Function Notation
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1.2 - Function Notation f(x) (MCR3U Grade 11 Functions / Pre-Calculus)
Ontario Curriculum Expectations:A1.2 - represent linear and quadratic functions using function notation, given their equations, tables of values, or graphs, and substitute into and evaluate functions.
11th
Algebra, Calculus, PreCalculus
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
Comparing Exponential Functions – Algebra 2 Notes, Practice, Video Support & Key
📐 Algebra 2: Comparing Exponential Functions Advanced Practice, Notes, Video Support & Answer Keys This resource is designed for higher-level high school Algebra students and focuses on deep conceptual understanding of exponential functions. Students analyze how exponential functions compare to their parent functions, evaluate transformations, determine intersections, and reason about long-term behavior. Lessons emphasize mathematical justification, not just computation. Students explain how c
10th - 12th
Algebra, Algebra 2, Calculus
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
Limits - 8 exercises with graphs
These exercises are for developing an understanding of limit and function notation. Please feel free to copy/paste them into your homeworks, lessons, or assessments.
10th - 12th
Calculus, PreCalculus
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
AP Calculus AB: Formal Derivative and its Definition Notes
Students will learn the formal limit definition of the derivative and use it to evaluate derivatives. Students will be introduced to the notation of left and right hand derivatives as well as evaluating them. Students will be able to justify whether a function is differentiable.
12th
Calculus
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
Calculus Notes Bundle: Derivatives Introduction Unit
A set of Calculus notes with an intro to average rate of change, instantaneous rate of change, the limit definition of a derivative, derivative notation, basic rules of differentiation, derivatives of common functions, the mean value theorem, differentiability, and the product, quotient, and chain rules, as well as appropriate practice problems.
10th - 12th
Calculus, Math, PreCalculus
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
AP Calculus Summer Homework and Prerequisite Quiz Bundle
This product contains my AP Calculus AB Summer Homework, Examples and Explanations, and Prerequisite Quiz. All of these items cover the following topics: Slope, Point-Slope Form, Slope-Intercept FormParallel and Perpendicular LinesFunction Notation and CompositionFactoring Quadratics and CubicsLong and Synthetic DivisionRadicals and Rational ExponentsRationalizing ExpressionsRational Functions: Simplifying, Domain, Range, and AsymptotesComplex FractionsProperties of Logarithms and ExponentialsUn
11th - 12th, Higher Education
Calculus
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
AP Calculus AB Derivatives Unit
This bundle includes the whole unit on Derivatives as seen on the AP Calculus AB exam. All files come in word and PDF. Students will learn the formal limit definition of the derivative and use it to evaluate derivatives. They will be introduced to the notation of left and right hand derivatives as well as evaluating them. Students will justify whether a function is differential. They will learn the derivative rules including the product, quotient, and chain rule. Students will be able to u
12th
Calculus
Implicit Differentiation Introduction Guided Notes - Calculus Derivatives
This resource, for Calculus (used in AP Calculus AB), is an introduction to implicit differentiation. These guided notes include 3 review questions, steps, and 6 examples with color coded step-by-step solutions. These notes include: 3 review questions: 1 basic power rule derivative with x, one function in which you can use product rule or distribute out first, and of two simple polynomial functions, and one function in which you solve for y firstDetailed implicit differentiation steps6 examples
9th - 12th, Higher Education
Calculus, Math
Also included in: Implicit Differentiation Introduction Notes & Practice Worksheet BUNDLE
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