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Preview of Calculus Curve Sketching Quiz First Derivative Test

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.
Preview of Functions and Concavity Unit 1 AP Precalculus (1.1-1.3 on Calc Medic)

Functions and Concavity Unit 1 AP Precalculus (1.1-1.3 on Calc Medic)

Created by
Timothy Shell
This quiz was made to align with Calc Medic's curriculum, but can be used for all curriculums. Quizzes key parts of functions, domain/range, increasing/decreasing, concavity, point of inflection, and graphically and algebraic questions. Theoretical and analytical.
Preview of Calculus Worksheet #14: Curve Sketching

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
Preview of Derivative Applications Quiz and Test Pack (AP Calculus AB)

Derivative Applications Quiz and Test Pack (AP Calculus AB)

Created by
Mr Johnney
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
Preview of Exit Tickets: Derivative Skills & Applications (Grade 12)

Exit Tickets: Derivative Skills & Applications (Grade 12)

Created by
Mr Johnney
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
Preview of Percent Word Problems Worksheet – Discounts, Markups & Multi-Step Changes

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
Preview of 1st & 2nd Derivative Tests: Increasing Decreasing Intervals, Extrema, Concavity

1st & 2nd Derivative Tests: Increasing Decreasing Intervals, Extrema, Concavity

No Prep & Digital! Do your Calculus 1 students need practice using derivatives to find intervals where a function is increasing or decreasing, relative & absolute extrema, and intervals where a function is concave up or down using the first or second derivative test? No application problems are included, perfect for students to solidify understanding of using 1st & 2nd derivative tests. Practice Determining:⭐ Critical points ⭐ Intervals of increase/decrease⭐ Points of inflection⭐ Abso
Preview of Identifying Increasing and Decreasing Intervals Self-Checking Worksheet

Identifying Increasing and Decreasing Intervals Self-Checking Worksheet

Created by
Aric Thomas
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
Preview of Functions - Increasing, Decreasing, Maxima and Minima

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.
Preview of Curve Sketching - Intervals of Increase and Decrease MATCHING

Curve Sketching - Intervals of Increase and Decrease MATCHING

Created by
Mathy Matchy
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.)
Preview of Increasing and Decreasing Intervals

Increasing and Decreasing Intervals

Bundle of resources for a lesson on Increasing and Decreasing Intervals. Includes the following (note that all resources can be edited, equations may require MathType): PowerPoint presentation for the lesson itselfWord Guided Notes to go with lessonWord handouts for a homework assignment plus 1 to 6 extra practice problem sets, depending on the lesson. Most questions are at AP level of rigor.PowerPoint presentations for full solutions to problem setsThe layout is very straightforward (no visua
Preview of Integrals Basics Quiz & Test Pack AP Calculus AB

Integrals Basics Quiz & Test Pack AP Calculus AB

Created by
Mr Johnney
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
Preview of Converting Decimals to Percents Emoji Quiz

Converting Decimals to Percents Emoji Quiz

Created by
WhooperSwan
Solve the quiz and send a message to your teacher! There are emoticons used instead of classic A,B,C,D quiz answers. You can ask your students to send their answers with whatsapp, facebook or other service to make it more fun :) Then you compare emoticons with answer page. Perfect for homework! Not sure if this emoji quiz are for you? Download a FREE sample - "1-Digit Addition Emoji Quiz [Free]" and test it out!5 Quizzes with answers. Each quiz worksheet includes 8 unique problems. You can purc
Preview of Converting Percents to Decimals Emoji Quiz

Converting Percents to Decimals Emoji Quiz

Created by
WhooperSwan
Solve the quiz and send a message to your teacher! There are emoticons used instead of classic A,B,C,D quiz answers. You can ask your students to send their answers with whatsapp, facebook or other service to make it more fun :) Then you compare emoticons with answer page. Perfect for homework! Not sure if this emoji quiz are for you? Download a FREE sample - "1-Digit Addition Emoji Quiz [Free]" and test it out!5 Quizzes with answers. Each quiz worksheet includes 8 unique problems. You can purc
Preview of Percent of a Number Emoji Quiz

