Percent Increase and Decrease Quiz - Page 4
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Derivatives Graph Analysis Using Tables: Notes, Ex, Handout & Assign (Editable)
This resource includes notes, examples, handout and assignment analyzing graphs of functions using tables. Tables include: · Relative Extrema · Inflection Points · Intervals of Increase and Decrease · Intervals of Concave Upward and Concave Downward · Vertical Asymptotes Students will complete tables with: · Information about f(x) · Information about f'(x) · Information about f''(x) · Description of graph
11th - 12th, Higher Education
Calculus
Derivatives -Graph Analysis Using Tables - Notes, Examples, Handout & Assignment
This resource includes notes, examples, handout and assignment analyzing graphs of functions using tables. Tables include: · Relative Extrema · Inflection Points · Intervals of Increase and Decrease · Intervals of Concave Upward and Concave Downward · Vertical Asymptotes Students will complete tables with: · Information about f(x) · Information about f'(x) · Information about f''(x) · Description of graph
11th - 12th, Higher Education
Calculus
Calculus 1st First Derivative Test Digital Maze
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,
11th - 12th, Higher Education
Calculus, Math
Also included in: Calculus Digital Activity Bundle First Semester with Printables
Calculus Related Rates Digital plus Print
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
11th - 12th, Higher Education
Calculus
Also included in: Calculus Derivatives Digital Unit Bundle plus printables
Graph Behavior & Average Rate of Change Foldable AP Pre-Calculus
This foldable is designed to help students make connections between the Average Rate of Change (AROC) and graph behavior. Students will explore how positive, negative, increasing, and decreasing AROC's impact the shape and direction of a graph. They will also answer targeted questions to deepen their understanding of graph behavior and how it relates to AROC. Perfectly complements AP Pre-Calculus 1.3 – Rates of Change in Linear and Quadratic Functions. And this foldable is editable in Canva! Wha
11th - 12th, Higher Education
Math, PreCalculus
Vertex, Axis of Symmetry & Domain/Range in Functions – Practice Sheets
This worksheet offers students a structured way to explore the key features of absolute value functions, including vertex, axis of symmetry, domain, range, intercepts, intervals of increase/decrease, and average rate of change over specific intervals. With 10 clean and student-friendly templates in a modern pink-and-white layout, this resource is perfect for classwork, homework, or guided practice. Great for Algebra 1 or Algebra 2 students who are working on analyzing absolute value functions gr
7th - 12th, Higher Education
Algebra, Algebra 2
AP CALCULUS BC - 7.9 LOGISTIC DIFFERENTIAL EQUATIONS WORKSHEET
This Calculus worksheet is intended for students after they have learned the 7.9 Logistic Models with Differential Equations lesson from Unit 7 (AP Calculus BC Course and Description). In this worksheet, I have included multiple choice practice problems where students apply the model for logistic growth: dy/dt=ky(a-y). Given a logistic differential equation, students will then be able to identify: 1. The limiting value (carrying capacity) 2. The graph of the solution to a logistic differential
10th - 12th, Higher Education
Calculus
AP® Calculus AB/BC - Unit 5: Analytical Applications of Differentiation
This resource includes one powerpoint-style lesson (example is in the preview) per section, one worksheet set with full solutions per section, one reference sheet for the unit, and one unit test for the unit with solutions. Unit 5: Analytical Applications of Differentiation5.1 The Mean Value Theorem (MVT) and Rolle's Theorem 5.2 Using the First Derivative Test (Increasing/Decreasing, Critical Points) 5.3 Using the First Derivative Test (Relative Extrema) 5.4 Using the Second Derivative Test (Con
12th, Higher Education
Calculus
Also included in: AP® Calculus AB - Full Course Curriculum
CALCULUS 1st Semester REVIEW - "Gingerbread" Task Cards Christmas Activity
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
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)
Polynomial Function Project - Roller Coaster
In this project, students learn how to use polynomial function to model roller coaster rides. In this first part, they are given some polynomial functions to find the relative maximum/minimum, increasing/decreasing intervals, x- and y-intercepts, etc. They will explore the average rate of change. In the second part of the project, students are asked design their own roller coaster given some basic criteria. Students should use graphing devices/computer applications to complete this project.
