1. Warm Up
Problem of the Day
Lesson Presentation
Lesson Quizzes

2. Math Journal (5 Min)
K-W-L - Each student will be given the title of the lesson that will be taught that day. They must then, at the beginning of class, write the “K” what they know and “W” what they want to know about the lesson before they have been taught the lesson, and at the end of class, write the “L” what they now know (Learned) about the lesson after they have been taught the lesson. Then, each student will discuss his/her answers within their group. Finally, to leave class, each student will have to give/write 1 sentence that they learned that pertained to the lesson.

3. Homework Review (5 Min)

4. Warm Up
Draw each figure.
1. line segment
2. line
3. ray
4. plane

5. Problem of the Day
Find the measure of the smaller angle between the hour and minute hands on a clock at eight o’clock?
120°

6. Textbook Examples (I Do) (5 Min)

7. Learn to identify angles and angle pairs.

8. Vocabulary angle vertex right angle acute angle obtuse angle
straight angle
complementary angles
supplementary angles

9. Angles are measured in degrees (°).C B 1
Vertex
An angle is formed by two rays with a common endpoint. The two rays are the sides of the angle. The common endpoint is the vertex.
Angles are measured in degrees (°).

10. An angle’s measure determines the type of angle it is.
A right angle is an angle that
that measures exactly 90°. The
symbol indicates a right angle.
An acute angle is an angle
that measures less than 90°.
An obtuse angle is an angle
that measures more than 90°
but less than 180°.
A straight angle is an angle
that measures exactly 180°.

11. Additional Example 1: Classifying Angles
Tell whether each angle is acute, right, obtuse or straight. A. B.
obtuse angle
acute angle

12. You can name this angle ABC, CBA, B, or 1. Reading Math

13. Check It Out: Example 1
Tell whether each angle is acute, right, obtuse, or straight. B. A.
straight angle
acute angle

14. If the sum of the measures of two angles is
90°, then the angles are complementary
angles. If the sum of the measures of two
angles is 180°, then the angles are
supplementary angles.

15. Additional Example 2A: Identifying Complementary and Supplementary Angles
Use the diagram to tell whether the angles are complementary, supplementary, or neither.
OMP and PMQ
To find mPMQ start with the measure that QM crosses, 105°, and subtract the measure that MP crosses, 75°. mPMQ = 105° - 75° = 30°. mOMP = 60°. O N P Q R M
Since 60° + 30° = 90°, PMQ and OMP are complementary.

16. If the angle you are measuring appears obtuse, then its measure is greater than 90°. If the angle is acute, its measure is less than 90°.
Reading Math

17. Additional Example 2B: Identifying Complementary and Supplementary Angles
Use the diagram to tell whether the angles are complementary, supplementary, or neither.
NMO and OMR
mNMO = 15° and mOMR = 165°
Since 15° + 165° = 180°, NMO and OMR are supplementary. O N P Q R M
Read mNMO as “the measure of angle NMO.”
Reading Math

18. 8-2
Additional Example 2C: Identifying Complementary and Supplementary Angles
Use the diagram to tell whether the angles are complementary, supplementary, or neither.
PMQ and QMR
To find mPMQ start with the measure that QM crosses, 105°, and subtract the measure that MP crosses, 75°. mPMQ = 105° - 75° = 30°. mQMR = 75°. O N P Q R M
Since 30° + 75° = 105°, PMQ and QMR are neither complementary nor supplementary.

19. Check It Out: Example 2A
Use the diagram to tell whether the angles are complementary, supplementary, or neither.
BAC and CAF
mBAC = 35° and mCAF = 145°
Since 35° + 145° = 180°, BAC and CAF are supplementary. C B D E F A

20. Check It Out: Example 2B
Use the diagram to tell whether the angles are complementary, supplementary, or neither.
CAD and EAF
To find mCAD start with the measure that DA crosses, 90°, and subtract the measure that CA crosses, 35°. mCAD = 90° - 35° = 55°. mEAF = 35°. C B D E F A
Since 55° + 35° = 90°, CAD and EAF are complementary.

21. Check It Out: Example 2C
Use the diagram to tell whether the angles are complementary, supplementary, or neither.
BAC and EAF
mBAC = 35° and mEAF = 35°
Since 35° + 35° = 70°, BAC and EAF are neither supplementary nor complementary. C B D E F A

22. Additional Example 3: Finding Angle Measures
Angles A and B are complementary. If mA is 56°, what is the mB?
Since A and B are complementary, mA + mB = 90°.
mA + mB = 90°
56° + mB = 90°
Substitute 56° for mA.
– 56° – 56°
Subtract 56° from both sides.
mB = 34°
The measure of B = 34°.

23. Check It Out: Example 3
Angles P and Q are supplementary. If mP is 32°, what is the mQ?
Since P and Q are supplementary, mP + mQ = 180°.
mP + mQ = 180°
32° + mQ = 180°
Substitute 32° for mP.
– 32° – 32°
Subtract 32° from both sides..
mQ = 148°
The measure of Q = 148°.

24. Class work Problems (We Do) (10 Min)
Pg (1-9)

27. Small Group CW(Yall Do) (10 Min)
Pg (10-26 EOE)

30. Homework (You Do) (10 Min)
Pg (11, 15, 17, 19, 23 odd)

31. Math Journal (5 Min)
K-W-L - Each student will be given the title of the lesson that will be taught that day. They must then, at the beginning of class, write the “K” what they know and “W” what they want to know about the lesson before they have been taught the lesson, and at the end of class, write the “L” what they now know (Learned) about the lesson after they have been taught the lesson. Then, each student will discuss his/her answers within their group. Finally, to leave class, each student will have to give/write 1 sentence that they learned that pertained to the lesson.

32. Lesson Quizzes
Standard Lesson Quiz
Lesson Quiz for Student Response Systems

33. Lesson Quiz: Part I
Tell whether each angle is acute, right, obtuse, or straight. 1.
straight 2.
obtuse

34. Lesson Quiz: Part II
Use the diagram to tell whether the angles are complementary, supplementary, or neither.
3. AZB and BZC
neither
4. BZC and CZD
complementary
5. Angles M and N are supplementary. If mM is 117°, what is mN?
63°

35. Lesson Quiz for Student Response Systems
1. Identify the type of the given angle.
A. acute
B. obtuse
C. right
D. straight

36. Lesson Quiz for Student Response Systems
2. Identify the type of the given angle.
A. acute
B. obtuse
C. right
D. straight

37. Lesson Quiz for Student Response Systems
3. Use the diagram to identify the type of the given pair of angles. mAOB and mBOD
A. complementary
B. supplementary
C. right
D. none

38. Lesson Quiz for Student Response Systems
4. Angles A and B are complementary. If mA is 36°, what is mB?
A. 54°
B. 90°
C. 126°
D. 144°