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Preview of AP Calculus AB Guided Notes - Increasing and Decreasing Functions and the FDT

AP Calculus AB Guided Notes - Increasing and Decreasing Functions and the FDT

Aligned with Calculus for AP (2ed.) by Ron Larson and Paul Battaglia, these guided notes go through Chapter 3.3 - Increasing and Decreasing Functions and the First Derivative Test, and includes all theorems, definitions, and problems.
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 Mega Practice Set: Binomial Expansion (AP Precalculus suitable)

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
Preview of Calculus 1st First Derivative Test Digital Maze

Calculus 1st First Derivative Test Digital Maze

Created by
Joan Kessler
Your Calculus students use the 1st Derivative Test in this fun digital Zombie themed activity to determine if the given function is increasing, decreasing, or neither at a given point. This activity is designed to be used without Graphing calculators. Each answer leads them to the next question. There are 16 problems and students must complete 15 of them to correctly complete the maze. Derivatives include the product rule, quotient rule, chain rule, sine, cosine, inverse sine, logarithmic,
Preview of AP CALCULUS BC - 7.9 LOGISTIC DIFFERENTIAL EQUATIONS WORKSHEET

AP CALCULUS BC - 7.9 LOGISTIC DIFFERENTIAL EQUATIONS WORKSHEET

Created by
MATH WITH YOSH
This Calculus worksheet is intended for students after they have learned the 7.9 Logistic Models with Differential Equations lesson from Unit 7 (AP Calculus BC Course and Description). In this worksheet, I have included multiple choice practice problems where students apply the model for logistic growth: dy/dt=ky(a-y). Given a logistic differential equation, students will then be able to identify: 1. The limiting value (carrying capacity) 2. The graph of the solution to a logistic differential
Preview of Applications of Derivatives 1-Pager AP Calculus AB

Applications of Derivatives 1-Pager AP Calculus AB

AP Calculus AB: Applications of Derivatives 1-Pager | Extrema, Concavity & OptimizationHelp your students master one of the most heavily tested AP topics with this comprehensive applications of derivatives summary sheet. Includes: ✔ Critical numbers and extrema ✔ First and Second Derivative Tests ✔ Increasing/decreasing intervals ✔ Concavity and points of inflection ✔ Optimization strategy ✔ Rolle’s Theorem ✔ Mean Value Theorem ✔ Curve sketching checklist ✔ Tangent line approximation & different
Preview of Derivative Detectives: f, f ′ , and f ′′  Graphing Activity | Calculus Review

Derivative Detectives: f, f ′ , and f ′′ Graphing Activity | Calculus Review

Turn derivative graph analysis into an engaging mystery with Derivative Detectives! In this calculus activity, students act as detective mathematicians as they analyze evidence, examine suspect graphs, and connect a function with its first and second derivatives. Students practice identifying relationships between f, f′, and f′′ using increasing/decreasing behavior, local extrema, concavity, inflection points, and derivative sign patterns. What’s Included Teacher instructions Student packet
Preview of Power Rule Worksheet

Power Rule Worksheet

This Power Rule worksheet provides straightforward, independent practice for students learning how to differentiate functions using the Power Rule. Unlike a guided worksheet, this resource is designed for students who are ready to apply the rule on their own without structured steps or prompts. The problems increase in complexity to help build fluency and confidence while reinforcing foundational derivative skills. Perfect for classwork, homework, bell-ringers, or quick review before quizzes and
Preview of Calculus Matching Graphs of Derivatives, f, f', f''  Digital Activity

Calculus Matching Graphs of Derivatives, f, f', f'' Digital Activity

Created by
Joan Kessler
In this Calculus Interactive Digital Graphs of the Derivatives Using Curve Sketching your students will examine three graphs on each slide to determine which is the graph of original function, the graph of first derivative, and the graph of the second derivative. They will use their knowledge about derivatives, increasing and decreasing functions, max's and min's, and points of inflection to complete the assignment. IncludedPDF with links to the product. Detailed illustrated instructions on a
Preview of Applications of Derivatives Cheat Sheet | MVT, EVT, Optimization & Related Rates

