MATHEMATICS LESSON ON SIMPLE PATTERNS.pptx

SIMPLE PATTERNS

1. MATH 4 QUARTER 4 WEEK 2 DAY 1 Simple Patterns

2. Who's next? Instructions. Study the picture below and draw the next figures. Activate

3. Activate Guide Questions: 1. What are the possible number of boxes that may follow? 2. How did you determine the number of boxes? Explain.

4. Aims Study Analysis 1. Can you write the number pattern that describes the picture above? 2. Is the pattern increasing or decreasing? Why? 3. Can you state the rule that describes the pattern?

5. Aims Remember: Pattern is defined as a sequence of repeating objects, shapes, or numbers. A pattern has a rule that tells us which objects belong to the pattern and which objects do not belong to the pattern.

6. Aims Identifying and Extending Patterns: • Find what is changing in the patterns. • Check if that same pattern applies throughout the sequence to create the “rule”. • Use the rule to extend the pattern. Number Patterns

7. Aims • Increasing number patterns – patterns whose numbers are getting bigger. • Decreasing number patterns - patterns whose numbers are getting smaller.

8. Aims Example 1. Find the next 3 numbers in this pattern. 7, 10, 13, 16, __, __, __ Solution. The rule for the pattern is: “Add 3 to the previous term to get the next number.” So, the next three numbers are 19, 22, 25.

9. Aims Example 2. What are the next three numbers in this pattern? 24, 20, 26, 12, __, __, __ Solution. The rule for the pattern is: “Subtract 4 to the previous term to get the next number.” So, the next 3 numbers are: 8, 4, 0.

10. Activity 1 Find the next three numbers in the pattern. Describe the rule for the pattern. 1.) 7, 11, 15, 19, __, __, __ The rule for the pattern is: __________. The next three numbers are: _______. 2.) 1, 3, 9, 27, __, __, __ The rule for the pattern is: _________. The next three numbers are: _______.

11. Activity 1 3.) 25, 23, 21, 19, __, __, __ The rule for the pattern is: ________. The next three numbers are: _______. 4.) 50, 46, 42, 38, __, __, __ The rule for the pattern is: ________. The next three numbers are: _______.

12. Activity 1 5.) 1, 4, 16, 64, __, __, __ The rule for the pattern is: ________. The next three numbers are: _______.

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 Draw the next term in the pattern.

15. MATH 4 QUARTER 4 WEEK 2 DAY 2 Simple Patterns

16. Who’s missing? Instructions. Complete the sequence by writing what is missing. 1. 3, 6, 9, ___, ____, _____ 2. 42, 40, 38, ____, ____, 32, ____ 3. 1, 3, 5, 7, ____, ____, ____ 4. A, B, A, B, ____, ____, _____ 5. 10, 15, 20, ____, ____, _____ Activate

17. Aims Study Sample Activity: 1. 3, 6, 9, ___, ____, _____ 2. 42, 40, 38, ____, ____, 32, ____ 3. 1, 3, 5, 7, ____, ____, ____ 4. A, B, A, B, ____, ____, _____ 5. 10, 15, 20, ____, ____, _____

18. Aims State the rule that describes each pattern. Which pattern is repeating?

19. Aims Remember: Pattern is defined as a sequence of repeating objects, shapes, or numbers. A pattern has a rule that tells us which objects belong to the pattern and which objects do not belong to the pattern.

20. Aims Identifying and Extending Patterns: • Find what is changing in the patterns. • Check if that same pattern applies throughout the sequence to create the “rule”. • Use the rule to extend the pattern.

21. Aims • Increasing number patterns – patterns whose numbers are getting bigger. • Decreasing number patterns - patterns whose numbers are getting smaller.

22. Aims Example 1. What are the next 3 numbers in this pattern? 1, 2, 4, 8, __, __, __ Solution. The rule for the pattern is: “Multiply 2 to the previous term to get the number.” So, the next 3 numbers are 16, 32, 64.

23. Aims Example 2. What are the next 3 numbers in this pattern? 4 096, 2 048, 1 024, ____, ____, ____ Solution. Try dividing by 2: 4,096 ÷ 2 = 2,048 The rule of the pattern is: “Divide 2 to the previous term to get the next number.”

24. Aims So, the next 3 numbers are 512, 256, 128. Study the table below. What is the total cost of printing 6 t-shirts?

25. Aims Solution. The rule for the pattern is: “Multiply 50 to get to the next number.” Answer: It will cost ₱300 to print on 6 t-shirts.

26. Activity 1 Look at the numbers provided in the table. 1) What number do you think is missing from the top row? Why? 2) What numbers are missing at the bottom row? Why? 3) Complete the table. 4) Describe the pattern.

