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Preview of AP Calculus AB Full Year Curriculum Bundle | Math Lion

AP Calculus AB Full Year Curriculum Bundle | Math Lion

Created by
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
Preview of Integration Maths Examples

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
Preview of Eigenvalue & Eigenvectors Made Easy - Notes, Presentation and Assignment

Eigenvalue & Eigenvectors Made Easy - Notes, Presentation and Assignment

Created by
Straight A Math
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
Preview of Introduction to Derivatives Guided Notes

Introduction to Derivatives Guided Notes

Use these guided notes to introduce students to derivatives for the first time! Students first graph the function f(x) = x2 and then attempt to find the rate of change at a given point. Students learn that they must find the slope or gradient of the tangent line at a point. Using the limit definition of a derivative, students are then led to find the derivative of various polynomial functions. Created for IB Math SL, but great for introductory Calculus as well.
Preview of AP Calculus AB Semester 2 Bundle Units 6-8

AP Calculus AB Semester 2 Bundle Units 6-8

Created by
Math Lion
AP Calculus AB Semester 2 Bundle (Units 6-8) 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 semester 2 of AP® Calculus AB. This bundle contains 3 units. Unit 6: Integration and Accumulation of Change Unit 7: Differential Equations Unit 8: Applications of Integration This unit was designed to align with the AP® Calculus AB Course Exam and Description (CED) eff
Preview of AP Calculus AB Semester 1 Bundle (Units 1 -5)

AP Calculus AB Semester 1 Bundle (Units 1 -5)

Created by
Math Lion
AP Calculus AB Semester 1 Bundle (Units 1 -5) 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 the first semester of AP® Calculus AB. This bundle contains 5 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 Diffe
Preview of Limits and Continuity (AP Calculus AB - Unit 1)

Limits and Continuity (AP Calculus AB - Unit 1)

Created by
Math Lion
Limits and Continuity Calculus Unit Bundle: This is a bundle with guided notes, PowerPoints aligned with the guided notes, additional practice (homework), mid-unit quiz, unit test, unit review, and unit pacing guide for Limits and Continuity Calculus (Unit 1). This unit contains 5 lessons. Lesson 1.1: Estimating Limits from Graphs and TablesLesson 1.2: Determining Limits Using AlgebraLesson 1.3: Continuity and the Intermediate Value TheoremLesson 1.4: Infinite Limits and Vertical AsymptotesLesso
Preview of Applications of Integration (AP Calculus AB - Unit 8)

Applications of Integration (AP Calculus AB - Unit 8)

Created by
Math Lion
Applications of Integration 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 Applications of Integration Calculus (Unit 8). This unit contains 7 lessons. Lesson 8.1: Average ValueLesson 8.2: Connecting Position, Velocity, and Acceleration Using IntegralsLesson 8.3: The Accumulation Function and Definite Integrals in Applied ContextLesson 8.4:
Preview of Differentiation: Composite, Implicit, Inverse Functions (AP Calculus AB- Unit 3)

Differentiation: Composite, Implicit, Inverse Functions (AP Calculus AB- Unit 3)

Created by
Math Lion
Differentiation: Composite, Implicit, and Inverse Functions Calculus Lessons BundleThis is a bundle with guided notes, PowerPoints aligned with the guided notes, additional practice (homework), mid-unit quiz, unit test, unit review, and unit pacing guide for Differentiation: Composite, Implicit, and Inverse Functions Calculus (Unit 3). This unit contains 5 lessons. Lesson 3.1: The Chain RuleLesson 3.2: Implicit DifferentiationLesson 3.3: Differentiating Inverse FunctionsLesson 3.4: Differentiat
Preview of Differential Equations (AP Calculus AB - Unit 7)

Differential Equations (AP Calculus AB - Unit 7)

