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Programs & methods
Representing Functions as Power Series (BC Calculus - Unit 10)
⭐⭐ This AP Calculus BC 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 Representing Functions as Power Series.⭐⭐ ✅ Learning Objective:★ Differentiate and integrate a power series ★ Find a geometric power series that represents a function ★ Construct a power series using series operations ✅ College Board® Topics:⭐ Topic 10.15: Representing Functions as Power Series Lesson 10.10 Represen
11th - 12th, Higher Education
Calculus
Also included in: AP Calculus BC Mega Bundle 2nd Semester | Flamingo Math
Differentiation: Composite, Implicit, Inverse Functions (AP Calculus AB- Unit 3)
Differentiation: Composite, Implicit, and Inverse Functions Calculus Lessons BundleThis 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 Differentiation: Composite, Implicit, and Inverse Functions Calculus (Unit 3). This unit contains 5 lessons. Lesson 3.1: The Chain RuleLesson 3.2: Implicit DifferentiationLesson 3.3: Differentiating Inverse FunctionsLesson 3.4: Differentiat
10th - 12th
Calculus, Math
Also included in: AP Calculus AB Semester 1 Bundle (Units 1 -5)
AP Calculus AB Guided Notes - Inverse Trigonometric Functions: Integration
Aligned with Calculus for AP (2ed.) by Ron Larson and Paul Battaglia, these guided notes go through Chapter 4.7 - Inverse Trigonometric Functions: Integration, and includes all theorems, definitions, and problems.
11th - 12th, Higher Education
Calculus
Also included in: AP Calculus AB Guided Notes - Chapter 4 Integration
AP Calculus AB Guided Notes - The Natural Logarithmic Function: Integration
Aligned with Calculus for AP (2ed.) by Ron Larson and Paul Battaglia, these guided notes go through Chapter 4.7 - The Natural Logarithmic Function: Integration, and includes all theorems, definitions, and problems.
11th - 12th, Higher Education
Calculus
Also included in: AP Calculus AB Guided Notes - Chapter 4 Integration
AP Calculus AB Guided Notes - Derivatives of Inverse Functions
Aligned with Calculus for AP (2ed.) by Ron Larson and Paul Battaglia, these guided notes go through Chapter 2.6 - Derivatives of Inverse Functions and includes all theorems, definitions, and problems. Suggested homework problems can be found at the bottom of the last page of the notes.
11th - 12th, Higher Education
Calculus
Also included in: AP Calculus AB Guided Notes - Chapter 2 Differentiation
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.
11th - 12th, Higher Education
Calculus
Also included in: AP Calculus AB Guided Notes - Chapter 3 Applications of Differentiation
Calculus Continuity of Piecewise Functions and Functions with Holes
In this Calculus Continuity of Piecewise Functions activity your students determine the values of x which make a discontinuous piecewise function or functions with holes continuous everywhere as they explore points of discontinuity. This activity is designed to build your students' skills and proficiency with analyzing continuous functions, What's included? 16 Task or Station Cards which explore the topic of finding a value which makes a discontinuous function continuous. My students ha
11th - 12th
Calculus, Math
Also included in: Limits and Continuity Calculus Unit 1 Bundle
Calculus Part 1 Notes (From Attributes of Functions to Finding Limits)
This includes five note sheets (formatted so they work as part of an interactive notebook), one graphic organizer, and the slides that have all of the videos for all of these - and the rest of the year of calculus.
9th - 12th, Higher Education
Calculus, PreCalculus
1.2 - Function Notation f(x) (MCR3U Grade 11 Functions / Pre-Calculus)
Ontario Curriculum Expectations:A1.2 - represent linear and quadratic functions using function notation, given their equations, tables of values, or graphs, and substitute into and evaluate functions.
