MATH 4 MATATAG PPT QUARTER WEEK 1 POWERP

Math 6

1. MATH 1 4 MATATAG CURRICULUM

2. QUARTER 1 2 Week 1 Day 1

3. Illustrate and define different angles (right, acute, and obtuse) using models.

4. New Lesson Daily Routine 1. Prayer 2. Greetings 3. Classroom Agreement 4. Checking of Attendance

5. Ask: what have you learned about the song?

6. The students will try to answer this worksheet:

7. This morning we are going to learn about angle

8. What is angle?

9. An angle   is a geometrical figure formed when two rays meet at a common point called vertex . 

10. This is the symbol for angle: ∠

11. There are 3 types of angle   Let’s take a look at the clocks showing the respective times Lola Remy, Lola Inday and Lola Nancy take their vitamins.

12. At 9:00, the minute and hour hands of the clock form an angle which measures 90˚. This angle, like all angles which measure 90˚, is called a right angle.

13. At 2:00, the minute and hour hands of the clock form an angle which measures 60˚. This is between 0˚ and 90˚ The angle here, like all other angles which measure between 0˚ and 90˚, is called an acute angle.

14. At 5:00, the minute and hour hands of the clock form an angle which measures 150˚. This is between 90˚ and 180˚ The angle here, like all other angles which measure between 90˚ and 180˚, is called an obtuse angle.

15.   An angle is formed by two rays with a common endpoint.

16. In the figure below, Rays BA and BC have B as their common endpoint and they form angle ∠ ABC. Using symbols, we write , which is read as “angle ABC”. The angle may also be called ∠ CBA.

17. The angle above may also be named as ∠ 1, or simply ∠ B.

18.   ACUTE ANGLE an angle whose measure is less than 90 degrees.

19. RIGHT ANGLE An angle whose measure is 90 degrees

20. OBTUSE ANGLE An angle whose measure is bigger than 90 degrees but less than 180 degrees

21. Direction: What kind of angles are the following?

22. Ask the pupils   What angles measure less than 90 °? What angles measure exactly 90°? What angles measure more than 90 ° but less than 180°?

23. Directions: Answer the following questions. Write the letter of the correct answer on a sheet of paper.

24. 1. Which angle measures 90 degrees and forms a square corner? A. acute angle B. right angle C. obtuse angle D. straight angle   2. Which angle measures less than 90 degrees and smaller than a right angle?   A. acute angle B. right angle C. obtuse angle D. straight angle

25. 3. Which angle measures more than 90 degrees? A. acute angle B. right angle C. obtuse angle D. straight angle   4. Which of the following is a measure of an obtuse angle? A. 70° B. 90° C. 120° D. 180°

26. 5. What geometric figure is formed when two rays meet at a common endpoint? A. angle B. line C. point D. ray

27. Identify the kind of angle represented by each of the following figure. Write the correct answer on a sheet of paper.

28. 30 THANK YOU FOR LISTENING!

29. MATH 31 4

30. QUARTER 1 32 Week 1 Day 2

31. Identify acute, right, and obtuse angle.

32. Review Identify each angle as acute , right or obtuse .

33. Study the hands of the clock

34. What kind of angle was formed? (RIGHT ANGLE)   Can you draw 5 clocks that shows an acute angle?   What is a right angle?

35. Illustrate the following using your show me board   1. Acute angle 2. Obtuse angle 3. Right angle

36. Let us try to see the ways to right an angle There are three ways to name angles.

37. Degrees is a unit of measurement angles, one three-hundred and-sixtieth (1/360) of the circumference of a circle. The degree symbol or degree sign, (°) is a typographical symbol that is used, among other things, to represent degrees of arc. To measure angles, we use the unit called degrees

38. • As the measure of an angle increases, the name changes. • Angles are the figure formed by two rays, called the sides of an angle, sharing a common endpoint, called the vertex of the angle. • Angles are measured in degrees (°), using a protractor.

39. • Angles can be classified according to their measurements. • An acute angle measures less than 90°. It is smaller than a right angle. • A right angle measures 90°. It forms a square corner. • An obtuse angle measures more than 90° but less than 180°.

40. Let us always remember that   A right angle measures exactly 90˚. An acute angle measures between 0 ˚ and 90 ˚. An obtuse angle measures between 90 ˚ and 180 ˚

41. Answer   Draw and tell what kind of angle are presented.

42. Ask the pupils;   What are the 3 ways in naming angles?   What are the 3 types of angles?

43. Using the figure at the right, identify if the given angle is acute, right or obtuse. Write the correct answer on a sheet of paper.

44. Let’s try this exercise   Use the data inside the box to complete the statement. Write your answer on a sheet of paper.

