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Preview of First Derivative Test (Unit 5 AP Calculus)

First Derivative Test (Unit 5 AP Calculus)

⭐⭐ This  AP Calculus lesson provides you with a  customizable and  fully-editable resource of guided student notes, practice set and daily lesson quiz that cover the topics for  First Derivative Test-Increasing and Decreasing Functions.⭐⭐ ✅ Lesson 5.3 First Derivative Test is a two-day lesson with an emphasis on Mathematical Practice 2 Connecting Representations. q Skill 2.E: Describe the relationships among different representations of functions and their derivatives. ✅  What is included in t
Preview of Analytical Applications of Differentiation (AP Calculus AB - Unit 4)

Analytical Applications of Differentiation (AP Calculus AB - Unit 4)

Created by
Math Lion
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
Preview of Calculus Notes 3.3 - Increasing & Decreasing Functions

Calculus Notes 3.3 - Increasing & Decreasing Functions

Scaffolded notes, as well as corresponding warm-ups. Please let me know if you have any questions! Enjoy!
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 IB Math Analysis & Approaches SL Notes  - Unit 5 Calculus

IB Math Analysis & Approaches SL Notes - Unit 5 Calculus

Created by
Jack McRobert
These are handwritten notes for the fifth topic of the new Analysis & Approaches SL (AASL / A & A SL) course, for first exams in 2021. The HL course will contain this content, with some additional calculus subtopics. There will also be significant overlap with the A & I Topic 5. I wrote and sold notes for the old IB courses, which have been fairly successful, so I am in the process of writing notes for the new courses, from scratch. If you want a preview, try the first topic of course notes f
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 IB Math Applications & Interpretation SL Notes - Unit 5 Calculus

IB Math Applications & Interpretation SL Notes - Unit 5 Calculus

Created by
Jack McRobert
This resource has handwritten notes for the fifth topic of the new Applications and Interpretations SL course, for first exams in 2021. There will be significant overlap with the A & A Topic 5, and this is a subset of A & I HL Topic 5. I wrote and sold notes for the current IB courses, which have been fairly successful, so I am in the process of writing notes for the new courses, from scratch. My hope is that you will have a look at this free download, and if it seems like it would be helpful, p
Preview of Expansive Sequences and Series Lesson

Expansive Sequences and Series Lesson

Created by
Kendon Black
This is a thorough lesson on sequences and series. Although it does not include all of the convergence tests. (Those are in the next document.) The document focuses on definitions of various terms, types of series, and there properties. It includes 18 example problems. Topics tackled include sequence notation, series notation (summation notation), writing the terms of a sequence given the definition and vice versa, recursively-defined sequences, bounds, increasing/decreasing/non-increasing/non-d
Preview of Interpreting the Derivative's Graph: A Calculus Discovery Activity

Interpreting the Derivative's Graph: A Calculus Discovery Activity

Created by
All About STEM
Using what they already know about derivatives and curve sketching vocabulary, students will be guided through a team discovery of how to interpret the graph of a derivative! All they need is one graphing calculator per group and a few colored pencils or highlighters! Students will use technology to aid in the sketching of three functions and will be asked to identify the following for each function: Intervals where positive/negativeIntervals of increasing/decreasingIntervals of concave up/con
Preview of Calculus Notes: The First Derivative and Extrema

Calculus Notes: The First Derivative and Extrema

A set of Calculus notes with an intro to the first derivative, including intervals of increasing/decreasing, relative extrema, and absolute extrema, as well as appropriate practice problems.
Preview of CURVE SKETCHING SUMMARY SHEETS

CURVE SKETCHING SUMMARY SHEETS

This is a four page document summarizing sketching polynomial,radical and rational functions. They include domain and range, intercepts, symmetry, intervals of increase or decrease, local maxima or minima, intervals of concavity, points of inflection, vertical, horizontal, slant and parabolic asymptotes. All of my math summary sheets (15) can be found in one PDF file.
Preview of Calculus Notes Bundle: Applications and Techniques of Differentiation Unit

Calculus Notes Bundle: Applications and Techniques of Differentiation Unit

A bundle of calculus notes containing notes on L'Hospital's Rule, implicit differentiation, the first derivative (intervals of increasing/decreasing, critical points) and extrema (relative and absolute), the second derivative (inflection points and concavity) and relating derivatives (f, f', and f"), derivatives in context and applications of derivatives (with rectilinear motion), local linearization, and optimization, all with appropriate practice problems.
Preview of Properties of Functions and Function Library

Properties of Functions and Function Library

This is an intense 28 page packet that covers topics and examples for the basics of functions domain and range continuity intervals of increase and decrease extrema symmetry asymptotes x and y intercepts end behavior and then the following function families linear quadratic cubic square root cube root absolute value reciprocal exponential logs sine cosine greatest integer all functions have a place for a sketch, table of values, function behavior (inc/dec/constant), end behavior, symmetry, domai
Preview of Connecting Functions and Derivatives Reference Sheet