Created by
Math Lion
Differential Equations Calculus Unit Bundle This is a bundle with guided notes, PowerPoints aligned with the guided notes, additional practice (homework), mid-unit quiz, unit test, unit review, and unit pacing guide for Differential Equations Calculus (Unit 7). This unit contains 3 lessons. Lesson 7.1: Slopes FieldsLesson 7.2: Growth and DecayLesson 7.3: Separation of VariablesThis unit was designed to align with the AP® Calculus AB Course Exam and Description (CED) effective Fall 2020. Th
Preview of AP CALCULUS AB - 6.10 INTEGRATING USING LONG DIV. & COMPLETING THE SQUARE

AP CALCULUS AB - 6.10 INTEGRATING USING LONG DIV. & COMPLETING THE SQUARE

Created by
MATH WITH YOSH
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
Preview of Integration and Accumulation of Change (AP Calculus AB - Unit 6)

Integration and Accumulation of Change (AP Calculus AB - Unit 6)

Created by
Math Lion
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
Preview of AP CALCULUS AB - 6.9 INTEGRATING USING SUBSTITUTION WORKSHEET

AP CALCULUS AB - 6.9 INTEGRATING USING SUBSTITUTION WORKSHEET

Created by
MATH WITH YOSH
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
Preview of Contextual Applications of Differentiation (AP Calculus AB - Unit 5)

Contextual Applications of Differentiation (AP Calculus AB - Unit 5)

Created by
Math Lion
Contextual Applications of Differentiation Calculus Unit Bundle: This is a bundle with guided notes, PowerPoints aligned with the guided notes, additional practice (homework), mid-unit quiz, unit test, unit review, and unit pacing guide for Contextual Applications of Differentiation Calculus (Unit 5). This unit contains 4 lessons. Lesson 5.1: Straight-Line Motion: Connecting Position, Velocity, and AccelerationLesson 5.2: Related RatesLesson 5.3: Approximating Values of a Function Using Lineari
Preview of Analytical Applications of Differentiation (AP Calculus AB - Unit 4)

Analytical Applications of Differentiation (AP Calculus AB - Unit 4)

Created by
Math Lion
Analytical Applications of Differentiation Calculus Unit Bundle:This is a bundle with guided notes, PowerPoints aligned with the guided notes, additional practice (homework), mid-unit quiz, unit test, unit review, and unit pacing guide for Analytical Applications of Differentiation (Unit 4). This unit contains 6 lessons. Lesson 4.1: Using the Mean Value TheoremLesson 4.2: Extrema on an IntervalLesson 4.3: Increasing and Decreasing Intervals and The First Derivative TestLesson 4.4: Concavity and
Preview of Differentiation: Definition & Fundamental Properties (AP Calculus AB - Unit 2)

Differentiation: Definition & Fundamental Properties (AP Calculus AB - Unit 2)

Created by
Math Lion
Differentiation: Definition and Fundamental Properties Calculus Unit Bundle:This is a bundle with guided notes, PowerPoints aligned with the guided notes, additional practice (homework), mid-unit quiz, unit test, unit review, and unit pacing guide for Differentiation: Definition and Fundamental Properties Calculus (Unit 2). This unit contains 5 lessons. Lesson 2.1: Defining Average and Instantaneous Rates of ChangeLesson 2.2: Defining the Derivative of a FunctionLesson 2.3: The Power RuleLesson
Preview of PARTIAL FRACTION DECOMPOSITION

PARTIAL FRACTION DECOMPOSITION

Created by
MATH WITH YOSH
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
Preview of Infinite Sequences and Series Guided Notes (BC Calculus - Unit 10)

Infinite Sequences and Series Guided Notes (BC Calculus - Unit 10)

⭐⭐ This  AP Calculus Unit 10-BC Guided Notes Bundle provides you with a  customizable and  fully-editable resource of guided notes that cover the topics for  Infinite Sequences and Series.⭐⭐ The unit covers all 15 topics stated in the College Board Course Framework (CED) divided into 10 lessons. ✅  Learning Objectives Include: Series and Convergence (5 pages) The Integral Test and p-Series (5 pages) Comparison of Series (3 pages) Alternating Series (4 pages) Ratio and Root Tests (4 pages)
Preview of Taylor and Maclaurin Series (BC Calculus - Unit 10)

