Function Notation
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Sets of Numbers Foldable - Set-Builder and Interval Notation Notes and Practice
This foldable is intended to introduce students to or reinforce their understanding of set-builder and interval notation for sets of numbers, whether they use them as solutions to equations or inequalities or for writing the domain and range of a function. There are examples of each type as well as an explanation of what the notation means. This resource comes with sample interactive notebook pages to help you best use the foldable, but it can also be used in a standard notebook or binder. Th
9th - 12th
Algebra 2, Calculus, PreCalculus
Function Transformations Rule Sheet
Help your students keep function transformations from feeling overwhelming with this clear, student-friendly, and classroom-tested Function Transformations Rule Sheet. This resource works best near the end of a transformations unit as a summary/reference sheet students can use while combining common function transformations. Each transformation is explained in plain language with notation, visual examples, and algebraic examples so students can clearly see how translations, reflections, stretche
10th - 12th
Algebra 2, Calculus, PreCalculus
CCSS
HSF-IF.C.7
, HSF-BF.B.3
Calculus Notes: Derivative Notation and Basic Rules of Differentiation
A set of Calculus notes with an intro to derivative notation, basic rules of differentiation (constant multiplier, sum and difference, power rule, etc.), and derivatives of common functions (sin(x), cos(x), e^x, and ln(x)), as well as appropriate practice problems.
10th - 12th
Calculus, Math, PreCalculus
Also included in: Calculus Notes Bundle: Derivatives Introduction Unit
IntervaI Practice | Intervals for Increasing, Decreasing, Constant from a Graph
Clear up common interval notation misconceptions! Students connect intervals to x values and graphical representation of a function. Watch the lightbulb turn on with this activity. It works great as a warm-up, exit ticket, or short tutorial when students need a little extra practice reading graphs and thinking through function behavior. Students will practice: Determining where a graph is increasing, decreasing, or constantWriting answers in interval notationBuilding confidence with graph interp
9th - 12th, Higher Education
Algebra, Algebra 2, Calculus
Interpreting the Graph Activity for Pre-Calculus Functions Unit
It is important for students to be able to read and to write using function notation and to be able to compare two functions on a graph. This activity allows students to read statements written only in function notation and be tasked with illustrating the statement in a given graph. For the quadratic function and cosine function shown, students are asked 9 questions about f(x) and g(x), including to determine the domains on which one is greater than the other. This activity is a follow up to th
10th - 12th
Algebra 2, Calculus, PreCalculus
CCSS
HSF-IF.A.2
, HSF-IF.B.5
, HSF-IF.C.7
+1
Combining and Transforming Functions Notes
These notes are intended as an introduction to calculus basics. They cover the following topics: function notation, combining functions through adding, subtracting, multiplication, and division, word problems, composition of functions with functions, tables, and graphs, and transformation of functions. Please let me know if you would like an editable copy too.
10th - 12th
Calculus, Math, PreCalculus
CCSS
HSF-IF.A.2
, HSF-BF.A.1b
, HSF-BF.A.1c
+1
Lesson 1.1: Limits & Continuity Guided Notes
These notes begin with a warm up problem in which students are asked to evaluate a rational function at different x-values. One value results in an undefined value at a vertical asymptote. After the warm-up, students are introduced to limit notation, how to evaluate limits using graphs of functions or direct substitution, one-sided limits, and the difference between removable and non-removable discontinuities.
11th - 12th, Higher Education
Calculus
Also included in: Unit 1: Limits & Continuity Guided Notes & Quiz
Functions and Their Representations Notes
These notes are intended as an introduction to calculus basics. They cover the following topics: definition of a function, representing functions algebraically and graphically, function notation, domains of functions, and piecewise defined functions, and even and odd functions. Please let me know if you would like an editable copy too.
10th - 12th
Calculus, Math, PreCalculus
CCSS
HSF-IF.A.1
, HSF-IF.A.2
, HSF-IF.B.5
+3
Introduction to Derivatives | Calculus Guided Notes & Video Lesson
Introduction to derivatives lesson for Calculus with guided notes, homework, and video lesson. Teach the tangent line problem, definition of derivative, derivative notation, and tangent and normal lines.This is one lesson from my Calculus Unit 2 – Derivatives and Applications curriculum. It includes guided notes, homework practice, a full video lesson, and detailed step-by-step answer keys to support student understanding. This lesson is designed for a guided, non-AP Calculus course and works we
11th - 12th, Higher Education
Calculus, Math
Lesson 2.1 Differentiation & Equation of a Tangent Line
Students begin by completing a warm-up problem in which they need to use the limit definition to evaluate the derivative of a function at a particular x-value. Then, students will learn basic derivative rules including the power rule, constant rule, scalar multiple rule and sum rule. Next students are given different derivative notations and how to demonstrate higher order derivatives notationally. Finally, students will learn how to find the equation of a line tangent to a point on a functio
11th - 12th, Higher Education
Calculus
Also included in: Unit 2: Derivatives Guided Notes & Quiz
Implicit Differentiation Practice Worksheet 2 + Quiz - AP Calculus Derivatives
