Section 4.1 - Angles and their Measures

Essential Question(s): 

Explain the various angle and arc measures.

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Follow these three steps to complete this "flip" lesson.

STEP 1: Preparation 
Title your spiral with the heading above and copy the essential question(s).

STEP 2: Vocabulary & Examples 
Copy and define the following of vocabulary. This can be any tables, properties, theorems, terms, phrases or postulates listed. Review the following examples and copy what is necessary for you. Use the guiding questions for your cornell notes.

The Problem of Angular Measure

• What is a central angle? (pg 350)
• Why 360 degrees? (pg 351)

Degrees and Radians

• What is DMS? (pg 351)
• How do you convert DMS measure? (Ex 1 pg 351)
• What is the line of travel? (pg 351)
• What is a Radian? (pg 351)
• What are the degree-radian conversions? (pg 353)
• How do you work with radian measure? (Ex 2 pg 352)

Circular Arc Length

• What is the arc length formula in radian measure? (pg 353)
• What is the arc length formula in degree measure? (pg 353)
• How  are the arc length formulas applied? (Ex 3 & 4 pg 353-354)

Angular and Linear Motion

• How can you use angular speed? (Ex 5 pg 354)
• What is a nautical mile? (pg 354)
• What is a statute mile? (pg 355)
• What are the conversions between statute and nautical miles? (pg 355)
• How do you convert to nautical miles? (Ex 6 pg 355)

STEP 3: Reading
Read the following page(s) and take any extra notes as needed.

• Read pages 350 - 355.
• Make sure to read the paragraphs between the examples.

Degrees

Radians

Statute vs. Nautical

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