Percent Increase and Decrease Quiz
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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
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)
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
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
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
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 Derivative Tests, Related Rates, IVT, MVT, EVT for Graphic Organizer
This AP® Calculus derivative graphic organizer is a great way for students to easily access the information needed to solve related rate problems, know when to use the first and second derivative tests and understand the differences between intermediate value theorem, extreme value theorem and mean value theorem. All three include a partially filled out sample. Leaves room for sample problems and specific classroom formulas, notes, etc. Surface area and volume formulas folding graphic orga
9th - 12th
Calculus, Math, PreCalculus
Change in Tandem AP® Precalculus 1.1 Activity Cut and Paste
Do you find that your AP ® Precalculus need more help on the change in tandem topic? Students will work on identifying the relationship between the input and output for given functions graphically and describe the rate of change as increasing, decreasing, positive and negative for AP ® Precalculus topic 1.1. This activity can be completed as just a worksheet or as a cut and paste activity. Students can cut out the solutions and paste them into the specific box for easy differentation as well.
9th - 12th
Algebra 2, Calculus, PreCalculus
CCSS
HSF-IF.B.4
Applications of Derivatives: Maximum Velocity of a Cough
This is created to be an in class assignment graded assignment, which will take approximately 25 minutes depending on the skill levels of the students. The answer key/scoring guidelines are attached at the end of the worksheet. The worksheet should be used after Increasing and Decreasing Functions and the First Derivative Test are taught.
9th - 12th, Higher Education
Calculus, Math, PreCalculus
AP Calculus - f' Analysis Cheat Sheet
Help your students organize their thoughts of f' Analysis using thiHelp your students stay organized and master the fundamentals of calculus with this comprehensive, one-page f' Analysis Cheat Sheet. Perfect for AP Calculus students, this resource provides clear and concise explanations of critical points, increasing and decreasing functions, concavity, inflection points, and relative maximums and minimums using both the first and second derivative tests and how to justify them effectively! Key
9th - 12th, Higher Education
Calculus
Functions Big Review
Here is a comprehensive Review of Functions for Polynomial, Rational, and Piecewise defined functions. There are no trig, exponential, or log functions included. Please zoom in on the preview to make sure this resource is appropriate for your classes. Topics include: Odd and Even functions Transformations Domain and range Composition of functions Increasing and Decreasing Maximum and Minimum Inverse Functions Asymptotes Included in this resource: 4 versions of an assessment/ worksheet/stu
9th - 12th
Calculus, PreCalculus
CCSS
HSA-APR.A.1
, HSF-IF.A.1
, HSF-IF.A.2
+14
Also included in: Calculus Essential Back to School Review Bundle
Complete Curve Analysis – Mastering Function Behavior in High School Mathematics
Curve sketching is more than drawing graphs—it is about understanding how functions behave. Complete Curve Analysis helps students move beyond memorized checklists toward genuine mathematical insight. This classroom-ready resource presents curve analysis as a coherent analytical process. Students explore how the function term, its derivatives, and its limits interact to shape the overall graph. By focusing on reasoning and interpretation, the material enables learners to explain why a funct
9th - 12th
Calculus, PreCalculus
Rates of Change Roller Coaster Activity Practice AP® Precalculus 1.2 and 1.3
Do you find that your AP ® Precalculus need more help connecting rate of change to real scenarios? Students will work on describing how two quantities very together and find the average rate of change for AP ® Precalculus topic 1.2-1.3. ⭐Skills Required: Rates of ChangeIncreasing and decreasingRate of change increasing and decreasingConcave up and concave down❤️Resource is Great for: AP® PrecalculusAP® CalculusAlgebra 2Remote LearningHomeschoolingTutoring⭐Includes: 2-page activity (2 versions
9th - 12th
Algebra 2, Calculus, PreCalculus
CCSS
HSF-IF.B.4
Advanced Curve Sketching Practice — Calculus AB/Calculus 1
Transform curve sketching from a memorized checklist into a meaningful reasoning process. This Calculus AB practice packet gives students 10 full curve-sketching problems that build conceptual understanding through progressively challenging function types — polynomial, rational, trigonometric, logarithmic, exponential, and piecewise. Each question leads students through: Domain and range reasoning Continuity and differentiability Critical points and increasing/decreasing intervals Concavi
9th - 12th, Higher Education
Calculus, Graphing
Also included in: Advanced Curve Sketching Practice & Key— Calculus AB/Calculus 1
Polynomial Functions and Rate of Change AP® Precalculus 1.4 Worksheet
