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Preview of AP Calculus: The First and Second Derivative Tests Complete Lesson

AP Calculus: The First and Second Derivative Tests Complete Lesson

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Grab a Pencil
This lesson introduces the First and Second Derivative Tests in the context of polynomials. (The lesson on Curve Sketching uses these tests to examine other types of functions.) The lesson begins with a review of increasing and decreasing functions as well as critical numbers. Then, the First Derivative Test is introduced, along with an application. After that, concavity and inflection points are introduced. Finally, the Second Derivative Test is shown, along with an example. This lesson is
Preview of AP Calculus: Curve Sketching Complete Lesson

AP Calculus: Curve Sketching Complete Lesson

Created by
Grab a Pencil
In this lesson, students gain practice in using calculus to understand the features of a graph. Students learn to identify the domain, intercepts, and symmetry of a function. They also practice using calculus to find asymptotes, intervals of increase and decrease, intervals of concavity, local extrema, and points of inflection. This lesson is appropriate for both AP Calculus AB and BC. Detailed answer keys are included. The topics covered include: -Features of a Function -Rational Function -Tr
Preview of AP Calculus: Graphing the Derivative Complete Lesson

AP Calculus: Graphing the Derivative Complete Lesson

Created by
Grab a Pencil
This lesson helps students learn how to graph the derivative of a function, given a graph of the function. Students also learn how to interpret the graph of the derivative and they make the connection between the derivative of the position function and the velocity function. Increasing and decreasing functions are also introduced. Finally, students learn how to estimate derivatives from a table of values and then use those values to create a graph of the derivative. This lesson is appropriate
Preview of Calculus BC notes, hw, warm ups and practice quizzes

Calculus BC notes, hw, warm ups and practice quizzes

In this download you will find everything you need to teach all the topics of Calculus BC for the year. Topics stretch from review of prior math to polar functions. PDF and word files are included for all packets. Word files are editable. Each of 10 chapters has notes, homework, warmups and practice quizzes. There are powerpoints of each set of notes to teach with, and they are editable. Filled in notes are included, as well as homework work and answers. The warm ups also have a powerpoint fil
Preview of Calculus AB notes, hw, warm ups and practice quizzes

Calculus AB notes, hw, warm ups and practice quizzes

In this download you will find everything you need to teach all the topics of Calculus AB for the year. Topics stretch from review of prior math to volumes of rotation. PDF and word files are included for all packets. Word files are editable. Each of 7 chapters has notes, homework, warmups and practice quizzes. There are powerpoints of each set of notes to teach with, and they are editable. Filled in notes are included, as well as homework work and answers. The warm ups also have a powerpoi
Preview of Product and Quotient Rules Quiz

Product and Quotient Rules Quiz

Created by
Vanessa Moon
This is a 6 question quiz designed to access students ability to apply the product and quotient rules to derivatives. It also includes a derivative of one of the 6 trigonometric functions. This quiz contains no chain rule.
Preview of Calculus Related Rates NO Prep Lesson, Worksheet, & Key

Calculus Related Rates NO Prep Lesson, Worksheet, & Key

Calculus Related Rates: NO Prep Needed! This lesson contains everything you need to teach related rates. The editable and animated PowerPoint goes through all of the steps and tips involved when solving related rates problems and uses the popular DREDS strategy (Diagram, Label Rates, Write Equation(s), Differentiate, and Substitute). It contains 5 complete examples with step by step solutions, one of which is presented for the students to work out on their own. I put that slide up, give them 5-
Preview of Limits Quiz (Calculus)

Limits Quiz (Calculus)

This is a quiz on limits that can be used in a Precalculus or Calculus class.
Preview of Pre-Calculus - Solving Radical Equations and Inequalities - EDITABLE

Pre-Calculus - Solving Radical Equations and Inequalities - EDITABLE

This is a short worksheet/quiz for a Pre-Calculus class that covers solving different types of radical equations and inequalities. Answer sheet also included.
Preview of Pre-Calculus Chapter 1 Quiz - Real Numbers, Relations, etc. EDITABLE

