Percent Increase and Decrease Quiz
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Calculus Curve Sketching Quiz First Derivative Test
This is a collection of 5 calculus quizzes that test whether students can use calculus to analyze the first and second derivative of an equation and then answer questions about the original function. Students must know how to find:intervals of increase/decreasewhere is the maximum/minimumintervals of concavitywhere is the point of inflectionEach of these 5 quizzes contains 10 questions. The first two quizzes are very basic and straight forward. The second three quizzes are a little bit harder.
11th - 12th
Calculus, Math
Calculus I Worksheets (L7): Graph Sketching
Worksheet, quiz, and solutions accompanying Calculus I video Calculus Graphing Secrets: The First and Second Derivative Test ExplainedVideo Description: In this lecture from the Prodigy Mathematics Calculus I series, we explore how to sketch graphs using the powerful tools of differential calculus. Instead of relying solely on tables of values, you'll learn how to use the first and second derivative tests to identify critical points, determine intervals of increase and decrease, analyze concavi
9th - 12th, Higher Education
Calculus
Calculus Worksheet #14: Curve Sketching
The 14th of a 20-worksheet sequence created to scaffold and support honors calculus curriculum. Covers finding intervals of increase/decrease and relative extrema; identifying intervals of concavity and points of inflection; and using these to generate accurate graphs of differentiable functions. With a focused and self-contained design, this versatile resource can be used as a small group activity, a homework assignment, a quiz, individual practice for a classwide lesson, or targeted review for
9th - 12th, Higher Education
Calculus
Also included in: Calculus Worksheet Collection
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)
Derivative Applications Quiz and Test Pack (AP Calculus AB)
Master every major derivative application with this Grade 12 / AP Calculus AB Quiz & Test Pack — a complete bundle of six topical quizzes and two cumulative AP-style tests covering tangent lines, motion, increasing/decreasing behavior, extrema, concavity, and optimization. Each quiz isolates one essential derivative concept while the cumulative tests blend them together for realistic exam practice. Students will move from core skills like finding tangent and normal lines and interpreting moti
12th
Algebra 2, Calculus, Math Test Prep
Exit Tickets: Derivative Skills & Applications (Grade 12)
End class with data you can actually use. This set of Grade 12 / AP Calculus AB exit tickets gives you quick, single-skill checks that reveal whether students can compute derivatives correctly and interpret what derivatives mean in context. The tickets are organized by skill so you can match them to your daily lesson: start with derivative rules practice, then move into interpretation, tangent line/linearization, increasing/decreasing analysis, concavity, and real applications like motion and
12th
Algebra 2, Calculus, Math Test Prep
Percent Word Problems Worksheet – Discounts, Markups & Multi-Step Changes
This Percent Word Problems Worksheet focuses on real-world applications of percentage increase and decrease. Students work with growth and decay factors, original price problems, and multi-step percentage changes. The worksheet includes: Calculating new prices after discounts and markups Finding the original price before a percentage change Multi-step percent changes (successive discounts and increases) Error analysis and reasoning tasks Conceptual reflection on percentage language Students
7th - 9th
Basic Operations, Calculus, Other (Math)
Also included in: Percentages Bundle – Worksheets, Word Problems & Review (6 Resources)
Calculus Increasing and Decreasing Functions Curve Sketching
This Calculus resource, Increasing and Decreasing Functions is part of the unit, Analytic Applications of the Derivative, and will reinforce your students' skills as they practice using Calculus to determine increasing and decreasing intervals. What's Included?Task Cards: There are 10 Task Cards. Students use Calculus to determine the largest interval for which a function is increasing or decreasing without using a Graphing Calculator. Some of the answers are obvious for those who know paren
11th - 12th, Higher Education
Calculus, Math
Also included in: Calculus Applications of Differentiation Unit Bundle
Identifying Increasing and Decreasing Intervals Self-Checking Worksheet
Identify intervals where f(x) is increasing or decreasing by analyzing the sign of f'(x). Standards: AP Calculus AB/BC Unit 5 — FUN-4.A (monotonicity from f'). This is a self-checking worksheet. Each problem has a matching answer in the design grid above; as students shade in their answers, a symmetrical pattern appears. If the pattern looks right, the work is right — students catch their own mistakes before turning it in, and you can spot-check the page at a glance. Works for classwork, homewor
11th - 12th
Calculus, Math Test Prep, PreCalculus
Finding Extrema & Intervals of Increase and Decrease | Calculus Derivative
Help your students build strong calculus foundations with this comprehensive and visually clear worksheet + mini-lesson on relative and absolute extrema and increasing/decreasing intervals! Students will learn how to use first and second derivatives to analyze functions, identify critical points, and determine where functions are increasing or decreasing — all through step-by-step guided problems. What’s Included:✅ Engaging Lesson Page explaining: Critical points Relative and absolut
9th - 12th
Calculus, Math Test Prep, PreCalculus
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 Increasing and Decreasing Functions - Coloring Page Activity
Students will use their knowledge of INCREASING AND DECREASING FUNCTIONS in this coloring sheet. It is way more fun than a traditional worksheet, and it's great for teachers to use for student work displays. ANSWER KEY INCLUDED Are you looking for more on your APPLICATIONS OF DIFFERENTIATION unit? Check out these resources! Applications of Differentiation - Notes SlideshowApplications of Differentiation - AssessmentsApplications of Differentiation - Digital Escape RoomAbsolute Extrema Activity
11th - 12th
Calculus, Math, PreCalculus
Also included in: CALCULUS - Entire Course Bundle!
