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Preview of Expansive Sequences and Series Lesson

Expansive Sequences and Series Lesson

Created by
Kendon Black
This is a thorough lesson on sequences and series. Although it does not include all of the convergence tests. (Those are in the next document.) The document focuses on definitions of various terms, types of series, and there properties. It includes 18 example problems. Topics tackled include sequence notation, series notation (summation notation), writing the terms of a sequence given the definition and vice versa, recursively-defined sequences, bounds, increasing/decreasing/non-increasing/non-d
Preview of Differentiation

Differentiation

Created by
hong wang
Apply differentiation to gradients, tangents and normals, increasing and decreasing functions and rates of change (including connected rates of change);locate stationary points, and use information about stationary points in sketching graphs (the ability to distinguish between maximum points and minimum points is required, but identification of points of inflexion is not included). The unit includes: 1) The Limit & Differentiation 2) The Derivative and Tangent Line Problem 3) Basic Differenti
Preview of Functions and Their Properties Advanced Math/Pre Calculus  Mini Lesson

Functions and Their Properties Advanced Math/Pre Calculus Mini Lesson

This SmartBoard mini lesson includes determining if a relation is a function, function notation, implied vs relevant domain, findng the domain and range of a function, continuity and types of discontinuity, increasing and decreasing functions, boundedness, local extrema, even and odd functions, identifying asymptotes,and using limit notation,
Preview of Curve Sketching Lecture (Differential Calculus 1 Lesson Notes)

Curve Sketching Lecture (Differential Calculus 1 Lesson Notes)

This handout is meant as an in-class activity for curve sketching in a differential calculus course. The first few pages contains a review of curve sketching. The curve sketching topics covered are: domainx,y interceptshorizontal asymptotes (using limits)vertical asymptotes (using limits)increasing/decreasing (using first derivative)local max/min (first derivative test)concavity (using the second derivative)inflection pointssketch the graph of the function using all the above informationThe r
Preview of Curve Sketching with Calculus | Master Graphing with Derivatives & Sign Charts

Curve Sketching with Calculus | Master Graphing with Derivatives & Sign Charts

Help your students translate algebra into visual geometry!Curve Sketching requires students to synthesize the First and Second Derivative Tests, proving they understand the difference between a function's direction and its concavity. This turnkey curriculum module doesn't just stick to equations—it actively challenges students to read graphs of $f'(x)$ and $f''(x)$ directly, a heavily tested concept on the AP Exam. Perfect for AP Calculus exam prep or comprehensive sub plans.What’s Included:The
Preview of Grade 12 Advanced Functions MHF4U Math Ch2 Inequalities Lesson Notes Worksheets

Grade 12 Advanced Functions MHF4U Math Ch2 Inequalities Lesson Notes Worksheets

Created by
Charlene Math
The lesson notes provide learning goals for each subtopic which I find quite useful to students. I usually demonstrate an example to students and then let them work on similar questions. We will then take up the questions in class. The product includes LESSON NOTES and PRACTICES on the following topics: Polynomial equations and inequalities Review of factoring and GAMERemainder Theorem, Factor theorem, Polynomial equations, Families of functions, Solve factorable polynomial inequalities alge
Preview of Derivatives Practice PowerPoint with Practice Problems

Derivatives Practice PowerPoint with Practice Problems

This PowerPoint presentation was one that I used to review derivatives with a group of Differential Calculus students. It goes over basic differentiation rules with some helpful visual aides. It includes an old quiz and a brief homework assignment. There are also a few bonus slides at the end in case the lecture is not as long as desired.
Preview of Grade 12 Advanced Functions MHF4U Math Ch1 Polynomial Lesson Notes Worksheets

Grade 12 Advanced Functions MHF4U Math Ch1 Polynomial Lesson Notes Worksheets

Created by
Charlene Math
The lesson notes provide learning goals for each subtopic which I find is quite useful to students. I usually demonstrate an example to students and then let them work on similar questions. We will then take up the questions in class. The product includes lesson notes and practices on the following topics: Polynomial functions Characteristics of polynomial functionsEquations and graphs of polynomial functionsTransformationsSlopes of secants and tangentsIt also comes with THREE QUIZZES.The no
Preview of Chain Rule / u-Substitution for Derivatives Notes and Bookmark