Pre-Calculus Chapter 1 Quiz - Real Numbers, Relations, etc. EDITABLE

This is a brief, editable quiz for a Pre-Calculus Class and covers Real Numbers, Number Relations, Functions, Mathematical Patterns, and Arithmetic Sequences. Answer Key Included.
Preview of AP Calculus Limits Unit Warmups

AP Calculus Limits Unit Warmups

Created by
Monty Works
AP Calculus AB Big Idea 1: Limits and Continuity. There are 10 practice problems for the limits and continuity unit that can be used for warmups, quizzes, or tests. Complete answer key is included.
Preview of Trigonometric Identities Sheet

Trigonometric Identities Sheet

Created by
My Math Muse
This identity sheet lists the major Trigonometric Identities that your students will need in class! This is a word document that you can edit. I place boxes over various identities and make the students fill them in for quizzes!
Preview of Precalculus Final Exam (40 Questions)

Precalculus Final Exam (40 Questions)

Created by
A R Mathematics
Precalculus Final Exam 40 questions Multiple Choice Questions -Open Ended Questions Topics Covered: The formal rules of algebra Functions Graphs Polynomial functions The roots, or zeros, of a polynomial The slope of a straight line Linear functions: The equation of a straight line Synthetic division Roots of polynomials of degree greater than 2 Inverse functions Logarithms Logarithmic and exponential functions Multiplication of sums My Quizzes: 4th Grade Word Problems Quiz (10 Q)Equations and
Preview of Precalculus (Midterm Review)

Precalculus (Midterm Review)

Created by
A R Mathematics
Precalculus (Midterm Review) It covers the first three chapters and the following topics: Functions The x intercept(s), y intercept, and domain of each function below. Symmetry over the x-axis, y-axis, and/or origin. Graphing Functions The average rate of change Roots with multiplicity, and the y-intercept. Rational functions The vertex The factor theorem The Remainder Theorem Polynomial Logarithm and Exponential functions It is 4 pages of questions and 4 pages of answers. My Quizzes: 4th Grade
Preview of AP Calculus: Infinite Limits and Limits at Infinity Complete Lesson

AP Calculus: Infinite Limits and Limits at Infinity Complete Lesson

Created by
Grab a Pencil
This lesson introduces two kinds of limits: infinite limits and limits at infinity. Both types are looked at graphically as well as algebraically. Also, each type is connected to its corresponding asymptote. Thus the student learns a new language for describing horizontal and vertical asymptotes. This lesson is appropriate for both AP Calculus AB and BC. Detailed answer keys are included. The topics covered include: -Definition of an Infinite Limit -Recognizing Infinite Limits -Evaluating
Preview of Integration Revision Booklet - Year 12 HSC Mathematics Advanced

Integration Revision Booklet - Year 12 HSC Mathematics Advanced

A complete and extensive topic workbook on the Mathematics Advance HSC Integration topic. Content includes Areas and the definite integral Evaluating definite integrals The definite integral and its properties Proving the fundamental theorem The indefinite integral Finding areas by integration Areas of compound regions The trapezoidal rule The reverse chain rule Find more great resources at my store - High School Education NSW
Preview of Curve Sketching w. Derivatives Revision Book - Year 12 HSC Mathematics Advanced

Curve Sketching w. Derivatives Revision Book - Year 12 HSC Mathematics Advanced

A complete and extensive topic workbook on the Mathematics Advance HSC Integration topic. Content includes The sign of the first derivative Stationary points and turning points Second and higher derivatives The Second Derivative and Concavity Curve sketching Curve sketching – Restricted domains and Global maximum and minimum Applications of maximisation and minimisation Primitive Functions Find more great resources at my store - High School Education NSW
Preview of AP Calculus: Related Rates Complete Lesson

