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Free high school calculus scaffolded notes

Preview of Properties of Limits (AP Calculus Unit 1)

Properties of Limits (AP Calculus Unit 1)

⭐⭐ This AP Calculus 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 Properties of Limits.⭐⭐✅Lesson 1.3 Properties of Limits is a two-day lesson with an emphasis on the College Board Standard:LIM-1.C: Estimate limits of functions. ✅ What is included in this resource?⭐ Guided Student Notes⭐ Video Lesson Link for Distance Learning - Flipped Classroom models⭐ Google Slides®⭐ Fully-editable SMART
Preview of Radians, Degrees and Angles Guided Notes - Trigonometry

Radians, Degrees and Angles Guided Notes - Trigonometry

Created by
Math with Hart
Guided Notes for Trigonometry to guide inquiry and review basic terms regarding angles.These notes also introduce degrees and guide students through converting between angles and degrees.Whats included:2 page guided notes setguided notes answer key
Preview of AP Calculus AB - Unit 4 Guided Practice/Lecture Notes (PDF)

AP Calculus AB - Unit 4 Guided Practice/Lecture Notes (PDF)

AP Calculus - Unit 4 (Reflecting the New CED) - Guided Practice/Class NotesThis .PDF file contains complete notes for the entirety of Unit 4 under the CED for AP Calculus AB as set forth by the College Board in 2019.Topics within the document contain specific examples tailored to each topic within the unit as well as activities to expand students' understandings.Each topic's headings feature the Big Idea (CHA, LIM or FUN) as well as the color-coded Mathematical Practice along with the Learning
Preview of Concept of Instantaneous Rate of Change Guided Notes

Concept of Instantaneous Rate of Change Guided Notes

Your AP Calculus students will interpret the rate of change at an instant in terms of average rates of change over intervals containing that instant.Try my FREE set of Guided Student Notes for the new AP College Board topics. Each of my lessons will provide your students with rigorous examples related to the newest AP Calculus AB and BC curriculum concepts. Teachers also have the benefit of a fully-editable SMART Board® Lesson for presentation and discussion, along with homework assignments, con
Preview of AP Calculus AB - Unit 1 Guided Practice/Lecture Notes (DOC)

AP Calculus AB - Unit 1 Guided Practice/Lecture Notes (DOC)

AP Calculus - Unit 1 (Reflecting the New CED) - Guided Practice/Class NotesThis .DOC file contains complete notes for the entirety of Unit 1 under the CED for AP Calculus AB as set forth by the College Board in 2019.Topics within the document contain specific examples tailored to each topic within the unit as well as activities to expand students' understandings.Each topic's headings feature the Big Idea (CHA, LIM or FUN) as well as the color-coded Mathematical Practice along with the Learning
Preview of 5 Practices for Math Discussions - Planning Tool

5 Practices for Math Discussions - Planning Tool

We all would like to have our students discuss more and develop better communication skills in the math classroom. In reading, NTCM’s 5 Practices for Orchestrating Productive Mathematics Discussions, I learned that this is possible and doable! To spark deeper discourse in the math classroom, the teacher must plan before instruction and take detailed notes during instruction. Here, is a planning tool that supports all 5 stages: anticipation, monitor, select, sequence, and connect. It also include
Preview of AP Calculus AB - Unit 5 Guided Practice/Lecture Notes (PDF)

AP Calculus AB - Unit 5 Guided Practice/Lecture Notes (PDF)

AP Calculus - Unit 5 (Reflecting the New CED) - Guided Practice/Class NotesAnalytical Applications of DifferentiationThis .PDF file contains complete notes for the entirety of Unit 5 under the CED for AP Calculus AB as set forth by the College Board in 2019.Topics within the document contain specific examples tailored to each topic within the unit as well as activities to expand students' understandings.Each topic's headings feature the Big Idea (CHA, LIM or FUN) as well as the color-coded Math
Preview of AP Calculus AB - Unit 1 Guided Practice/Class Notes (PDF)

AP Calculus AB - Unit 1 Guided Practice/Class Notes (PDF)

AP Calculus - Unit 1 (Reflecting the New CED) - Guided Practice/Class NotesThis .PDF file contains complete notes for the entirety of Unit 1 under the CED for AP Calculus AB as set forth by the College Board in 2019.Topics within the document contain specific examples tailored to each topic within the unit as well as activities to expand students' understandings.Each topic's headings feature the Big Idea (CHA, LIM or FUN) as well as the color-coded Mathematical Practice along with the Learning
Preview of AP Calculus - Unit 8 Guided Practice/Lecture Notes (PDF)

AP Calculus - Unit 8 Guided Practice/Lecture Notes (PDF)

