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103 results

High school calculus homework for Microsoft Word

Preview of Disk and Washer Radius Practice

Disk and Washer Radius Practice

Created by
Emily P K
For most students, the hardest part about finding the volume of a solid of revolution is identifying whether to use disks or washers* and what the radius/radii are. This set of 24 problems lets students focus on those two important aspects, with four sets of six related problems. Students are not asked to complete the (sometimes tedious) calculations to find the volume; instead, they are asked only to focus on identifying whether to use disks or washers and giving expressions for r (and R, for
Preview of AP Calculus Summer Work Packet

AP Calculus Summer Work Packet

Created by
Emily P K
This is for teachers who want to assign summer work to students entering AP Calculus. The file includes six pages of questions about prerequisite skills for Calculus, separated by topic: - "Super-basic" algebra skills - Trigonometry - Higher-level factoring - Logarithms and exponential functions - Rational expressions and equations - Graphing The file also includes an answer key. Per the introduction on the first page of the file: "Most questions in this packet were included because they conc
Preview of Calculus Workbook

Calculus Workbook

Created by
Dave Carlgren
Massive and complete calculus course workbook. Instruction, practice problems, solutions all in one package!
Preview of Integration Practice for AP Calculus BC

Integration Practice for AP Calculus BC

Created by
Emily P K
This three-part worksheet contains practice for all types of integration methods in AP Calculus BC. The three parts are as follows: - Practice with mental u-substitution: When the derivative of u is a constant - True/false: Identifying and correcting common mistakes - Multiple methods: Do the same problem using two different methods. The methods of integration necessary are as follows: - Basic integration methods (power rule, etc.) - u-substitution - Integration by parts - Integration using p
Preview of Position Velocity Acceleration

Position Velocity Acceleration

Created by
Emily P K
The first page of this file is a notes/reference sheet about the relationships between position, velocity (and speed), and acceleration for rectilinear motion problems. The second page (or back) has students practice interpreting position, velocity, acceleration, and speed graphically. An answer key is included.
Preview of First and Second Derivatives - Graphically

First and Second Derivatives - Graphically

Created by
Emily P K
The first page of this file is a reference sheet for students to fill in and refer to when looking at the relationship between the graphs of f f' and f''.On the second page (or back), students apply this knowledge to sketch the graph of a f given information about f, f', and/or f''.An answer key is included.
Preview of Differential Calculus Test

Differential Calculus Test

Created by
ENTER - ONE
This is a differential calculus test covering:1. Derivatives from 1st principles2. Linear equations3. Product rule4. Quotient rule5. Chain rule6. LogarthimQuestions and answers are provided. To create the question paper, just delete the answers.Kind RegardsENTER-ONE
Preview of Limits of Functions Using Critical Points and Dicontinuities

Limits of Functions Using Critical Points and Dicontinuities

Created by
Adam Wade
Given a graph, students will find limits of functions using the three types of discontinuities: removable, jump, and infinite. The table provided allows students to find limits using left and right behavior, and determining if it exists from both sides. Also, students will find the functional values at these critical points.
Preview of Differentiation Rules - Numerically and Graphically

Differentiation Rules - Numerically and Graphically

Created by
Emily P K
In this multi-part file, students apply what they know about basic derivative rules (sum/difference, constant multiple, product, quotient, and chain) numerically and graphically. Part 1 (half-sheet, front-to-back): Students write an expression for the derivative of certain functions and state what rule they applied. For example: the derivative of f(2x) is 2f'(2x), which is an application of the chain rule. Part 2 (one page): Students use a table of values for f f' g and g' to find the derivat
Preview of Related Rates Practice

Related Rates Practice

Created by
Emily P K
This worksheet has five multi-part related rate (Calculus) problems, in order of increasing difficulty. Each problem utilizes a common theme in related-rates problems: - geometry (surface area and volume) - a point moving along a curve - similar triangles - Pythagorean Theorem - trigonometry The problems can be used as an assessment, an in-class assignment, or as homework. Answer key is included.
Preview of Solving Trigonometric Equations Worksheet

Solving Trigonometric Equations Worksheet

Created by
Mr JC
This is a worksheet that requires students to solve trigonometric equations. Students do NOT need to know any trigonometric identities to solve these equations. It contains equations with sine, cosine, tangent, secant, cosecant, and cotangent.
Preview of Integrating Any Quotient in Calculus AB

Integrating Any Quotient in Calculus AB

Created by
Emily P K
This packet gives students a variety of quotients to integrate. Each row contains similar problems with slight changes that affect the necessary approach, so the problems are organized to help students compare and contrast problems to find patterns and rules of thumb for integrating quotients. For example: when is it necessary to use inverse trigonometry instead of simple u-substitution? Skills / prerequisite knowledge required to complete the problems: - Integrating using inverse trigonometr
Preview of Derivatives in Context - Power Rule

