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Calculus teacher manuals for homeschool

Preview of MCV4U, Grade 12 Calculus and Vectors, Book 1 (Lessons, Tests, Exam Review)

MCV4U, Grade 12 Calculus and Vectors, Book 1 (Lessons, Tests, Exam Review)

Created by
Renee Northrup
Grade 12 Calculus and Vectors, MCV4U, Complete Course!* Lessons, Practice Tests, Exam ReviewBook 1 : Vectors (Units 1 - 3)*See also Book 2: Calculus (Units 4 - 7)Offering a teacher-created course pack to help students complete and master the Ontario curriculum in Grade 12 Calculus and Vectors (MCV4U). These are the lessons, homework questions, practice tests and exam review materials that I have used in my own classroom for over a decade. Teachers, parents, tutors and students alike love this re
Preview of Finite Mathematics and Applied Calculus 8th Edition by Stefan Steven TEST BANK

Finite Mathematics and Applied Calculus 8th Edition by Stefan Steven TEST BANK

Created by
Scholar Friends
TEST BANK for Finite Mathematics and Applied Calculus 8th Edition by Stefan Waner; Steven Costenoble.TABLE OF CONTENTSCHAPTER 1: Functions and ApplicationsCHAPTER 2: Nonlinear Functions and ModelsCHAPTER 3: Mathematics of FinanceCHAPTER 4: Systems of Linear Equations and Matrices CHAPTER 5: Matrix Algebra CHAPTER 6: Linear Programming CHAPTER 7: Sets and Counting CHAPTER 8: Probability CHAPTER 9: Random Variables and Statistics CHAPTER 10: Introduction to the Derivative CHAPTER 11: Techniques o
Preview of The Elements of Advanced Mathematics 4th Edition by Steven SOLUTIONS MANUAL

The Elements of Advanced Mathematics 4th Edition by Steven SOLUTIONS MANUAL

Created by
Scholar Friends
SOLUTIONS MANUAL for Manual for The Elements of Advanced Mathematics 4th Edition by Steven G. Krantz TABLE OF CONTENTS:Chapter 1: Basic Logic. Chapter 2: Methods of Proof. Chapter 3: Set Theory. Chapter 4: Relations and Functions. Chapter 5: Axioms of Set Theory, Paradoxes, and Rigor. Chapter 6: Number Systems. Chapter 7: More on the Real Number System. Chapter 8: A Glimpse of Topology. Chapter 9: Elementary Number Theory. Chapter 10: Zero-Knowledge Proofs and Cryptography.
Preview of For time t ≥ 0, the velocity of a particle moving along the x-axis is given by

For time t ≥ 0, the velocity of a particle moving along the x-axis is given by

Created by
Scholar Friends
For time t ≥ 0, the velocity of a particle moving along the x-axis is given by v(t) = x3 - 3x2 + x. The initial position of the particle at time t = 0 is x = 3. Which of the following gives the total distance the particle traveled from time t = 0 to time t = 4?Question 2What is the average value ofon the closed interval [1, 3]?Question 3Which definite integral represents the area of the region that is bounded by 3x + 3y2 = 0 and y = 2x + 1?Question 4A certain mosquito population changes at the r
Preview of Grade 12 Advanced Functions MHF4U Math Lesson Plans

Grade 12 Advanced Functions MHF4U Math Lesson Plans

Created by
Miriam's Math
The lesson plan covers the following topics:1. Polynomial functionsCharacteristics of polynomial functions, Equations and graphs of polynomial functions, Transformations, Slopes of secants and tangents2. Polynomial equations and inequalitiesRemainder Theorem, Factor Theorem, Polynomial equations, Families of functions, Solve factorable polynomial inequalities algebraically3. Rational functionsReciprocal of a linear function, Reciprocal of a quadratic function, Rational function of the form f(x)
Preview of Integral Calculus Lessons: 5 Integration Techniques (Filled + Scaffolded Lesson)

Integral Calculus Lessons: 5 Integration Techniques (Filled + Scaffolded Lesson)

This bundle contains 5 lecture files (all pdf) covering the following integration techniques: Substitution Rule (also known as u-substitution) Integration by PartsTrigonometric IntegralsTrigonometric SubstitutionIntegration by Partial Fractions Decomposition+ Bonus file: Power Rule Backwards worksheetThe scaffolded notes can be photocopied on a transparency (or projected onto a document camera) and filled out in class by the teacher (and to be copied by the students). Alternately, the filled-in
Preview of Grade 11 Functions MCR3U Math Lesson Plans

Grade 11 Functions MCR3U Math Lesson Plans

Created by
Miriam's Math
The lesson plans cover the following topics:introduction to functionsequivalent algebraic expressionsquadratic functionsexponential functionstrigonometric ratiossinusoidal functionsdiscrete functions: Sequences and seriesDiscrete functions: Financial Applications The notes are suitable for Grade 11 Functions based on Textbook: Nelson (and/or)McGraw-Hill__________________________________________________________________Contact me at MiriamsMath@gmail.com if you experience any issues. Please give
Preview of Calculus 2 Final Exam + Full Solutions