Applications of Derivatives Cheat Sheet | MVT, EVT, Optimization & Related Rates

Created by
KingMamaMath
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
Preview of 5 INCR./DECR., RELATIVE EXTREMA, GIVEN F' IDENTIFY CHARACTERISTICS OF F

5 INCR./DECR., RELATIVE EXTREMA, GIVEN F' IDENTIFY CHARACTERISTICS OF F

Created by
MATH WITH YOSH
This Calculus worksheet is intended for students after they have learned the following topics (Unit 5 AP Calculus Course and Description): 5.3 - Determining intervals on which a function is increasing or decreasing 5.4 - Using the first derivative test to determine relative (local) extrema In this worksheet, students will practice given the graph of f', identifying the intervals of increase and decrease of f and where f has a local minimum and maximum. They will also practice given a function f,
Preview of Graphs of First & Second Derivatives Identify and Match f, f', f''

Graphs of First & Second Derivatives Identify and Match f, f', f''

Created by
Joan Kessler
In this activity students practice identifying the Graphs of a function and its first and second derivative, f, f ', and f ''. They analyze 3 graphs, one blue, one black, and one red, superimposed on the same coordinate grid, to determine which is the graph of original function, the graph of first derivative, and the graph of the second derivative. The activity does not require differentiation, but requires students to understand increasing, decreasing, relative extrema, and concavity. Man
Preview of Algebra I: Translating Words to Math (Editable)

Algebra I: Translating Words to Math (Editable)

Created by
Concept Clicks
FeatureDetailTotal Slides:~20 Slides Key Activities:2 (Vocabulary matching, Translation practice) Full Product DescriptionTopic: Algebra I Key Concepts: Variables, Algebraic Expressions, Evaluation, Simplifying, Key Words (Sum, Difference, Product) Target Grade Level: Grades 7-9 An excellent foundation lesson for Algebra I. This editable PowerPoint focuses on the critical skill of translating English phrases into mathematical expressions (e.g., "Ten more than a number" becomes "n + 10"). Importa
Preview of Mega Practice Set – Graphs of Exponential Functions (AP Precalculus)

Mega Practice Set – Graphs of Exponential Functions (AP Precalculus)

This Mega Practice Set is a collection of 32 multiple-choice exercises designed to help students master the behavior and graphing properties of exponential functions. Perfect for AP Precalculus classes, tutoring sessions, review days, and targeted skills practice. This PDF is organized into three levels of difficulty: Level 1 – Exponential Growth/Decay & LimitsStudents determine whether a function represents growth or decay, analyze end behavior, and calculate limits Level 2 – Table Interpre
Preview of Infinite Sequences and Series Daily Quizzes (BC Calculus - Unit 10)

Infinite Sequences and Series Daily Quizzes (BC Calculus - Unit 10)

⭐⭐ This  AP Calculus Unit 10-BC Daily Quiz Bundle provides you with a  customizable and  fully-editable resource of daily content quizzes that cover the topics for Infinite Sequences and Series. ⭐⭐ The  Ready-to-Go Daily Quiz Bundle will cover the 15 topics stated in the College Board Course Framework (CED). The daily quizzes are designed to be completed in 10-15 minutes. Each set of Daily Quizzes is designed to cover the standards of the course and help you assess understanding as you move
Preview of Calculus Formula Sheet/Bookmark and Seven Quizzes

Calculus Formula Sheet/Bookmark and Seven Quizzes

This includes a document that can be copied front to back to provide a 1/2 page reference sheet of all the derivative and integral rules for AP Calculus AB and BC. If you print it 2 pages to one, you can create bookmarks (use cardstock) for students to use in their interactive journals. My students liked the bookmarks and liked that they could pull it out as needed. This also contains 7 "formula" quizzes. They are the same exact formulas with the right-hand column blank - they are just mixed up
Preview of Applied Economics | Unit 1 | Quiz | PPC & Opportunity Cost

Applied Economics | Unit 1 | Quiz | PPC & Opportunity Cost

Overview:Unit 1 introduces students to the core principles of economics, including scarcity, opportunity cost, supply and demand, comparative advantage, and the role of government in addressing market failures. This is the first unit quiz from the Applied Economics course, offering a combination of conceptual questions and real-world applications—ideal for honors or AP-level high school classes or introductory undergraduate microeconomics. What’s Included:10 multiple choice questions covering: S
Preview of Unit Circle: Study Sheet, Quiz, and Answer Key

