MATH4-Q1-W2_Lesson Power point presentation

Mathematics 4, Quarter 1, Lesson Power Point

1. MATH 4 Drawing and Stating the Properties of Triangles and Quadrilaterals QUARTER 1 WEEK 2 DAY 1

2. A. What kind of angles do the figures show? Mind and Mood

3. Aims B . Game: What Am I? Use cue cards. a. I am the common endpoint of an angle. b. I am an angle whose measure is 90 ⁰ . c. I am an angle whose measure is less than 90 ⁰ . d. I am an angle whose measure is more than 90 ⁰ but less than 180 ⁰ .

4. Aims Watch the video. https://www.youtube.com/watch?v=mLeNaZcy-hE What are the kinds of triangles according to sides and angles?

5. Aims Mr. Carreon showed a big triangle to this class. He must divide into small triangles of different sizes. Look at how he divided it. How many small triangles does he have? Are the sides and angles of each triangle equal?

6. Tasks and Thoughts (Activity 1) Group Activity: Distribute geoboards/ graphing papers to every group. Let them form the following: Different triangles Let them tell something about their output then post on the board.

7. Tasks and Thoughts (Activity 2) Examine each triangle below. Identify the type of triangle (equilateral, isosceles, scalene). Label the sides as A, B, and C, and label the angles as ∠A, ∠B, and ∠C. Task/Question 1: Triangle A: Type of Triangle: __________ Side A: ______ Side B: ______ Side C: ______ ∠A: ______ degrees ∠B: ______ degrees ∠C: ______ degrees

8. Tasks and Thoughts Task/Question 2: Triangle B: Type of Triangle: __________ Side A: ______ Side B: ______ Side C: ______ ∠A: ______ degrees ∠B: ______ degrees ∠C: ______ degrees

9. Tasks and Thoughts Task/Question 3: Triangle C: Type of Triangle: __________ Side A: ______ Side B: ______ Side C: ______ ∠A: ______ degrees ∠B: ______ degrees ∠C: ______ degrees

10. Tasks and Thoughts (Activity 3) For each question, draw the given triangle, label its angles, and identify the type of triangle (right, acute, or obtuse). Task/Question 1: Draw an acute triangle. Label its sides as A, B, and C. Label its angles as ∠A, ∠B, and ∠C. What type of triangle is this?

11. Tasks and Thoughts Task/Question 2: Draw a right triangle. Label its sides as P, Q, and R. Label its angles as ∠P, ∠Q, and ∠R. What type of triangle is this?

12. Tasks and Thoughts Task/Question 3: Draw an obtuse triangle. Label its sides as X, Y, and Z. Label its angles as ∠X, ∠Y, and ∠Z. What type of triangle is this?

13. Abstractions The properties of a triangle help us to identify a triangle from a given set of figures easily. A triangle is a polygon that has three angles, three sides, and three vertices. Triangles can be classified into different types of triangles based on the length of the sides and the measure of the angles.

14. Write the letter of the correct answer on the blank before each number. ______1. Which triangle has three equal sides? A. right triangle B. scalene triangle C. isosceles triangle D. equilateral triangle Tools for Assessment

15. Tools for Assessment ______2. Which triangle has a right angle? A. acute triangle B. obtuse triangle C. right triangle D. equiangular triangle ______3. What do you call a triangle that has three acute angles or less than 90 °. A. obtuse triangle B. equiangular triangle C. scalene triangle D. acute triangle

16. Tools for Assessment ______4. How are triangles classified? A. They are classified according to line segments B. They are classified according to angles C. They are classified according to sides D. They are classified according to angles and sides. ______5. Which triangle has no equal sides? A. acute triangle B. equilateral triangle C. scalene triangle D. isosceles triangle

17. MATH 4 Drawing and Stating the Properties of Triangles and Quadrilaterals QUARTER 1 WEEK 2 DAY 2

18. A. Name the triangle described in each item. 1.It is a triangle which has a right angle. 2. It is a triangle which has an obtuse angle. 3. It is a triangle which has 3 acute angles. 4. It is a triangle which has 2 equal sides. 5. It is a triangle which has no equal sides. 6. It is triangle which has 3 equal sides. Mind and Mood

19. B. Answer the following questions. 1.How many equal sides does an isosceles triangle have? 2. How many equal sides does an equilateral triangle have? 3. What kind of angle does an acute angle have? 4. What kind of angle does a right triangle have? 5. What kind of angle does an obtuse triangle have? Mind and Mood

20. Aims Watch the video. https://www.youtube.com/watch?v=yiREqzDsMP8&t=250s What are the kinds of quadrilaterals?

21. Aims Using the drawing below, identify and describe the figures represented by the letters. All the figures represented by the letters are called quadrilaterals. A quadrilateral has 4 sides and 4 angles.