This resource, for Calculus (used in AP Calculus AB), is an implicit differentiation practice handout on finding the first derivative of a implicitly defined function. This is worksheet #2; the 12 practice problems include dy/dx notation, tangent and normal line equations, product rule, sine, cosine, tangent, and radical functions. There is also a 4 question exit ticket included. Three versions of the same file are provided and labeled as Exit Ticket, Quick Check, and Quiz to fit a variety of cl
9th - 12th, Higher Education
Calculus, Math
Trigonometric Limits Exploration, Notes,Examples, Handouts,Assignment, & Answers
A short graphical and numerical exploration is included to help develop the trigonometric limit formulas.The introduction relies on experience with using the graphing calculator to graph a function and find limits numerically using tables.I use the TI-84 Plus CE.Occasionally I have to explain the calculator notation … means Extensions of the limits above are also included.Completely worked out examples with commentary are included.An optional handout for students is included for the exploration
11th - 12th, Higher Education
Calculus, PreCalculus
Also included in: Limits Unit - Calculus Bundle
Antiderivatives and Definite Integrals | Calculus Guided Notes & Video Lesson
Antiderivatives and Definite Integrals | Calculus Guided Notes & Video LessonAntiderivatives and definite integrals lesson for Calculus with guided notes, homework, and video lesson. Teach indefinite integrals, definite integrals, integral notation, velocity, acceleration, and position functions.This is one lesson from my Calculus Unit 4 – Integration and Applications curriculum. It includes guided notes, homework practice, a full video lesson, and detailed step-by-step answer keys to support st
11th - 12th, Higher Education
Calculus, Math
Calculus Notes - The derivative and the tangent line problem (part 2 of 3))
This is a continuation of my notes from 2.1. This set continues using the limit process to find the derivative of a few different function types including polynomial, rational, and root functions. Additionally, derivative notation is introduced such as f'(x), dy/dx, etc. There are a total of 8 exercises/practice problems, which take a good amount of time to get through as the limit process is a bit time consuming.
11th - 12th
Calculus
Grade 11 Functions MCR3U Math Ch1 Introduction Lesson Notes Worksheets (Full)
In-class notes to demonstrate each answer step by step Answers to the lesson notes are available upon request The product includes lesson notes and practices on the following topics: Domain and RangeFunction NotationMaximum and Minimum point(s) of Quadratic FunctionsRadicals Solving Quadratic EquationsDetermining Quadratic EquationsDetermining Quadratic EquationsSolving Linear-quadratic SystemsThe notes are suitable for Grade 11 Functions based on Textbook: Nelson (and/or)McGraw-Hill__________
10th - 12th, Higher Education
Algebra 2, Calculus, PreCalculus
Differentiation Rules Guided Notes
This comprehensive guided notes provide a step-by-step guide to understanding and mastering the basic rules of differentiation. Student will learn to apply the constant rule, power rule, constant multiple rule, sum rule, and different rule in order to find the derivative of functions. Then students are introduced to the various differentiation notation. Lastly, student learn to find higher order derivatives. This guided notes activity includes everything you need to teach your students about
10th - 12th, Higher Education
Calculus, Math
Also included in: Full-Year Calculus Curriculum - AP Calculus Growing Mega Bundle
Calculus AB Unit 6 Notes: Guided Notes, Examples, End-of-Section Practice
This resource is a set of Calculus AB Unit 6 guided notes designed for students in a Calculus AB class or similar introductory calculus course. It includes worked examples and unworked examples (teacher-led or for student practice). All sections but one include a Section Practice with 1 MCQ and 1 single-part FRQ. Topics IncludeAccumulation of changeRiemann Sums and the Trapezoidal RuleRiemann Sums in sigma notationThe Fundamental Theorem of Calculus Parts (1 & 2)Behavior of accumulated functions
10th - 12th
Calculus
Integration and Accumulation of Change (AP Calculus AB - Unit 6)
Integration and Accumulation of Change Calculus Unit Bundle:This is a bundle with guided notes, PowerPoints aligned with the guided notes, additional practice (homework), 2 mid-unit quizzes, unit test, unit review, and unit pacing guide for Integration and Accumulation of Change Calculus (Unit 6). This unit contains 7 lessons. Lesson 6.1: Finding Antiderivatives and Indefinite IntegralsLesson 6.2: Approximating Areas with Riemann SumsLesson 6.3: Riemann Sums, Summation Notation, and Definite In
10th - 12th
Calculus, Math
Also included in: AP Calculus AB Semester 2 Bundle Units 6-8
Domain Restrictions (Advanced)
This activity requires NO PREP. Student and teacher documents included.
DON'T HATE BUT PLEASE RATE (this activity)
It is a riddle worksheet. Students have an answer bank and they use that to solve a (slightly cheesy) joke. They like this activitiy because it makes the math meaningful and FUN. Teachers like it because the answer bank gives students a self-assessment tool.
Because of the student answer bank and answer sheet for adults, this activity is great for homeschool and special educatio
9th - 12th, Higher Education
Algebra 2, Calculus, PreCalculus
AP CALCULUS AB- UNIT 2 STUDY GUIDE DIFFERENTIATION (AP CALCULUS EXAM REVIEW)
Need an effective and relevant way to help your AP Calculus students study for the AP Calculus AB Exam? This ready-to-print study guide makes reviewing essential Unit 2 Differentiation Definition and Basic Derivative Rules convenient, while reinforcing content needed to pass an assessment on Unit 2 and to pass the AP Exam! What's Included:This study guide contains essential theorems, definitions, formulas, and examples.It includes a key in the PDF for easy reference.This study guide includes con
9th - 12th, Higher Education
Calculus
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