Q4-W3-MATH-PPT-MATATAG (1).pptx by deped philippines

matatag 4 mathematics 4 powerpoint presentation

1. MATH 4 QUARTER 4 WEEK 3 DAY 1 Number Sentence

2. Find the answer to each question. 1) 6 x 2 + 2 x 12 = ______ 2) 12 + 2 x 5 − 5 = ______ 3) 5 x 8 − 4 × 6 = ______ 4) 3 + 4 x 12 − 2 = ______ 5) 2 x 4 + 6 − 2 = ______ 6) 12 + 9 − 4 x 2 = ______ Activate

3. Aims Equivalent number facts refer to number sentences that yield identical numerical outcomes or results when computed despite variations in the arrangement or composition of numbers and operations. Example 1. 9 + 3 = 12 and 7 + 5 = 12, thus 9 + 3 = 7 + 5.

4. Aims Example 2. 27 - 12 = 15 and 30 - 15 = 15, thus 27 - 12 = 30 - 15. Example 3. 5 × 4 = 20 and 2 × 10 = 20, thus 5 × 4 = 2 × 10. Example 4. 15 ÷ 3 = 5 and 40 ÷ 8 = 5, thus 15 ÷ 3 = 40 ÷ 8.

5. Aims Example 5. 9 + 3 = 12 and 18 - 6 = 12, thus 9 + 3 = 18 - 6. Example 6. Determine the value of N in the number sentence. 8 + 12 = N × 4 Solution. 8 + 12 = N × 4 20 = N × 4 To get the missing factor: 20 ÷ 4 = N Answer: 20 ÷ 4 = 5, therefore N = 5.

6. Aims Example 7. Determine the value of N in the number sentence. 64 - 8 = 25 + N Solution. 64 - 8 = 25 + N 56 = 25 + N To get the missing addend: 56 - 25 = N Answer: 56 - 25 = 31, therefore N = 31.

7. Activity 1 Find the value of N so that the number sentence is true.

8. Activity 2 Look at the table. Match the pair of numbers at the bottom and write the sum.

9. Abstraction The mathematical skill/s that I discover within myself while doing the activities that I want to improve most is/are _________________ because ____________________.

10. Assessment Choose the answer that correctly completes the number sentence. 1. 2 x (8 + ____) = 20 a) 2 b) 3 c) 4 d) 5

11. Assessment 2. (15 - ____) / 3 = 2 a) 7 b) 8 c) 9 d) 10

12. Assessment 3. 4 x ____ - 6 = 18 a) 5 b) 6 c) 7 d) 8

13. Abstraction Complete the sentence. The mathematical skill/s that I discover within myself while doing the activities that I want to improve most is/are ________________________ because _______________________________.

14. Assessment 4. 24 / (____ + 2) = 3 a) 4 b) 6 c) 8 d) 10

15. Assessment 5. 3 x (____ - 1) = 21 a) 6 b) 7 c) 8 d) 9

16. MATH 4 QUARTER 4 WEEK 3 DAY 2 Number Sentence

17. Find the answer to each question. 1) 9 − 4 + 3 x 8 = ______ 2) 5 x 5 − 3 x 2 = ______ 3) 6 x 5 + 6 + 4 = ______ 4) 8 x 5 + 10 − 12 = ______ 5) 6 x 4 + 10 − 3 = ______ 6) 24 − 3 x 6 + 2 = ______ Activate

18. Aims Equivalent number facts refer to number sentences that yield identical numerical outcomes or results when computed despite variations in the arrangement or composition of numbers and operations. Example 1. 9 + 3 = 12 and 7 + 5 = 12, thus 9 + 3 = 7 + 5.

19. Aims Example 2. 27 - 12 = 15 and 30 - 15 = 15, thus 27 - 12 = 30 - 15. Example 3. 5 × 4 = 20 and 2 × 10 = 20, thus 5 × 4 = 2 × 10. Example 4. 15 ÷ 3 = 5 and 40 ÷ 8 = 5, thus 15 ÷ 3 = 40 ÷ 8.

