Percent Increase and Decrease Quiz
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Programs & methods
Applications of Derivates Test and Quiz and Review Pack
Quizzes, Review, and Tests for optimization, 1st derivative test, 2nd derivative test, increasing and decreasing intervals, extrema, critical points, concavity, points of inflection, and the mean value theorem -- Over 30 pages!
11th - 12th
Calculus
First Derivative Test (Unit 5 AP Calculus)
⭐⭐ This AP Calculus lesson provides you with a customizable and fully-editable resource of guided student notes, practice set and daily lesson quiz that cover the topics for First Derivative Test-Increasing and Decreasing Functions.⭐⭐ ✅ Lesson 5.3 First Derivative Test is a two-day lesson with an emphasis on Mathematical Practice 2 Connecting Representations. q Skill 2.E: Describe the relationships among different representations of functions and their derivatives. ✅ What is included in t
10th - 12th, Higher Education
Calculus, Math
Also included in: AP Calculus AB Curriculum Mega Bundle | Flamingo Math
Analytical Applications of Differentiation (AP Calculus AB - Unit 4)
Analytical Applications of Differentiation Calculus Unit Bundle:This is a bundle with guided notes, PowerPoints aligned with the guided notes, additional practice (homework), mid-unit quiz, unit test, unit review, and unit pacing guide for Analytical Applications of Differentiation (Unit 4). This unit contains 6 lessons. Lesson 4.1: Using the Mean Value TheoremLesson 4.2: Extrema on an IntervalLesson 4.3: Increasing and Decreasing Intervals and The First Derivative TestLesson 4.4: Concavity and
10th - 12th
Calculus, Math
Also included in: AP Calculus AB Semester 1 Bundle (Units 1 -5)
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
AP Calculus AB Guided Notes - Increasing and Decreasing Functions and the FDT
Aligned with Calculus for AP (2ed.) by Ron Larson and Paul Battaglia, these guided notes go through Chapter 3.3 - Increasing and Decreasing Functions and the First Derivative Test, and includes all theorems, definitions, and problems.
11th - 12th, Higher Education
Calculus
Also included in: AP Calculus AB Guided Notes - Chapter 3 Applications of Differentiation
Curve Sketching - Intervals of Increase and Decrease MATCHING
MATCHING. Given 12 different functions, use the first derivative test to determine the intervals of INCREASE & DECREASE. (Versatiles make this a self checking practice activity.)
11th - 12th, Higher Education
Calculus, Math
Calculus Notes 3.3 - Increasing & Decreasing Functions
Scaffolded notes, as well as corresponding warm-ups. Please let me know if you have any questions! Enjoy!
9th - 12th
Calculus, Math
IntervaI Practice | Intervals for Increasing, Decreasing, Constant from a Graph
Clear up common interval notation misconceptions! Students connect intervals to x values and graphical representation of a function. Watch the lightbulb turn on with this activity. It works great as a warm-up, exit ticket, or short tutorial when students need a little extra practice reading graphs and thinking through function behavior. Students will practice: Determining where a graph is increasing, decreasing, or constantWriting answers in interval notationBuilding confidence with graph interp
9th - 12th, Higher Education
Algebra, Algebra 2, Calculus
Calculus 1 Final Exam Review 32 Questions & Full Solutions
This pdf file contains 8 pages of course review questions and 6 pages of solutions to a standard University Level Calculus 1 ( Differential Calculus, AP Calculus ) course. There are 32 questions in total (some questions with multiple parts). The first question is a true/false question with 8 parts), and the rest are long answer questions. Full worked-out solutions are also included. Topics covered include: Evaluating limits (two-sided, one-sided, limits at infinity, limits using the Squeez
12th, Adult Education, Higher Education
Calculus, Math Test Prep
IB Math Applications & Interpretation HL Notes - Unit 5 Calculus
This resource has a pdf of handwritten notes for the fifth topic of the recently changed Applications and Interpretations HL (AIHL) course. This has the 8 subtopics that are included in A & I SL, plus an additional 10 subtopics for HL. There will also be significant overlap with the A & A Calculus. The other three courses have been available for a while, and I have only just been able to get A & I HL written, in time for the 2023 May exams. My hope is that if you like this resource, please ‘foll
11th - 12th
Calculus, Math, Math Test Prep
Also included in: IB Math Applications & Interpretation HL - Complete Notes
IB Math Analysis & Approaches SL Notes - Unit 5 Calculus
These are handwritten notes for the fifth topic of the new Analysis & Approaches SL (AASL / A & A SL) course, for first exams in 2021. The HL course will contain this content, with some additional calculus subtopics. There will also be significant overlap with the A & I Topic 5. I wrote and sold notes for the old IB courses, which have been fairly successful, so I am in the process of writing notes for the new courses, from scratch. If you want a preview, try the first topic of course notes f
10th - 12th
Calculus, Math, PreCalculus
Also included in: IB Math Analysis & Approaches SL - Complete Notes
AP CALCULUS AB - 5.9 CONNECTING F(X) WITH ITS 1ST & 2ND DERIVATIVES WORKSHEET
This Calculus worksheet is intended for students after they have learned the 5.9 AP Calculus AB Topic: "Connecting a Function, Its First Derivative, and Its Second Derivative." When given the graph of f', often times my students struggle with identifying where the graph of f has a local minimum or maximum, where f is increasing/decreasing, or identifying where the graph of f is concave up/down, or has a point of inflection. Similarly, when given the graph of f'', they tend to struggle with ide
10th - 12th, Higher Education
Applied Math, Calculus, Math
IB Math Applications & Interpretation SL Notes - Unit 5 Calculus
