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
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
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
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
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
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
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
Pre-Calculus Review for Calculus (Annotated Lectures)
Use the following resources to help your students brush up on their Pre- Calculus skills as they begin to take on the challenge that is Calculus. The following file includes Annotated 2 slides lectures to be used as a guide for your instruction. The first on basic functions and their characteristics such as domain and range, transformations, piecewise functions, compositions, and notation. It is a lot and if it helps, I did split this first introductory lecture across two 45 min class periods. T
12th, Higher Education
Calculus, PreCalculus
Integration Guided Notes (Unit 6 AP Calculus AB)
⭐⭐ This AP Calculus Unit 6 Guided Notes Bundle provides you with a customizable and fully-editable resource of guided notes that cover the topics for Integration-The Accumulation of Change.⭐⭐ The unit covers all 10 topics stated in the College Board Course Framework (CED) divided into 8 lessons. ✅ Learning Objectives Include: Approximating Area With Riemann Sums (5 pages) Sigma Notation and Riemann Sums (6 pages) Accumulation Functions (5 pages) Properties of Definite Integrals (5 page
10th - 12th, Higher Education
Calculus, Math
Also included in: Integration Essentials (Unit 6 AP Calculus AB)
Integration Guided Notes (Unit 6 AP Calculus BC)
⭐⭐ This AP Calculus Unit 6-BC Guided Notes Bundle provides you with a customizable and fully-editable resource of guided notes that cover the topics for Integration-The Accumulation of Change.⭐⭐ The unit covers all 14 topics stated in the College Board Course Framework (CED) divided into 11 lessons. ✅ Learning Objectives Include: Approximating Area With Riemann Sums (5 pages) Sigma Notation and Riemann Sums (6 pages) Accumulation Functions (5 pages) Properties of Definite Integrals (5
11th - 12th, Higher Education
Calculus, Math
Also included in: AP Calculus BC Big Bundle 2nd Semester | Flamingo Math
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
AP Physics C Algebra + Calculus Review: Editable Powerpoint Presentation
Need to review Algebra and Calculus concepts for your AP Physics C students at the start of the year? Have students in AP Physics C that have not learned integrals or derivatives in calc class yet? This editable presentation includes all the information your students will need to be successful in AP Physics C. What's Included?28 Slide Editable Powerpoint PresentationWhat Content is Covered?Math as a Model Algebra Rules for Isolating a Variable Solving Systems of Equations Newton and Leibniz Hi
10th - 12th, Higher Education
Applied Math, Calculus, Physics
Also included in: AP Physics C Algebra + Calculus Review: Unit Bundle
Integration Essentials (Unit 6 AP Calculus BC)
⭐⭐ This AP Calculus-BC Unit 6 Essentials Bundle provides you with a customizable and fully-editable resource of Guided Notes, Video Lessons, Google Slides, practice/homework sets, and a daily content quiz that cover the topics for Integration-The Accumulation of Change. ⭐⭐ What is included in this resource?⭐ Guided Student Notes ⭐ Google Slides® ⭐ Homework/Practice assignment ⭐ Content quizzes (4 different forms for each lesson) ⭐ Video Lesson Link for Distance Learning - Flipped Classroo
11th - 12th, Higher Education
Calculus, Math
Integration Essentials (Unit 6 AP Calculus AB)
⭐⭐ This AP Calculus-AB Unit 6 Essentials Bundle provides you with a customizable and fully-editable resource of Guided Notes, Video Lessons, Google Slides, practice/homework sets, and a daily content quiz that cover the topics for Integration-The Accumulation of Change. ⭐⭐ What is included in this resource?⭐ Guided Student Notes ⭐ Google Slides® ⭐ Homework/Practice assignment ⭐ Content quizzes (4 different forms for each lesson) ⭐ Video Lesson Link for Distance Learning - Flipped Classro
10th - 12th, Higher Education
Calculus, Math
AP Physics C Math Review Notes
Need to review Algebra and Calculus concepts for your AP Physics C students at the start of the year? Have students in AP Physics C that have not learned integrals or derivatives in calc class yet? These scaffolded, outline notes are perfect to prepare your AP students for success in class. What's Included?Teacher Unit Plan Daily Lesson plans aligned to College Board, NGSS, and Common Core.Possible student misconceptions and methods of addressing those issues. Lesson introductions/warmups. B&W,
9th - 12th, Higher Education
Calculus, Physics
Also included in: AP Physics C Algebra + Calculus Review: Unit Bundle
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