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Higher Education Programs Calculus Instruction PDFs

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Preview of Calculus Survival Kit over 100 pages of References and way more updated 2026-27

Calculus Survival Kit over 100 pages of References and way more updated 2026-27

Created by
Joan Kessler
Go Back to School with the coolest Calculus and PreCalculus resource! Now Updated for 2026-2027! Nothing else like it! This is a must-have for AP Calculus teachers or any Calculus teacher, high school, dual enrollment, or college. In this unique bundle you will find every resource handout you could ever want, all created by an experienced NBCT teacher to help your students succeed. With over 105 pages of the best references, study guides, and cheat sheets for Trigonometry, PreCalculus, De
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 AP CALCULUS BC EXAM STUDY GUIDE & FORMULA SHEET BUNDLE

AP CALCULUS BC EXAM STUDY GUIDE & FORMULA SHEET BUNDLE

Created by
MATH WITH YOSH
Need a set of comprehensive formula sheets to help your AP Calculus students study for the AP Calculus BC Exam? This ready-to-print all inclusive study guide bundle makes reviewing the essential theorems, formulas, and definitions easy, while reinforcing the necessary content to pass the AP Exam! What's Included:(1) A Comprehensive document, including theorems, formulas, and definitions from Units 1-10 of the AP Calculus BC Course and Exam Description(2) The Unit Circle Reference Sheet(3) An Eva
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 AP Calculus BC Calculus 2 Readiness Prep

AP Calculus BC Calculus 2 Readiness Prep

Created by
Joan Kessler
Are your Calculus students ready for the second half of AP Calculus BC or College Calculus 2?Sure, they can take derivatives and limits. They can integrate and find the area under a curve, but can they do Partial Fractions? Do they remember Polar Functions, or Conics? What about Trig Equations? or Series? They will need those skills as well as those learned in Calculus AB as they enter the next course in the Calculus sequence. Sometimes I think PreCalculus should come between Calculus 1 and 2,
Preview of Integration by Parts Circuit Training Calculus BC

Integration by Parts Circuit Training Calculus BC

Created by
Joan Kessler
Challenge your Calculus students with this self - checking Integration by Parts Circuit Practice. After your students solve the first problem they search for the answer on the handout and that leads them to the next problem. There are 8 problems for them to complete. This practice will build your students' skills and proficiency on this topic. The FULL TYPED SOLUTIONS are included, so this is NO PREP for YOU! If you have never used circuits, then the best way to describe them is a combinat
Preview of 1st & 2nd Derivative Tests Flip Book Foldable Guided Notes | Curve Sketching

1st & 2nd Derivative Tests Flip Book Foldable Guided Notes | Curve Sketching

Created by
Joan Kessler
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
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 Calculus Integration Bundle of Fun Activities

Calculus Integration Bundle of Fun Activities

Created by
Joan Kessler
This Integration Fun Bundle for Calculus plus Bonus includes resources which are engaging and fun, but are also rigorous and comprehensive. Use for end of unit, end of year, Subs, extra credit, or a fun assessment. All answer keys included. Some resources include Homework and quizzes. Please look at the individual previews. __________________________________________________________________ You may also like: ★ Bigger Bundle of Integration Activities ★ Definite Integration FUN Notes and Pract
Preview of Limits from Tables plus Guided Notes for Calculus

Limits from Tables plus Guided Notes for Calculus

Created by
Joan Kessler
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
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 Indefinite Integral Bundle

Indefinite Integral Bundle

This ready-to-use bundle includes five worksheets covering the five most common integration methods: reverse differentiation rules, u-substitution, trig substitutions, integration by parts and partial fractions. This resource can be used for in-class practice, homework, unit test preparation or review for the AP Calculus exam. Looking for substitute plans that do not take away valuable instruction days? A slide deck with worked solutions is included in this bundle!
Preview of Integration by Trigonometric Substitution (Trig Sub) Calculus BC /2

Integration by Trigonometric Substitution (Trig Sub) Calculus BC /2

Created by
Joan Kessler
This Calculus 2, AP Calculus BC - Integration by Trigonometric Substitution Guided Notes, 2 Graphic Organizers, Practice Problem Set with Full Solutions is No Prep for you and is from the Unit on Techniques of Integration. This activity is designed for AP Calculus BC and College Calculus 2. Integration by Trigonometric Substitution is an important topic that students have traditionally had difficulty with. This activity reinforces the skills needed to master this topic. Included: Two Ver
Preview of Calculus Concavity and Points of Inflection Foldable Notes plus HW

Calculus Concavity and Points of Inflection Foldable Notes plus HW

Created by
Joan Kessler
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
Preview of AP Calculus AB/BC Guided Notes Units 1-4 with Key!

AP Calculus AB/BC Guided Notes Units 1-4 with Key!

Created by
Sigma Pi Math
AP Calculus AB/BC Units 1-4 Guided Notes with Answer Key! Aligned directly with Collegeboard CEDIncludes guided notes, practice pages, and answer keysPDF file
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
Preview of Chain Rule Activity Bundle | Guided Notes, Practice, Exit Tickets & Games

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
Preview of Advanced Curve Sketching Practice Key — Calculus AB/Calculus 1

Advanced Curve Sketching Practice Key — Calculus AB/Calculus 1

🧾 Advanced Curve Sketching Practice — Calculus AB (Detailed Solutions Key)By Limitless Learning with HeatherGive your students and fellow educators the full story behind every curve. This Detailed Solutions Key pairs with the Advanced Curve Sketching Practice — Calculus AB (Questions Only) packet to model expert-level reasoning and clear written justification for every problem. Each of the 10 problems includes: Step-by-step derivative and concavity analysis written in full sentences Expli
Preview of Taylor Polynomials and Approximations (BC Calculus - Unit 10)

Taylor Polynomials and Approximations (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 Polynomials & Approximations.⭐⭐ ✅ Learning Objective:★ Find polynomial approximations of functions and compare them with the elementary functions ★ Find Taylor and Maclaurin polynomial approximations of elementary functions ★ Use the remainder of a Taylor polynomial ✅ College Board® Topics:⭐ Topic 10.11: Find
Preview of Derivative of Composite, Implicite , Inverse and Related rates

Derivative of Composite, Implicite , Inverse and Related rates

Key Differentiation Techniques Composite Functions (Chain Rule): Used when one function is nested inside another, such as H(x) = G(F(x)). The derivative is found by taking the derivative of the outside function and multiplying it by the derivative of the inside function: H'(x) = G'(F(x)) * F'(x).Implicit Differentiation: Applied when a function is not isolated for one variable (e.g., y^2 - 3xy + x^2 = 7). You differentiate both sides of the equation with respect to x, treating y as a function of
Preview of AP Calculus Cheat Sheet Bundle | Full Year Review (Units 1–8, AB/BC)

AP Calculus Cheat Sheet Bundle | Full Year Review (Units 1–8, AB/BC)

Created by
KingMamaMath
Save time and support your students all year long with this complete AP Calculus Cheat Sheet Bundle! This growing bundle includes concise, student-friendly reference sheets covering the most important concepts from Units 1–8. Each resource is designed to help students review, connect concepts, and succeed on tests and the AP Exam. Perfect for both AP Calculus AB and BC, these cheat sheets provide a structured, easy-to-use system your students will rely on all year. 📘 What’s Included: • L
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