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Preview of Representing Functions as Power Series (BC Calculus - Unit 10)

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
Preview of Differentiation: Composite, Implicit, Inverse Functions (AP Calculus AB- Unit 3)

Differentiation: Composite, Implicit, Inverse Functions (AP Calculus AB- Unit 3)

Created by
Math Lion
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
Preview of AP CALCULUS BC - 10.15 REPRESENTING FUNCTIONS AS POWER SERIES

AP CALCULUS BC - 10.15 REPRESENTING FUNCTIONS AS POWER SERIES

Created by
MATH WITH YOSH
This Calculus worksheet is intended for students after they have learned the 10.15 Representing Functions as Power Series (using 10.14 to combine/compose known series, as well as derivatives/integrals to find new power series) lesson from the AP Calculus BC Course and Description. In this worksheet, I have included various types of functions to series problems. I structured the problems in the worksheet so that they start off straight forward, and progressively get harder. It is perfect for stud
Preview of Power Functions | AP Precalc Practice | Answer Key

Power Functions | AP Precalc Practice | Answer Key

Empower your precalculus students with this comprehensive worksheet on power functions! Designed for both AP and regular courses, this resource covers identifying power functions, analyzing end behavior, domain and range, graphing, and real-world applications. Clear instructions and scaffolded practice ensure students build a strong foundation for advanced math topics. Perfect for classwork, homework, or review!
Preview of Solving for Theta | Trigonometry Functions | Answer Key

Solving for Theta | Trigonometry Functions | Answer Key

Help students conquer solving for θ θ with this engaging and comprehensive trigonometric equations worksheet! Designed for precalculus and trigonometry classes, this resource covers a variety of equation types involving sine, cosine, and tangent—linear equations, multiple angles, and equations transformed via identities. Students will master finding solutions within specified intervals, applying periodicity for general solutions, and interpreting solutions graphically. Perfect for classroom prac
Preview of AP CALCULUS AB - 8.1 AVERAGE VALUE OF A FUNCTION ON AN INTERVAL

AP CALCULUS AB - 8.1 AVERAGE VALUE OF A FUNCTION ON AN INTERVAL

Created by
MATH WITH YOSH
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
Preview of Calculus Part 1 Assignments (From Attributes of Functions to Finding Limits)

Calculus Part 1 Assignments (From Attributes of Functions to Finding Limits)

This includes seven assignments that cover attributes of functions, limits, asymptotes, and continuity. The notes for these assignments (separately or bundled) and the FREE Calculus Slides and Videos for You and Your Students slides that contain all the matching how-to videos are also in the Texmathlete store.
Preview of The Fundamental Theorem of Calculus and Accumulation Functions

The Fundamental Theorem of Calculus and Accumulation Functions

The Fundamental Theorem of Calculus and Accumulation Functions using Graphs includes 12 practice problems. The first four questions ask students to evaluate accumulation functions given a graph. These questions will also give students practice on how to find a definite integral from a graph using geometric shapes. The next four questions require students to apply the Fundamental Theorem of Calculus to an accumulation function then evaluate using a graph. The last four questions will have student
Preview of Calculus Worksheet - Derivatives of Trig Functions (Matching)

Calculus Worksheet - Derivatives of Trig Functions (Matching)

Need a worksheet to help your Calculus or AP Calculus students practice finding the derivatives of trigonometric functions? This matching worksheet will give students practice finding the first and second derivatives and using the first derivative to find the slope. Trig functions use only the basic derivative rules (product rule, quotient rule and chain rule) so it is wonderful for students who may or may not have learned the derivatives of exponentials, logarithms, etc. An answer key is inc
Preview of Integrals Involving Exponential and Logarithmic Functions Assignment

Integrals Involving Exponential and Logarithmic Functions Assignment

This assignment covers finding indefinite integrals involving exponential and logarithmic functions - using u-Substitution. 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.
Preview of Derivatives Involving Logarithmic Functions Assignment

Derivatives Involving Logarithmic Functions Assignment

This assignment covers finding derivatives of logarithmic functions (using the chain rule). 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.
Preview of Derivatives of Exponential Functions Assignment

Derivatives of Exponential Functions Assignment

This assignment covers finding derivatives of exponential functions (and a review of motion analytically) 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.
Preview of Attributes of Functions Assignment

Attributes of Functions Assignment

This assignment follows the Attributes of Functions Graphic Organizer found in the Texmathlete TPT store. Videos for the graphic organizer can be found on the FREE Calculus Slides and Videos for You and Your Students slides in the same store.
Preview of Stationary points of a function