First Derivative Test (Increasing and Decreasing) - Calculus Notes & Practice
Calculus teachers -- are you looking for straightforward guided notes for your students on using the first derivative test to determine where a function is increasing or decreasing? This 2-page guided notes lesson walks students through how to use the candidates test to determine intervals of increasing and decreasing for a given function. A coordinating video of the entire lesson is also included! About This Resource: Covers the first derivative test & identifying where a function is increasi
11th - 12th
Calculus, Math
Functions - Increasing, Decreasing, Maxima and Minima
This self-checking worksheet has 9 functions which should be put into a graphing utility to find the maximum and/or minimum value. Then, using those values, find either the increasing or decreasing interval. When finished, the students will find a mathematical saying.
10th - 12th
Algebra 2, Calculus, PreCalculus
Intervals of Increase and Decrease
This worksheet requires the students to take the first derivative of a variety of different function including trig to find intervals of increase, decrease and find the local extremas. Solutions are provided. Chain rule is useful for several problems.
11th - 12th
Calculus
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
Differentiation - Increasing and Decreasing Intervals
This self-checking worksheet works the student on increasing and decreasing open intervals using differentiation. The differentiation rules used are power rule, quotient rule and chain rule. Some trig functions are also included. When finished, the student will find the answer to a riddle.
11th - 12th, Higher Education
Algebra 2, Calculus, Graphing
Integrals Basics Quiz & Test Pack AP Calculus AB
Assess integrals from the ground up with this Integrals Basics Quiz and Test Pack for Grade 12 / AP Calculus AB. This pack gives you clean, AP-aligned assessments that measure both computation and reasoning across the full “Integrals Basics” skill set: Riemann sums, numerical integration, FTC/definite integrals, and core antiderivative rules. It’s built to save you planning time while keeping your assessments consistent, rigorous, and easy to grade. You get 3 quizzes + 3 unit tests, plus a qu
12th
Algebra 2, Calculus, Math Test Prep
Connecting f(x) to its First & Second Derivatives Card Sort - AP Calculus Unit 5
Help students review connecting the graphs of f f' and f'' (the first and second derivative graphs) with the fun card sort activity. All questions in this word scramble activity are aligned to AP Calculus sections 5.3 Determining Intervals on Which a Function is Increasing or Decreasing 5.4 Using the First Derivative Test to Determine Relative Local Extrema 5.6 Determining Concavity of Functions over Their Domains 5.8 Sketching Graphs of Functions and Their Derivatives 5.9 Connecting a Function,
10th - 12th, Higher Education
Calculus
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
Derivatives of Logarithmic Functions Task Cards plus Quiz HW
Are you looking for extra practice for your Calculus students finding the Derivatives of the Logarithmic Functions? This set of 20 task cards is just what your students need to help them master and gain fluency with this challenging topic. What's Included?20 Task Cards which increase in difficulty numerically. #1 - 15 are logarithmic functions and the derivatives will use power rule, product rule, and quotient rule. #16 - 18 have bases other than e, and 19 – 20 are applications. Most problems
11th - 12th, Higher Education
Calculus, Math
Also included in: Calculus Derivatives and Differentiation Units Bundle
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
Derivatives of Exponential Functions Task Cards Quiz HW
Are you looking for extra practice for your Calculus students finding the derivatives of Exponential Functions? This set of 20 task cards is just what you want to help your Calculus students master and gain fluency with differentiating exponential functions. What's Included?2 Sets of 20 Task Cards which increase in difficulty numerically. #1 - 11 are exponential which include power rule, product rule, and quotient rule. They also include questions in the form of y = e^ax. #11-15 have bases ot
11th - 12th, Higher Education
Calculus, Math
Also included in: Calculus Derivatives and Differentiation Units Bundle
Sequences (NOT Arithmetic & Geometric)-10 Practice Pages (80 CLASIFIED Problems)
*The product is designed for PreCalculus through Calculus. These are 10 practice pages/sheets on sequences containing a total of 80 classified problems. Students will find the first n terms of explicitly- defined sequence (page 1, 10 problems)find the first n terms of recursively – defined sequence (page 2, 8 problems)write the explicit rule for the nth term of a given sequence (page 3, 10 problems)determine whether given sequences are monotonic (page 4, 8 problems)prove that given sequence
10th - 12th
Algebra 2, Calculus, PreCalculus
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