45. When two rays meet a common endpoint, a geometric figure called (1.) _______ is formed. The common endpoint is called the (2.) ______ . Angles are measured in (3.) _______ and can be classified according to their measurements. An angle which measures 90° and forms a square corner is called the (4.) ___________. If it measures less than 90° and is smaller than a right angle, it is called the (5.) ___________. If it measures more than 90° but less than 180°, it is called (6.) ___________.

46. 52 THANK YOU FOR LISTENING!

47. MATH 53 4

48. QUARTER 1 54 Week 1 Day 3

49. Define and identify the use of a protractor.

50. Review  Ask   Can anyone tell the class why angles are important?

51. Angles are important to define and study the polygons. There are different types of angles based on their measurement.

52. Show the pupils a picture or a real protractor

53. This is a protractor.

54. A protractor is used for  measuring angles . As shown above, a protractor is a half or full circle measuring device, marked in degrees along the outer edge, with a straight line running from 0° to 180°. There is a small hole in the center of the protractor.

55. Let us try to look back the concept of rays to know more about protractor   The concept of rays is useful for us to effectively grasp the lesson. Let us first learn about rays.

56. A ray is a part of a line with an endpoint and extends endlessly in one direction. It is named by its endpoint and any other point on it.

57. Figure 1 shows an example of a ray. Ray AB has endpoint A and goes indefinitely toward the direction of point B. A ray with an endpoint A and another point B on one side of endpoint A is named AB (read as “ray AB”).

58. Note that ray AB cannot be called BA. Ray BA has an endpoint B, as illustrated in Figure 3 below. Figure 2: The given ray is called BA

59. What is a protractor?

60. The measure of an angle indicates how wide the opening is between its two sides. A protractor is used to find the measure of an angle, just like a ruler is used to find the length of a segment.

61. protractor over the vertex of an angle. Then align the mark labeled 0 with one side of the angle and read the scale where the other side of the angle falls. The unit of measurement used for angles is called degree, denoted by the symbol ° .

62. A protractor usually has outer and inner degree scales. You may use any of these scales depending on the positions of the angle. Using the inner scale of the protractor shown in the figure above, the measure of ∠𝐺𝐸𝑂 is equal to 50 ° , written as

63. Now, let us try to draw ∠𝐿𝐴𝐵 so that 𝑚∠𝐿𝐴𝐵 = 80 ° . Use a protractor.

64. Let us try this   Estimate the measure of each angle. Classify the angles whether RIGHT , ACUTE or OBTUSE ANGLE .

65. Do this   Draw a protractor on a bondpaper

66. Ask the pupils   What are protractors?   Can you draw a protractor? Draw it on a ¼ sheet of paper.

67. Refer to the given figure. Measure and classify each indicated angle.   a. ∠𝑃𝑄𝑅 b. ∠𝑃𝑄𝑇 c. ∠𝑅𝑄 S

68. Additional Activities Assignment Bring a protractor.

69. 76 THANK YOU FOR LISTENING!

70. MATH 77 4

71. QUARTER 1 78 Week 1 Day 4

72. Draw and measure angles using a protractor.

73. Review What is a protractor?

74. How are you going to measure angle using a protractor?

75. Can you recall what you see at home or on your way to school the angles that you find or see?

76. Angles can be found everywhere. Buildings, establishments, satellite dishes, billboards, and many other objects forming angles. Of course, you also have clocks in your homes, right? Notice the figure formed by the two hands of the clock. They are clearly examples of angles. These sounds interesting. Hello, angles!

77. Do you have your protractor with you?   Today, we are going to use that in measuring angles.   Let’s do this together.   (The teacher demonstrates how to measure the angle using a protractor)

78. 1. ∠ YXZ 2. ∠ VXY

79. Let us learn how to measure protractor 1. Measure the angle CAB in the triangle shown.

80. Place a protractor on the triangle as shown. The angle is measured as 47°. 2. Measure this angle.

81. Using a protractor, the smaller angle is measured as 100°. Required angle = 360 ° - 100° = 260 °

82. Try this   Draw the angles of the following using a protractor.   1. 120 ˚ 2. 330 ˚ 3. 190 ˚

83. Do this   Measure each of the angles in this pie chart. Write it on the blank provided.

84. Chelsea: _____ Newcastle: _____ Arsenal: ________ Manchester: ________ Other: _____________

85. Ask:   How are you going to measure angles using a protractor?

86. Give the measurement of the following using your protractor   Refer to this figure

87. 1. ∠ DAF 2. ∠ EAB 3. ∠ BAC 4. ∠ FAB 5. ∠ DAB

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