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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 Increasing, Decreasing and First Derivative Test | Calculus Notes & Video

Increasing, Decreasing and First Derivative Test | Calculus Notes & Video

Increasing, decreasing and First Derivative Test lesson for Calculus with guided notes, homework, and video lesson. Teach intervals of increase and decrease, derivative sign charts, and relative extrema.This is one lesson from my Calculus Unit 3 – Applications of Derivatives curriculum. It includes guided notes, homework practice, a full video lesson, and detailed step-by-step answer keys to support student understanding. This lesson is designed for a guided, non-AP Calculus course and works wel
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 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 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 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 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 AP Calculus AB: Derivative Applications in the Math World Notes

AP Calculus AB: Derivative Applications in the Math World Notes

Created by
AP Calculus AB
Students will be able to justify where a function is increasing and decreasing, concave up and concave down. They will be able to justify a function’s extrema and inflection points. They will be able to apply the Extreme Value Theorem, the First Derivative Test, the Concavity Test, the Second Derivative Test, and the Mean Value Theorem. Students will be able to accurately sketch a curve given its derivative graph and sketch a curve’s derivative given its graph.
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 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 AP Calculus AB: Curve Sketching and Particle Motion Notes

AP Calculus AB: Curve Sketching and Particle Motion Notes

Created by
AP Calculus AB
Students will be able to accurately sketch a curve given its derivative as well as connect the amount of increase and decrease to an integral. Students will be able to apply integrals to particle motion problems.
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 AP Calculus AB Derivative Applications Unit

AP Calculus AB Derivative Applications Unit

This bundle includes the whole unit on Derivative Applications as seen on the AP Calculus AB exam. All files come in word and PDF. Students will be able to justify where a function is increasing and decreasing, concave up and concave down. They will be able to justify a function’s extrema and inflection points. They will be able to apply the Extreme Value Theorem, the First Derivative Test, the Concavity Test, the Second Derivative Test, and the Mean Value Theorem. Students will be able
Preview of Continuity and End Behavior AP Calculus Graphic Organizer

Continuity and End Behavior AP Calculus Graphic Organizer

Perfect for an AP® Calculus class working on limits and discussing how functions behave in certain ways including the test for continuity and end behavior. Comes with scaffolded notes with sample copy as well as answer key and an EDITABLE version. Students will learn the different rules for discontinuity, end behavior and increasing/decreasing through this sheet of notes. This is also great for Honors Precalculus towards the end of the year. Includes an EDITABLE PowerPoint file to make th
Preview of SIX Curve Sketching Worksheets + Key + Summary of Curve Sketching - Calculus 1

SIX Curve Sketching Worksheets + Key + Summary of Curve Sketching - Calculus 1

This product (pdf) can be used as an in-class activity / homework / group work for curve sketching in differential calculus. The first 2 pages does a review of curve sketching. There are 6 curve sketching questions, followed by their key. For each question, the student must find the following: - domain - x,y intercepts - horizontal asymptotes (using limits) - vertical asymptotes (using limits) - increasing/decreasing (using first derivative) - local max/min (first derivative test) - concavity
Preview of AP Calculus AB Integral Applications Unit

AP Calculus AB Integral Applications Unit

This bundle includes the whole unit on integral applications as seen on the AP Calculus AB exam. All files come in word and PDF. Students will be able to apply integrals to a variety of math and real world application problems; including curve sketching, particle motion, rate problems and volumes of solids of revolution. Students will be able to accurately sketch a curve given its derivative as well as connect the amount of increase and decrease to an integral. Students will be able to app
Preview of Graph Analysis and Interpretation (AP Calculus)

Graph Analysis and Interpretation (AP Calculus)

Graphical Analysis & Interpretations- A Graph Trifecta Activity.As you progress through the year in AP Calculus, it is helpful to revisit concepts and big ideas to help students prepare for the rigor of the AP Exam. This activity is designed to using the same graph that will be used in three different settings students could possibly see on the exam. This resource uses only one graph to create three question sets in an effort to create planned sequencing, scaffolding & repetition for AP Calcul
Preview of Calculus AB Unit 7 Complete Bundle: Notes, MCQ & FRQ Practice, Quiz, and Test

Calculus AB Unit 7 Complete Bundle: Notes, MCQ & FRQ Practice, Quiz, and Test

This complete bundle includes everything you need for Calculus AB Unit 7: Differential Equations. It includes guided notes with practice, MCQ and FRQ practice sets, an MCQ unit quiz, an MCQ/FRQ unit test. Assessments include two parallel versions (A and B), and resources include answer keys, selected worked solutions, and FRQ scoring rubrics. IncludedGuided Notes with PracticeWorked and unworked examplesMCQ Practice40 multiple-choice questionsAnswer key and selected worked solutionsFRQ Practice4
Preview of Calculus AB Unit 6 Complete Bundle: Notes, MCQ & FRQ Practice, Quiz, and Test

Calculus AB Unit 6 Complete Bundle: Notes, MCQ & FRQ Practice, Quiz, and Test

This complete bundle includes everything you need for Calculus AB Unit 6: Integration and Accumulation of Change. It includes guided notes with practice, MCQ and FRQ practice sets, an MCQ quiz, and an MCQ/FRQ unit test. Assessments include two parallel versions (A and B), and resources include answer keys, detailed solutions, and FRQ scoring rubrics. IncludedGuided Notes with Practice (worked and unworked examples)MCQ Practice: 64 multiple-choice questions (answer key with detailed solutions)FRQ
Preview of Transformations of Functions Mini Lesson, Practice, and Digital Quiz | Algebra

Transformations of Functions Mini Lesson, Practice, and Digital Quiz | Algebra

Help your students confidently master transformations of functions with this engaging, no-prep resource! This lesson includes a clear mini lesson, scaffolded guided practice, and a digital quiz to help students identify and apply function transformations with confidence. Perfect for Algebra 2, College Algebra, or advanced Algebra 1 students learning how shifts, reflections, stretches, and compressions affect parent functions. Students will practice: Horizontal and vertical shiftsReflectio
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