Calculus 2 Final Exam + Full Solutions

This bundle contains:A pdf file of 14 questions that can be used as a final exam for a Calculus 2 course (or as a final exam review). [suggest exam time limit: 2.5 hours] The first question is a True/False question (with 6 parts). The rest are all long answer questions. A pdf file of full solutions to these questions.The questions cover the following topics: Indefinite IntegralsAreasDefinite IntegralsFundamental Theorem of Calculus Integration by SubstitutionVolumesIntegration by PartsTrigonomet
Preview of calculate subtraction

calculate subtraction

Created by
Toushi
Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers. Subtraction is an operation used to find the difference between numbers,When you have a group of objects and you take away a few objects from it, the group becomes smaller. For example, you bought 9 cupcakes for your birthday party and your friends ate 7 cupcakes. Now you are left wit
Preview of BUNDLE: Differential Calculus 1 Lecture Notes / Lessons

BUNDLE: Differential Calculus 1 Lecture Notes / Lessons

This bundle contains the following lecture notes (all in pdf) for selected topics from Calculus 1 (Differential Calculus):Introduction to Limits (6 pages)Limit Laws, Calculating Limits, Squeeze Theorem (8 pages)Continuity (10 pages)Differentiation Rules (12 pages)Implicit Differentiation (6 pages)Derivatives of Logarithmic Functions & Logarithmic Differentiation (4 pages)L'Hopital's Rule, Indeterminate Forms (6 pages)Curve Sketching (7 pages)Linear Approximation and Differentials (7 pages)M
Preview of Limit Laws, Calculating Limits, Squeeze Theorem: Differential Calculus Lesson

Limit Laws, Calculating Limits, Squeeze Theorem: Differential Calculus Lesson

This pdf file can be used as lecture notes on limits in a differential calculus class.Topics covered include:Limit LawsEvaluating Limits using Direct SubstitutionSqueeze Theorem for LimitsIndeterminate Forms (introduction)Plus: many examples regarding these topics throughout.It is typed in LaTeX for a beautiful and professional look.For these same notes, together with the scaffolded version, click here.Here is an intro to limits worksheet (+ key) that can accompany this lesson.Here is a limits a
Preview of Infinite Series and 7 Convergence Tests Lesson Notes (Integral Calculus Lecture)

Infinite Series and 7 Convergence Tests Lesson Notes (Integral Calculus Lecture)

This bundle contains the following lecture notes for Integral Calculus (Calculus 2, AP Calculus BC), specifically the topics of Series and the Series Convergence Tests.The topics included are:Infinite Sequences (11 pages)Infinite Series & Test for Divergence (10 pages)Integral Test (7 pages)Comparison Test / Limit Comparison Tests (6 pages)Alternating Series Test (4 pages)Ratio Test/ Root Test / Absolute Convergence/ Conditional Convergence ( 8 pages)+ many solved examples interspersed t
Preview of Integration by Trigonometric Substitution Lesson (AP Calculus Integral Calculus)

Integration by Trigonometric Substitution Lesson (AP Calculus Integral Calculus)

This Integral Calculus lecture file (pdf) introduces the students to the Integration Technique called Trigonometric Substitution. Trigonometric substitutions of the following forms are covered: x= a sin (theta)x= a tan (theta)x= a sec (theta) Many examples are interspersed throughout.Typed in LaTeX for a beautiful and professional look.I also have another version of this lesson that contains the lecture notes as well as scaffolded notes here: Filled + Scaffolded NotesYou may also be interested i
Preview of Integration by Partial Fraction Decomposition Lesson + Worksheet (Calculus 2)

Integration by Partial Fraction Decomposition Lesson + Worksheet (Calculus 2)

This bundle contains the lesson on Integration by Partial Fraction Decomposition, as well as a worksheet of 20 questions with a brief solution file.This Integral Calculus lesson file (.pdf) introduces the students to the Integration Technique called Partial Fractions Decomposition. The following sub-topics are covered:What to do when you have a non-repeated linear factor in the denominator.What to do when you have a repeated linear factor in the denominator.What to do when you have a non-repeate
Preview of Partial Fraction Decomposition Integration Lesson (Calculus 2 AP Calculus BC)

Partial Fraction Decomposition Integration Lesson (Calculus 2 AP Calculus BC)

This Integral Calculus lecture file introduces the students to the Integration Technique called Partial Fractions. The following sub-topics are covered:What to do when you have a non-repeated linear factor in the denominator.What to do when you have a repeated linear factor in the denominator.What to do when you have a non-repeated quadratic factor in the denominator.What to do when you have a repeated quadratic factor in the denominator.Examples are interspersed throughout.Typed in LaTeX for a
Preview of AP Calculus / Calculus 2 Lessons 5 Integration Techniques Lecture Notes Lessons

