Percent Increase and Decrease Quiz
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Increasing, Decreasing and First Derivative Test | Calculus Notes & Video
Increasing, decreasing and First Derivative Test lesson for Calculus with guided notes, homework, and video lesson. Teach intervals of increase and decrease, derivative sign charts, and relative extrema.This is one lesson from my Calculus Unit 3 – Applications of Derivatives curriculum. It includes guided notes, homework practice, a full video lesson, and detailed step-by-step answer keys to support student understanding. This lesson is designed for a guided, non-AP Calculus course and works wel
11th - 12th, Higher Education
Calculus, Math
Calculus - Studying the Behavior of Functions Graphically
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
Calculus - Reading and Using Information from the Graph of f'
From a graph of f’ students are asked to describe where f is increasing and decreasing, the locations for all local minimums and maximums for f, locations of all absolute minimums and maximums for f, locations of all points of inflection, and to make a sketch of f and f”.
10th - 12th, Higher Education
Calculus, Math
Graph Analysis Using the 1st Derivative Notes, Examples, Handout, & Assignment
This resource includes notes, examples, and assignment using the 1st derivative to analyze functions. Topics included are: · Critical Numbers · Intervals of Increase and Decrease · Relative Extrema · Absolute Extrema Function types included are: · Quadratic · Cubic · Rational · Trigonometric
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
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 - How are the Graphs of f, f ', and f " interrelated?
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
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:
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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
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
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
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
SIX Curve Sketching Worksheets + Key + Summary of Curve Sketching - Calculus 1
This product (pdf) can be used as an in-class activity / homework / group work for curve sketching in differential calculus. The first 2 pages does a review of curve sketching. There are 6 curve sketching questions, followed by their key. For each question, the student must find the following: - domain - x,y intercepts - horizontal asymptotes (using limits) - vertical asymptotes (using limits) - increasing/decreasing (using first derivative) - local max/min (first derivative test) - concavity
12th, Adult Education, Higher Education
Calculus, Math Test Prep
Graphs of First & Second Derivatives Identify and Match f, f', f''
In this activity students practice identifying the Graphs of a function and its first and second derivative, f, f ', and f ''. They analyze 3 graphs, one blue, one black, and one red, superimposed on the same coordinate grid, to determine which is the graph of original function, the graph of first derivative, and the graph of the second derivative. The activity does not require differentiation, but requires students to understand increasing, decreasing, relative extrema, and concavity. Man
11th - 12th, Higher Education
Calculus, Graphing
Also included in: Calculus Applications of Differentiation Unit Bundle
Calculus 2 Curriculum Bundle
This Calculus 2 Curriculum Bundle includes 58 classroom tested resources which will enhance your lessons and engage your students. My experience has shown that Calculus students succeed with varied lessons and activities and need a curriculum where each day is a new learning experience geared for all types of learners. The resources in this bundle will help you engage all of your students with rigorous and fun activities. Activity-based learning facilitates better understanding and you ca
10th - 12th, Higher Education
Calculus
Calculus Limits Continuity Activities and Assessments (Unit 1)
⭐⭐This fully-editable and customizable resource is designed for the AP Calculus AB/BC unit on Limits and Continuity.⭐⭐ The assessments cover the 16 topics in the College Board Course Framework lessons. The unit is designed to cover 23 days for AP Calculus AB in a 45-50-minute class setting, or 14 days in AP Calculus BC. Each assessment is designed to meet the expectations of the course guidelines, covering the standards of the course to prepare students for the AP Calculus exam in May. ✅ What
10th - 12th, Higher Education
Calculus, PreCalculus
Calculus 1 Editable Unit Tests, Exams, and Assessments Bundle or Review
This bundle of 4 Editable Unit Exams for the Main Units in Calculus 1 will save you hours of time. Each rigorous test comes with typed full solutions for each problem. There are over 88 problems, some with multiple parts. The units are: Limits and ContinuityDerivativesApplications of the DerivativeIntegration The tests are in two formats. First is a formatted PDF version ready to print and go. The editable versions are created in MS PowerPoint and/or MS Word. You may need an equation e
11th - 12th, Higher Education
Calculus
