325 results
High school calculus worksheets for Microsoft Word
Disk and Washer Radius Practice
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
Grades:
10th - 12th
Types:
Also included in: Calculus AB Resources (discounted bundle)
AP Calculus Summer Work Packet
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
Grades:
10th - 12th
Types:
Also included in: Calculus AB Resources (discounted bundle)
Trig Identities - Simplify, Verify, Solve (WS)
This packet has 8 worksheets. (In common core it is an Algebra II topic.)
1 is solving basic trig equations in the first quadrant (10 problems)
1 is simplifying trig expressions (20 problems)
3 are verifying trig equations (total of 22 problems with all of the steps in each equation given)
2 are solving trig equations (total of 15 problems with all of the steps in the process)
1 is using and sum and difference identities (10 problems)
All answers are included.
(They could be used as a Calculus
Subjects:
Grades:
9th - 12th, Higher Education
Types:
Precalculus Final Exam (40 Questions)
Precalculus Final Exam40 questionsMultiple Choice Questions -Open Ended Questions Topics Covered:The formal rules of algebraFunctionsGraphsPolynomial functionsThe roots, or zeros, of a polynomialThe slope of a straight lineLinear functions: The equation of a straight lineSynthetic divisionRoots of polynomials of degree greater than 2Inverse functionsLogarithmsLogarithmic and exponential functionsMultiplication of sums My Quizzes: 4th Grade Word Problems Quiz (10 Q)Equations and Inequalities Quiz
Subjects:
Grades:
8th - 12th, Higher Education, Adult Education, Staff
Types:
Stand and Deliver Movie Questions
This 5 page document allows students to write character descriptions as they watch the movie. It also provides questions which ask them to consider important themes and messages as they watch.
Easy to answer questions are provided for students to fill in while watching the movie to keep them attentive. Then, after the film, 8 essay questions are provided to get more in-depth responses about controversial topics discussed in the movie. Use this movie guide as an instructional classroom tool
Grades:
8th - 12th
Types:
A Trip to Infinity - Movie Guide - Netflix Special
A Trip to InfinityNetflix Films – TV-PG – Documentary Films, Science & Nature Docs – 1 hour 19 minutes – Sept. 26th, 2022In this Science documentary, scientists and thinkers draw on calculus, theoretical physics, and philosophy to reflect on the puzzle of infinity.23 questions with time stamps (2 pages) Answer Key (2 pages) Free! Did somebody say Free? That’s right, I did! Make sure to follow me, and be the first to know when I change my “Free Primary Download”, as it changes regularly!
Grades:
9th - 12th
Types:
First and Second Derivative Tests and Concavity Notes
These notes correspond with my First and Second Derivative Tests and Concavity PowerPoint. Students may follow along as you go through the power point and make their own notes. This hopefully saves time and allows students to focus more on the concept rather than trying to get everything written down.
Subjects:
Grades:
9th - 12th, Higher Education
Precalculus (Midterm Review)
Precalculus (Midterm Review)It covers the first three chapters and the following topics:FunctionsThe x intercept(s), y intercept, and domain of each function below.Symmetry over the x-axis, y-axis, and/or origin.Graphing FunctionsThe average rate of changeRoots with multiplicity, and the y-intercept.Rational functionsThe vertexThe factor theoremThe Remainder TheoremPolynomialLogarithm and Exponential functionsIt is 4 pages of questions and 4 pages of answers. My Quizzes: 4th Grade Word Problems
Subjects:
Grades:
10th - 12th, Higher Education, Adult Education, Staff
Types:
CCSS:
AP Calculus Free Response Packet
This packet contains 18 multi-part questions modeled after past AP Calculus free response questions. This document can be used as an AP exam review packet or split up and used throughout the course (which is what I intended in writing the problems). The packet covers most all of the content in AP Calculus AB. I also sell these same problems divided up into four units (differentiation, applications of differentiation, integration, differential equations and applications of integration).
Grades:
10th - 12th, Higher Education
Types:
Polar Coordinates Battleship
This is a polar coordinates battleship game to play with precalculus or calculus students. It helps them to learn about graphing polar coordinates.
