Percent Increase and Decrease Quiz
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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 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 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
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
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
CURVE SKETCHING SUMMARY SHEETS
This is a four page document summarizing sketching polynomial,radical and rational functions. They include domain and range, intercepts, symmetry, intervals of increase or decrease, local maxima or minima, intervals of concavity, points of inflection, vertical, horizontal, slant and parabolic asymptotes. All of my math summary sheets (15) can be found in one PDF file.
9th - 12th
Calculus, Math Test Prep, PreCalculus
Inc/Dec Functions
This joke handout has 8 problems where students use a first derivative to find where the function is increasing and decreasing.
11th - 12th
Calculus
Analytical Derivatives (AP Calc Unit 5) Bilingual Vocabulary (English/Spanish)
This product is a PDF of analytical derivatives vocabulary words for AP Calculus students with pictures of each and definitions/key points in both English and Spanish. These definitions are worded for a high school student. ✨ Each vocabulary word is a full page, so they can be printed whole-page for a bulletin board, or printed multiple to a page as a handout for students. They could also be used as flash cards! ✨ Very useful for ELL students to help build vocabulary skills! ✨ Very useful for
12th, Higher Education
Calculus
Connecting Functions and Derivatives Reference Sheet
This Anchor Chart includes reminders for calculus students on how to find the following when learning how functions, derivatives and second derivatives are connected: •Increasing/Decreasing Intervals •Relative Extrema •Concavity Intervals •Points of Inflection
10th - 12th
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
Calculus_First Derivative Test Resource and Practice
This 9 pages of materials here contain a single page of resources on using the first derivative to determine intervals of increasing and decreasing and locating local of a function. The next 4 pages contain various activities to help students explore those concepts. These pages are followed by the answer keys for the activities.
10th - 12th
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 - Unit 5 - REVIEW CIRCUIT (with Solutions!)
This circuit contains 32 problems that cover all of AP® Calculus Unit 5 - Analytical Applications of the Derivative (Mean Value Theorem, Absolute Extrema, Relative Extrema, Increasing/Decreasing Intervals, Concavity, Second Derivative Test, Connecting Graphs of a Function and its Derivative, Optimization, Behavior of Graphs of Implicit Relations). To allow for greater flexibility, the circuit is provided in three forms. The first is the complete 32 problem circuit. The second is 17 questions c
11th - 12th, Higher Education
Calculus, Math
Also included in: AP Calculus - Units 1 thru 8 - BUNDLE of REVIEW CIRCUITS (w/ Solutions!)
Calculus First Derivative Test Maze
This fun activity for the 1st Derivative Test will engage you Calculus students while studying Analytical Applications of Differentiation. Students use the 1st Derivative Test to determine if the function is increasing, decreasing, or neither at a given point. This activity is designed to be used without Graphing Calculators. There are 16 problems and students must complete 15 of them to correctly complete the maze. An answer key is included.I have also included a student show your work page
11th - 12th
Calculus, Math
Also included in: Calculus Applications of Differentiation Unit Bundle
Calculus Applications of Derivatives
Through this activity students will determine critical numbers of functions, locate relative extrema and points of inflection, and utilize the first and second derivatives to locate intervals on which the function is increasing or decreasing and to describe its concavity. On the last problem, students will utilize all of these techniques, as well as their prior knowledge of finding the roots of a polynomial to graph a cubic function.
10th - 12th, Higher Education
Calculus, Math Test Prep
Thanksgiving Calculus First & Second Derivative Tests Pixel Art Mystery Pictures
Celebrate Thanksgiving with engaging calculus activities focused on the first and second derivative tests. Students analyze functions, including quadratics, cubics, quartics, rationals, and those with rational exponents, to determine critical points, intervals of increasing/decreasing values, inflection points, and concavity intervals. Each correct analysis unveils part of a festive Thanksgiving pixel art scene, making calculus exploration both educational and enjoyable. Product Highlights⭐️ 25
10th - 12th, Higher Education
Calculus, Math
Graphing Trigonometry Parent Functions - Graphic Organizers
Trigonometry Parent Functions - Graphic OrganizersSIX graphic organizers for the trigonometric functions: • Sine • Cosine • Tangent • Secant • Cosecant • Cotangent The graphic organizers include domain, range, continuity, symmetry, local maxima and minima, periods, asymptotes, intervals of increase and decrease, x and y intercepts, a table of important points, and a graph. Students can fill the graphic organizers in or a typed answer key version is included as well. These are great to give to st
10th - 12th
Algebra 2, Calculus, PreCalculus
CCSS
HSF-TF.A.2
, HSF-TF.B.6
Halloween Calculus First & Second Derivative Test Pixel Art Mystery Pictures
Celebrate Halloween with Calculus First & Second Derivative Tests Pixel Art! Students analyze functions, including quadratics, cubics, quartics, rationals, and those with rational exponents, using first and second derivative tests. They find critical points, intervals of increase/decrease, inflection points, and concavity, revealing a spooky mystery picture as they work through this engaging activity. Perfect for deepening calculus understanding with a holiday twist! Product Highlights⭐️ 25 D
10th - 12th, Higher Education
Calculus, Math
Also included in: Halloween: Calculus Derivatives BUNDLE Pixel Art Activities
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