11th
Algebra, Calculus, PreCalculus
Derivatives of Exponential Functions Notes and Flash Cards
These notes cover finding derivatives of expressions involving exponential functions (using the chain rule). It also includes a set of flashcards for just that and another set that has an exponential expression on one side and both the derivative and integral on the other for students to quiz each other (the one answering just sees the function). This note sheet formatted to be a 1/2 sheet of paper. It is intended to hand out to the students so that they do not have to write everything down - n
9th - 12th, Higher Education
Calculus
Also included in: Calculus Part 3 Notes (Derivative and Antiderivative Methods)
Derivatives Involving Logarithmic Functions Notes
These notes cover finding derivatives of logarithmic functions - using the chain rule. This note sheet formatted to be a 1/2 sheet of paper. It is intended to hand out to the students so that they do not have to write everything down - not for them to cram everything on the note page. They can use it as part of their interactive notebook OR they can staple/tape/glue it to wherever they are taking notes. My students kept it out during the lecture and labeled their notes to reference it and it wa
9th - 12th, Higher Education
Calculus
Also included in: Calculus Part 3 Notes (Derivative and Antiderivative Methods)
Integrals Involving Exponential and Logarithmic Functions Notes and Flashcards
These notes cover finding antiderivatives/indefinite integrals of functions that result in exponential or logarithmic expressions (using u-Substitution). It also includes a set of flashcards that has an exponential expression on one side and both the derivative and integral on the other for students to quiz each other (the one answering just sees the function). This note sheet formatted to be a 1/2 sheet of paper. It is intended to hand out to the students so that they do not have to write ever
9th - 12th, Higher Education
Calculus
Also included in: Calculus Part 3 Notes (Derivative and Antiderivative Methods)
PARTIAL FRACTION DECOMPOSITION
This worksheet is intended for students to practice partial fraction decomposition, given a rational function. When I teach partial fraction decomposition, some students pick it up right away, while other students need a little more practice. So I created this worksheet, scaffolding the required skills. In this worksheet, students first identify the correct set up for partial fraction decomposition, then they complete the process in the following problems. The problems get progressively more cha
9th - 12th
Calculus, PreCalculus
AP CALCULUS AB - 6.10 INTEGRATING USING LONG DIV. & COMPLETING THE SQUARE
This Calculus worksheet is intended for students after they have learned the 6.10 Integrating Functions Using Long Division and Completing the Square lesson from the AP Calculus AB Course and Description. In this worksheet, I have included various examples where students find integrals by first using long division and completing the square in order to rewrite the integrand. The problems then result in integrals involving natural log and inverse tangent. I structured the problems in the two part
9th - 12th, Higher Education
Calculus
Integrating Using u-Substitution Notes
These notes cover finding integrals using u-Substitution. This does not include exponential or logarithmic functions - they are addressed in the next lesson. This note sheet formatted to be a 1/2 sheet of paper. It is intended to hand out to the students so that they do not have to write everything down - not for them to cram everything on the note page. They can use it as part of their interactive notebook OR they can staple/tape/glue it to wherever they are taking notes. My students kept it o
9th - 12th, Higher Education
Calculus
Also included in: Calculus Part 3 Notes (Derivative and Antiderivative Methods)
Introduction to Derivatives Guided Notes
Use these guided notes to introduce students to derivatives for the first time! Students first graph the function f(x) = x2 and then attempt to find the rate of change at a given point. Students learn that they must find the slope or gradient of the tangent line at a point. Using the limit definition of a derivative, students are then led to find the derivative of various polynomial functions. Created for IB Math SL, but great for introductory Calculus as well.