Percent of a Number Emoji Quiz

Created by
WhooperSwan
Solve the quiz and send a message to your teacher! There are emoticons used instead of classic A,B,C,D quiz answers. You can ask your students to send their answers with whatsapp, facebook or other service to make it more fun :) Then you compare emoticons with answer page. Perfect for homework! Not sure if this emoji quiz are for you? Download a FREE sample - "1-Digit Addition Emoji Quiz [Free]" and test it out!5 Quizzes with answers. Each quiz worksheet includes 8 unique problems. Please CLICK
Preview of Derivatives and Motion Problems | Kinematics Calculus Worksheet + Answers

Derivatives and Motion Problems | Kinematics Calculus Worksheet + Answers

Created by
STEMora
Engage your Year 11 ATAR Mathematics Methods students with this comprehensive Applications of Derivatives to Kinematics worksheet. Designed to build confidence in applying calculus to motion problems, this resource includes a wide range of questions from straightforward calculations to applied problem-solving and mixed challenges. What’s Inside: Part A: Fundamental differentiation practice with displacement, velocity, and acceleration. Part B: Real-world applied kinematics problems (cars, ball
Preview of AP CALCULUS AB - 5.9 CONNECTING F(X) WITH ITS 1ST & 2ND DERIVATIVES WORKSHEET

AP CALCULUS AB - 5.9 CONNECTING F(X) WITH ITS 1ST & 2ND DERIVATIVES WORKSHEET

Created by
MATH WITH YOSH
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
Preview of Increasing Decreasing Rolle's Theorem

Increasing Decreasing Rolle's Theorem

Created by
Betty Watson
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
Preview of Graph Analysis with the 1st Derivative Practice (Editable)

Graph Analysis with the 1st Derivative Practice (Editable)

Problem types: Intervals of increase and decreaseRelative extremaAbsolute extremaDerivative rules needed: Power ruleQuotient ruleChain rule
Preview of Graph Analysis with the 1st Derivative Practice

Graph Analysis with the 1st Derivative Practice

Problem types: Intervals of increase and decreaseRelative extremaAbsolute extremaDerivative rules needed: Power ruleQuotient ruleChain rule
Preview of First Derivative Test CIRCUIT worksheet | worked solutions | Digital and Print

First Derivative Test CIRCUIT worksheet | worked solutions | Digital and Print

Created by
Hoff Math
Students practice using the First Derivative Test to find intervals of increasing/ decreasing and coordinates of relative extrema in this self-checking CIRCUIT ACTIVITY that includes both a printable version and a digital version which can be given as homework, classwork, or extra practice. This resource covers topics 5.3 and 5.4 of the AP Calculus CED. The digital version uses Google Forms.Bundle and save! Skip the prep and grab the Calculus Course Full Curriculum Bundle. This all-in-one resou
Preview of Single digit addition practice : Find the Hidden Pixel Art

Single digit addition practice : Find the Hidden Pixel Art

Created by
Sstudio sunny
students can use Google™ Sheets to solve up to 25 single-digit addition Quiz and find hidden pixel art. Click the preview to see all questions for each level. The 25-space calculation increases the basic calculation ability by addition the numbers written on the horizontal and vertical 5 cells to fill a total of 25 cells. It is composed simply, but the effect is said to be miraculous. Correct answers are marked with red text color, and students are rewarded with colored pixels that appear on hid
Preview of Calculus - Curve Sketching Activity Sheet w Spanish Translation

Calculus - Curve Sketching Activity Sheet w Spanish Translation

This activity sheet has 10 conceptually based questions on using information about the first and second derivatives to create a sketch of a function. Students use the first derivative to decide where a function might increase, decrease, or level off. The second derivative describes where the function is concave up or down and where a point of inflection might occur. The questions are designed to be used with Advanced Placement Calculus students. A Spanish translation is included. You will
Preview of AP® Precalculus Unit 3.1 Periodic Phenomena Activity

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
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