235 results
High school calculus handouts for Microsoft Word
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
Graphing Calculators and the AP Calculus Test
This is a one-page (front-to-back) TI-83 or 84 reference guide / manual for students taking AP Calculus AB or BC. It includes a list of several common error messages and how to fix them, as well as step-by-step instructions and examples for the four things students can let the calculator do on the AP test:
- Graph a function
- Solve equations / find roots / find intersections
- Find the derivative of a function at a point
- Find the value of a definite integral
Grades:
10th - 12th
Types:
Also included in: Calculus AB Resources (discounted bundle)
CALCULUS 1-Differentiation and Integration
Differentiation and Integration with Basic concepts, solved examples and real world applications.
Subjects:
Grades:
11th - 12th, Higher Education, Staff
Types:
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:
Optimization Mini-Projects (Calculus)
This is a series of 5 mini-projects focusing on optimization (or analyzing other features of functions) using differential calculus. I call them "mini-projects" because each of them can be completed over the course of 2-3 hour-long class periods, depending on students' mathematical backgrounds. They can be done individually, but probably work better as small group projects.Each project handout gives all the relevant background information, and then frames a series of questions. They are desig
Subjects:
Grades:
10th - 12th, Higher Education
Types:
CCSS:
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:
Logarithms Desmos Activity
This lesson/activity was designed to have students explore the transformations of logarithms using online graphing software through Desmos.com. This can be used as an independent investigation (if students have access to computers/personal devices) or as a guided lesson. It serves as a great reference tool for the logarithms unit.
Subjects:
Grades:
12th, Higher Education
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:
Reference Sheet - Derivatives and Integrals
A simplified version of those lengthy derivative and integral tables in textbooks. Students can keep this reference sheet in their notebook and fill it in a bit at a time throughout the course.
Page 1 has a list of major derivatives and derivative rules, and page 2 has a list of important integrals. On the integrals page, dashed lines indicate integral rules that directly follow from derivative rules (e.g., the derivative of sin(x) is cos(x), so the antiderivative of cos(x) is sin(x). ) to em
Grades:
10th - 12th
Types:
Also included in: Calculus AB Resources (discounted bundle)
Introduction worksheet to calculus covering product and quotient rule
This worksheet can be used as revision.Topics covered include product and quotient rule Kind RegardsENTER-ONE
Grades:
11th - 12th
Types:
Introduction worksheet to Differential Calculus..
This is a worksheet that can be used as a review for differential calculus.Topics covered include, 1st principles, chain rule and linear equations
Logarithms and Exponentials: Evaluate, Properties, Solving with Key
This 20-question, fully editable assignment could be used as a mini-review or a test. I use it as part of my testing (this is the non-calculator half of the test) before I begin graphing. It consists of:6 simplify problems with exponential expressions, including rational and negative exponents4 evaluate problems with logarithms, including the natural log2 condense problems (use properties of logs to write as a single logarithm)2 expand problems (use properties of logs to expand the expression)
Subjects:
Grades:
10th - 12th, Higher Education
CCSS:
Solving Trigonometric Equations Worksheet
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.
Subjects:
Grades:
10th - 12th
Types:
Also included in: Solving Trigonometric Equations Worksheet Bundle
Derivatives in Context - Power Rule
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.
Subjects:
Grades:
11th - 12th
Types:
Calculus Fundamental Theorem of Calculus (FTC) and Average Value Circuit
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.
Graphs of f, f', f''
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.
Subjects:
Grades:
11th - 12th
Types:
Conics Packet with Answer Key
This 5-question, fully editable packet has the following directions:Graph each of the following. · If it is a parabola, identify and graph the vertex, focus, and directrix.· If it is a circle, identify the center, the radius, and the four points you use to graph it.· If it is an ellipse, identify the center, the vertices, and the co-vertices.· If it is a hyperbola, identify the center, the vertices, and the asymptotes.
Subjects:
Grades:
10th - 12th, Higher Education
Types:
Also included in: Conics Unit - Notes, Quizzes, Review, and Test with Answer Keys
Calculus Indefinite Integrals Homework Integral
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.
Subjects:
Grades:
11th - 12th, Higher Education
Types:
Logarithms and Exponentials: Evaluate, Properties, Solving
This 20-question, fully editable assignment could be used as a mini-review or a test. I use it as part of my testing (this is the non-calculator half of the test) before I begin graphing. It consists of:6 simplify problems with exponential expressions, including rational and negative exponents4 evaluate problems with logarithms, including the natural log2 condense problems (use properties of logs to write as a single logarithm)2 expand problems (use properties of logs to expand the expression)
Subjects:
Grades:
10th - 12th, Higher Education
CCSS:
Conics Packet
This 5-question, fully editable packet has the following directions:Graph each of the following. · If it is a parabola, identify and graph the vertex, focus, and directrix.· If it is a circle, identify the center, the radius, and the four points you use to graph it.· If it is an ellipse, identify the center, the vertices, and the co-vertices.· If it is a hyperbola, identify the center, the vertices, and the asymptotes.
Subjects:
Grades:
10th - 12th, Higher Education
Types:
Also included in: Conics Unit - Notes, Quizzes, Review, and Test
AP Calculus: Formula Sheet
This is a detailed formula sheet that I give out to students while we are reviewing for the AP Calculus AB exam. It includes an extensive list of the necessary limit/derivative/integral rules with regard to a variety of functions.
Subjects:
Grades:
11th - 12th
Types:
Calc AB AP Exam Summary and Important Points
I give this out during my last class before the AB Exam for students to look over the night prior. It outlines the logistics of the test itself, and also reviews important concepts, some that are easily forgotten (derivative of an inverse among others).
Subjects:
Grades:
10th - 12th, Higher Education
Types:
Advanced Trig Identities
Formula Sheet with Advanced Trig IdentitiesNegative AngleCofunctionAngle DifferenceAngle SumDouble AngleHalf Angle
Subjects:
Grades:
10th - 12th, Higher Education
Types:
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