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Integration Maths Examples
IB Math AI SL Topic 5.5 – Integration | Teaching Slides + Student Notes (PDF)Introduce integration with this ready-to-use, visually structured PowerPoint presentation designed for IB Math Applications and Interpretation SL Topic 5.5: Anti-differentiation. Whether you're launching your calculus unit or reinforcing key skills, this resource provides clear examples, worked solutions, and built-in practice to support student understanding of integration as the reverse process of differentiation. Th
10th - 12th
Calculus, Math Test Prep, Other (Math)
Also included in: IB Math Applications & Interpretation SL Topic 5 Calculus BUNDLE
Calculus AB Unit 1: Limits & Continuity Guided Notes | Practice, MCQs, FRQs
These Calculus AB Unit 1 guided notes cover Limits, Continuity, and the Intermediate Value Theorem. They include worked and unworked examples for teacher-led instruction or student practice, with over 300 practice problems, end-of-section MCQs, and select FRQs.Topics IncludeIntroduction to derivativesDefinition of a limit and limit notationLimits graphically and tabularlyProperties of limitsEvaluating limits algebraicallyPolynomials, radicals, complex fractions, piecewise, absolute value, trigTh
10th - 12th
Calculus
Calculus AB Unit 8 Notes Bundle: Guided Notes, Practice, Section MCQ & FRQ
This bundle includes both Unit 8A and Unit 8B guided notes for Calculus AB, covering the full Applications of Integration unit (sections 8.1–8.12). Topics include average value, initial value problems, area between curves, motion applications, volume with known cross sections, the disc method, and the washer method. Each set includes worked examples, practice problems, and end-of-section MCQs and FRQs with answer keys.
10th - 12th
Calculus
Calculus AB Unit 8B (Volume) Notes: Guided Notes, Practice, Section MCQ & FRQ
These Calculus AB Unit 8B guided notes cover the volume sections Applications of Integration sections 8.7-8.12. They include worked examples and blank examples (teacher-led or for student practice). All sections include practice problems within the notes and end-of-section MCQs and an FRQ part. Topics IncludeVolumes of figures with known cross sections (squares, rectangles, triangles, semicircles)Volumes using the disc methodRevolutions about the x- and y-axes and other horizontal/vertical lines
10th - 12th
Calculus
Eigenvalue & Eigenvectors Made Easy - Notes, Presentation and Assignment
Looking for clear and student-friendly notes on Eigenvalues and Eigenvectors? This complete lesson is designed to make teaching Eigenvalues and Eigenvectors simple, especially for teachers covering it for the first time. Created specifically for IB Math Applications and Interpretations HL, this resource is perfect for introducing the topic in a way that students can actually understand. What’s Included: ✅ Clear, step-by-step notes (in plain English) ✅ Editable PowerPoint presentation with def
11th - 12th, Higher Education
Algebra, Calculus, Other (Math)
Product and Quotient Rules for Derivatives Notes
These notes cover where the product and quotient rules for finding derivatives come from. Students will be taking derivatives analytically (algebraically) and numerically. It's important to not that students should know the chain rule before attempting these problems. In my classroom, we learn the chain rule first and then practice it with the product and quotient rules. This note sheet formatted to be a 1/2 sheet of paper. It is intended to hand out to the students so that they do not have to
9th - 12th, Higher Education
Calculus
Also included in: Calculus Part 3 Notes (Derivative and Antiderivative Methods)
Calculus Concavity and Points of Inflection Foldable Notes plus HW
This Calculus Concavity and Points of Inflection Foldable Flip Book is an engaging activity and reinforces the concepts of Concavity and Points of Inflection for your students. Included in the resource are: A foldable with definitions, formulas, examples, and problems for students to complete plus 2 challenge problems on the back which is great for differentiation and early finishers. This makes a great study guide. A 7 problem handout with full solutions. Use as enrichment, homework, group
11th - 12th, Higher Education
Calculus, Math
Also included in: Calculus Applications of Differentiation Unit Bundle
AP CALCULUS AB - 6.9 INTEGRATING USING SUBSTITUTION WORKSHEET
This Calculus worksheet is intended for students after they have learned the 6.9 Integrating Using Substitution lesson from the AP Calculus AB Course and Description. In this worksheet, I have included various examples where students find integrals using substitution. The problems also require the derivatives and integrals of radical functions, cosx, sinx, e^x, and lnx. I structured the problems in the worksheet so that they start off straight forward, and progressively get a little more intrica