11th - 12th
Calculus, Math
Basic Antiderivatives/Indefinite Integrals (Power Rule and Basic Trig) Notes
These notes cover introducing and finding antiderivatives of expressions using the power rule - as well as the six basic trig functions. This note sheet formatted to be a 1/2 sheet of paper. It is intended to hand out to the students so that they do not have to write everything down - not for them to cram everything on the note page. They can use it as part of their interactive notebook OR they can staple/tape/glue it to wherever they are taking notes. My students kept it out during the lecture
9th - 12th, Higher Education
Calculus, PreCalculus
Chain Rule Activity Bundle | Guided Notes, Practice, Exit Tickets & Games
Help your calculus students understand the Chain Rule by thinking in layers! This resource uses a memorable inside-out “pretzel” approach to help students identify the inside function, track each layer of a composite function, and build the derivative one piece at a time. This is especially helpful for students who struggle with composition of functions, forget the inside derivative, or need a stronger foundation before future topics like u-substitution. What’s Included Guided notes Scaffol
11th - 12th, Higher Education
Calculus
Calculus Part 3 Notes (Derivative and Antiderivative Methods)
These notes cover introductions to the following topics: Chain Rule (including a bookmark of all derivative and integral rules and 7 formula quizzes)Product and Quotient Rulesu-Substitution for IntegralsDerivatives and integrals of exponential functions (including 2 sets of flashcards)Derivatives and Integrals involving logarithmic functionsThese note sheets are formatted to be on 1/2 sheets of paper. They are intended to be handed out to the students so that they do not have to write everything
9th - 12th, Higher Education
Calculus
Taylor Polynomials and Approximations (BC Calculus - Unit 10)
⭐⭐ This AP Calculus BC 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 Taylor Polynomials & Approximations.⭐⭐ ✅ Learning Objective:★ Find polynomial approximations of functions and compare them with the elementary functions ★ Find Taylor and Maclaurin polynomial approximations of elementary functions ★ Use the remainder of a Taylor polynomial ✅ College Board® Topics:⭐ Topic 10.11: Find
11th - 12th, Higher Education
Calculus
Also included in: AP Calculus BC Mega Bundle 2nd Semester | Flamingo Math
Limits from Tables plus Guided Notes for Calculus
This Evaluating Limits from Tables with Guided Notes resource is designed to help your Calculus students understand and master the concepts in this section and promote fluency. What's Included?11 Task cards which include polynomial, rational, irrational, and trig functions. Students use a table to determine if a limit exists and to evaluate it, if it exists. There are also problems which students are given a table and asked to estimate the limit. Blank Task card for you to personalizeGuided
11th - 12th, Higher Education
Calculus, PreCalculus
Also included in: Limits and Continuity Calculus Unit 1 Bundle
Lagrange Error Bound and Accuracy (BC Calculus - Unit 10)
⭐⭐ This AP Calculus BC 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 Lagrange Error Bound and Accuracy.⭐⭐ ✅ Learning Objective:★ Use Taylor polynomials to estimate values of functions ★ Use Taylor’s Inequality to measure the accuracy of approximations. ★ Use alternating series error bound to bound the error of a Taylor approximation of a function. ✅ College Board® Topics:⭐ Topic 10.
11th - 12th, Higher Education
Calculus
Also included in: AP Calculus BC Mega Bundle 2nd Semester | Flamingo Math
AP CALCULUS AB - 6.9 INTEGRATING USING SUBSTITUTION WORKSHEET
This Calculus worksheet is intended for students after they have learned the 6.9 Integrating Using Substitution lesson from the AP Calculus AB Course and Description. In this worksheet, I have included various examples where students find integrals using substitution. The problems also require the derivatives and integrals of radical functions, cosx, sinx, e^x, and lnx. I structured the problems in the worksheet so that they start off straight forward, and progressively get a little more intrica
9th - 12th, Higher Education
Calculus
Taylor and Maclaurin Series (BC Calculus - Unit 10)
⭐⭐ This AP Calculus BC 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 Taylor and Maclaurin Series.⭐⭐ ✅ Learning Objective:★ Differentiate and integrate a Taylor or Maclaurin series. ★ Find a geometric power series that represents a function. ★ Construct a power series using series operations. ✅ College Board® Topics:⭐ Topic 10.14: Finding Taylor or Maclaurin Series for a Function Less
11th - 12th, Higher Education
Calculus
Also included in: AP Calculus BC Mega Bundle 2nd Semester | Flamingo Math
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