Chain Rule / u-Substitution for Derivatives Notes and Bookmark

These notes cover finding derivatives using the chain rule (u-Substitution for derivatives). There is also a "cheat sheet" that you can print 2 pages to 1, then copy front to back. It will make 4 bookmarks (for the interactive journal) for your students. I used cardstock and my students found it helpful to just pull that out when they needed it. There is another product in the Texmathlete store that includes the bookmark and 7 "formula quizzes" to give the students. Mine did not need to know 10
Preview of Sets of Numbers Foldable - Set-Builder and Interval Notation Notes and Practice

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
Preview of AP Calc. AB Limits Unit 1.1- 1.6 Bundle | Guided Notes, Homework, Videos & Test

AP Calc. AB Limits Unit 1.1- 1.6 Bundle | Guided Notes, Homework, Videos & Test

AP Calculus AB Limits Unit Bundle (1.1-1.6) | Notes, Practice, Test Prep & Unit Review Save valuable planning time with this comprehensive AP Calculus AB Limits Unit covering Topics 1.1-1.6 of the College Board AP Calculus AB curriculum. This ready-to-use resource provides everything you need to teach the foundational concepts of limits while preparing students for success on the AP Exam. Each lesson includes guided notes with embedded QR code video instruction, skill practice assignments, and
Preview of Differentials & Linear Approximation Lesson | Calculus PPT + Practice Questions

Differentials & Linear Approximation Lesson | Calculus PPT + Practice Questions

Created by
STEMora
Help your students master differentials and linear approximation with this clear, scaffolded, and engaging lesson designed for Year 11 Maths Methods / introductory calculus. This resource builds understanding from first principles through to application, helping students confidently use dy=f′(x)dx to estimate changes and approximate values. 🔹 What’s Included: ✔ Step-by-step PowerPoint lesson (intro → worked examples → applications) ✔ Visual diagrams (tangent line, dxdxdx, dydydy, and c
Preview of Energy, Momentum and the Conservation Laws (ppt & pdf)

Energy, Momentum and the Conservation Laws (ppt & pdf)

This collection of materials supports an Advanced Placement Physics of Mechanics with Calculus course. The focus of this unit is on Mechanical Energy, Momentum and the Conservation Laws of Physics. The materials contain 14 presentations in power point (.ppt) and in portable document format (.pdf). The presentations are designed to spark discussion, thought and insights to help students engage and master the material needed to do well on the exam. There are 514 slides, an estimation activity wi
Preview of MULTIVARIABLE CALCULUS: VECTOR VALUED FUNCTIONS TANGENT VECTORS & NORMAL VECTORS

MULTIVARIABLE CALCULUS: VECTOR VALUED FUNCTIONS TANGENT VECTORS & NORMAL VECTORS

MULTIVARIABLE CALCULUS: VECTOR VALUED FUNCTIONS TANGENT VECTORS & NORMAL VECTORS NOTES & SOLVED EXAMPLES SMART NOTEBOOK AND PDF FORMATS
Preview of INTRODUCTION TO DERIVATIVES & ANTIDERIVATIVES

INTRODUCTION TO DERIVATIVES & ANTIDERIVATIVES

Created by
STEM Creations
This lesson is intended to provide a general overview of the concepts of differentiation and integration. Knowledge of these concepts is required for students enrolled in AP Calculus AB or BC, Calculus Honors, or College Calculus. Differentiation is the process of computing (finding) derivatives. A derivative is also called the instantaneous rate of change. It is also called the slope of the tangent line to a curve at a given point. The derivative of an equation tells us the rate of change (de
Preview of Grade 11 Functions MCR3U Math Ch6 Sequence & Series Lesson Notes Worksheets

