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Preview of Calculus I Worksheets (L7): Graph Sketching

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
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 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 Finding Extrema & Intervals of Increase and Decrease | Calculus Derivative

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
Preview of AP Calculus Quarter 3 - Powerpoint Lessons, Notes & Worksheets

AP Calculus Quarter 3 - Powerpoint Lessons, Notes & Worksheets

Created by
Hybrid Learning
This is the 3rd QUARTER of the entire full year of powerpoint presentation lessons, notes, worksheets and google slides activities. Some things have answer keys and other don't. AP Calculus Course Curriculum Content:Unit 5 Analytical Applications of Derivatives5.1     Using the Mean Value Theorem 5.2     Extreme Value Theorem, Global Versus Local Extrema, and Critical Points 5.3     Determining Intervals on Which a Function is Increasing or Decreasing 5.4     Using the First Derivative Test to
Preview of IntervaI Practice | Intervals for Increasing, Decreasing, Constant from a Graph

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
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 Unit 5 Calculus Analytical Applications of Derivatives Lesson & Worksheets

Unit 5 Calculus Analytical Applications of Derivatives Lesson & Worksheets

Created by
Hybrid Learning
Whole Unit on Analytical Applications of Derivatives. Powerpoint presentations, notes and worksheets. Some things have answer keys. Unit 5 Analytical Applications of Derivatives5.1     Using the Mean Value Theorem 5.2     Extreme Value Theorem, Global Versus Local Extrema, and Critical Points 5.3     Determining Intervals on Which a Function is Increasing or Decreasing 5.4     Using the First Derivative Test to Determine Relative (Local) Extrema 5.5     Using the Candidates Test to Determine A
Preview of Unit 5 Calculus Analytical Applications of Derivatives

Unit 5 Calculus Analytical Applications of Derivatives

Whole Unit on Analytical Applications of Derivatives. Powerpoint presentations, notes and worksheets. Some things have answer keys. Unit 5 Analytical Applications of Derivatives5.1     Using the Mean Value Theorem 5.2     Extreme Value Theorem, Global Versus Local Extrema, and Critical Points 5.3     Determining Intervals on Which a Function is Increasing or Decreasing 5.4     Using the First Derivative Test to Determine Relative (Local) Extrema 5.5     Using the Candidates Test to Determine Ab
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
Preview of Properties of Functions Practice

Properties of Functions Practice

Created by
MathMUDtician
This worksheet uses piecewise graphs to practice all of the major features and properties of functions, and includes an answer key. Topics covered are: interval notation, domain, range, increasing, decreasing, constant, extrema, continuity, and types of discontinuities.
Preview of Change in Tandem AP® Precalculus 1.1 Activity Cut and Paste

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.
Preview of Curve Analysis & Derivatives – A Complete Guide to Function Behavior | WORKBOOKS

Curve Analysis & Derivatives – A Complete Guide to Function Behavior | WORKBOOKS

Build deep understanding of functions using derivatives, limits, and curve analysisThis bundle is designed for high school math teachers who want students to move beyond procedural differentiation and toward true conceptual mastery of function behavior. Students learn how derivatives, limits, and asymptotes work together to describe increasing and decreasing behavior, local extrema, concavity, inflection points, and global structure of functions. Instead of isolated skills, the materials prese
Preview of Complete Curve Analysis – Mastering Function Behavior in High School Mathematics

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
Preview of Rates of Change Roller Coaster Activity Practice AP® Precalculus 1.2 and 1.3

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
Preview of Advanced Curve Sketching Practice — Calculus AB/Calculus 1

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
Preview of Polynomial Functions and Rate of Change AP® Precalculus 1.4 Worksheet

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
Preview of AB/BC Worksheet 3-7 (Curve Sketching)

AB/BC Worksheet 3-7 (Curve Sketching)

This bundle includes three documents. The first is an easily printable pdf file of my worksheet, the second is a fully editable version of the same worksheet, and the third is a full-color answer key in pdf format. Worksheet 3-7 can be used for both AB and BC courses. It is four pages long, provides ample room for students to stay neat & to show their work, and contains 15 questions (several with multiple parts) covering the following topics: -complete analysis of the graph of a function, i
Preview of Mega Math Practice Bundle | 111 Printable PDF Worksheets | All K-12 Skills

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
Preview of AP Precalculus Unit 1 MEGA BUNDLE - Exams, Quizzes, & 60-Question Practice Bank

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,
Preview of AP Precalculus Unit 2 MEGA BUNDLE - Exams, Quizzes, & 60-Question Practice Bank

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
Preview of Unit Circle Quiz, Practice, and Key

Unit Circle Quiz, Practice, and Key

Created by
KstevMath
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.
Preview of Challenging Math Practice Quiz | Grades 7–10 | SAT & Test Prep

Challenging Math Practice Quiz | Grades 7–10 | SAT & Test Prep

Created by
Ousbest
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
Preview of Limits from Graph Worksheets and Quiz, Continuity, Infinite, Infinity, Piecewise

Limits from Graph Worksheets and Quiz, Continuity, Infinite, Infinity, Piecewise

Created by
Chris Derby
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
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