Basic Function Tables
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Polar Functions - Slope and Basic Area
Bundle of resources for a lesson on Polar Functions - Slope and Basic Area. Includes the following (note that all resources can be edited, equations may require MathType): PowerPoint presentation for the lesson itselfWord Guided Notes to go with lessonWord handouts for a homework assignment plus 1 to 6 extra practice problem sets, depending on the lesson. Most questions are at AP level of rigor.PowerPoint presentations for full solutions to problem setsThe layout is very straightforward (no vi
9th - 12th
Calculus, Math Test Prep, PreCalculus
Also included in: Parametric, Vector and Polar Functions (Calculus) Unit
AP Calculus Unit 2 Differentiation Defining & Basic Derivative Rules
Multiple weeks long lessons on Derivatives for in-class smartboard lesson or online teaching. VERY good step-by-step notes. Includes vocabulary, pictures, notes, linked activities and answer key. High school AP Calculus. Could be used for BOTH in-person and online teaching/learning. Unit 2 Differentiation: Defining and Basic Derivative Rules2.1 Defining Average and Instantaneous Rates of Change at a Point 2.2 Defining the Derivative of a Function and Using Derivative Notation 2.3 Es
9th - 12th
Calculus
Multivariable Calculus: Deriv. and Int. of Vector Functions Complete Lesson
This lesson teaches students how to find the derivatives and integrals of vector functions, along with several applications, such as finding the equation of a tangent line, finding second derivatives, and determining if a curve is smooth. In addition, students learn to produce basic proofs using the rules of differentiation and integration. This lesson is meant for a Multivariable Calculus course, but it could be used after AP Calculus exams have finished. Detailed answer keys are included. Th
10th - 12th, Higher Education
Calculus, Math
101 Limits by Graphs and Tables - One-Sided Limits PowerPoint™ Calculus Practice
This PowerPoint™ presentation is an introduction to limits via graphs and tables (and one-sided limits) that can easily be converted to a Google Slides presentation. With this lesson, calculus students will: 1.) Be introduced to limits via graphs and tables. 2.) Learn about one-sided limits via graphs and tables 3.) Understand that a limit cannot exist without the left and right being defined and equal to each other. 4.) Examine limits on the edge of a domain ContentsPowerPoint™ presentation:
11th - 12th
Calculus
Also included in: Calculus Limits Unit Bundle Lessons, Homework, Review, and Test
Calculus - Unit 02 - Lesson 05 - Basic Trig Derivatives
This is Lesson 05 of Unit 02 of my AP Calculus course. In this lesson, students are introduced to the 6 trigonometric derivative rules. Students practice combing these rules with the product and quotient rule to find the derivative of different functions. What is included in this lesson?•Student Materials •Exit Ticket w/ Rubric •Answer Key •Power point •Scripted Lesson Plan What is SPECIAL about this lesson?My lessons follow a structure that supports students while also allowing them to discove
11th - 12th, Higher Education
Calculus, Math
AP Calculus Summer Assignment (AB or BC)
Summer assignment that reviews basic skills necessary for success in AP Calculus. Suitable for both AB and BC students! Topics covered: Parent Functions, Composite Functions, Factoring, Slopes and Linear Equations, Domain and Range, Quadratic Functions, Polynomial Functions, Exponent Rules and Properties, Rational Exponents, Radical Rules and Properties, Rational Functions, Logarithms, Properties of Logarithms, Trigonometry (Unit Circle), and basic Limits/Continuity.
11th - 12th, Higher Education
Calculus, PreCalculus
AP Calculus: Rational Functions Complete Lesson
This lesson is a review of the basic properties of rational functions with special attention given to those properties that are most relevant for calculus.
This can either be used as part of a summer assignment to help students get ready for calculus or it can be used as a review at the beginning of the school year. It could also be used as part of an "Introduction to Calculus" unit at the end of a precalculus course.
This lesson is appropriate for both AP Calculus AB and BC, as well as colle
10th - 12th, Higher Education
Calculus, PreCalculus
Also included in: AP Calculus: Functions Unit Bundle
AP Calculus: Trigonometric Functions Complete Lesson
This lesson is a review of the basic properties of trigonometric functions with special attention given to those properties that are most relevant for calculus.