Do you find that your AP ® Precalculus students need more help connecting average rate of change to graphs and applying key characteristics to polynomial functions? Students will work on describing how two quantities very together and find the average rate of change for AP ® Precalculus topic 1.4. ⭐Skills Required: Rates of ChangeIncreasing and decreasingRate of change increasing and decreasingMaximum and MinimumGlobal, absolute, local, relative❤️Resource is Great for: AP® PrecalculusAP® Ca
9th - 12th
Algebra 2, Calculus, PreCalculus
CCSS
HSF-IF.B.4
Applications of Derivatives Cheat Sheet | MVT, EVT, Optimization & Related Rates
Take your students beyond basic derivatives with this powerful Applications of Derivatives Cheat Sheet for AP Calculus! This 2-sided, one-page resource clearly organizes the most important concepts from Units 4 & 5, helping students apply derivatives in real-world and exam-style situations. 📘 What’s Included:• Mean Value Theorem (MVT) • Extreme Value Theorem (EVT) • Critical points and the Candidate’s Test • Increasing & decreasing intervals • First and Second Derivative Tests • Concavity and
9th - 12th, Adult Education, Higher Education
Applied Math, Calculus, Math Test Prep
Mega Math Practice Bundle | 111 Printable PDF Worksheets | All K-12 Skills
TITLE:Mega Math Practice Bundle – 111 Printable Worksheets Covering K–12 Skills Across 10 Topics PRODUCT DESCRIPTION:Unlock the ultimate printable math collection with this all-in-one Mega Math Practice Bundle—a powerhouse set of 111 high-quality PDF worksheets spanning every major math domain from Kindergarten through 12th grade. Organized into 10 expertly crafted topic bundles, this pack delivers thousands of skill-building questions across fluency drills, conceptual practice, and rea
PreK - 12th, Adult Education, Higher Education
Algebra, Calculus, Numbers
AP Precalculus Unit 1 MEGA BUNDLE - Exams, Quizzes, & 60-Question Practice Bank
Save time and stay fully aligned — this ready-to-use Unit 1 assessment bundle covers every testable concept in AP Precalculus Polynomial & Rational Functions (Topics 1.1–1.14). ━━━━━━━━━━━━━━━━━━━━━━━━ WHAT'S INCLUDED (100+ Questions) ━━━━━━━━━━━━━━━━━━━━━━━━ Exam Version A — 15 MCQs + 1 FRQ Focus: polynomial modeling & applied contexts Exam Version B — 15 MCQs + 1 FRQ Focus: rational functions & analytic manipulation Quiz 1 — 5 MCQs (Topics 1.1–1.6, Polynomial) Quiz 2 — 5 MCQs (Topics 1.7–1.14,
9th - 12th
Calculus, Math Test Prep, PreCalculus
CCSS
HSF-IF.B.4
, HSF-IF.C.7a
, HSF-IF.C.7c
+3
AP Precalculus Unit 2 MEGA BUNDLE - Exams, Quizzes, & 60-Question Practice Bank
AP Precalculus Unit 2 Assessment & Review Super-BundleMaster the complexities of Exponential and Logarithmic Functions with this all-in-one assessment and review suite. This bundle is meticulously engineered to align with the College Board’s AP Precalculus Course and Exam Description (CED) for Topics 2.1–2.15. By combining rigorous, AP-style summative exams with a massive 60-question comprehensive practice bank, this resource provides a complete instructional bridge from initial concept checks
9th - 12th
Calculus, Math Test Prep, PreCalculus
CCSS
HSF-BF.B.4
, HSF-BF.B.4a
, HSF-LE.A.1
+4
Unit Circle Quiz, Practice, and Key
File contains three pages: a blank unit circle quiz, a blank unit circle practice page, and a unit circle key. 2/22/2022 - fixed typo on the key 12/29/2023 - added Easel activity Please leave me a comment if you have any suggestions on how to make the Easel assignment better. I was hoping that students would be able to copy and paste the square root and pi symbols to put in the boxes, but I don't know if it actually works to do that.
9th - 12th, Adult Education, Higher Education
Algebra 2, Calculus, PreCalculus
Calculus Mini Quiz: Derivatives & Integrals, Timed Practice
Timed Calculus Quiz – Derivatives & Integrals (2 Versions Included!)Need a quick, ready-to-use calculus assessment? This timed quiz is designed to give students focused practice with derivatives and integrals in a short, structured format. Perfect for bell-ringers, exit tickets, pop quizzes, or formal assessments! ✨ What’s Included: 4-question quiz (2 derivative problems + 2 integral problems) Two unique versions of the quiz for variety or easy makeup testing Clear formatting for easy print
9th - 12th
Calculus, Physical Science, Physics
Also included in: AP Physics C Algebra + Calculus Review: Unit Bundle
Challenging Math Practice Quiz | Grades 7–10 | SAT & Test Prep
Strengthen student problem-solving skills with this rigorous Math Hard Practice Quiz, designed to stretch thinking and prepare learners for high-stakes exams like the SAT, state assessments, or classroom competitions. This multi-topic resource includes algebra, geometry, number theory, data/statistics, and more—making it perfect for: Advanced learners needing enrichment Middle or high school math reviews Standardized test preparation or end-of-year practice No-prep sub plans and at-home
7th - 10th
Calculus, Math Test Prep
Limits from Graph Worksheets and Quiz, Continuity, Infinite, Infinity, Piecewise
This is part of my last unit of my Pre-Calculus curriculum on Limits but I also use it for the first unit in Calculus. Included are 7 Practice worksheets and 7 Quizzes to go with each. There is also a test, but it contains other Pre-Calculus subjects because I do cumulative tests. You can always just use the Limits portion. The worksheets are really nicely formatted, especially the graphs, making it very simple for even weaker students to grasp limit concepts. Topics included:Quiz #23: Evalua
9th - 12th
Calculus, Math, PreCalculus
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