Grade 11 Functions MCR3U Math Ch6 Sequence & Series Lesson Notes Worksheets

Created by
Charlene Math
The lesson notes provides learning goals for each subtopic which I find is quite useful to students. I usually demonstrate an example to students and then let them work on similar questions. We will then take up the questions in class. The product includes lesson notes and practices on the following topics: Arithmetic SequencesGeometric SequencesRecursive SequencesCreating sequencesArithmetic SeriesGeometric SeriesRelationship between Pascal's Triangle and Binomial ExpansionsThe notes are su
Preview of Extreme Values: Maximums, Minimums, and Critical Numbers

Extreme Values: Maximums, Minimums, and Critical Numbers

Created by
Michele Cubed
This is topic 25 in my AP Calculus curriculum. This PowerPoint guides students through the definitions of absolute extrema and realative extrema. Students also learn how to find the extrema and critical values of a function. You may either have students go through the PowerPoint on their own or you may do it as a whole class. It is best used with the corresponding notes that I have created for it.
Preview of MULTIVARIABLE CALCULUS: CHANGE OF VARIABLES - JACOBIANS NOTES & SOLVED EXAMPLES

MULTIVARIABLE CALCULUS: CHANGE OF VARIABLES - JACOBIANS NOTES & SOLVED EXAMPLES

MULTIVARIABLE CALCULUS: CHANGE OF VARIABLES - JACOBIANS NOTES & SOLVED EXAMPLES SMART NOTEBOOK AND PDF FORMATS
Preview of MULTIVARIABLE CALCULUS: SURFACE AREA NOTES & SOLVED EXAMPLES

MULTIVARIABLE CALCULUS: SURFACE AREA NOTES & SOLVED EXAMPLES

MULTIVARIABLE CALCULUS: SURFACE AREA NOTES & SOLVED EXAMPLES SMART NOTEBOOK AND PDF FORMATS
Preview of Parabola and Parabolic Mirrors (Derivation of Mirror Equations)

Parabola and Parabolic Mirrors (Derivation of Mirror Equations)

Created by
ARIF ERKOCA
PARABOLA and PARABOLIC MIRRORSConcave and Convex mirrors are often used in optics labs. In this 15 page paper, I derive the parabolic mirror equations (for both concave and convex mirrors). The definition of a parabolic curve is given, different types of parabolic curves are contrasted. The reflections of light rays from the interior and exterior surfaces of parabolic surfaces are studied in detail. Mirror equations are derived by using the "thin mirror approximation". The nature of the images
Preview of Pi Day Experiment, History, and Simple Applications

Pi Day Experiment, History, and Simple Applications

This download is a bundle of 3 products: A simple, hands-on experiment for students to discover the value of pi, A brief but extensive history of pi, and Two simple application examples including using pi to find your hat size.The experiment is simple enough for middle school students to complete easily. All each student needs is a round object (a cup, plate, roll of tape, etc.), a string, and a ruler (or a tape measure). The history notes include developments in Egypt, China, India, as well
Preview of Calculus Guided Notes - Teacher Edition

Calculus Guided Notes - Teacher Edition

Limits, Derivatives & Integrals: These are fully completed, instructor-ready guided notes covering the core topics of a standard Calculus I course that provide clear written explanations, mathematically accurate notation, and fully worked examples to support lecture preparation and instructional consistency. These notes follow the structure and progression of Stewart Calculus: Early Transcendentals and align closely with content covered on the AP Calculus AB and BC exams, making them suitable f
Preview of AP CALCULUS BC - SURFACES OF REVOLUTION

AP CALCULUS BC - SURFACES OF REVOLUTION

AP CALCULUS BC - SURFACES OF REVOLUTION NOTES & SOLVED EXAMPLES SMART BOARD AND PDF FORMATS
Preview of Pre-Calculus: Equation of Circle Powerpoint Lecture

Pre-Calculus: Equation of Circle Powerpoint Lecture

This 16-slide PowerPoint presentation is a comprehensive and student-friendly resource designed to introduce and reinforce the Equation of a Circle for Pre-Calculus learners. It begins with a clear introduction and definition of a circle, followed by detailed lessons on the standard form and general form of the equation of a circle. Students are guided through step-by-step examples on how to convert between the two forms and how to graph each accurately. Every concept is broken down with de
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