9th - 12th, Higher Education
Calculus
1st & 2nd Derivative Tests Flip Book Foldable Guided Notes | Curve Sketching
This Calculus First and Second Derivative Tests Flip Book Foldable Guided Notes for curve sketching reviews and reinforces the First and Second Derivative Test, as well as Concavity from the unit on Analytical Applications of Differentiation. Included are: Definitions, formulas, examples, and a problem for students to complete plus summaries on End Behavior to help student sketch. The rules are presented visually and in a compact organized fashion. Students love Flip Books. This makes a great
11th - 12th, Higher Education
Calculus, Math
Also included in: Calculus Applications of Differentiation Unit Bundle
AP CALCULUS AB - 6.10 INTEGRATING USING LONG DIV. & COMPLETING THE SQUARE
This Calculus worksheet is intended for students after they have learned the 6.10 Integrating Functions Using Long Division and Completing the Square lesson from the AP Calculus AB Course and Description. In this worksheet, I have included various examples where students find integrals by first using long division and completing the square in order to rewrite the integrand. The problems then result in integrals involving natural log and inverse tangent. I structured the problems in the two part
9th - 12th, Higher Education
Calculus
Limits from Tables plus Guided Notes for Calculus
This Evaluating Limits from Tables with Guided Notes resource is designed to help your Calculus students understand and master the concepts in this section and promote fluency. What's Included?11 Task cards which include polynomial, rational, irrational, and trig functions. Students use a table to determine if a limit exists and to evaluate it, if it exists. There are also problems which students are given a table and asked to estimate the limit. Blank Task card for you to personalizeGuided
11th - 12th, Higher Education
Calculus, PreCalculus
Also included in: Limits and Continuity Calculus Unit 1 Bundle
Where's My Calculus Pie? AP Calculus AB BC Pi Day Activity
Celebrate Pi Day with Trig Substitution! 🥧📐Make March 14th meaningful and mathematically delicious with this Pi Day Calculus Integration Worksheet! This engaging activity helps students practice trigonometric substitution while celebrating everyone’s favorite irrational number. Students will work through one integral that naturally leads to π, using trigonometric substitutions, trigonometric identities, and formulas to simplify expressions and evaluate a definite integral. The problem is d
10th - 12th
Calculus
PARTIAL FRACTION DECOMPOSITION
This worksheet is intended for students to practice partial fraction decomposition, given a rational function. When I teach partial fraction decomposition, some students pick it up right away, while other students need a little more practice. So I created this worksheet, scaffolding the required skills. In this worksheet, students first identify the correct set up for partial fraction decomposition, then they complete the process in the following problems. The problems get progressively more cha
9th - 12th
Calculus, PreCalculus
Calculus Continuity of Piecewise Functions and Functions with Holes
In this Calculus Continuity of Piecewise Functions activity your students determine the values of x which make a discontinuous piecewise function or functions with holes continuous everywhere as they explore points of discontinuity. This activity is designed to build your students' skills and proficiency with analyzing continuous functions, What's included? 16 Task or Station Cards which explore the topic of finding a value which makes a discontinuous function continuous. My students ha
11th - 12th
Calculus, Math
Also included in: Limits and Continuity Calculus Unit 1 Bundle
10.12 Lagrange Error Bound – Mega Notes (AP Calculus BC)
Help your students understand and apply the Lagrange Error Bound with this clear, step-by-step AP Calculus BC guide.This resource teaches students how to estimate the maximum error in Taylor polynomial approximations, a key concept in AP Calculus BC Unit 10. What Students Will Learn ✔ What the Lagrange Error Bound represents ✔ How to identify the correct derivative to use ✔ How to find an upper bound for the error ✔ How to apply the error formula in AP-style problems ✔ How to justify accu
10th - 12th
Calculus, Math Test Prep
Also included in: AP Calculus BC – Infinite Series Mega Bundle (Full Unit 10 System)
Imaginary & Complex Numbers + Quadratics Notes | with answer KEY