AP Calculus - Unit 8 (Reflecting the New CED) - Guided Practice/Class NotesApplications of IntegrationThis .PDF file contains complete notes for the entirety of Unit 8 under the CED for AP Calculus AB as set forth by the College Board in 2019.Topics within the document contain specific examples tailored to each topic within the unit as well as activities to expand students' understandings.Each topic's headings feature the Big Idea (CHA, LIM or FUN) as well as the color-coded Mathematical Practi
Preview of AP Calculus - Unit 7 Guided Practice/Lecture Notes (PDF)

AP Calculus - Unit 7 Guided Practice/Lecture Notes (PDF)

AP Calculus - Unit 7 (Reflecting the New CED) - Guided Practice/Class NotesDifferential EquationsThis .PDF file contains complete notes for the entirety of Unit 7 under the CED for AP Calculus AB as set forth by the College Board in 2019.Topics within the document contain specific examples tailored to each topic within the unit as well as activities to expand students' understandings.Each topic's headings feature the Big Idea (CHA, LIM or FUN) as well as the color-coded Mathematical Practice al
Preview of AP Calculus BC - Unit 10B (10.11-10.15) Guided Practice/Lecture Notes (PDF)

AP Calculus BC - Unit 10B (10.11-10.15) Guided Practice/Lecture Notes (PDF)

AP Calculus - Unit 10B (Reflecting the New CED) - Guided Practice/Class NotesTaylor and Maclaurin SeriesThis .PDF file contains complete notes for Topics 10.11-10.15 of Unit 10 under the CED for AP Calculus BC as set forth by the College Board in 2019.Topics within the document contain specific examples tailored to each topic within the unit as well as activities to expand students' understandings.Each topic's headings feature the Big Idea (CHA, LIM or FUN) as well as the color-coded Mathematic
Preview of Pre-Calculus Review for Calculus (Annotated Lectures)

Pre-Calculus Review for Calculus (Annotated Lectures)

Created by
Trenton Vanhuss
Use the following resources to help your students brush up on their Pre- Calculus skills as they begin to take on the challenge that is Calculus.The following file includes Annotated 2 slides lectures to be used as a guide for your instruction. The first on basic functions and their characteristics such as domain and range, transformations, piecewise functions, compositions, and notation. It is a lot and if it helps, I did split this first introductory lecture across two 45 min class periods. Th
Preview of Pre-Calculus Review For Calculus (Blank Slides Lectures)

Pre-Calculus Review For Calculus (Blank Slides Lectures)

Created by
Trenton Vanhuss
Use the following resources to help your students brush up on their Pre- Calculus skills as they begin to take on the challenge that is Calculus.The following file includes 2 slides lectures to be used as a guide for your instruction. The first on basic functions and their characteristics such as domain and range, transformations, piecewise functions, compositions, and notation. It is a lot and if it helps, I did split this first introductory lecture across two 45 min class periods. The second l
Preview of Lesson Plan - The Power Rule

Lesson Plan - The Power Rule

Created by
Robert Shorr
Lesson plan, notes, and sample problems for teachers and students on the key calculus concept of the power rule for derivatives
Preview of AP Calculus AB - Unit 6 Guided Practice/Lecture Notes (PDF)

AP Calculus AB - Unit 6 Guided Practice/Lecture Notes (PDF)

AP Calculus - Unit 6 (Reflecting the New CED) - Guided Practice/Class NotesIntegration and Accumulation of ChangeThis .PDF file contains complete notes for the entirety of Unit 6 under the CED for AP Calculus AB as set forth by the College Board in 2019.Topics within the document contain specific examples tailored to each topic within the unit as well as activities to expand students' understandings.Each topic's headings feature the Big Idea (CHA, LIM or FUN) as well as the color-coded Mathemat
Preview of AP Calculus BC (Calculus 2) - Unit 6-BC Guided Practice/Lecture Notes (PDF)

AP Calculus BC (Calculus 2) - Unit 6-BC Guided Practice/Lecture Notes (PDF)

AP Calculus BC - Unit 6-BC (Reflecting the New CED) - Guided Practice/Class NotesAdvanced Integration TechniquesThis .PDF file contains complete notes for the small portion of Unit 6 (Topics 6.11-6.13) under the CED for AP Calculus BC as set forth by the College Board in 2019.Topics within the document also contain the following topics NOT tested on the AP Calculus Exam but that are often found in a college Calculus 2 course including:Trigonometric Integrals (I call this Topic 6.15)Integratio
Preview of AP Calculus BC (Calculus 2) - Unit 7-BC Guided Practice/Lecture Notes (PDF)

AP Calculus BC (Calculus 2) - Unit 7-BC Guided Practice/Lecture Notes (PDF)

AP Calculus BC - Unit 7-BC (Reflecting the New CED) - Guided Practice/Class NotesAdvanced Integration TechniquesThis .DOC file contains complete notes for the small portion of Unit 7 (Topics 7.5 and 7.9 along with a review of DEQ from Calculus AB) under the CED for AP Calculus BC as set forth by the College Board in 2019.The Unit begins with a re-cap of Differential Equations from Calculus AB aptly titled Topic 7.Rev.This Guided Notes practice is perfect for schools who offer a second year co
Preview of Derivatives of Log Functions & Logarithmic Differentiation (Full + Scaffolded)