This resource has handwritten notes for the fifth topic of the new Applications and Interpretations SL course, for first exams in 2021. There will be significant overlap with the A & A Topic 5, and this is a subset of A & I HL Topic 5. I wrote and sold notes for the current IB courses, which have been fairly successful, so I am in the process of writing notes for the new courses, from scratch. My hope is that you will have a look at this free download, and if it seems like it would be helpful, p
10th - 12th
Calculus, Math, PreCalculus
Also included in: IB Math Applications & Interpretation SL - Complete Notes
IB Math Analysis & Approaches HL Notes - Unit 5 Calculus
These are handwritten notes for the fifth topic of the new Analysis & Approaches HL (AAHL / A & A HL) course, for first exams in 2021 - calculus. This has the 11 subtopics that are included in SL, plus an additional 8 subtopics for HL. There will also be significant overlap with the A & I Topic 5. I wrote and sold notes for the old IB courses, which have been fairly successful, so I am in the process of writing notes for the new courses, from scratch. If you want a preview, try the first topi
11th - 12th
Calculus, PreCalculus
Also included in: IB Math Analysis & Approaches HL - Complete Notes
IB Math Analysis SL Test - Limits and Power Rule with Answer Key
This 5-page assessment contains 5 IB Math Analysis Paper 1 style questions, most of which contains multiple parts. Students are asked to: find a limit algebraically, including the manipulation of rational functionsfind the derivative using the limit processfind the equation of a line tangent to the curve at a given pointfind the gradient of the normal line to a given curve at a given x-valueuse a graph to determine limits at given x-valuesuse the first derivative test to determine intervals for
11th - 12th
Calculus
IB Math Analysis SL Test - Limits and Power Rule
This 5-page assessment contains 5 IB Math Analysis Paper 1 style questions, most of which contains multiple parts. Students are asked to: find a limit algebraically, including the manipulation of rational functionsfind the derivative using the limit processfind the equation of a line tangent to the curve at a given pointfind the gradient of the normal line to a given curve at a given x-valueuse a graph to determine limits at given x-valuesuse the first derivative test to determine intervals for
11th - 12th
Calculus
Connecting the Graphs of the First and Second Derivatives
This is one of my favorite activities to get students to find patterns between the graphs of the first and second derivative in relation to the original function. It asked students to sketch them based on the given curve, then find intervals of increasing/decreasing, concavity, etc. It then asks them to constantly look at connections between the graphs.
This activity consistently generates high quality discussions during and after.
11th - 12th, Higher Education
Calculus
Expansive Sequences and Series Lesson
This is a thorough lesson on sequences and series. Although it does not include all of the convergence tests. (Those are in the next document.) The document focuses on definitions of various terms, types of series, and there properties. It includes 18 example problems. Topics tackled include sequence notation, series notation (summation notation), writing the terms of a sequence given the definition and vice versa, recursively-defined sequences, bounds, increasing/decreasing/non-increasing/non-d
9th - 12th
Calculus, Math, PreCalculus
Increasing Decreasing Rolle's Theorem
Worksheet involving increasing, decreasing functions, Extrema, Mean Value Theorem and Rolle's TheoremThis work by Betty Watson is licensed under a Creative Commons Attribution-Noncommercial 3.0 United States License.
Betty Watson
12th, Higher Education
Calculus
AP Calculus (AB) Essential Study Card (all on 1 sheet of ledger paper)
Useful formulas, theorems, and applications -- all organized on one single sheet of ledger paper. This study-card contains the following items that students must know before the AP Exam: < front side of paper > 1) techniques for computing limits (list) 2) End behavior and asymptotes of rational functions 3) Continuity checklist and types of discontinuities 4) Definition and equation for average rate of change, instantaneous rate of change 5) useful Derivative Formulas 6) Applications of D
11th - 12th
Calculus
Interpreting the Derivative's Graph: A Calculus Discovery Activity
Using what they already know about derivatives and curve sketching vocabulary, students will be guided through a team discovery of how to interpret the graph of a derivative! All they need is one graphing calculator per group and a few colored pencils or highlighters! Students will use technology to aid in the sketching of three functions and will be asked to identify the following for each function: Intervals where positive/negativeIntervals of increasing/decreasingIntervals of concave up/con
9th - 12th, Higher Education
Applied Math, Calculus, Graphing
AP Calculus AB: Derivative Applications in the Math World Notes
Students will be able to justify where a function is increasing and decreasing, concave up and concave down. They will be able to justify a function’s extrema and inflection points. They will be able to apply the Extreme Value Theorem, the First Derivative Test, the Concavity Test, the Second Derivative Test, and the Mean Value Theorem. Students will be able to accurately sketch a curve given its derivative graph and sketch a curve’s derivative given its graph.
12th
Calculus
Calculus - Analyzing Graph of the First Derivative
Given the graph of the first derivative, analyzing the concavity and increasing/decreasing intervals of f(x)
11th - 12th
Calculus
Calculus Notes: The First Derivative and Extrema
A set of Calculus notes with an intro to the first derivative, including intervals of increasing/decreasing, relative extrema, and absolute extrema, as well as appropriate practice problems.
10th - 12th
Calculus, Math, PreCalculus
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