This can either be used as part of a summer assignment to help students get ready for calculus or it can be used as a review at the beginning of the school year. It could also be used as part of an "Introduction to Calculus" unit at the end of a precalculus course.
This lesson is appropriate for both AP Calculus AB and BC, as well as
10th - 12th, Higher Education
Calculus, PreCalculus
Also included in: AP Calculus: Functions Unit Bundle
AP Calculus: Properties of Functions Complete Lesson
This lesson is a review of the basic properties of functions with special attention given to those properties that are most relevant for calculus.
This can either be used as part of a summer assignment to help students get ready for calculus or it can be used as a review at the beginning of the school year. It could also be used as part of an "Introduction to Calculus" unit at the end of a precalculus course.
This lesson is appropriate for both AP Calculus AB and BC, as well as college calcul
10th - 12th, Higher Education
Calculus, Other (Math), PreCalculus
Also included in: AP Calculus: Functions Unit Bundle
AP Calculus: Exponential and Logarithmic Functions Complete Lesson
This lesson is a review of the basic properties of exponential and logarithmic functions with special attention given to those properties that are most relevant for calculus.
This can either be used as part of a summer assignment to help students get ready for calculus or it can be used as a review at the beginning of the school year. It could also be used as part of an "Introduction to Calculus" unit at the end of a precalculus course.
This lesson is appropriate for both AP Calculus AB and B
10th - 12th, Higher Education
Calculus, PreCalculus
Also included in: AP Calculus: Functions Unit Bundle
AP Calculus: Polynomial Functions Complete Lesson
This lesson is a review of the basic properties of polynomial functions with special attention given to those properties that are most relevant for calculus.
This can either be used as part of a summer assignment to help students get ready for calculus or it can be used as a review at the beginning of the school year. It could also be used as part of an "Introduction to Calculus" unit at the end of a precalculus course.
This lesson is appropriate for both AP Calculus AB and BC, as well as col
10th - 12th, Higher Education
Calculus, Other (Math), PreCalculus
Also included in: AP Calculus: Functions Unit Bundle
Derivatives Graph Analysis Using Tables: Notes, Ex, Handout & Assign (Editable)
This resource includes notes, examples, handout and assignment analyzing graphs of functions using tables. Tables include: · Relative Extrema · Inflection Points · Intervals of Increase and Decrease · Intervals of Concave Upward and Concave Downward · Vertical Asymptotes Students will complete tables with: · Information about f(x) · Information about f'(x) · Information about f''(x) · Description of graph
11th - 12th, Higher Education
Calculus
AP Calculus: Derivatives of Polynomials Complete Lesson
This lesson examines a few of the simple rules for differentiating functions. Many of the rules are introduced by first asking students to guess the rule themselves. Students also get some practice in using the rules, as well as proving them. In addition, students learn to work with derivatives using tables and graphs. This lesson is appropriate for both AP Calculus AB and BC. Detailed answer keys are included. The topics covered include: -Derivative of a Constant Function -Derivative of a Co
10th - 12th, Higher Education
Calculus, PreCalculus
Also included in: AP Calculus: Derivatives Unit Bundle
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
10th - 12th
Calculus, Math
Also included in: Calculus AB Resources (discounted bundle)
AP Calculus: Derivatives of Trigonometric Functions Complete Lesson
This lesson develops the rules for calculating the derivatives of the six basic trigonometric functions: sine, cosine, tangent, cotangent, secant, cosecant. Students learn to use the product and quotient rules to find trigonometric derivatives. There are also several problems that apply trigonometric derivatives to tangent lines. This lesson is appropriate for both AP Calculus AB and BC. Detailed answer keys are included. The topics covered include: -Derivative of Sine -Derivative of Cosine -C
9th - 12th, Higher Education
Calculus, Math
Also included in: AP Calculus: Techniques of Differentiation Unit Bundle
Calculus: 10 - Parametric and Polar Functions, their derivatives and Polar Area
In this download, you will find everything you need to teach the basics of parametric and polar functions, converting from polar to parametric, derivatives, speed and arc length of parametric functions, and finding the area enclosed by a polar function. The notes are tailored to be quick to teach, with filled in notes for absent students. The notes have a matching powerpoint. The homework are short, front and back of a page. The homework answers are detailed, so that you could post on canvas f
11th - 12th, Higher Education
Calculus, Math, Math Test Prep
Also included in: Calculus BC notes, hw, warm ups and practice quizzes
Trigonometry Finding Angles PowerPoint | SOH CAH TOA Inverse Trig Lesson
Teach students how to find unknown angles in right-angled triangles using SOH CAH TOA and inverse trigonometric functions with this clear, scaffolded PowerPoint lesson. This resource is designed to help students move from reviewing basic trigonometry ratios to confidently setting up trig equations and using a calculator to find missing angles. It includes step-by-step worked examples, calculator guidance, practice questions, worded problems, and challenge questions. Students will practise ide
5th - 12th, Adult Education, Higher Education
Calculus, Geometry, Other (Math)
Worksheet: Differentiation from First Principles
This is a one-page worksheet with seven functions for finding the derivative using the limit definition of the derivative (first principles). Formula included on the worksheet. Functions are basic polynomial, radical, and rational functions.
