HSN-VM.B.4b

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- HSN-VM.B.4aAdd vectors end-to-end, component-wise, and by the parallelogram rule. Understand that the magnitude of a sum of two vectors is typically not the sum of the magnitudes.
- HSN-VM.B.4bGiven two vectors in magnitude and direction form, determine the magnitude and direction of their sum.
- HSN-VM.B.4cUnderstand vector subtraction v – w as v + (–w), where –w is the additive inverse of w, with the same magnitude as w and pointing in the opposite direction. Represent vector subtraction graphically by connecting the tips in the appropriate order, and perform vector subtraction component-wise.

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## HSN-VM.B.4b

## Given two vectors in magnitude and direction form, determine the magnitude and direction of their sum.

9 Lesson(s)

### Airplane! - An Introduction to Vectors

12th Grade Math »
Unit: Additional Trigonometry Topics

12th Grade Math »
Unit: Additional Trigonometry Topics

Big Idea:

#### Finding the magnitude and direction of an airplane's path will help launch the concept of vectors.

Standards:

Favorites
(15)

Resources
(24)

Reflections
(4)

### Unit Review Game: Categories

12th Grade Math »
Unit: Additional Trigonometry Topics

12th Grade Math »
Unit: Additional Trigonometry Topics

Big Idea:

#### The review game Categories is a fun way to review the Law of Sines, Law of Cosines, vectors, and complex numbers.

Standards:

Favorites
(4)

Resources
(9)

Reflections
(1)

### Resultant Vectors

12th Grade Math »
Unit: Additional Trigonometry Topics

12th Grade Math »
Unit: Additional Trigonometry Topics

Big Idea:

#### Students will work through problems with resultant vectors and make connections to right triangle trigonometry.

Standards:

Favorites
(2)

Resources
(8)

Reflections
(1)

### An Introduction to Free Body Diagrams

High School Physics »
Unit: Newton's Laws

High School Physics »
Unit: Newton's Laws

Big Idea:

#### Students use the vector nature of forces to draw free body diagrams.

Standards:

Favorites
(7)

Resources
(19)

Reflections
(1)

### Unit Review: Additional Trigonometry Topics

12th Grade Math »
Unit: Additional Trigonometry Topics

12th Grade Math »
Unit: Additional Trigonometry Topics

Big Idea:

#### Give your students time to grapple with the important concepts of this unit.

Standards:

Favorites
(1)

Resources
(6)

### Solving Problems with Vectors

12th Grade Math »
Unit: Vectors and Complex Numbers

12th Grade Math »
Unit: Vectors and Complex Numbers

Big Idea:

#### How can we model problems involving force, wind and other natural events?

Standards:

Resources
(11)

Reflections
(1)

### Midterm Exam

12th Grade Math »
Unit: Midterm Review and Exam

12th Grade Math »
Unit: Midterm Review and Exam

Big Idea:

#### The semester exam - a test for your students and for you!

Standards:

Resources
(4)

### 2-Dimensional Motion Test

High School Physics »
Unit: 2-D Kinematics

High School Physics »
Unit: 2-D Kinematics

Big Idea:

#### Students show off how much they've learned when taking today's unit test on vectors & projectiles.

Standards:

Favorites
(1)

Resources
(17)

Reflections
(2)

### Review

12th Grade Math »
Unit: Vectors and Complex Numbers

12th Grade Math »
Unit: Vectors and Complex Numbers

Big Idea:

#### Through graphic organizers students will review ideas of vectors and complex numbers.

Standards:

Resources
(3)

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