Connecting Functions and Derivatives Reference Sheet

This Anchor Chart includes reminders for calculus students on how to find the following when learning how functions, derivatives and second derivatives are connected: •Increasing/Decreasing Intervals •Relative Extrema •Concavity Intervals •Points of Inflection
Preview of Calculus_First Derivative Test Resource and Practice

Calculus_First Derivative Test Resource and Practice

Created by
MathxMath
This 9 pages of materials here contain a single page of resources on using the first derivative to determine intervals of increasing and decreasing and locating local of a function. The next 4 pages contain various activities to help students explore those concepts. These pages are followed by the answer keys for the activities.
Preview of Laws of Logarithms & Equations Worksheet

Laws of Logarithms & Equations Worksheet

Help keep your students engaged in your math class with this great resource that can be used as a worksheet or a quiz! This is a great resource for math teachers who are teaching lessons on exponential & logarithmic functions. It assesses the students on their ability to evaluate logarithmic expressions, use laws of logarithms to expand and combine expressions, and model real life scenarios using logarithmic and exponential equations. This assessment includes a variety of different problems that
Preview of Combining Functions & Inverse Functions Worksheet

Combining Functions & Inverse Functions Worksheet

Help keep your students engaged in your math class with this great resource that can be used as a worksheet or a quiz! This is a great resource for math teachers who are teaching lessons on function combinations and inverse functions. It assesses the students on their ability to combine functions and find the domain, find a composition of functions and the domain, recognize a composition function, and find the inverse of a function. This assessment includes a variety of different problems that s
Preview of Systems of Equations Worksheet

Systems of Equations Worksheet

Help keep your students engaged in your math class with this great resource that can be used as a worksheet or a quiz! This is a great resource for math teachers who are teaching lessons on systems of equations. It assesses the students on their ability to solve equations in two variables and in several variables. This assessment includes a variety of different problems that start out simple and increase in level of difficulty as the students work their way through the worksheet. A full, detaile
Preview of Exponential & Logarithmic Functions Worksheet

Exponential & Logarithmic Functions Worksheet

Help keep your students engaged in your math class with this great resource that can be used as a worksheet or a quiz! This is a great resource for math teachers who are teaching lessons on exponential & logarithmic functions. It assesses the students on their ability to evaluate logarithmic functions & sketch the graphs of exponential & logarithmic functions. This assessment includes a variety of different problems that start out simple and increase in level of difficulty as the students work t
Preview of Calculus Derivative Tests, Related Rates, IVT, MVT, EVT for Graphic Organizer

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
Preview of Calculus Applications of Derivatives

Calculus Applications of Derivatives

Created by
Lisa Jones
Through this activity students will determine critical numbers of functions, locate relative extrema and points of inflection, and utilize the first and second derivatives to locate intervals on which the function is increasing or decreasing and to describe its concavity. On the last problem, students will utilize all of these techniques, as well as their prior knowledge of finding the roots of a polynomial to graph a cubic function.
Preview of Thanksgiving Calculus First & Second Derivative Tests Pixel Art Mystery Pictures

Thanksgiving Calculus First & Second Derivative Tests Pixel Art Mystery Pictures

Created by
Qwizy
Celebrate Thanksgiving with engaging calculus activities focused on the first and second derivative tests. Students analyze functions, including quadratics, cubics, quartics, rationals, and those with rational exponents, to determine critical points, intervals of increasing/decreasing values, inflection points, and concavity intervals. Each correct analysis unveils part of a festive Thanksgiving pixel art scene, making calculus exploration both educational and enjoyable. Product Highlights⭐️ 25
Preview of Graphing Trigonometry Parent Functions - Graphic Organizers

Graphing Trigonometry Parent Functions - Graphic Organizers

Trigonometry Parent Functions - Graphic OrganizersSIX graphic organizers for the trigonometric functions: • Sine • Cosine • Tangent • Secant • Cosecant • Cotangent The graphic organizers include domain, range, continuity, symmetry, local maxima and minima, periods, asymptotes, intervals of increase and decrease, x and y intercepts, a table of important points, and a graph. Students can fill the graphic organizers in or a typed answer key version is included as well. These are great to give to st
Preview of Halloween Calculus First & Second Derivative Test Pixel Art Mystery Pictures

Halloween Calculus First & Second Derivative Test Pixel Art Mystery Pictures

Created by
Qwizy
Celebrate Halloween with Calculus First & Second Derivative Tests Pixel Art! Students analyze functions, including quadratics, cubics, quartics, rationals, and those with rational exponents, using first and second derivative tests. They find critical points, intervals of increase/decrease, inflection points, and concavity, revealing a spooky mystery picture as they work through this engaging activity. Perfect for deepening calculus understanding with a holiday twist! Product Highlights⭐️ 25 D
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