9th - 12th, Higher Education
Algebra 2, Applied Math, PreCalculus
Key Features of Functions Task Cards (Basic Level)
Key Features of Functions Task Cards (Basic Level)This resource is a task card activity that should be used after teaching students about key features of functions like domain, range, x and y intercepts, increasing/decreasing/constant intervals, and end behavior. This task card set is good for students in Precalculus or Calculus. I like to print out and laminate the task cards and hand them around my room. Students, working in pairs or by themselves, can rotate through the stations answering ea
10th - 12th, Higher Education
Algebra 2, Calculus, PreCalculus
Key Features of Functions Task Cards (Expert Level)
Key Features of Functions Task Cards (Expert Level)This resource is a task card activity that should be used after teaching students about key features of functions like domain, range, x and y intercepts, increasing/decreasing/constant intervals, and end behavior. This task card set is good for students in Precalculus or Calculus. I like to print out and laminate the task cards and hand them around my room. Students, working in pairs or by themselves, can rotate through the stations answering e
11th - 12th, Adult Education, Higher Education
Calculus, PreCalculus
Plight of the Adelie Penguins: An Exponential Decay Activity
Plight of the Adelie Penguins is an environmental/threatened species themed activity to demonstrate how algebraic exponential functions can be used to model real world situations.
There has been an 85 percent decrease in the Adelie penguin population along the western Antarctic Peninsula since 1974. The population size of one such colony of Adelie Penguins is modeled by an exponential decay equation. In this activity, your students will work together to:
* Use replacement values to evaluate
9th - 12th, Higher Education
Algebra, PreCalculus
Derivative Product and Quotient Rules WORKSHEET | Digital and Print
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
11th - 12th, Higher Education
Calculus, Math, PreCalculus
AP Calculus: The First and Second Derivative Tests Complete Lesson
This lesson introduces the First and Second Derivative Tests in the context of polynomials. (The lesson on Curve Sketching uses these tests to examine other types of functions.) The lesson begins with a review of increasing and decreasing functions as well as critical numbers. Then, the First Derivative Test is introduced, along with an application. After that, concavity and inflection points are introduced. Finally, the Second Derivative Test is shown, along with an example. This lesson is
10th - 12th, Higher Education
Calculus, Math
Also included in: AP Calculus AB Full Curriculum
Calculus CURVE ANALYSIS Where is f increasing AND concave up? Dec/Conc up? Etc.
Calculus CURVE ANALYSIS (Inc/Dec AND Concavity) First & Second Derivative Tests Worksheet consists of 10 different functions. For each of the 10 functions students are asked to find open intervals for which the function is "increasing AND concave down" or "decreasing AND concave up" etc. The functions range from polynomials to functions containing e and ln. Space is provided with each problem for students to write organized justifications for their solutions. I created this practice becaus
10th - 12th, Higher Education
Calculus, Math, PreCalculus
Exponential Graphs and Equations Discovery Task Cards Unit 3 Precalculus
This Exponential Graphs and Equations Discovery Activity provides students with a sort-and-match-set of 12 task cards. PreCalculus and Algebra 2 Honors students are challenged to sort graphs of exponential functions according to characteristics for increase, decrease, reflections, asymptotes and end-behavior. They will learn to resolve negative coefficients on variables before determining whether a function is a growth or decay function. They will also discover that growth and decay are not syn
9th - 12th, Higher Education
Algebra 2, PreCalculus
CCSS
HSF-IF.C.7e
, HSF-IF.C.8
, HSF-LE.A.4
Quadratic Function Analysis Anchor Chart (with Student Fillable Version)