Unit Circle: Study Sheet, Quiz, and Answer Key

Created by
Jesse Arnold
This resource includes a blank unit circle with areas to fill in the radian angles, degree angles, sine values, cosine values, and tangent values for student practice. Additionally, a unit circle quiz and answer key are also included with directions and a full page of problems of various difficulty levels to solve with a completed unit circle.
Preview of Applied Economics | Unit 2 | Quiz | GDP & Unemployment

Applied Economics | Unit 2 | Quiz | GDP & Unemployment

Overview:Unit 2 introduces students to the tools economists use to measure economic performance, including GDP, unemployment, and inflation. Students learn how these indicators are calculated and their limitations. The unit also includes an overview of the business cycle and covers aggregate demand and supply as models for explaining changes in output and prices. This is the second unit quiz from the Applied Economics course, offering a combination of conceptual questions and real-world applicat
Preview of Which Economic Fallacy Do You Fall For? Behavioral Economics Quiz

Which Economic Fallacy Do You Fall For? Behavioral Economics Quiz

Created by
QuizBreakers
We often make economic decisions influenced by hidden biases and mental shortcuts. These fallacies can lead to irrational choices in everything from daily purchases to major life decisions. This quiz provides students with a mirror to their own decision-making habits, offering a perfect entry point for units on Consumer Science, Psychology, Economics, or Life Skills. What’s Included:A 5-Question Scenario-Based Quiz: Students navigate five common dilemmas to see which "trap" they fall for most
Preview of Psychology Lab Weber's Law and Hearing: How Much Louder to Notice a Difference?

Psychology Lab Weber's Law and Hearing: How Much Louder to Notice a Difference?

Created by
Brian Garber
Students apply Weber's Law (ΔI = k × I, where k = 0.1 for hearing) to calculate the just noticeable difference (JND) in loudness for ten stimulus intensities ranging from 20 to 110 dB. After completing the data table, students plot intensity on the x-axis and JND on the y-axis, identify the linear relationship, and explain in everyday language how the JND grows proportionally with intensity. A real-world application problem asks students to calculate the minimum loudness increase a concert-goer
Preview of Psychology Lab Weber's Law and Smell: How Much Stronger Before You Notice?

Psychology Lab Weber's Law and Smell: How Much Stronger Before You Notice?

Created by
Brian Garber
Students apply Weber's Law (ΔI = k × I, where k = 0.05 for smell) to calculate JNDs for ten odor concentrations ranging from 20 to 500 AU (arbitrary units). After completing the data table and plotting the graph, students describe the linear intensity-JND relationship and explain how the olfactory system's sensitivity relates proportionally to baseline concentration. A real-world problem asks students to calculate the minimum odor increase a fragrance evaluator named Parfumia would detect at 120
Preview of Psychology Lab Weber's Law and Taste: How Much Saltier Before You Notice?

Psychology Lab Weber's Law and Taste: How Much Saltier Before You Notice?

Created by
Brian Garber
Students apply Weber's Law (ΔI = k × I, where k = 0.20 for saltiness) to calculate JNDs for ten salt concentrations ranging from 1 to 40 g/L. The relatively high k value for taste (compared to vision and kinesthesis) gives students data that demonstrates taste's lower sensitivity to proportional changes. After graphing, students describe the linear relationship and explain what the larger k value implies about gustatory discrimination. A real-world problem asks students to calculate the minimum
Preview of Psychology Lab Weber's Law and Temperature: How Hot Before You Feel the Diff.

Psychology Lab Weber's Law and Temperature: How Hot Before You Feel the Diff.

Created by
Brian Garber
Students apply Weber's Law (ΔI = k × I, where k = 0.07 for temperature) to calculate JNDs for ten temperatures ranging from 10 to 55°C. The lab introduces students to thermal sensation as a measurable, Weber's Law-governed sensory modality. After graphing and identifying the linear relationship, students explain how the JND for temperature grows with baseline temperature. A real-world problem asks students to calculate the minimum temperature increase a hot tub enthusiast named Chilldaddy would
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