Derivatives of Log Functions & Logarithmic Differentiation (Full + Scaffolded)

This Calculus I lecture covers the following topics:The derivative of logarithmic functions (of all bases) - with proof.Logarithmic differentiation.+ examples scattered throughout.The first 4 pages are filled-in lecture notes for use by the teacher. The last 4 pages are scaffolded notes to be distributed to the students to be filled out during the lesson.Alternately, the first 4 pages can be used as a stand-alone lesson notes for the teacher to use.For the filled notes only, click here.Here is
Preview of AP Calculus AB - Unit 3 Guided Practice/Lecture Notes (PDF)

AP Calculus AB - Unit 3 Guided Practice/Lecture Notes (PDF)

AP Calculus - Unit 3 (Reflecting the New CED) - Guided Practice/Class NotesThis .PDF file contains complete notes for the entirety of Unit 3 under the CED for AP Calculus AB as set forth by the College Board in 2019.Topics within the document contain specific examples tailored to each topic within the unit as well as activities to expand students' understandings.Each topic's headings feature the Big Idea (CHA, LIM or FUN) as well as the color-coded Mathematical Practice along with the Learning
Preview of AP Calculus AB - Unit 2 Guided Practice/Lecture Notes (PDF)

AP Calculus AB - Unit 2 Guided Practice/Lecture Notes (PDF)

AP Calculus - Unit 2 (Reflecting the New CED) - Guided Practice/Class NotesThis .PDF file contains complete notes for the entirety of Unit 2 under the CED for AP Calculus AB as set forth by the College Board in 2019.Topics within the document contain specific examples tailored to each topic within the unit as well as activities to expand students' understandings.Each topic's headings feature the Big Idea (CHA, LIM or FUN) as well as the color-coded Mathematical Practice along with the Learning
Preview of AP Calculus BC - Unit 10A (10.1-10.10) Guided Practice/Lecture Notes (PDF)

AP Calculus BC - Unit 10A (10.1-10.10) Guided Practice/Lecture Notes (PDF)

AP Calculus - Unit 10A (Reflecting the New CED) - Guided Practice/Class NotesConvergence of SeriesThis .PDF file contains complete notes for Topics 10.1-10.10 of Unit 10 under the CED for AP Calculus BC as set forth by the College Board in 2019.Topics within the document contain specific examples tailored to each topic within the unit as well as activities to expand students' understandings.Each topic's headings feature the Big Idea (CHA, LIM or FUN) as well as the color-coded Mathematical Prac
Preview of AP Calculus BC - Unit 9B (9.7-9.9) Guided Practice/Lecture Notes (PDF)

AP Calculus BC - Unit 9B (9.7-9.9) Guided Practice/Lecture Notes (PDF)

AP Calculus - Unit 9B (Reflecting the New CED) - Guided Practice/Class NotesPolar Coordinates, Equations and CalculusNote: My previous Guided Notes for Unit 9A contained Parametric and Polar where Unit 9B was Vectors. During the 2021-22 school year, I adjusted my sequence to now feature Parametric and Vectors in Unit 9A where Polar Equations only are featured in Unit 9BThis .PDF file contains complete notes for Topics 9.7-9.9 of Unit 9 under the CED for AP Calculus BC as set forth by the Colle
Preview of AP Calculus BC - Unit 9A Guided Practice/Lecture Notes Topics 9.1-9.6 (PDF)

AP Calculus BC - Unit 9A Guided Practice/Lecture Notes Topics 9.1-9.6 (PDF)

AP Calculus - Unit 9A (Reflecting the New CED) - Guided Practice/Class NotesParametric Equations and VectorsThis .PDF file contains complete notes for Topics 9.1-9.6 of Unit 9 under the CED for AP Calculus AB as set forth by the College Board in 2019.A separate files can be found for Unit 9B - Polar Equations and Calculus elsewhere on this site.Topics within the document contain specific examples tailored to each topic within the unit as well as activities to expand students' understandings.Eac
Preview of AP Calculus BC (Calculus 2) - Unit 8-BC Guided Practice/Lecture Notes (PDF)

AP Calculus BC (Calculus 2) - Unit 8-BC Guided Practice/Lecture Notes (PDF)

AP Calculus BC - Unit 8-BC (Reflecting the New CED) - Guided Practice/Class NotesAdvanced Applications of IntegrationThis .PDF file contains complete notes for the small portion of Unit 8 (Topic 8.13) under the CED for AP Calculus BC as set forth by the College Board in 2019.Topics within the document also contain the following topics NOT tested on the AP Calculus Exam but that are often found in a college Calculus 2 course including:Volumes by Cylindrical ShellsSurface Areas of Solids of Revo
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