Stationary points of a function

In this PDF students can find a set of 16 exercises in which a function is given and they are asked to find their stationary points and further classify them as a local minimum, a local maximum or neither. All exercises can be solved by hand
Preview of Implicit Differentiation

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.
Preview of AP Calculus AB Topic 1.13: Removing Discontinuities (PDF + LaTeX)

AP Calculus AB Topic 1.13: Removing Discontinuities (PDF + LaTeX)

Challenge your students to "fix" the functions they've been evaluating. Get perfectly formatted, AP-aligned practice that you can edit in seconds.This premium practice set is aligned perfectly with the AP Calculus AB Course and Exam Description (CED) for Topic 1.13: Removing Discontinuities. It requires students to synthesize algebraic limit manipulation (factoring, conjugates, trig identities) with the formal definition of continuity to define the "continuous extension" of a function. The Rigo
Preview of Guided Product Rule

Guided Product Rule

Product Description: Product Rule Guided Worksheet with Trig FunctionsThis guided worksheet helps students master the Product Rule with a mix of polynomial and trigonometric functions. Each problem includes structured space for rewriting the expression, identifying f(x) and g(x), and applying the Product Rule step-by-step. The addition of trig functions provides meaningful challenge while still offering clear scaffolding to support student understanding. Perfect for introducing the Product Rule,
Preview of Asymptotes, Discontinuities, and Continuity - Putting it all Together Assignment

Asymptotes, Discontinuities, and Continuity - Putting it all Together Assignment

Students will determine what asymptotes/discontinuities six different functions have. They will match their work to the graphs at the end. This is the last assignment before they start looking at derivatives. There are note sheets 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.
Preview of AP Calculus Parametric Eqns, Polar Coords, Vectors MC Practice – BC Test Prep

AP Calculus Parametric Eqns, Polar Coords, Vectors MC Practice – BC Test Prep

Created by
Coach Calculus
AP Calculus Parametric Equations, Polar Coordinates, and Vector-Valued Functions Multiple Choice Practice – 25+ AP-style questions covering parametric curves, polar graphs, vector operations, velocity, acceleration, and motion in the plane (BC). Aligned to AP College Board CED Units 9. Build student confidence before unit tests and the AP exam with rigorous, classroom-ready problems that balance conceptual understanding and procedural skill. What's Included: Original AP-style multiple choice que
Preview of AP Calculus Polar - Slitherlink Puzzle Activity

AP Calculus Polar - Slitherlink Puzzle Activity

This is a 60 minute activity over Calculus of polar functions intended for AP Calculus BC. It consists of two multi-part AP-style FRQ problems covering polar functions. The puzzle is a Slitherlink puzzle. While these are generally challenging, this particular puzzle is relatively small and most student can finish the problems and the activity within the hour.
Preview of AP Calculus Parametric - Tatami Puzzle Activity

AP Calculus Parametric - Tatami Puzzle Activity

This is a 60 minute activity over Calculus of parametric functions intended for AP Calculus BC. It consists of two multi-part AP-style FRQ problems covering parametric functions as they relate to Horizontal and vertical tangentsSecond derivativesSpeedDistanceThe puzzle is a Tatami puzzle, with similar structure to a Sudoku, however most students have never seen a puzzle like this before.
Preview of Derivative (Power Rule/Basic Trig) Assignment

Derivative (Power Rule/Basic Trig) Assignment

The main focus of this assignment is finding the derivatives of functions using the power rule (and the six basic trig functions). This assignment also reviews finding limits of piece-wise functions and continuity. 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.
Preview of Instantaneous Rate of Change | Answer Key

Instantaneous Rate of Change | Answer Key

This worksheet focuses on estimating and calculating the instantaneous rate of change of functions at specific points. Students practice finding slopes of tangent lines using limits, difference quotients, and interpreting graphs or tables to approximate instantaneous rates. Problems include polynomial and quadratic functions. Ideal for deepening understanding of derivatives and preparing for calculus concepts.
Preview of Power Rule Worksheet

Power Rule Worksheet

This Power Rule worksheet provides straightforward, independent practice for students learning how to differentiate functions using the Power Rule. Unlike a guided worksheet, this resource is designed for students who are ready to apply the rule on their own without structured steps or prompts. The problems increase in complexity to help build fluency and confidence while reinforcing foundational derivative skills. Perfect for classwork, homework, bell-ringers, or quick review before quizzes and
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