20. Aims Example 5. 9 + 3 = 12 and 18 - 6 = 12, thus 9 + 3 = 18 - 6. Example 6. Determine the value of N in the number sentence. 8 + 12 = N × 4 Solution. 8 + 12 = N × 4 20 = N × 4 To get the missing factor: 20 ÷ 4 = N Answer: 20 ÷ 4 = 5, therefore N = 5.

21. Aims Example 7. Determine the value of N in the number sentence. 64 - 8 = 25 + N Solution. 64 - 8 = 25 + N 56 = 25 + N To get the missing addend: 56 - 25 = N Answer: 56 - 25 = 31, therefore N = 31.

22. Activity 1 Match the number sentence in Column A with the correct value of N in Column B. Column A 1. 2 x N + 3 = 17 2. (N - 5) x 4 = 16 3. 18 / (N + 1) = 3 4. 3 x N - 7 = 11 5. (N + 2) / 3 = 4

23. Activity 1 6. 4 x (N - 2) = 20 7. 24 ÷ N + 5 = 11 8. 5 x N - 12 = 23 9. (N / 2) + 6 = 10 10. 3 x (N + 1) - 5 = 19

24. Activity 1 Column B A. N = 12 B. N = 7 C. N = 4 D. N = 8 E. N = 6 F. N = 5 G. N = 9 H. N = 11 I. N = 3 J. N = 2

25. Activity 2 Translate the word problems into number sentences and solve for N. 1. "Sarah had N apples. She gave 3 to her friend and had 7 left. How many apples did Sarah have originally?"

26. Activity 2 2. "John earned PhP5 for each hour he worked. He worked N hours and earned PhP30. How many hours did he work?" 3 "A box contains N candies. If you divide them equally among 4 friends, each friend gets 6 candies. How many candies were in the box?"

27. Abstraction The mathematical skill/s that I discover within myself while doing the activities that I want to improve most is/are _________________ because ____________________.

28. Assessment Choose the answer that correctly completes the number sentence. 1. (____ + 5) / 4 = 3 a) 5 b) 6 c) 7 d) 8

29. Assessment 2. 5 x ____ + 7 = 32 a) 3 b) 4 c) 5 d) 6

30. Assessment 3. 36 / (____ - 1) = 4 a) 8 b) 9 c) 10 d) 11

31. Assessment 4. (12 + ____) / 2 = 10 a) 6 b) 8 c) 10 d) 12

32. Assessment 5. 6 x ____ - 9 = 27 a) 5 b) 6 c) 7 d) 8

33. MATH 4 Number sentence QUARTER 4 WEEK 3 DAY 3

34. Find the answer to each question. 1) 6 x 8 − 5 × 3 = ______ 2) 12 − 8 + 17 − 10 = ______ 3) 20 − 4 x 2 − 5 = ______ 4) 28 − 6 x 3 + 12 = ______ 5) 12 − 3 + 3 x 8 = ______ 6) 9 × 7 − 7 x 3 = ______ Activate

35. Aims Study the following: Table 1

36. Aims Table 2

37. Aims ● Commutative Property of Addition states that changing the order of the addends does not change the sum. ● Commutative Property of Multiplication states that changing the order of the factors does not change the product. ● Associative Property of Addition states that changing the grouping of addends does not change the sum.

38. Aims ● Associative Property of Multiplication states that changing the grouping of factors does not change the product. Example: Instructions. Fill in the blanks to make each number sentence true. Example 1. 13 + 19 = ___ + 19 Answer: 13

39. Aims Example 2. 5 × (3 × 4) = (____ × 3) × 4 Answer: 5 Example 3. (27 + ___) + 12 = 27 + (9 + ____) Answer: 9, 12

40. Activity 1 Find the value of N in the following number sentences: 1. N + 12 = 32 = 12 + N 2. 2 × (3 × N) = 18 = (2 × 3) × N 3. N + (17 + 25) = 51 = (N + 17) + 25 4. 7 × N = 42 = N × 7 5. N × (3 × 2) = 54 = (N × 3) × 2

41. Activity 2 Group Activity "N Detective" Game 1. Instructions: One student is the "N Creator." They secretly choose a value for N and write a complex number sentence using N.