Ready-to-use Algebra 2 notes packet! Covers imaginary & complex numbers, quadratic equations with imaginary solutions, real-world examples, and lots of practice. Perfect for grades 10–12. Make teaching imaginary and complex numbers simple with this notes outline packet! Designed for high school Algebra 2 (grades 10–12), it covers operations with imaginary and complex numbers, plus solving quadratic equations with imaginary solutions. Includes guided notes, clear step-by-step examples, real-world
7th - 12th, Adult Education, Higher Education
Algebra 2, Calculus, PreCalculus
CCSS
HSN-CN.A.1
, HSN-CN.A.2
, HSN-CN.C.7
+4
Chain Rule Activity Bundle | Guided Notes, Practice, Exit Tickets & Games
Help your calculus students understand the Chain Rule by thinking in layers! This resource uses a memorable inside-out “pretzel” approach to help students identify the inside function, track each layer of a composite function, and build the derivative one piece at a time. This is especially helpful for students who struggle with composition of functions, forget the inside derivative, or need a stronger foundation before future topics like u-substitution. What’s Included Guided notes Scaffol
11th - 12th, Higher Education
Calculus
Calculus AB Unit 1 COMPLETE Bundle | Notes, Quiz, Test, MCQ & FRQ Practice
This complete bundle includes everything you need to teach and assess Calculus AB Unit 1: Limits & Continuity. It contains guided notes, a unit quiz, a unit test, and extensive MCQ and FRQ practice.Topics IncludeIntroduction to derivativesDefinition of a limit and limit notationLimits graphically and tabularlyProperties of limitsEvaluating limits algebraicallyPolynomials, radicals, complex fractions, piecewise, absolute value, trigThe squeeze theoremConnecting different representations of limits
10th - 12th
Calculus
Teacher Notes for Calculus 2 or AP Calculus BC Unit 6 - 9
This set of hand-written notes for Units 6 - 9 Calculus 2 or AP Calculus BC was originally requested by one teacher as a custom resource, but is available for sale to all teachers. Units:Applications of Integration Techniques of IntegrationInfinite SeriesParametric & Polar Calculus Please note that these are copies of my handwritten notes and may not be perfect. They have been copied and scanned. The content is top quality, but the format does not reflect the typical high quality output of my
11th - 12th, Higher Education
Calculus
Calculus AB Unit 7 Complete Bundle: Notes, MCQ & FRQ Practice, Quiz, and Test
This complete bundle includes everything you need for Calculus AB Unit 7: Differential Equations. It includes guided notes with practice, MCQ and FRQ practice sets, an MCQ unit quiz, an MCQ/FRQ unit test. Assessments include two parallel versions (A and B), and resources include answer keys, selected worked solutions, and FRQ scoring rubrics. IncludedGuided Notes with PracticeWorked and unworked examplesMCQ Practice40 multiple-choice questionsAnswer key and selected worked solutionsFRQ Practice4
10th - 12th
Calculus
Calculus AB Unit 6 Complete Bundle: Notes, MCQ & FRQ Practice, Quiz, and Test
This complete bundle includes everything you need for Calculus AB Unit 6: Integration and Accumulation of Change. It includes guided notes with practice, MCQ and FRQ practice sets, an MCQ quiz, and an MCQ/FRQ unit test. Assessments include two parallel versions (A and B), and resources include answer keys, detailed solutions, and FRQ scoring rubrics. IncludedGuided Notes with Practice (worked and unworked examples)MCQ Practice: 64 multiple-choice questions (answer key with detailed solutions)FRQ
10th - 12th
Calculus
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
Deriving Kinematics Equations : AP Physics C
Take your AP Physics C students beyond memorization! This calculus-based worksheet walks them step-by-step through deriving all kinematics equations using differential equations, complete with a full answer key for easy grading. Grades: 11-12 | Subject: AP Physics C | Topic: Kinematics (Calculus-Based) Product Description:This AP Physics C – Deriving Kinematics Equations Worksheet is a must-have for any calculus-based physics classroom! Perfect for deepening conceptual understanding, this reso
11th - 12th, Higher Education
Calculus, Engineering, Physics
AP Calculus AB Full Year Curriculum Bundle | Math Lion
AP Calculus AB Full Year Bundle This is a bundle with guided notes, PowerPoints aligned with the guided notes, additional practice (homework), mid-unit quizzes, unit tests, unit reviews, and unit pacing guides for a full year of AP® Calculus AB. This bundle contains 8 units. Unit 1: Limits and Continuity Unit 2: Differentiation: Definition and Fundamental Properties Unit 3: Differentiation: Composite, Implicit, and Inverse Functions Unit 4: Analytical Applications of Differentiation Unit 5: Co
10th - 12th, Higher Education
Calculus, Math
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