Limits 1 - Finding a limit using a graph worksheet and lesson
This worksheet packet will help your students learn to find the value of a limit using a graph. Graphs will be both continuous and discontinuous (containing asymptotes and holes). Click here to save by buying the entire Limits Bundle which includes a FREE review and test.Click here to view the instructional video that accompanies this work packet. This helpful packet includes five components:Instruction: Use the video (sold separately) in your classroom or use the teacher led portion of the pa
11th - 12th, Higher Education
Calculus, Graphing, PreCalculus
Limits 2 - Finding a Limit Algebraically worksheet and lesson
This worksheet packet will help your students learn to find the value of a limit algebraically by plugging in, simplifying, and rationalizing expressions. Click here to SAVE by buying the entire Limits Bundle which includes a FREE review and test.Click here to view the instructional video that accompanies this work packet. This helpful packet includes five components:Instruction: Use the video (sold separately) in your classroom or use the teacher led portion of the packet to explain the materi
11th - 12th, Higher Education
Calculus, PreCalculus
Limits 5 - Trigonometry and Special Limits worksheet and lesson
This worksheet will help your students learn to find the value of a limit involving trigonometric functions including the special limits for sine and cosine. Click here to SAVE by buying the entire Limits Bundle which includes a FREE review and test.Click here to view the instructional video that accompanies this work packet. This helpful packet includes five components:Instruction: Use the video (sold separately) in your classroom or use the teacher led portion of the packet to explain the mat
11th - 12th, Higher Education
Calculus, PreCalculus
Finding Derivatives - The Difference Quotient (worksheet and lesson)
This worksheet packet will help your students learn to find derivatives using the difference quotient formula to show that the derivative represents the slope of a curve at a point. Click here to SAVE on the derivative bundle.Click here to access the instructional video that accompanies this work packet.This helpful packet includes five components:Instruction: Use the video (sold separately) in your classroom or use the teacher led portion of the packet to explain the material to your class.Ext
11th - 12th, Higher Education
Calculus, Math
Also included in: Finding Derivatives worksheet and lesson Bundle (videos not included)
Finding Derivatives using The Power Rule (worksheet and lesson)
This worksheet packet will help your students learn to find derivatives using the power rule. Click here to SAVE on the derivative bundle.Click here to access the instructional video that accompanies this work packet.This helpful packet includes five components:Instruction: Use the video (sold separately) in your classroom or use the teacher led portion of the packet to explain the material to your class.Extra Practice: This will help your students master the necessary steps.Homework: An addi
11th - 12th, Higher Education
Calculus, Math
Also included in: Finding Derivatives worksheet and lesson Bundle (videos not included)
Limits 4 - One - Sided Limits and Limits to Infinity worksheet and lesson
This worksheet packet will help your students learn to find the value of a limit from the right or left, including those approaching asymptotes and holes. Click here to SAVE by buying the entire Limits Bundle which includes a FREE review and test.Click here to view the instructional video that accompanies this work packet. This helpful packet includes five components:Instruction: Use the video (sold separately) in your classroom or use the teacher led portion of the packet to explain the materi
11th - 12th, Higher Education
Calculus, PreCalculus
Limits 3 - Laws of Limits worksheet and lesson
This worksheet packet will help your students learn to use the laws of limits to simplify an expression in order to find the value of a limit algebraically. Click here to SAVE by buying the entire Limits Bundle which includes a FREE review and test.Click here to view the instructional video that accompanies this work packet. This helpful packet includes five components:Instruction: Use the video (sold separately) in your classroom or use the teacher led portion of the packet to explain the mate
11th - 12th, Higher Education
Calculus, PreCalculus
Finding Derivatives using the Quotient Rule (worksheet and lesson)
This worksheet packet will help your students learn to find derivatives using the Quotient Rule. Click here to SAVE on the derivative bundle.Click here to access the instructional video that accompanies this work packet.This helpful packet includes five components:Instruction: Use the video (sold separately) in your classroom or use the teacher led portion of the packet to explain the material to your class.Extra Practice: This will help your students master the necessary steps.Homework: An a
11th - 12th, Higher Education
Calculus, Math
Also included in: Finding Derivatives worksheet and lesson Bundle (videos not included)
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