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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 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 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 Applications & Interpretation HL Notes - Unit 5 Calculus

IB Math Applications & Interpretation HL Notes - Unit 5 Calculus

Created by
Jack McRobert
This resource has a pdf of handwritten notes for the fifth topic of the recently changed Applications and Interpretations HL (AIHL) course. This has the 8 subtopics that are included in A & I SL, plus an additional 10 subtopics for HL. There will also be significant overlap with the A & A Calculus. The other three courses have been available for a while, and I have only just been able to get A & I HL written, in time for the 2023 May exams. My hope is that if you like this resource, please ‘foll
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 IB Math Analysis & Approaches HL Notes  - Unit 5 Calculus

IB Math Analysis & Approaches HL Notes - Unit 5 Calculus

Created by
Jack McRobert
These are handwritten notes for the fifth topic of the new Analysis & Approaches HL (AAHL / A & A HL) course, for first exams in 2021 - calculus. This has the 11 subtopics that are included in SL, plus an additional 8 subtopics for HL. 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 topi
Preview of IB Math Analysis SL Test - Limits and Power Rule with Answer Key

IB Math Analysis SL Test - Limits and Power Rule with Answer Key

This 5-page assessment contains 5 IB Math Analysis Paper 1 style questions, most of which contains multiple parts. Students are asked to: find a limit algebraically, including the manipulation of rational functionsfind the derivative using the limit processfind the equation of a line tangent to the curve at a given pointfind the gradient of the normal line to a given curve at a given x-valueuse a graph to determine limits at given x-valuesuse the first derivative test to determine intervals for
Preview of IB Math Analysis SL Test - Limits and Power Rule

IB Math Analysis SL Test - Limits and Power Rule

This 5-page assessment contains 5 IB Math Analysis Paper 1 style questions, most of which contains multiple parts. Students are asked to: find a limit algebraically, including the manipulation of rational functionsfind the derivative using the limit processfind the equation of a line tangent to the curve at a given pointfind the gradient of the normal line to a given curve at a given x-valueuse a graph to determine limits at given x-valuesuse the first derivative test to determine intervals for
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 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 AP Calculus (AB) Essential Study Card (all on 1 sheet of ledger paper)

AP Calculus (AB) Essential Study Card (all on 1 sheet of ledger paper)

Created by
Ryan Caimano
Useful formulas, theorems, and applications -- all organized on one single sheet of ledger paper. This study-card contains the following items that students must know before the AP Exam: < front side of paper > 1) techniques for computing limits (list) 2) End behavior and asymptotes of rational functions 3) Continuity checklist and types of discontinuities 4) Definition and equation for average rate of change, instantaneous rate of change 5) useful Derivative Formulas 6) Applications of 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 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 Inc/Dec Functions

Inc/Dec Functions

Created by
MSquared
This joke handout has 8 problems where students use a first derivative to find where the function is increasing and decreasing.
Preview of Analytical Derivatives (AP Calc Unit 5) Bilingual Vocabulary (English/Spanish)

Analytical Derivatives (AP Calc Unit 5) Bilingual Vocabulary (English/Spanish)

Created by
L G
This product is a PDF of analytical derivatives vocabulary words for AP Calculus students with pictures of each and definitions/key points in both English and Spanish. These definitions are worded for a high school student.  ✨ Each vocabulary word is a full page, so they can be printed whole-page for a bulletin board, or printed multiple to a page as a handout for students. They could also be used as flash cards! ✨ Very useful for ELL students to help build vocabulary skills! ✨ Very useful for
Preview of Calculus PowerPoint Pack

Calculus PowerPoint Pack

A complete set of PowerPoint files aimed covering the following topics: Introduction to differentiationApplications of differentiation including maxima and minima, increasing and decreasing functions.Further differentaion including product, quotient and chain rulesDifferentiation of parametric equationsIntroduction to integrationApplications of integration including area under a curve and trapezium ruleFurther integration including integration by substitution, integration by parts, volumes of re
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 Derivatives Graph Analysis Using Tables: Notes, Ex, Handout & Assign (Editable)

Derivatives Graph Analysis Using Tables: Notes, Ex, Handout & Assign (Editable)

This resource includes notes, examples, handout and assignment analyzing graphs of functions using tables. Tables include: · Relative Extrema · Inflection Points · Intervals of Increase and Decrease · Intervals of Concave Upward and Concave Downward · Vertical Asymptotes Students will complete tables with: · Information about f(x) · Information about f'(x) · Information about f''(x) · Description of graph
Preview of Derivatives -Graph Analysis Using Tables - Notes, Examples, Handout & Assignment

Derivatives -Graph Analysis Using Tables - Notes, Examples, Handout & Assignment

This resource includes notes, examples, handout and assignment analyzing graphs of functions using tables. Tables include: · Relative Extrema · Inflection Points · Intervals of Increase and Decrease · Intervals of Concave Upward and Concave Downward · Vertical Asymptotes Students will complete tables with: · Information about f(x) · Information about f'(x) · Information about f''(x) · Description of graph
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
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