22. Aims A quadrilateral is a polygon having four sides, four angles, and four vertices. Some properties are common to all quadrilaterals. These properties are: They have four vertices. They have four sides. The sum of all interior angles is 360°. They have two diagonals.

23. Aims A quadrilateral can be regular or irregular. A regular quadrilateral must have 4 equal sides, and 4 equal angles, and its diagonals must bisect each other. Square is the only quadrilateral that satisfies all these conditions.

24. Tasks and Thoughts (Activity 1) Group Activity Group 1: Identify the illustrations below by writing which kind of quadrilateral it represents.

25. Tasks and Thoughts Group 2: Describe each quadrilateral by matching Column A with Column B. Place the correct letter of your answer on the blank before each number. Column A 1. Square 2. Trapezoid 3. Parallelogram 4. Rectangle 5. Rhombus

26. Tasks and Thoughts Column B a. with one pair of opposite parallel sides b. all the sides and angles are equal; pairs of opposite sides are parallel to each other c. with two pairs of parallel sides; opposite sides are parallel and equal in length d. with all the four sides having equal lengths; opposite sides are parallel and opposite angles are equal e. with all the four angles of equal measure; the pairs of opposite sides are parallel and equal in length

27. Tasks and Thoughts Group 3: Answer the following questions. Draw a CIRCLE if your answer is YES and a DIAMOND if it is a NO on the blank provided before each number. 1. Is parallelogram a rectangle? 2. Is trapezoid a parallelogram? 3. Is square a rectangle? 4. Is rhombus a square? 5. Is rectangle a parallelogram?

28. Tasks and Thoughts Group 4: Encircle all the quadrilaterals that you can see inside the box. Identify by writing the name of the kinds of quadrilateral and describe them by giving the meaning.

29. Tasks and Thoughts (Activity 2) Carefully read the instructions for each question and complete the tasks accordingly. Use the given quadrilateral images to identify, label, and classify them. Make sure to identify opposite sides and angles as well.

30. Tasks and Thoughts Task/Question 1: Classify each quadrilateral by selecting the correct type from the following options: (square, rectangle, parallelogram, trapezoid). Quadrilateral A: ___________ Quadrilateral B: ___________ Quadrilateral C: ___________ Quadrilateral D: ___________

31. Tasks and Thoughts For each quadrilateral, label its sides and angles using appropriate letters (A, B, C, etc.). Task/Question 2 Quadrilateral A: Sides: AB, BC, CD, DA Angles: A, B, C, D

32. Tasks and Thoughts Task/Question 3 Quadrilateral B: Sides: _______________ Angles: _______________ Task/Question 4 Quadrilateral C: Sides: _______________ Angles: _______________

33. Tasks and Thoughts Task/Question 5 Quadrilateral D: Sides: _______________ Angles: _______________

34. Tasks and Thoughts Identify and label the properties of each quadrilateral based on the given options: right angles, equal sides, parallel sides, bisecting diagonals. Task/Question 6 Quadrilateral A: ____________ Quadrilateral B: ____________ Quadrilateral C: ____________ Quadrilateral D: ____________

35. Tasks and Thoughts (Activity 3) For each quadrilateral, identify and label the opposite sides and angles using appropriate letters. Task/Question 1 Quadrilateral A: Opposite Sides: _______________ Opposite Angles: _______________

36. Tasks and Thoughts Task/Question 2 Quadrilateral B: Opposite Sides: ______________ Opposite Angles: _______________

37. Tasks and Thoughts Task/Question 3 Quadrilateral C: Opposite Sides: _______________ Opposite Angles: _______________ Task/Question 4 Quadrilateral D: Opposite Sides: _______________ Opposite Angles: ______________

