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Programs & methods
Limits of Trig Functions for Calculus with optional QR
Your Calculus students find the limits of 16 trigonometric functions, some of which use basic identities, and others use the “special Limits", sin x /x, 1 - cos x / x, and variations of them. Use as Task Cards, Station cards, or as a worksheet. A second self-checking set with QR included. This practice will build your students' skills and proficiency on this topic. What's Included?Two sets of 16 Task cards, one with QR and one without. Students do not need to be on the internet to get the an
11th - 12th, Higher Education
Calculus, Math
Also included in:Â Limits and Continuity Calculus Unit 1 Bundle
Parametric Equations - Vector Valued Functions with Calculus
These activities and resources for Calculus and Parametric Functions and Vector valued Functions are designed for AP Calculus BC and College Calculus 2. This topic is included in the Calculus 2 Unit, Polar and Parametric Functions and is also be part of the Unit 9 Parametric Equations, Polar Coordinates, and Vector-Valued in AP Calculus BC. Topics includeSlope of Parametric Equations and Vector Valued FunctionDetermining a Tangent lint to a parametric equationsEnclosed Area of Functions define
11th - 12th, Higher Education
Calculus
Also included in:Â AP Calculus BC or Calculus 2 Supplement Bundle
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:Â AP Calculus AB Semester 1 Bundle (Units 1 -5)
graph logarithm and inverse function : exponential , rational exponents function
Graphing Logarithmic Function, Domain , Asymptotes & end behaviour Rational function inside logarithm + inverse function nested logarithm analysis of the function with detailed explanation for exam preparation It includes clear explanations in simple language to analyze logarithmic graphs: number of branches, increasing or decreasing behavior, inverse functions, and end behavior.
11th
Algebra 2, Calculus, Graphing
CCSS
HSF-IF.A.1
, HSF-IF.C.7d
, HSF-IF.C.7e
 +4
AP CALCULUS AB - 8.1 AVERAGE VALUE OF A FUNCTION ON AN INTERVAL
This Calculus worksheet is intended for students after they have learned the following lessons from the AP Calculus AB Course and Description: 6.6 Applying Properties of Definite Integrals 6.7 The Fundamental Theorem of Calculus and Definite Integrals 6.9 Integrating Using Substitution 8.1 Average Value of a Function on an Interval In this worksheet, I have included various examples where students find the average value of a function on a given interval. The problems include a polynomial functio
9th - 12th, Higher Education
Calculus
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
Representing a Function as Power Series Infinite Series Calculus BC Calculus 2
In this resource on Representing Functions as Power Series from the Calculus Unit: Infinite Series, your students will work through eight pages of guided notes plus practice problems. Included are full typed solutions. The notes include representing functions as Power Series including Geometric SeriesBinomial SeriesDifferentiation and Integration of Power SeriesDeriving Power Series from other power series. Graphical representations illustrating intervals of convergence are also included i
11th - 12th, Higher Education
Calculus, Math
Also included in:Â Infinite Series Bundle Part 2 for AP Calculus BC and Calculus 2
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:Â Calculus Part 3 Notes (Derivative and Antiderivative Methods)
Derivatives of Trigonometric Functions: Interactive Scavenger Hunt for Calculus
Bring energy and rigor to your derivatives unit with this Around-the-Room Circuit Activity focused on Trigonometric Derivatives for AP Calculus AB and BC! This interactive scavenger hunt requires students to differentiate trig functions using the chain rule, product rule, quotient rule, and combinations of these essential skills. With 12 carefully designed problems, students strengthen procedural fluency while deepening conceptual understanding — all in a collaborative, movement-based format.
10th - 12th
Calculus, Math, Math Test Prep
Also included in:Â BUNDLE! Complete Derivative Rules Review for Calculus Success
Implicit Differentiation
Taking the derivative of a function with respect to x, by using implicit differentiation. This document includes at least 7 worked out examples followed by 20 problems to practice with. including at the end of document is the key to the problem set.