42. Activity 2 2. Task: The rest of the class are "N Detectives." They ask questions like: o "Is N greater than 10?" o "Is N an even number?" o "Does N divide evenly into 24?"

43. Activity 2 3. Solve: Based on the answers, the detectives try to guess the value of N. 4. Bonus: The first detective to correctly guess N becomes the next "N Creator."

44. Abstraction The mathematical skill/s that I discover within myself while doing the activities that I want to improve most is/are _________________ because ____________________.

45. Assessment Choose the answer that correctly identifies the property used in each number sentence. 1. Which property is illustrated by the equation: 5 + 0 = 5? a) Commutative Property of Addition b) Associative Property of Addition c) Identity Property of Addition d) Distributive Property

46. Assessment 2. Which property is illustrated by the equation: 3 x (4 x 2) = (3 x 4) x 2? a) Commutative Property of Multiplication b) Associative Property of Multiplication c) Identity Property of Multiplication d) Zero Property of Multiplication

47. Assessment 3. Which property is illustrated by the equation: 7 + 9 = 9 + 7? a) Commutative Property of Addition b) Associative Property of Addition c) Identity Property of Addition d) Distributive Property

48. Assessment 4. Which property is illustrated by the equation: 6 * 1 = 6? a) Commutative Property of Multiplication b) Associative Property of Multiplication c) Identity Property of Multiplication d) Zero Property of Multiplication

49. Assessment 5. Which property is illustrated by the equation: 4 * (2 + 3) = (4 * 2) + (4 * 3)? a) Commutative Property of Multiplication b) Associative Property of Multiplication c) Identity Property of Multiplication d) Distributive Property

50. MATH 4 Number Sentence QUARTER 3 WEEK 3 DAY 4

51. Activate Solve the following. 1) 6 x 3 + 5 − 3 = ______ 2) 5 + 7 x 8 − 9 = ______ 3) 6 + 7 − 2 x 5 = ______ 4) 4 x 8 − 3 + 7 = ______ 5) 5 − 2 + 6 x 6 = ______ 6) 6 x 3 + 9 − 6 = ______

52. Aims Study the following: Table 1

53. Aims Table 2

54. Aims ● Commutative Property of Addition states that changing the order of the addends does not change the sum. ● Commutative Property of Multiplication states that changing the order of the factors does not change the product. ● Associative Property of Addition states that changing the grouping of addends does not change the sum.

55. Aims ● Associative Property of Multiplication states that changing the grouping of factors does not change the product. Example: Instructions. Fill in the blanks to make each number sentence true. Example 1. 13 + 19 = ___ + 19 Answer: 13

56. Aims Example 2. 5 × (3 × 4) = (____ × 3) × 4 Answer: 5 Example 3. (27 + ___) + 12 = 27 + (9 + ____) Answer: 9, 12

57. Activity 1 Students work individually or in pairs to solve for N in each sentence. 1) 4 X N + 5 = 21 2) (N - 3) / 2 = 5 3) 20 - 3 x N = 8 4) N ÷ 4 + 6 = 10 5) 5 x (N + 1) - 7 = 18

58. Activity 2 Group Activity Number Sentence Puzzles (Group Activity) Instructions: Divide the class into small groups. Task: Each group creates their own set of number sentences with a hidden value for N.

59. Activity 2 puzzles with another group. Solve: Groups solve the puzzles created by the other group. Review: Groups review their answers and discuss any discrepancies.

60. Abstraction The mathematical skill/s that I discover within myself while doing the activities that I want to improve most is/are _________________ because ____________________.

61. Assessment Fill in the missing numbers so that the number sentence is correct. 1. 4 × (N × 2) = 24 = (4 × N) × 2 2. N + (74 + 9) = 100 = (N + 74) + 9 3. 39 + N = 85 = N + 39 4. 5 × (3 × N) = 60 = (5 × 3) × N 5. N × 9 = 81 = 9 × N