38. Abstractions Quadrilateral just means "four sides" (quad means four, lateral means side). A Quadrilateral has four-sides, it is 2-dimensional (a flat shape), closed (the lines join up), and has straight sides. A quadrilateral has: • four sides (edges) • four vertices (corners) • interior angles that add to 360 degrees

39. Choose the letter of the best answer. Write the chosen letter on a separate sheet of paper. _____ 1. What do you call a quadrilateral which has 4 equal sides and has 4 right angles? A. Rectangle B. trapezoid C. square D. parallelogram Tools for Assessment

40. Tools for Assessment _____ 2. What kind of quadrilateral has 4 equal sides, 2 equal obtuse angles in the opposite sides and 2 equal acute angles in the other opposite sides? A. Rectangle B. trapezoid C. rhombus D. parallelogram _____ 3. What classification of quadrilaterals has only one pair of parallel sides? A. Rectangle B. trapezoid C. rhombus D. parallelogram

41. Tools for Assessment _____ 4. What do you call a quadrilateral whose opposite sides are equal and has 4 right angles? A. Rectangle B. trapezoid C. rhombus D. parallelogram _____ 5. Which describes a square? A. It has 2 pairs of parallel sides. B. Its 2 opposite angles are obtuse and the other 2 opposite angles are acute. C. Its opposite sides are equal and ha 4 right angles.

42. MATH 4 Classifying Triangles and Quadrilaterals According to Sides and Angles QUARTER 1 WEEK 2 DAY 3

43. State the properties of each of the following. 1. 2. 3. 4. 5. Mind and Mood

44. Aims Watch the video and learn. https://www.youtube.com/watch?v=Nq1WsZo5BUc What do you mean by quadrilateral? What are the kinds of quadrilaterals? Describe each.

45. Aims Read and understand. The Math class of Mr. Manalastas drew the kinds of triangles. Three girls showed their drawings as follows.

46. Aims Three girls showed their drawings as follows.

47. Tasks and Thoughts (Activity 1) Group Activity: Instructions: 1. Divide into Groups: Form small groups of learners, ideally 3-4 learners per group. 2. Distribute Materials: Provide each group with a set of shape images and a worksheet.

48. Tasks and Thoughts 3. Observation and Discussion: In your group, carefully examine the shape images. Discuss the following points: Task/Question 1: Identify each shape (triangle or quadrilateral). ____________________________________________________

49. Tasks and Thoughts Task/Question 2: Describe the number of sides and angles in each shape. _________________________________________ Task/Question 3: Discuss any special features or characteristics you notice. _________________________________________

50. Tasks and Thoughts Task/Question 4: Share with the Whole Group: After the group discussion, each group will share their findings with the entire class. This can be done through presentations or by discussing the shapes collectively.

51. Tasks and Thoughts (Activity 2) Identify whether each shape is a triangle or a quadrilateral. Explain your choice based on the properties of the shape. For each shape, learners need to identify whether it's a triangle or a quadrilateral. Circle the appropriate shape type. After identifying the shape, learners should explain why they chose that classification. They should consider the number of sides and angles.

52. Tasks and Thoughts Task/Question 1: Shape Type: (Circle one) Explanation: Task/Question 2: Shape Type: (Circle one) Explanation:

53. Tasks and Thoughts Task/Question 3: Shape Type: (Circle one) Explanation: Task/Question 4: Shape Type: (Circle one) Explanation:

54. Tasks and Thoughts (Activity 3) Examine each triangle image and classify it as either equilateral, isosceles or scalene. Write the corresponding label next to each triangle. Provide a brief explanation for your classification, mentioning specific features that led you to your decision.

55. Tasks and Thoughts Task/Question 1: Classification: _______________ Explanation: ______________ Task/Question 2: Classification: _______________ Explanation: ______________

56. Tasks and Thoughts Task/Question 3: Classification: _______________ Explanation: ______________ Task/Question 4: Classification: _______________ Explanation: ______________

57. Tasks and Thoughts Task/Question 5: Classification: _______________ Explanation: ______________

58. Abstractions Triangles can be classified into two types, which are: • Triangles based on their sides • Triangles based on their angles These two triangle types are explained here along with their further classifications.