Taylor and Maclaurin Series (BC Calculus - Unit 10)

⭐⭐ This  AP Calculus BC lesson provides you with a  customizable and  fully-editable resource of guided student notes, practice set and daily lesson quiz that cover the topics for  Taylor and Maclaurin Series.⭐⭐ ✅ Learning Objective:★ Differentiate and integrate a Taylor or Maclaurin series. ★ Find a geometric power series that represents a function. ★ Construct a power series using series operations. ✅ College Board® Topics:⭐ Topic 10.14: Finding Taylor or Maclaurin Series for a Function Less
Preview of The Integral Test and p-Series (BC Calculus - Unit 10)

The Integral Test and p-Series (BC Calculus - Unit 10)

⭐⭐ This  AP Calculus BC lesson provides you with a  customizable and  fully-editable resource of guided student notes, practice set and daily lesson quiz that cover the topics for  The Integral Test and p-Series.⭐⭐ ✅ Learning Objective:★ Understand the definition of both geometric series and p-series ★ Use the Integral Test to determine convergence and divergence of infinite series ★ Use properties of convergence for p-series and harmonic series ★ Test p-series for convergence ✅ College Board®
Preview of Series and Convergence (BC Calculus - Unit 10)

Series and Convergence (BC Calculus - Unit 10)

⭐⭐ This  AP Calculus BC lesson provides you with a  customizable and  fully-editable resource of guided student notes, practice set and daily lesson quiz that cover the topics for  Series and Convergence.⭐⭐ ✅ Learning Objective:★ Understand the definition of a convergent infinite series ★ Use properties of infinite geometric series. ★ Use the  n-th Term Test for Divergence of an infinite series ✅ College Board® Topics:⭐ Topic 10.1: Defining Convergent and Divergent Infinite Series ⭐ Topic 10.
Preview of Comparison of Series (BC Calculus - Unit 10)

Comparison of Series (BC Calculus - Unit 10)

⭐⭐ This  AP Calculus BC lesson provides you with a  customizable and  fully-editable resource of guided student notes, practice set and daily lesson quiz that cover the topics for  Comparison of Series.⭐⭐ ✅ Learning Objective:★ Use the Direct Comparison Test for convergence ★ Use the Limit Comparison Test for convergence ✅ College Board® Topics:⭐ Topic 10.6: Comparison Tests for Convergence ✅ Lesson 10.3 Comparison of Series is a one-day lesson with an emphasis on Mathematical Practice 3 Just
Preview of Lagrange Error Bound and Accuracy (BC Calculus - Unit 10)

Lagrange Error Bound and Accuracy (BC Calculus - Unit 10)

⭐⭐ This  AP Calculus BC lesson provides you with a  customizable and  fully-editable resource of guided student notes, practice set and daily lesson quiz that cover the topics for  Lagrange Error Bound and Accuracy.⭐⭐ ✅ Learning Objective:★  Use Taylor polynomials to estimate values of functions ★ Use Taylor’s Inequality to measure the accuracy of approximations. ★ Use alternating series error bound to bound the error of a Taylor approximation of a function. ✅ College Board® Topics:⭐ Topic 10.
Preview of Representing Functions as Power Series (BC Calculus - Unit 10)

Representing Functions as Power Series (BC Calculus - Unit 10)

⭐⭐ This  AP Calculus BC lesson provides you with a  customizable and  fully-editable resource of guided student notes, practice set and daily lesson quiz that cover the topics for  Representing Functions as Power Series.⭐⭐ ✅ Learning Objective:★ Differentiate and integrate a power series ★ Find a geometric power series that represents a function ★ Construct a power series using series operations ✅ College Board® Topics:⭐ Topic 10.15: Representing Functions as Power Series Lesson 10.10 Represen
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