AP Calculus / Calculus 2 Lessons 5 Integration Techniques Lecture Notes Lessons

This bundle contains the lecture notes (all in pdf) for five integration techniques:Integration by Substitution Lesson (3 pages)Integration by Parts Lesson (6 pages)Trigonometric Integrals Lesson (12 pages)Trigonometric Substitution Lesson (12 pages)Integration by Partial Fraction Decomposition Lesson (6 pages)+ Bonus file: Power Rule Backwards worksheetTyped in LaTeX for a beautiful and professional look.I also have a bundle that contains these lecture notes as well as their scaffolded notes
Preview of Linear Approximation (Linearization) & Differentials -Calculus 1 Lesson Notes

Linear Approximation (Linearization) & Differentials -Calculus 1 Lesson Notes

This Calculus 1 lecture file (pdf) introduces the students to the topic of linear approximation (aka linearization) and differentials.Many examples are interspersed throughout.Typed in LaTeX for a beautiful and professional look.For these same notes, together with the scaffolded version, click here.If you liked this product, there are other Calculus 1 lecture notes you may enjoy:Introduction to LimitsLimit Laws, Calculating Limits, Squeeze TheoremContinuityDifferentiation RulesImplicit Different
Preview of IB Math AI SL, May 2022 Paper 1 and 2 Worked Solution

IB Math AI SL, May 2022 Paper 1 and 2 Worked Solution

IB Math AI SL, May 2022 Paper 1 and 2 Worked Solution.6 questions/paper
Preview of Intro to Limits - Differential Calculus 1 Lesson Full + Scaffolded Notes

Intro to Limits - Differential Calculus 1 Lesson Full + Scaffolded Notes

This lecture/lesson file (pdf) can be used as a lecture on Introduction to Limits (Calculus 1, AP Calculus).Topics covered include:Definition of the LimitTwo-sided LimitsOne-sided LimitsVertical Asymptotes (Using Limits)Plus: many examples are given throughout.The first 6 pages are the scaffolded notes to be distributed to the students to be filled out.The last 6 pages are the filled-in/complete notes that is used by the teacher.The scaffolded notes can be used with a document camera, or photoco
Preview of Trigonometric Integral ( Scaffold +Filled Notes) Calculus Integration Technique

Trigonometric Integral ( Scaffold +Filled Notes) Calculus Integration Technique

This Integral Calculus lecture file teaches the students how to integrate different combinations of trigonometric functions.The following subtopics are included:How to ingrate products of sine and cosine.How to integrate products of tangent and secant.How to integrate products of cosecant and cotangent.How to integrate sin(ax) cos(bx), cos(ax) cos(bx), sin(ax) sin(bx).Many examples are interspersed throughout.The first 11 pages are the filled-in notes that is used by the teacher.The last 11 page
Preview of Power Series Lecture  (Scaffolded + Full Notes) - Integral Calculus 2 Lesson

Power Series Lecture (Scaffolded + Full Notes) - Integral Calculus 2 Lesson

This Integral Calculus lecture (pdf) introduces the students to the topic of Power Series. Sub-topics included are:Definition of the power series centred at a.Definition of the radius of convergence and the interval of convergence.Finding the radius of convergence and interval of convergence given a power series.Plus: many examples regarding these topics throughout.The first 4 pages are filled-in version of the lecture notes to be used by the instructor.The last 4 pages is a fill-in-the blank (s
Preview of Continuity - Differential Calculus 1 Lecture Lesson Notes

Continuity - Differential Calculus 1 Lecture Lesson Notes

This lecture /lesson file (pdf) can be used as lecture notes on Continuity (Calculus 1, AP Calculus AB).Topics covered include:Definition of ContinuityDiscontinuityContinuity from the Right/from the Left/ Continuity on an IntervalCalculating limits using Direct SubstitutionComposition and ContinuityIntermediate Value Theorem (IVT)Plus: many examples regarding these topics throughout.It is typed in LaTeX for a beautiful and professional look.For these same notes, together with the scaffolded vers
Preview of Trigonometric Integrals Lesson Notes (AP Calculus Integral Calculus Lecture)

Trigonometric Integrals Lesson Notes (AP Calculus Integral Calculus Lecture)

This Integral Calculus lecture (pdf) introduces the students to the integration technique involving certain products of Trigonometric Functions. The following sub-topics are included:Integrating trigonometric functions of the form cos^n(x) sin^m(x).Integrating trigonometric functions of the form tan^n(x) sec^m(x).Integrating trigonometric functions of the form cot^n(x) csc^m(x).It also briefly covers the following sub-topics:Integrating trigonometric functions of the form sin(mx) cos(nx).Integr
Preview of Introduction to Infinite Series Lesson Notes (Integral Calculus 2 Lecture)

Introduction to Infinite Series Lesson Notes (Integral Calculus 2 Lecture)

This 10-page pdf file can be used as a lecture for a Calculus 2 (Integral Calculus/ AP Calculus) class on Introduction to Series (Infinite Series).The lecture covers the following topics:Formal Definition of a series (as a limit of the sequence of partial sums)Geometric SeriesTelescoping SumsHarmonic Series (and proof of its divergence)Properties of Convergent SeriesTest for DivergencePlus: many examples regarding these topics throughout.Typed in LaTeX for a beautiful and professional look.For t
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