11th - 12th
Calculus, Math, PreCalculus
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
10th - 12th
Calculus, Math
Also included in: Calculus AB Resources (discounted bundle)
Applications of Derivatives Unit
Bundle of resources for an AP Calculus level Unit on Applications of Derivatives. Includes the following (note that all resources can be edited, equations may require MathType): 13 full lessons:Extreme Values of FunctionsIncreasing and Decreasing IntervalsLocal ExtremaConcavityPoints of InflectionGraphical AnalysisMean Value TheoremLinearizationDerivatives of InversesL'Hospital's RuleMotionRelated Rates (Basic)Related Rates (Advanced)Each lesson includes:PowerPoint presentation for the lesson it
9th - 12th
Calculus, Math Test Prep, PreCalculus
Basic Differentiation Bundle
This is a superb 3 LESSON bundle on different aspects of Basic Differentiation. Each lesson comes with superb slides as well as activities, questions and worksheet. This bundle includes the following lessons: Lesson 1 - Introduction and Basics Lesson 2 - Gradients, tangents and Gradient Functions Lesson 3 - 2nd Differential, Stationary or Turning Points ALL LESSONS for teaching all the different topics of ALGEBRA are available as one BIG BUNDLE in the link below: Algebra: ALL LessonsALSO: 1. P
9th - 12th, Higher Education
Algebra 2, Calculus, Graphing
Parametric, Vector and Polar Functions (Calculus) Unit
Bundle of resources for an AP Calculus level Unit on Parametric, Vector and Polar Functions. Includes the following (note that all resources can be edited, equations may require MathType): 5 full lessons:Parametric FunctionsArc LengthVectorsPolar Functions - Slope and Basic AreaPolar Functions - Advanced AreaEach lesson includes:PowerPoint presentation for the lesson itselfWord Guided Notes to go with lessonWord handouts for at least one homework assignment plus 1 to 6 extra practice problem set
9th - 12th
Calculus, Math Test Prep, PreCalculus
AP Calculus Quarter 2 - Powerpoint Lessons, Notes & Worksheets
This is the 2ND QUARTER of the entire full year of powerpoint presentation lessons, notes, worksheets and google slides activities. Some things have answer keys and other don't. AP Calculus Course Curriculum Content:Unit 2 Differentiation: Defining and Basic Derivative Rules2.1 Defining Average and Instantaneous Rates of Change at a Point 2.2 Defining the Derivative of a Function and Using Derivative Notation 2.3 Estimating Derivatives of a Function at a Point 2.4 Connecting Differ
9th - 12th
Calculus
204 Chain Rule Intro Derivatives Calculus PowerPoint & Google Form
This PowerPoint™ presentation introduces the Chain Rule and has 9 examples and 14 homework problems that can be given to your calculus students as a worksheet or as a self-grading google form. This presentation begins with a warm-up about compositions then goes into basic chain rule problems followed by ones with 3 links. Chain rule with given values and graphs are next. Students are then led into a proof for the derivative of aˣ using the chain rule. * The hokey language of mother and baby fun
11th - 12th, Higher Education
Calculus
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