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Do Now (Reflection)

Do Now (Reflection) . Take a protractor from the front of the room. Take out your compass. Answer the following questions in your notebook: How did I feel about the first unit test? (Level of difficulty, level of preparation)

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Do Now (Reflection)

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  1. Do Now (Reflection) • Take a protractor from the front of the room. • Take out your compass. • Answer the following questions in your notebook: • How did I feel about the first unit test? (Level of difficulty, level of preparation) • What (if anything) will I do differently to prepare for the second unit test? • What can Ms. Forsyth do to help me better in unit 2?

  2. Intro to Angles Unit 2

  3. Today’s Objectives • Reflect on Unit 1 • Show the measurement of angles and segments on figures • Measure angles using a protractor • Explain congruence of angles • Use problem solving skills

  4. Overall Test Results

  5. Period 1

  6. Period 2

  7. Period 4

  8. Period 5

  9. Period 6

  10. Angle • An angle is formed by two (noncollinear) rays that share a common endpoint. • The common endpoint of the two rays is the vertex of the angle. • The two rays are the sides of the angle.

  11. Naming an angle • By three letters with the vertex in the middle • Or by just the vertex letter ONLY IF it there is only one angle with that vertex. • Can also be named by a number or a variable.

  12. Practice • Name all the angles in this drawing

  13. The measure of an angle • The smallest amount of rotation about the vertex from one ray to the other, measured in degrees. • Can be any value between 0o and 180o.

  14. Reflex measure of an angle • The largest amount of rotation less than 360o. • The measure of an angle and the reflex measure of an angle always add up to 360o.

  15. How to measure an angle • With a protractor! • Step 1: Place the center mark of the protractor on the vertex of the angle you want to measure. • Step 2: Line up the 0-mark with one side of the angle. • Step 3: Read the measure on the protractor scale. • Step 4: Be sure you read the scale that has the 0-mark you are using!

  16. To show the measure of an angle • Use an m before the angle symbol. • For example, m CAB=30o.

  17. Congruent angles • Two angles are congruent if and only if they have equal measure. • Use identical markings to show that two angles in a figure are congruent. • Two types of markings for angles

  18. Angle Bisectors • A ray is an angle bisector if it contains the vertex and divides the angle into two congruent angles.

  19. Name the angle bisector • A

  20. Clock hands • Find the angle formed by the hands of a clock at 2:00

  21. Practice • Name this angle in 3 different ways.

  22. Practice • Draw and label the angles • TAN • m BIG = 35o.

  23. Today’s Objectives • Reflect on Unit 1 • Show the measurement of angles and segments on figures • Measure angles using a protractor • Explain congruence of angles • Use problem solving skills

  24. Homework • Complete your “1.2 Poolroom Math” worksheet by tomorrow.

  25. Group Exit Slip! • What is the relationship between the measure of an angle and the reflex measure of an angle? • Using a protractor, draw a clock face with hands to show 8:00. • Measure the angle formed by your clock hands in #2 and use correct notation to write the measure of the angle. • Draw a figure that contains at least three angles and includes an angle bisector. Mark any congruent angles.

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