59. Abstractions

60. Identify the word or phrase described in each of the following. 1. It is a three-sided polygon. 2. According to the length of its sides, this triangle may also be a right triangle. 3. This triangle has angles measuring less than 90 0. Tools for Assessment

61. 4. All the sides of this triangle are of the same length. 5. It is the sum of the three angles in any triangle. 6. These are the corners in a triangle. 7. All the angles of the triangle measure the same. Tools for Assessment

62. 8. This triangle has two congruent sides. 9. It is the measures of the other angles of a right triangle when one angle is 35 . 10. This triangle has one angle which measures greater than 90 . Tools for Assessment

63. MATH 4 Classifying triangles and Quadrilaterals According to Sides and Angles QUARTER 1 WEEK 4 DAY 4

64. Write True if the statement is true. If False, change the underlined word to make each statement true. 1. A trapezoid is quadrilateral with two pairs of opposite sides parallel. 2. A square is a parallelogram with four right angles. 3. A quadrilateral with one pair of opposite sides parallel is a general quadrilateral. 4. A polygon with four sides is a trapezoid. 5. A quadrilateral has four sides and three angles. Mind and Mood

65. Aims Watch the video and learn.   https://www.youtube.com/watch?v=0OW2bU0So-4   What are the kinds of quadrilaterals? Describe each.  

66. Aims Show tangrams. Pick the four-sided polygon. Classify them based on the type and properties in the table below.

67. Tasks and Thoughts (Activity 1) Classify each quadrilateral based on its angle properties. Write the name of the quadrilateral in the blank next to each shape. 1. Quadrilateral A: Angle A: 90° Angle B: 90° Angle C: 90° Angle D: 90° Type of Quadrilateral: _______________

68. Tasks and Thoughts 2. Quadrilateral B: Angle A: 60° Angle B: 120° Angle C: 60° Angle D: 120° Type of Quadrilateral: _______________

69. Tasks and Thoughts 3. Quadrilateral C: Angle A: 45° Angle B: 45° Angle C: 45° Angle D: 45° Type of Quadrilateral: _______________

70. Tasks and Thoughts 4. Quadrilateral D: Angle A: 80° Angle B: 100° Angle C: 80° Angle D: 100° Type of Quadrilateral: _______________

71. Tasks and Thoughts 5. Quadrilateral E: Angle A: 30° Angle B: 140° Angle C: 30° Angle D: 140° Type of Quadrilateral: _______________

72. Tasks and Thoughts (Activity 2) Look at each quadrilateral image. Identify the type of quadrilateral it represents (square, rectangle, parallelogram, or trapezoid). Label the angles with their corresponding names. Task/Question 1: Type: __________ Label the angles: _________

73. Tasks and Thoughts Task/Question 2: Type: __________ Label the angles: _________ Task/Question 3: Type: __________ Label the angles: _________

74. Tasks and Thoughts Task/Question 4: Type: __________ Label the angles: _________ Task/Question 5: Type: __________ Label the angles: _________

75. Tasks and Thoughts (Activity 3) Drawing Activity: Draw one example of each type of quadrilateral. Label the angles with their measurements.

76. Abstractions There are special types of quadrilaterals:

77. Abstractions

78. A. Write True if the statement is correct and False if it is not. 1. All squares are rectangles. 2. Some rectangles are squares. 3. Some trapezoids are parallelograms. 4. All trapezoids are parallelograms. Tools for Assessment

79. 5. Some triangles are quadrilaterals. 6. All quadrilaterals are trapezoids. 7. All squares have four right angles. 8. All rhombuses are squares. Tools for Assessment

80. B. Identify and describe each quadrilateral. Write square, rectangle, rhombus, trapezoid, or parallelogram on the blanks provided before each number. ___1. Has one pair of parallel sides ___2. Has two pairs of parallel sides and its opposite sides are equal Tools for Assessment

81. ___3. Is a parallelogram and four right angles and four equal sides ___4. A parallelogram and four equal sides (a slanted square) ___5. A parallelogram that has four right angles and its opposite sides are parallel. Tools for Assessment