Programs Precalculus Lecture PDFs
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Programs & methods
Trigonometry Guided Notes - Teacher Edition
High School & Introductory College Trigonometry: These are fully completed, instructor-ready guided notes covering the full scope of a standard trigonometry course that provide clear explanations, mathematically accurate notation, and fully worked examples to support lecture preparation and instructional consistency. These notes align with the topics taught in a standard precalculus trigonometry course, including unit circle, radian measure, trigonometric functions, identities, and equations, ma
10th - 12th, Higher Education
Applied Math, Other (Math), PreCalculus
Also included in: Algebra & Trigonometry Guided Notes – Teacher Edition Bundle
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
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
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
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
Also included in:Â Calculus Part 2 Notes (Derivative, Motion, Slope Fields, Euler's, Antideriv)
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:Â Calculus Part 1 Notes (From Attributes of Functions to Finding Limits)
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
Also included in:Â Calculus Part 2 Notes (Derivative, Motion, Slope Fields, Euler's, Antideriv)
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
Also included in:Â Calculus Part 2 Notes (Derivative, Motion, Slope Fields, Euler's, Antideriv)
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
Also included in:Â Calculus Part 2 Notes (Derivative, Motion, Slope Fields, Euler's, Antideriv)
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:Â 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:Â Calculus Part 1 Notes (From Attributes of Functions to Finding Limits)
Mathematics Stories: Given tough x-intercepts, finding the VERTEX of a PARABOLA
For years and years of teaching advanced mathematics, I always just found the vertex of a parabola by completing the square. In challenging top end students, I'd give them "raunchy" x-intercepts and have them find the vertex. I taught the algorithm in this product, and figured that every textbook would do the same. I used to have dozens of old Algebra 2 and Pre-Calculus textbooks. The step by step procedure was not in any of them. I hope that all of you who teach HONORS level mathematics will
9th - 12th
Algebra, Algebra 2, PreCalculus
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