Different Easter Matching Card
10th - 12th, Higher Education
Calculus, Math
Also included in: Calculus Derivatives BUNDLE: Matching Activities
Christmas Calculus First & Second Derivative Tests Pixel Art Mystery Pictures
Engage students with holiday-themed calculus practice using our Christmas Calculus First & Second Derivative Tests Pixel Art Mystery Picture Coloring Activities! Through analyzing functions such as quadratics, cubics, quartics, rationals, and equations with rational exponents, students will conduct first and second derivative tests. They'll identify critical points, determine intervals of increasing/decreasing values, pinpoint inflection points, and explore intervals of concavity, all while addi
10th - 12th, Higher Education
Calculus, Math
Thanksgiving Calculus First & Second Derivative Tests Matching Activity
Thanksgiving: Calculus First & Second Derivative Tests Matching Games are the perfect activities for your students to sharpen their understanding of an application of derivatives. 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. This product contains 5 Different Thanksg
10th - 12th, Higher Education
Calculus, Math
Calculus First & Second Derivative Tests Cut & Paste Activity
First & Second Derivative Tests Cut & Paste Activity is the perfect activity for your students to sharpen their understanding of an application of derivatives. 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. This product contains 5 Different Cut and Paste Activity sets
10th - 12th, Higher Education
Calculus, Math, Math Test Prep
Also included in: Calculus Derivatives BUNDLE: Cut & Paste Activities
Christmas Calculus First & Second Derivative Tests Matching Activity
Christmas: Calculus First & Second Derivative Tests Matching Games are the perfect activities for your students to sharpen their understanding of an application of derivatives. 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. This product contains 5 Different Christmas Ma
10th - 12th, Higher Education
Calculus, Math
Easter: Calculus First & Second Derivative Tests Matching Games
Easter: Calculus First & Second Derivative Tests Matching Games are the perfect activities for your students to sharpen their understanding of an application of derivatives. 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. This product contains 5 Different Easter Matchi
10th - 12th, Higher Education
Calculus, Math
Also included in: Easter | Calculus Derivatives BUNDLE: Matching Activities
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