AP Calculus: Related Rates Complete Lesson

Created by
Grab a Pencil
This lesson guides students through the process of solving related rates problems. Students are shown a procedure to follow and then the procedure is applied to several related rates problems. This lesson is appropriate for both AP Calculus AB and BC. Detailed answer keys are included. The topics covered include: -Recognizing Rates -Differentiating Equations to Relate Rates -Procedure for Solving Related Rates Problems -Inflating Balloon -Expanding Oil Slick -Ladder Sliding Down Wall -Water Dra
Preview of AP Calculus: Indefinite Integrals Complete Lesson

AP Calculus: Indefinite Integrals Complete Lesson

Created by
Grab a Pencil
This lesson introduces the notation for indefinite integrals. Students learn some techniques for evaluating indefinite integrals. Initial-value problems are introduced and motion problems are used as an example. This lesson is appropriate for both AP Calculus AB and BC. Detailed answer keys are included. The topics covered include: -Antiderivatives and Indefinite Integrals -Comparing Definite and Indefinite Integrals -Common Indefinite Integral Formulas -Intervals of Validity -Strategies for E
Preview of AP Calculus: Volumes by Cylindrical Shells Complete Lesson

AP Calculus: Volumes by Cylindrical Shells Complete Lesson

Created by
Grab a Pencil
This lesson covers the techniques needed to find the volume of a solid of revolution using cylindrical shells. Rotations about both the x- and y-axes are considered, as well as rotations about a line. Volumes using disks and washers are covered in a separate lesson. This lesson is appropriate for both AP Calculus AB and BC, as well as college calculus. Note that while finding volumes using cylindrical shells is not explicitly tested on the AP exam, students can earn full credit by using the
Preview of AP Calculus: Integration by Parts Complete Lesson

AP Calculus: Integration by Parts Complete Lesson

Created by
Grab a Pencil
This lesson introduces students to the integration technique known as "integration by parts." Students learn to use integration by parts with both definite and indefinite integrals. There are many examples of integration by parts contained in the lesson, as well as the homework assignment. This lesson is appropriate for AP Calculus BC. Detailed answer keys are included. The topics covered include: -Formulating Integration by Parts -Using Integration by Parts -Practice with Integration by Par
Preview of AP Calculus: Finding Limits Algebraically Complete Lesson

AP Calculus: Finding Limits Algebraically Complete Lesson

Created by
Grab a Pencil
This lesson emphasizes an algebraic approach to limits. Students learn how to evaluate limits by substitution. They also learn how to handle limits of rational functions and limits of radical functions. Finally, students learn how to apply the limit laws to find limits from a graph or from a formula. This lesson is appropriate for both AP Calculus AB and BC. Detailed answer keys are included. The topics covered include: -Limit Laws -Identifying the Limit Laws -Limits of Rational Functions
Preview of AP Calculus: Techniques of Differentiation Unit Bundle

AP Calculus: Techniques of Differentiation Unit Bundle

Created by
Grab a Pencil
This bundle includes seven lessons which make up Unit 4: Techniques of Differentiation. These lessons are appropriate for AP Calculus AB, AP Calculus BC, or college calculus. Each lesson includes a PowerPoint presentation along with guided notes, a Do Now, an Exit Ticket, and a homework assignment. All components come with complete and detailed answer keys. You can also purchase the lessons separately: - The Product and Quotient Rules- Derivatives of Trigonometric Functions- The Chain Rule- I
Preview of AP Calculus: Optimization Problems Complete Lesson

AP Calculus: Optimization Problems Complete Lesson

Created by
Grab a Pencil
This lesson introduces students to what are known as "optimization problems." First, students learn to tackle these problems in five simple steps. Then, the problem-solving procedure is applied to a number of different types of optimization problems. This lesson is appropriate for both AP Calculus AB and BC. Detailed answer keys are included. The topics covered include: -Procedure for Solving Optimization Problems -Finding Two Numbers -Finding the Area of a Field -Finding the Cost of Materials
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