Advanced Placement (AP) Calculus Lectures
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Programs & methods
AP Precalculus Formula Sheet | Complete Reference for AP Exam Preparation (PDF)
This AP Precalculus Formula Sheet is a clear, organized, and student-friendly reference designed to support AP Precalculus exam preparation and daily classroom instruction. It brings together all essential formulas students need throughout the AP Precalculus course, aligned with the College Board AP Precalculus Course and Exam Description. Perfect for high school AP Precalculus students, teachers, tutors, and exam review, this printable PDF helps students quickly review key concepts, recogn
10th - 12th
Calculus, Other (Math), PreCalculus
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 Part 2 Notes (Derivative, Motion, Slope Fields, Euler's, Antideriv)
These notes cover introductions to the following topics: Derivative (basic trig and power rule)Motion (graphically and analytically)Slope FieldsTangent Lines and Euler's MethodAntiderivates/Indefinite IntegralsAntiderivatives and Initial ConditionsThese note sheets are formatted to be on 1/2 sheets of paper. They are intended to be handed out to the students so that they do not have to write everything down - not for them to cram everything on the note page. They can use them as part of their in
9th - 12th, Higher Education
Calculus, PreCalculus
Calculus Part 1 Notes (From Attributes of Functions to Finding Limits)
This includes five note sheets (formatted so they work as part of an interactive notebook), one graphic organizer, and the slides that have all of the videos for all of these - and the rest of the year of calculus.
9th - 12th, Higher Education
Calculus, PreCalculus
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
Continuity Worksheet for AP Calculus AB BC Limits Unit
Introducing the concept of Continuity for AP Calculus during the Limits Unit. The worksheet builds up the concepts of how and where a function could be discontinuous. Does the function value exist? Does the limit exist? Are those values the same?
9th - 12th
Calculus, Graphing, PreCalculus
Limits at Infinity & Infinite Limits AP Calculus AB BC
AP Calculus Limits Unit Introduce the concepts of infinite limits and limits at infinity through tables and graphs. Connects previously learned concepts of vertical and horizontal asymptotes. I use worksheets when students will need to draw tables or graphs to keep them organized.
9th - 12th
Calculus, Graphing, PreCalculus
Introduction to Limits Day 1 AP Calculus AB BC
AP Calculus AB or BC worksheet introducing the idea of limits. I use this on the very first day of the Limits Unit. Students learn about limits using tables and graphs, and distinguish limit notation from function notation. This worksheet could also be used in Precalculus at the end of the year.
9th - 12th
Calculus, Graphing, PreCalculus
FTC Does the Twist: AP Calculus AB Lecture, Practice & Worksheet on the FTC
FTC Does the Twist: AP Calculus AB Lecture, Practice & Worksheet on the Fundamental Theorem of Calculus✅ Product Description:Bring the Fundamental Theorem of Calculus to life with a memorable “twist”! FTC Does the Twist is a dynamic lecture-and-practice bundle designed for AP Calculus AB students learning how to apply the Fundamental Theorem of Calculus in net change problems. This resource builds conceptual understanding through teacher-led instruction, visual slides, real-world examples, and
12th
Calculus
Euler's Method, Tangent Lines Notes
These notes cover writing tangent lines and using Euler's method to get better estimations for solutions to differential equations. 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 write everything down - not for them to cram everything on the note page. They can use it as part of their interactive notebook OR they can staple/tape/glue it to wherever they are taking notes. My students kept it out during the lecture and
9th - 12th, Higher Education
Calculus
Average and Instantaneous Rates of Change, Definition of the Derivative
These notes cover the average rate of change (AROC) and the instantaneous rate of change (IROC)/derivative. These note sheets are 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 write everything down - not for them to cram everything on the note page. They can use it as part of their interactive notebook OR they can staple/tape/glue it to wherever they are taking notes. My students kept it out during the lecture and labeled their note
9th - 12th, Higher Education
Calculus, PreCalculus
Horizontal and Oblique/Slant Asymptote Notes, Limits as x Approaches Infinity
These notes cover finding horizontal and oblique asymptotes analytically. Students will be taking limits as x approaches positive and negative infinity. 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 write everything down - not for them to cram everything on the note page. They can use it as part of their interactive notebook OR they can staple/tape/glue it to wherever they are taking notes. My students kept it out du
9th - 12th, Higher Education
Calculus, PreCalculus
Also included in: Calculus Part 1 Notes (From Attributes of Functions to Finding Limits)
Integrating Using u-Substitution Notes
These notes cover finding integrals using u-Substitution. This does not include exponential or logarithmic functions - they are addressed in the next lesson. 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 write everything down - not for them to cram everything on the note page. They can use it as part of their interactive notebook OR they can staple/tape/glue it to wherever they are taking notes. My students kept it o
9th - 12th, Higher Education
Calculus
Also included in: Calculus Part 3 Notes (Derivative and Antiderivative Methods)
Derivatives Involving Logarithmic Functions Notes