Derivatives in Context - Power Rule

Created by
Owen Zach
This activity will allow students to explore different scenarios and seeing what kind of information that the derivative (using only the power rule) can tell us, including what a derivative of 0 means in each of these contexts. Calculators are needed to evaluate some of the derivatives at a certain value, but no other differentiation methods are needed besides the Power Rule.
Preview of Calculus Fundamental Theorem of Calculus (FTC) and Average Value Circuit

Calculus Fundamental Theorem of Calculus (FTC) and Average Value Circuit

Created by
Emily Kelly
This Circuit for AP Calculus AB or BC has 16 questions. Some questions require use of a calculator. The questions cover various topics including definite integrals of absolute value functions, average velocity, average value, displacement and distance, and many word problems involving the Fundamental Theorem of Calculus where an initial value is given and students an integral of a rate to find a final value.
Preview of Graphs of f, f', f''

Graphs of f, f', f''

Created by
Emily Kelly
This is designed for AP Calculus AB and BC classes that are studying curve sketching and the relationship between graphs of f, f' and f''. On the front, students look at three sets of graphs and label each one f, f' and f''. They are to explain in sentences their selection. On the back is a multiple choice question in which students are given a graph of f' and asked to choose which could be f. Again, they are asked to explain their selection in sentences.
Preview of Inverse Functions and Derivatives

Inverse Functions and Derivatives

Created by
Emily P K
In this problem set, students use what they know about the derivative of inverse functions. They apply this knowledge graphically (given a graph of f), numerically (given a table of values for f and f'), analytically (given a formula for f).
Preview of Calculus Indefinite Integrals Homework Integral

Calculus Indefinite Integrals Homework Integral

Created by
Emily Kelly
There are twenty indefinite integral problems involving basic power rule and trig integrals. There is no u-substitution involved. Following the twenty problems there is one related rates problem involving a right triangle with an airplane flying overhead. There is an answer key included.
Preview of AP Calculus - Particle Motion Free Response Practice Problem

AP Calculus - Particle Motion Free Response Practice Problem

Created by
Shannon Troutman
AP* Calculus AB Free Response Practice Problem on Particle Motion - This is a graph analysis problem and would be a non-calculator question. *AP is a registered trademark of College Board and does not endorse this product.
Preview of Properties of Functions Practice

Properties of Functions Practice

Created by
MathMUDtician
This worksheet uses piecewise graphs to practice all of the major features and properties of functions, and includes an answer key.Topics covered are: interval notation, domain, range, increasing, decreasing, constant, extrema, continuity, and types of discontinuities.
Preview of Discovering the Chain Rule in an Everyday Life Situation (Calculus Activity)

Discovering the Chain Rule in an Everyday Life Situation (Calculus Activity)

Created by
Greg Savage
In this activity, students discover the chain rule by exploring a common everyday life situation: ordering food from a restaurant.
Preview of Extrema and Points of Inflection Graphically

Extrema and Points of Inflection Graphically

Created by
Emily P K
Given the graph of a function's derivative, students answer questions about the extrema, concavity, etc., of f (6 questions). Then, imagining the given graph is the graph of a bug's velocity, students answer questions about the bug's speed and direction. An answer key is included.
Preview of Discovering the Power Rule by Approximating Derivatives (Calculus Activity)

Discovering the Power Rule by Approximating Derivatives (Calculus Activity)

Created by
Greg Savage
In this activity, students discover the power rule by approximating derivatives of functions and by observing that their answers follow the power rule.
Preview of IB Math SL Topic 6 Overview: Calculus with answer key (Editable)

IB Math SL Topic 6 Overview: Calculus with answer key (Editable)

Created by
Peter Jonnard
I like for my IB Math SL (Math Methods) students to have a "tour" of what the IB course will be like by opening each unit with an introductory worksheet. This worksheet gives my IB students a preview of Topic 6: Calculus. The preview file is a pdf showing what you will get; the product file is a word document, which you may edit for your students. Keywords: IB, Math, SL, Topic 6, Calculus, Jonnard
Preview of Derivatives Graphically

Derivatives Graphically

Created by
Emily P K
With this practice sheet, students apply what they know about the graphical relationship between a function and its derivative.Part 1: Given f sketch f' and given f' sketch fPart 2: Given f, what do you know about f' and f''Part 3: Given f', what do you know about f and f''Part 3: Given velocity, what do you know about displacement, speed, and accelerationYou will download an editable .doc file, which includes photos of a handwritten answer key on pages 3-4.
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