Basic Trig

Explanation:

• Notes: DMS: Annotated | Radians: Annotated

• Khan: Introduction to Radians

• Khan: Radians & degrees

• Khan: Degrees to radians

• Khan: Radians to degrees

• Website that animates the number of radians in a circle

• website for conversion and exploring locations on a map by latitude and longitude

• Explanation and extra examples from purplemath (at the bottom of the page) 

Practice Problems:

• Worksheet #1 

• Khan Exercise: Degrees to Radians

Explanation:

• Notes | Annotated 

• Khan article: Hypotenuse, opposite, and adjacent

• Khan video: Intro to the trigonometric ratios

• Khan article: Trigonometric ratios in right triangles

• Khan article: Reciprocal trig ratios 

• Khan video: Finding reciprocal trig ratios

• Khan article: Trigonometric ratios review

• Khan video: Trigonometric ratios in right triangles

• Khan video:  Using reciprocal trig ratios

Practice Problems:

• Khan Exercise: Trigonometric ratios in right triangles

• Khan Exercise: Reciprocal Trig Functions 

• Worksheet

• Quizlet Flashcards: Trig Ratios

Explanation:

• Notes | Annotated

• Khan article: Solving for a side in right triangles with trigonometry

• Khan video: Solving for a side in right triangles with trigonometry

• Khan article: Intro to inverse trig functions

Practice Problems:

• Khan exercise: Solve for a side in right triangles

• Khan exercise: Solve for an angle in right triangles

• Worksheet #1 

Explanation:

• Khan article: Sine & cosine of complementary angles

• Khan video: Sine & cosine of complementary angles 

• Khan video: Using complementary angles 

Practice Problems:

• Solve Trig Equations & Review Representation WS

• Compare Sine and Cosine in a Triangle WS

• National Library of Virtual Mathematics: Right Triangle Solver (java based)

Explanation:

• Angle of Elevation and Depression: Notes | Annotated

• Two unknown sides: Annotated

• Khan video: Right triangle word problem

• Khan article: Angles of elevation and depression

• Khan article: Right triangle trigonometry review

• Website - "10 most dangerous landing strips in the world"

Practice Problems:

• Khan Exercise: Right triangle word problems

• Worksheet #1 

Explanation:

• Given two angles and a side: Notes | Annotated

• Khan video: Solving for a side with the law of sines

• Khan video: Solving for an angle with the law of sines

• Khan video: Proof of the law of sines

Practice Problems

• Khan exercise: Solve triangles using the law of sines

• Worksheet #1

Explanation:

• Notes | Annotated

• Khan video: Solving for a side with the law of cosines

• Khan video: Solving for an angle with the law of cosines

• Khan video: Proof of the law of cosines

Practice Problems

• Khan exercise: Solve triangles using the law of cosines

• Law of cosines worksheet #1

Explanation

• Notes| Answers

• Khan video: Trig word problem: stars

• Khan article: Laws of sines and cosines review

Practice Problems:

• Worksheet #1 

• Khan Exercise: General triangle word problems

Explanation

• Notes | Annotated Notes

• How to use a compass:

  • video from REI

  • Instructions

Practice Problems

• Worksheet #1 | Answers

• Worksheet #2

• Navigation Experiment

Explanation:

• Vectors: Notes | Annotated | Animation

• Website: Relative Velocity and Riverboat Problems

• The Physics Classroom

• Vectors components act independently of each other:

  • video #1

  • video #2

• Khan video: Intro to vectors and scalars

• Khan video: Representing quantities with vectors

• Khan video: Equivalent vectors

• Khan video: Components of vectors

• Khan video: Components of vectors (example 2)

• Khan video: Vector magnitude from graph

• Khan video: Vector magnitude from components

• Khan video: Vector magnitude from initial & terminal points

• Khan video: Scalar multiplication of vectors

• Khan video: Adding & subtracting vectors

• Khan video: Combined vector operations

Practice Problems:

• Khan Exercise: Equivalent vectors

• Khan Exercise: Components of vectors

• Khan Exercise: Magnitude of vectors

• Khan Exercise: Scalar multiplication

• Khan Exercise: Add & subtract vectors

• Khan Exercise: Combined vector operations

• Worksheet #1

• Vector addition interactive game

Explanation:

• Vectors: Notes | Annotated

• Khan video: Unit vectors intro

• Khan video: Representing quantities with vectors

• Khan video: Interpreting statements about vectors

• Khan video: Introduction to vector components

• Khan video: Finding the components of a vector (using the initial and terminal points)

• Khan video: Vector magnitude from graph

• Khan video: Vector magnitude from components

• Khan video: Vector magnitude from initial & terminal points

• Khan video: Scalar multiplication: component form

• Khan video: Scalar multiplication: magnitude and direction

• Khan video: Direction of vectors from components: 1st & 2nd quadrants

• Khan video: Direction of vectors from components: 3rd & 4th quadrants

• Khan article: Vector forms review

• Khan video: Vector components from magnitude & direction

• Khan article: Vector components from magnitude & direction (advanced)

• Khan article: Vector magnitude and direction review

• Khan video: Vectors word problem: pushing a box

• Khan video: Vectors word problem: hiking

Practice Problems:

• Khan exercise: Vectors intro

• Khan exercise: Components of vectors from endpoints

• Khan exercise: Scalar Multiplication

• Khan exercise: Direction of vectors

• Khan exercise: Vector components from magnitude & direction

• Khan exercise: Add vectors: magnitude & direction to component

• Khan exercise: Add vectors: magnitude & direction

• Khan exercise: Vector word problems

• Worksheet #1 | Answers

Explanation

• Notes | Annotated

• website with video

Practice Problems

• Worksheet #1 | Answers

Review Notes

Trig Ratios Unit Quizlet Flashcards

Review WS#1 | Answers

Review WS #2 | Answers