11th - 12th, Higher Education
Calculus, Math
CCSS
HSF-IF.B.6
Guided Notes-Lesson 13.2, part 2-Integration-Reverse Process of Differentiation
IB Applications & Interpretations SL: Investigation comparing similar functions with differing constants Calculating c when given a coordinate point ordered pair Practice problems (CW or HW)
10th - 12th
Applied Math, Calculus
CCSS
MP1
, MP2
, MP3
 +5
Also included in:Â IB Applications & Interpretation SL: Units 1-13 Complete Course
AP CALCULUS AB: THE PROCESS OF LOGARITHMIC DIFFERENTIATION
Logarithmic differentiation is the process of differentiating algebraically complicated functions for which the ordinary rules of differentiation do not apply. Outline: 1. The derivatives of logarithmic functions 2. The derivatives of natural logarithmic functions 3. The derivatives of logarithmic function compositions 4. The process of logarithmic differentiation
11th - 12th, Adult Education, Higher Education
Calculus, Math
Also included in:Â BASIC CALCULUS
Guided Notes - Lesson 12.2, part 2 - Equations of Tangents and Normal
IB Applications & Interpretations SL: Finding derivatives of rational functions on a GDC Practice problems (CW or HW)
10th - 12th
Applied Math, Calculus
CCSS
MP1
, MP2
, MP3
 +5
Also included in:Â IB Applications & Interpretation SL: Units 1-13 Complete Course
Graphs of First & Second Derivatives Identify and Match f, f', f''
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
11th - 12th, Higher Education
Calculus, Graphing
Also included in:Â Calculus Applications of Differentiation Unit Bundle
Derivative Basics (Power Rule/Basic Trig) Notes
These notes cover simple and complex power rule and the six basic trig function problems. There is also a look at the continuity and differentiability of piece-wise 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
9th - 12th, Higher Education
Calculus, PreCalculus
Also included in:Â Calculus Part 2 Notes (Derivative, Motion, Slope Fields, Euler's, Antideriv)
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:Â Calculus Part 3 Notes (Derivative and Antiderivative Methods)
Basic Antiderivative/Indefinite Integral (Power Rule and Basic Trig) Assignment
This assignment covers basic antiderivatives/indefinite integrals using the power rule and the six basic trig functions. It also includes a review of motion graphically. There is a note sheet that precedes this assignment found in the Texmathlete TPT store. Videos for the notes can be found on the FREE Calculus Slides and Videos for You and Your Students slides in the Texmathlete TPT store.
9th - 12th, Higher Education
Calculus, PreCalculus
Trigonometric Identity Formulas
Compact list of Trigonometric Identity formulas, including Reciprocal and Quotient Identities, Pythagorean Identities, Sum and Difference Identities, Co-Function Identities, Odd Even Identities, Double Angle Identities, and Half Angle Identities.
9th - 12th, Adult Education, Higher Education
Calculus, PreCalculus
Guided Notes-Lesson 13.2, part 1-Integration-Reverse Process of Differentiation
IB Applications & Interpretations SL: Introduce integration: the reverse process of differentiation Investigation calculating area utilizing integration for various functions Introduce antiderivatives Find antiderivatives of various functions Practice problems (CW or HW)
10th - 12th
Applied Math, Calculus
CCSS
MP1
, MP2
, MP3
 +5
Also included in:Â IB Applications & Interpretation SL: Units 1-13 Complete Course
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
Also included in:Â Calculus Part 2 Notes (Derivative, Motion, Slope Fields, Euler's, Antideriv)
Guided Notes-Lesson 13.2, part 4-Integration-Reverse Process of Differentiation
IB Applications & Interpretations SL: Find equations of a curve given the gradient/derivative and a point Creating a cost function Practice problems (CW or HW)
10th - 12th
Applied Math, Calculus
CCSS
MP1
, MP2
, MP3
 +5
Also included in:Â IB Applications & Interpretation SL: Units 1-13 Complete Course
Continuity Worksheet for AP Calculus AB BC Limits Unit
Introducing the concept of Continuity for AP Calculus during the Limits Unit. The worksheet builds up the concepts of how and where a function could be discontinuous. Does the function value exist? Does the limit exist? Are those values the same?
9th - 12th
Calculus, Graphing, PreCalculus
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