These notes cover finding derivatives of logarithmic functions - using the chain rule. 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 write everything down - not for them to cram everything on the note page. They can use it as part of their interactive notebook OR they can staple/tape/glue it to wherever they are taking notes. My students kept it out during the lecture and labeled their notes to reference it and it wa
9th - 12th, Higher Education
Calculus
Also included in: Calculus Part 3 Notes (Derivative and Antiderivative Methods)
Chain Rule / u-Substitution for Derivatives Notes and Bookmark
These notes cover finding derivatives using the chain rule (u-Substitution for derivatives). There is also a "cheat sheet" that you can print 2 pages to 1, then copy front to back. It will make 4 bookmarks (for the interactive journal) for your students. I used cardstock and my students found it helpful to just pull that out when they needed it. There is another product in the Texmathlete store that includes the bookmark and 7 "formula quizzes" to give the students. Mine did not need to know 10
9th - 12th, Higher Education
Calculus
Also included in: Calculus Part 3 Notes (Derivative and Antiderivative Methods)
Antiderivatives/Indefinite Integrals and Initial Conditions Notes
These notes follow the basic antiderivative notes and add in using an initial condition to determine a particular solution. It does include having students draw a slope field to SEE the solution they are finding. 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 write everything down - not for them to cram everything on the note page. They can use it as part of their interactive notebook OR they can staple/tape/glue it t
9th - 12th, Higher Education
Calculus
Basic Antiderivatives/Indefinite Integrals (Power Rule and Basic Trig) Notes
These notes cover introducing and finding antiderivatives of expressions using the power rule - as well as the six basic trig functions. 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 write everything down - not for them to cram everything on the note page. They can use it as part of their interactive notebook OR they can staple/tape/glue it to wherever they are taking notes. My students kept it out during the lecture
9th - 12th, Higher Education
Calculus, PreCalculus
Introduction to Slope Fields Assignment
This assignment covers the basics of slope fields. There is a note sheet that precedes this assignment found in the Texmathlete TPT store. Videos for the notes can be found on the FREE Calculus Slides and Videos for You and Your Students slides in the Texmathlete TPT store.
9th - 12th, Higher Education
Calculus
Introduction to Slope Fields Notes
These notes the basics of slope fields. 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 write everything down - not for them to cram everything on the note page. They can use it as part of their interactive notebook OR they can staple/tape/glue it to wherever they are taking notes. My students kept it out during the lecture and labeled their notes to reference it and it was taped/glued on one edge on the current or the
9th - 12th, Higher Education
Calculus
Introduction to Motion Notes
These notes the basics of motion on a line (2 dimensions) both analytically and graphically. There is also a graphic organizer (copy it 2 to a page for and interactive notebook). As always with my lessons, there is a focus on justifying answers. 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 write everything down - not for them to cram everything on the note page. They can use it as part of their interactive notebook
9th - 12th, Higher Education
Calculus, PreCalculus
Derivative Basics (Power Rule/Basic Trig) Notes
These notes cover simple and complex power rule and the six basic trig function problems. There is also a look at the continuity and differentiability of piece-wise functions. 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 write everything down - not for them to cram everything on the note page. They can use it as part of their interactive notebook OR they can staple/tape/glue it to wherever they are taking notes. My
9th - 12th, Higher Education
Calculus, PreCalculus
Vertical Asymptotes and One-Sided Limits Notes
These notes cover finding one-sided limits analytically and determining the equation for vertical asymptotes (and more on removable discontinuities). 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 write everything down - not for them to cram everything on the note page. They can use it as part of their interactive notebook OR they can staple/tape/glue it to wherever they are taking notes. My students kept it out durin
9th - 12th, Higher Education
Calculus, PreCalculus
Also included in: Calculus Part 1 Notes (From Attributes of Functions to Finding Limits)
Formal Definition of Continuity Notes
These notes cover the three parts of the formal definition of continuity, examining graphs and equations, and justifying your answers. 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 write everything down - not for them to cram everything on the note page. They can use it as part of their interactive notebook OR they can staple/tape/glue it to wherever they are taking notes. My students kept it out during the lecture a
9th - 12th, Higher Education
Calculus, PreCalculus
Also included in: Calculus Part 1 Notes (From Attributes of Functions to Finding Limits)
Calculus Slides and Videos for You and Your Students
This set of Google Slides contains links to videos that I have made. It is organized by subject and links for each subject are found in the first few slides. You will find note sheets that match the problems on the videos (if they don't all match exactly - most do - then they are remarkably similar) in my store Texmathletes as I get them uploaded. There are also assignments and activities that precede/follow the notes.
11th - 12th, Higher Education
Calculus
Also included in: Calculus Part 1 Notes (From Attributes of Functions to Finding Limits)
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