# Calculus: The Dot Product of Two Vectors

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1. This is the bundled unit for UNIT 8: PARAMETRICS, POLARS AND VECTORS for AP Calculus BC topics.Each lesson provides:✎ A set of Guided Notes which is a full-sheet skeleton format of the lesson, ✎ Teachers have a fully-editable SMART Board® presentation that matches set of Guided Notes.The bundle incl
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2. This is an AP CALCULUS BC CURRICULUM for students enrolled in AP CALCULUS BC, or CALCULUS 2. The lessons and presentations are aligned to College Board® AP Standards. The lessons cover only the topics specific to AP Calculus BC.What is included in each unit lesson:✎ A set of Guided Notes which is a
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Product Description
This is the sixth lesson in an eight-lesson unit on Parametrics, Polars, and Vectors for students enrolled in AP Calculus BC or Calculus 2. It is designed to review the vector operations from Pre-Calculus Honors in case your students have a weakness in those concepts.

Every lesson includes
✎ A set of Guided Student Notes
✎ A daily homework assignment
✎ Two forms of a daily homework quiz or exit ticket
✎ Teachers also have the benefit of a fully-editable SMART Board® Lesson for presentation and discussion.

Lesson Objective:
★ Calculate dot product
★ Find angle between two vectors
★ Find the projection of vectors
★ Use vectors to solve Work and decompose vectors to find components

This lesson is a "crash Course" for students that may not have seen the concepts of Vectors in Pre-Calculus. The lesson aligns to the following Common Core Standards and Learning Objectives:

★ HSN.VM.A.1
★ HSN.VM.A.2
★ HSN.VM.B.4
★ HSN.VM.B.4.A
★ HSN.VM.B.4.B

The unit includes the following topics:
1. Parametric Equations and Plane Curves
2. Parametric Equations and Calculus
3. Polar Coordinates and Graphs
4. Area and Arc Length in Polar Coordinates
5. Vectors in the Plane
6. The Dot Product of Two Vectors
7. Vector-Valued Functions
8. Velocity and Acceleration of Vector Functions

The SMART Board lesson can be used in many ways.
Teachers can display the presentation using the following:
* SMART Board®
* Airliner Wireless Slate
* SMART Notebook for IPAD App
* Through the SMART Notebook Express ®
* Other APPS available for Tablets

If you have any questions or comments

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Total Pages
8 pages
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Teaching Duration
50 minutes
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