Subjects:
Grades:
10th - 12th, Higher Education, Adult Education, Staff
Types:
Integration Practice for AP Calculus BC
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
Grades:
9th - 12th
Types:
Also included in: Calculus BC Resources (discounted bundle)
Position Velocity Acceleration
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.
Grades:
10th - 12th
Types:
Also included in: Calculus AB Resources (discounted bundle)
First and Second Derivatives - Graphically
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.
Grades:
10th - 12th
Types:
Calculus: The Coyotes Instantaneous Velocity on Impact with Key (Editable)
Before delving into calculus directly, I like to give my precalculus/IB students something to which they can relate: the concept of instantaneous velocity, as it applies to the infamous cartoon coyote. This activity "holds their hands" through the process of calculating the coyote's instantaneous velocity from an informal limits perspective.
I use it within cooperative groups, and I circulate to make sure they are getting the purpose of the questions.
The file includes spiral review problems.
Subjects:
Grades:
9th - 12th
Types:
Limits Matching Activity with Continuity
Limits Match
Directions:
1. Cut out each graph below. Make a pile of graphs on your desk.
2. Cut out each statement below. Make a pile of statements on your desk.
3. Match each statement with the correct graph.
4. Fill in page 3 using complete sentences and mathematic vocabulary.
5. NOTE: Some statements can match with more than one graph HOWEVER the cards can only be matched ONE way correctly.
Subjects:
Grades:
11th - 12th
Types:
Intro. to Calc. #1 (Average Rate of Change)
In trying to bridge the gap between our textbooks and the AP Calculus expectations, I felt that another unit needed to be created. For this reason, I developed this "Intro. to Calc." unit that takes place directly after a short "prerequisites" unit and right before introducing actual differentiation rules. I felt as if concepts like tangent/secant lines went hand-in-hand with concepts like the Mean Value Theorem and could be introduced conceptually without getting bogged down in the mechanics
Subjects:
Grades:
11th - 12th
Types:
BUILD A TURKEY w/ DERIVATIVES - Thanksgiving Power Rule Review Activity
Students take the 1st through 6th derivative of a polynomial function (7 options). They write each derivative on a feather of the turkey. Fun review of the power rule with an emphasis on using proper notation of a derivative. Perfect review activity before break!
Subjects:
Grades:
11th - 12th
Types:
Introduction to Concavity
This activity presents students with a piece-wise defined function that models a portion of the roller coaster "The Racer". Students are then introduced to the concepts of concavity and points of inflection. The activity walks them through graphing a sketch of the derivative function and then asks them to make connections between concavity and points of inflection and the graph of the first derivative. The intent is to get them to see for themselves the need for the second derivative.
Grades:
11th - 12th
Types:
Limits of Functions Using Critical Points and Dicontinuities
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.
Subjects:
Grades:
10th - 12th
Types:
Differentiation Rules - Numerically and Graphically
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
Grades:
10th - 12th
Types:
Also included in: Calculus AB Resources (discounted bundle)
Discovery of Tangent and Cotangent Graph
This is a discovery worksheet for students to build their knowledge of the values of sine and cosine to discover the properties of the tanx and cotx graph. This will help them understand why the vertical asymptotes occur and why and how cotx and tanx differ.
They do the sine value / cosine value to determine the tangent value. They can either do the decimal approximation or practice dividing the fractions.
Subjects:
Grades:
10th - 12th
Types:
Pi Day Activity - Integral Calculus
Students will work in teams to find the area of the Pi symbol on the coordinate plane. Students must have knowledge of computing definite integrals.
Subjects:
Grades:
11th - 12th
Types:
Related Rates Practice
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.
Grades:
10th - 12th
Types:
Also included in: Calculus AB Resources (discounted bundle)
Precalculus Review
This review includes some formulas and 20 problems. I use this in the first week of AP Calculus AB. It is a good follow up to the Precalculus Review power point that I have available for free download. Topics include: writing equations of lines, functions, domain and range, and even and odd functions.
Subjects:
Grades:
10th - 12th, Higher Education
Types:
Showing 1-24 of 325 results
TPT is the largest marketplace for PreK-12 resources, powered by a community of educators.
IXL family of brands