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AP Calculus AB Guided Notes - Rolle's Theorem and the Mean Value Theorem
Aligned with Calculus for AP (2ed.) by Ron Larson and Paul Battaglia, these guided notes go through Chapter 3.2 - Rolle's Theorem and the Mean Value Theorem, and includes all theorems, definitions, and problems.
11th - 12th, Higher Education
Calculus
Also included in: AP Calculus AB Guided Notes - Chapter 3 Applications of Differentiation
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
Calculus AB Unit 1 Notes: 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, trigT
10th - 12th
Calculus
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
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
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.
11th - 12th, Higher Education
Calculus
Also included in: AP Calculus BC Mega Bundle 2nd Semester | Flamingo Math
Applications of Integration (AP Calculus AB - Unit 8)
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:
10th - 12th
Calculus, Math
Also included in: AP Calculus AB Semester 2 Bundle Units 6-8
Analytical Applications of Differentiation (AP Calculus AB - Unit 4)
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
10th - 12th
Calculus, Math
Also included in: AP Calculus AB Semester 1 Bundle (Units 1 -5)
Integral & Antiderivative Cheat Sheet | FTC, Riemann Sum & Integration Technique
Give your students a complete guide to integrals with this comprehensive Antidifferentiation & Integration Techniques Cheat Sheet for AP Calculus! This resource is designed as a 2–3 page reference sheet covering everything students need for Unit 6, including both AB and BC topics. 📘 What’s Included:• Riemann sums (left, right, midpoint, trapezoidal) • Area under the curve & accumulation • Fundamental Theorem of Calculus (both parts) • Average value of a function • Properties of definite int
9th - 12th, Adult Education, Higher Education
Applied Math, Calculus, Math Test Prep
Contextual Applications of Differentiation (AP Calculus AB - Unit 5)
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
10th - 12th
Calculus, Math
Also included in: AP Calculus AB Semester 1 Bundle (Units 1 -5)
Limits and Continuity (AP Calculus AB - Unit 1)
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
10th - 12th
Calculus, Math, PreCalculus
Also included in: AP Calculus AB Semester 1 Bundle (Units 1 -5)
Limits, Continuity & IVT Cheat Sheet | AP Calculus AB/BC Unit 1 Review
This 2-sided, one-page resource is perfect for review, test prep, or daily reference. Designed for AP Calculus AB and BC students, it summarizes all the essential concepts from Unit 1 in an easy-to-follow format. 📘 What’s Included:• Intuitive definition of limits • One-sided limits (left-hand and right-hand) • Limit laws and properties • Special limits and the Squeeze Theorem • Step-by-step strategies for evaluating limits • Vertical and horizontal asymptotes • Limits at infinity + rational f
9th - 12th, Adult Education, Higher Education
Calculus, Other (Math), PreCalculus
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