Alg2 Lesson 4T.2: Determining Equivalent Angle Measures

Lesson 4T.2: Determining
Equivalent Angle Measures

Obj: I can convert between degrees and radians.

EQ: How do I convert degrees to radians?

Lesson Goals:
● Creative Thinking
● Talk through controversies and conflict
● Recognize and reduce ambiguity
● Encourage thinking based on formulas and prior info
● Help explain ideas to each other
● Own your ideas and work
● Record ideas in your journal
● Answer Questions on Slides
● Follow your team roles

Roles:
Facilitator
Scribe
Resourcer
Includer

Facilitator

• Make sure that all peers are staying on task.

• Give advice or suggestions to resolve the problem.

• Be sure everyone is able to explain.

Scribe

• Make sure peers organize their results on their own papers.

• Remind peers to use color, arrows, and other math tools to
communicate your mathematics, reasons, and connections.

• Be ready to join the teacher for a huddle.

Resourcer

• Make sure peers are getting the materials needed.

• Make sure that all materials are put away neatly.

• Make sure that peers are logged in to the needed site.

• Help troubleshoot any technology difficulties that may arise.

Includer

• Make sure that all peers are talking about their work.

• Helps keep peers’ voice volume low.

• Encourages everyone to ask questions.

• Communicates conflicts or questions to the teacher.

● Check off tasks & skills on calendar.

● Select skills to work on.

● Work on Deltamath.

Remember to work on the following too…

Part 1: Partitioning a Circle

Suppose that a satellite circles the Earth with an orbit
that has a radius of 160 kilometers (km).

What is the length (circumference) of the satellite’s
orbit around the Earth?

What is the measure of the angle, in radians, that the
satellite sweeps out in one full orbit around the Earth?

Dropdown

Suppose that a satellite circles the Earth with an orbit that has a radius of 160 kilometers (km). The circumference of the orbit is ​

Select answer

km, which is the length of the satellite’s orbit around the Earth. The measure of the angle that the satellite sweeps out in one full orbit around the Earth can be determined by dividing the ​

Select answer

by the ​

Select answer

: ​

Select answer

= ​

Select answer

radians

Handout 4T.2.A: How Many Radians?

Draw

Draw a spaceship.

Part 2: Converting Between

Units of Angle Measure

Reorder

Order from least to greatest.

• 1/6

• 2/3

• 3/4

• 4/3

• 3/2

1

2

3

4

5

• 1
• 2
• 3
• 4
• 5

Match

Match each radian with its equivalent degree.

• π/6

• 3π/4

• 2π/3

• 3π/2

• π/2

30°

135°

120°

270°

90°

• 30°

• 135°

• 120°

• 270°

• 90°

Handout 4T.2.B: Converting Between Units of Angle Measure

Handout 4T.2.C: Practice with Radians & Degrees

Random Question of the Day Time

https://wheelofnames.com/4ke-epz e’ll spin
the wheel as a class and spend a minute or
so discussing our answers.