Percent Increase and Decrease Quiz - Page 4
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Using the Chain Rule with Graphical Information Task Cards
This set of 20 task cards presents students with graphical information about functions f and g. Then students are asked to consider several composite functions 1. f(g(x)) 2. g(f(x)) 3. f(x^2) 4. f(-x^2) 5. f(f(x))
11th - 12th, Higher Education
Calculus, Math
Also included in: Chain Rule Activity Bundle
AP® Precalculus Unit 3.1 Periodic Phenomena Activity
Do you find that your AP ® Precalculus need more practice relating to periodic functions and finding the intervals for increasing, decreasing and concavity? Students will work through six problems to describe how to tell functions are periodic and then to describe the intervals for increasing, decreasing, concave up and concave down. ⭐Skills Required: Writing intervals for increasing and decreasingWriting intervals for concave up and downDetermining functions are periodic or not❤️Resource is Gr
9th - 12th
Algebra 2, Calculus, PreCalculus
Also included in: AP Precalculus Trignometric and Polar Functions Activity Practice Bundle
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
Graphical Inc/Dec, CU/CD, Abs Min/Max Circuit
This circuit uses graphs of the derivative of a function to determine if it is increasing or decreasing, concave up or concave down, and absolute extrema. Students are also asked to justify their answers. I have found these types of problems are scarce in the traditional textbook. I hope your students enjoy this circuit as much as mine do.
10th - 12th
Calculus, Math
Circuit Training - f, f', and f'' (calculus)
Give your students engaging practice with the circuit format! This 16-question circuit asks students about increasing / decreasing, max/min, concavity and inflection points based on their analysis of the first and/or second derivatives. Progressive in nature, it includes quite a few polynomials, a trig function, an exponential function, a rational function, a square root function, an exponential function, and a few absolute value composite functions. Product rule and chain rule are needed on
11th - 12th, Higher Education
Calculus
IB Math SL - Applications of Derivatives Problem Set
This problem set is for applications of derivatives. The main topics of the notes revolve around increasing/decreasing functions, local minimums and maximums, concavity, points of inflection, kinematics, and optimization.
9th - 12th
Calculus, Math
Calculus Foldable 3-2: Curve Sketching Aids
This is a three page foldable covering all the calculus curve sketching concepts (critical numbers, extrema, increasing/decreasing, points of inflections, and concavity), their definitions and how to find them using Calculus. My students find it easier to fill the foldable in over the week as we encounter the concepts in our discussions.
All my foldables are self-guided which allows the students to start the foldable in class for about 10 to 15 minutes then complete the AP style examples at ho
12th
Calculus
Also included in: Calculus AB Foldables Bundle
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
Mega Practice Set: Binomial Expansion (AP Precalculus suitable)
This resource includes: 50 exercises progressing from core skills to AP-style advanced questions 6 levels of increasing difficulty so students can build confidence as they go Complete answer keySuitable for in-class work, homework, quizzes, and review sessionsIdeal for AP teachers, tutors, and self-study students
10th - 12th, Higher Education
Calculus, PreCalculus
Properties of Functions and Function Library
This is an intense 28 page packet that covers topics and examples for the basics of functions
domain and range
continuity
intervals of increase and decrease
extrema
symmetry
asymptotes
x and y intercepts
end behavior
and then the following function families
linear
quadratic
cubic
square root
cube root
absolute value
reciprocal
exponential
logs
sine
cosine
greatest integer
all functions have a place for a sketch, table of values, function behavior (inc/dec/constant), end behavior, symmetry, domai
10th - 12th
Algebra 2, Calculus, PreCalculus
IB Math SL - Applications of Derivatives PowerPoint Notes
These PowerPoint notes (81 pages) are for applications of derivatives. The main topics of the notes revolve around increasing/decreasing functions, local minimums and maximums, concavity, points of inflection, kinematics, and optimization.
9th - 12th
Calculus, Math
Curve Sketching
When to Use I’ve used this as a way to put together critical numbers, critical points, intervals of increasing and decreasing, points of inflection, and concavity as part of the same problem, resulting in sketching the curve. When I use this resource, I usually do the first curve with the students and have them do the second one on their own. How to Use When I use this resource, I usually do the first curve with the students and have them do the second one on their own, so as more of an i
10th - 12th
Calculus, Graphing
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
Critical Numbers, First and Second Derivatives
Critical Numbers, First and Second Derivatives.
In this file, there are problems related to finding critical numbers, intervals of increase / decrease, local maximums and minimums, concavity and inflection points.
10th - 12th, Higher Education
Calculus
Derivative Graph Matching
Using only graphs of a function, its first derivative, and its second derivative, students will match the ideas of increasing/decreasing and concave up/concave down to the features of the function's derivative. You can also view the digital card sort version of this activity by clicking here.
11th - 12th
Calculus
CALCULUS: LOCAL MAXIMUM AND LOCAL MINIMUM
Objectives:
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
11th - 12th, Adult Education, Higher Education
Applied Math, Calculus
Also included in: BASIC 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
Calculus 1 (AB) Study Guide Formulas Reference Sheet 1 by Cute Calculus
•••If you find this download useful, please rate 5 star!•••Examples, explanations, CALCULUS MADE SIMPLE ON ONE SHEET front and back! Designed by a lover of all things colorful and compulsive doodler, April Terrazas. Designed to print front/back and 3-hole punch. Tutoring available, DM @CuteCalculus•Difference quotient •Average Rate of Change •Constant Rule •Power Rule •Sum/Difference Rule •Constant Rule Multiple •Product/Quotient Rule •Chain Rule •Inverse Function Theorem •Derivatives of Trig F
10th - 12th, Adult Education, Higher Education
Calculus, Math
Calculus Curve Sketching Line Them Up Activity
In this activity, students will practice working with curve sketching. Students should know how to find the maximum, minimum, intervals of increasing or decreasing, the point of inflection and intervals where a curve is concave up or concave down.
Each of these sets includes 8 questions. Students begin with any card in the set. They find the answer to that question on the top of another card. This process continues until the last card. The answer to the last card is on the top of the first
11th - 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
Velocity Acceleration AP Questions
This is 2 questions styled after AP questions where calculators may be used.
The questions have students determine distance (total distance), increasing or decreasing speed, if and where a particle changes direction, and acceleration.
Given is the question, a scoring guideline, and a blank answer sheet for students to use.
11th - 12th
Calculus
Critical Points Matching Cards
Students match a function, it’s critical points, where the function is at a minimum and/or maximum, where the function is increasing and/or decreasing and the sign chart for the first derivative. This activity has been revised.
11th - 12th, Higher Education
Calculus
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