This Quadratic Function Analysis Anchor Chart contains a full color, single page anchor chart, great for posters or providing directly to students as well as an alternate version that students can fill out. A specifically designed black & white version of the anchor chart is also included. This Quadratic Function Analysis Anchor Chart covers the following about an example quadratic function: Parent FunctionDomain & RangeY-interceptRootsMinimum/MaximumIncreasing/Decreasing BehaviorEnd Behavior
9th - 12th, Adult Education, Higher Education
Algebra, Algebra 2
CCSS
HSF-IF.C.7
, HSF-IF.C.7a
Also included in: Function Analysis Anchor Charts Bundle (with Student Fillable Versions)
Cubic Function Analysis Anchor Chart (with Student Fillable Version)
This Cubic Function Analysis Anchor Chart contains a full color, single page anchor chart, great for posters or providing directly to students as well as an alternate version that students can fill out. A specifically designed black & white version of the anchor chart is also included. This Cubic Function Analysis Anchor Chart covers the following about an example cubic function: Parent FunctionDomain & RangeY-interceptMinimum/MaximumRootsIncreasing/Decreasing BehaviorEnd Behavior
9th - 12th, Adult Education, Higher Education
Algebra, Algebra 2
CCSS
HSF-IF.C.7
, HSF-IF.C.7c
Also included in: Function Analysis Anchor Charts Bundle (with Student Fillable Versions)
AP Calculus: Curve Sketching Complete Lesson
In this lesson, students gain practice in using calculus to understand the features of a graph. Students learn to identify the domain, intercepts, and symmetry of a function. They also practice using calculus to find asymptotes, intervals of increase and decrease, intervals of concavity, local extrema, and points of inflection. This lesson is appropriate for both AP Calculus AB and BC. Detailed answer keys are included. The topics covered include: -Features of a Function -Rational Function -Tr
10th - 12th, Higher Education
Calculus, Math
Also included in: AP Calculus AB Full Curriculum
Square Root Function Analysis Anchor Chart (with Student Fillable Version)
This Square Root Function Analysis Anchor Chart contains a full color, single page anchor chart, great for posters or providing directly to students as well as an alternate version that students can fill out. A specifically designed black & white version of the anchor chart is also included. This Square Root Function Analysis Anchor Chart covers the following about an example rational function: Parent FunctionDomain & RangeY-interceptRootsMinimum/MaximumIncreasing/Decreasing BehaviorEnd Behavi
9th - 12th, Adult Education, Higher Education
Algebra, Algebra 2
CCSS
HSF-IF.C.7
, HSF-IF.C.7b
Also included in: Function Analysis Anchor Charts Bundle (with Student Fillable Versions)
Cube Root Function Analysis Anchor Chart (with Student Fillable Version)
This Cube Root Function Analysis Anchor Chart contains a full color, single page anchor chart, great for posters or providing directly to students as well as an alternate version that students can fill out. A specifically designed black & white version of the anchor chart is included also. This Cube Root Function Analysis Anchor Chart covers the following about an example cube root function: Parent FunctionDomain & RangeY-interceptMinimum/MaximumRootsIncreasing/Decreasing BehaviorEnd Behavior
9th - 12th, Adult Education, Higher Education
Algebra, Algebra 2
CCSS
HSF-IF.C.7
, HSF-IF.C.7b
Also included in: Function Analysis Anchor Charts Bundle (with Student Fillable Versions)
Absolute Value Function Analysis Anchor Chart (with Student Fillable Version)
This Absolute Value Function Analysis Anchor Chart contains a full color, single page anchor chart, great for posters or providing directly to students as well as an alternate version that students can fill out. A specifically designed black & white version of the anchor chart is included also. This Absolute Value Function Analysis Anchor Chart covers the following about a sample absolute value function: Parent FunctionDomain & RangeY-interceptMinimum/MaximumRootsIncreasing/Decreasing Behavior
9th - 12th, Adult Education, Higher Education
Algebra, Algebra 2
CCSS
HSF-IF.C.7
, HSF-IF.C.7b
Also included in: Function Analysis Anchor Charts Bundle (with Student Fillable Versions)
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