27. Activity 2 Mark made a chart for this pattern. 1) What should be in Figure 6? Draw the figure. 2) Describe the pattern using a number pattern.

28. 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 _____________________.

29. Assessment Write the missing numbers that will complete the pattern. 1. 6, 10, 14, 18 , ____, 26, ____ 2. 10, 20 , 30, ____, 50, 60, ____ 3. 8, 13, 18, ____, 28, 33, _____ 4. 8, 16, 24, 32, ____, 48, ____, 64 5. 32, 16, 8, ____, ____, 1

30. MATH 4 Number sentence QUARTER 4 WEEK 2 DAY 3

31. Find the solution. 1. (11 - 4) - 3 = 2. 2 + (12 - 1) = 3. 6 - 3 + 7 = 4. 17 - (6 + 6) = 5. 14 - (17 - 5) = 6 Activate

32. Aims Study Number sentences are a combination of numbers and mathematical operations.

33. Aims Multiplication and Division are opposite operations.

34. Aims Example 1. Find the missing value in the number sentence: 20 + ____ = 28 Solution. To get the missing addend: 28 - 20 = ___ Answer: 28 - 20 = 8*

35. Aims Example 2. Problem Solving. The total cost of buying a ballpen and a notebook is ₱43. If a ballpen costs ₱15, how much is a notebook? Solution.

36. Aims

37. Aims Example 3. Find the value of N in the number sentence: 18 - N = 5 Solution. To get the missing subtrahend: 18 - 5 = N Answer: 18 - 5 = 13, therefore N = 13.

38. Activity 1 Find the value of N in the following number sentences:

39. Activity 2 Find the solution. 1) (40 − 17) − 14 + 3 = _____ 2) (40 − 17) − (14 + 3) = _____ 3) 40 − (17 − 14 + 3) = _____ 4) 40 − (17 − 14) + 3 = _____ 5) 11 − 2 + (27 + 29) = _____

40. Activity 3 Find the value of N. 1) N × 2 ÷ 3 = 4 2) N + 3 = 7 + 1 3) 10 - N = 6 – 2 4) (N + 2) × 3 = 15 5) 12 ÷ (N - 1) = 2

41. Abstraction How do we find the value of N in a number sentence?

42. Assessment Find the value of N to make the number sentence true. 1. 35 + N = 51 2. 63 - N = 28 3. 12 × N = 96 4. 144 ÷ N = 6 5. N - 67 = 42 6. 49 ÷ N = 12 - 5 7. 56 + 23 = 132 - N 8. N × 8 = 34 + 22 9. 8 × N = 16 × 4 10.87 - N = 7 × 5

43. MATH 4 Number Sentence QUARTER 3 WEEK 8 DAY 4

44. Activate Study Number sentences are a combination of numbers and mathematical operations. Example 1. Find the value of N in the number sentence: N - 37 = 68 Solution. To get the missing minuend: 37 + 68 = N Answer: 37 + 68 = 105, therefore N = 105.

45. Activate Example 2. Nena wants to buy a pencil case worth ₱80. She saves ₱10 a day. After how many days can she save enough money to buy the pencil case?

46. Aims Solution.

47. Aims Example 2. Find the missing value in the number sentence: 40 ÷ ____ = 5 Solution. To get the missing divisor: 40 ÷ 5 = ___ Answer: 40 ÷ 5 = 8

48. Aims Example 3. Find the value of N in the number sentence: N ÷ 8 = 12 Solution. To get the missing divisor: 8 × 12 = N Answer: 8 × 12 = 96, therefore N = 96.

49. Aims Watch the video and learn. https://study.com/academy/lesson/what-is-a-number-sentence-definition-examples.html

50. Activity 1 Fill in the blank. 1) 5 + ___ = 12 2) 10 - ___ = 3 3) 4 x 2 = ___ 4) 15 / 3 = ___ 5) ___ - 7 = 21

51. Activity 2 Answer the following. 1) N + 7 = 12 (What number plus 7 equals 12?) 2) 15 - N = 8 (15 minus what number equals 8?) 3) 3 × N = 21 (3 times what number equals 21?)

52. Activity 2 4) N ÷ 4 = 5 (What number divided by 4 equals 5?) 5) N + 5 - 2 = 10 (Solve step-by-step: N + 3 = 10)

53. Activity 3 Translate to number sentence. 1) Maria had 12 candies. She gave N candies to her friend. Now she has 7 candies left. How many candies did she give away? 2) John has N toy cars. His brother has twice as many. Together they have 18 toy cars. How many toy cars does John have?

54. Activity 3 3) A baker baked 3 trays of cookies. Each tray had N cookies. He sold 20 cookies and had 16 cookies left. How many cookies were on each tray?

55. Abstraction How do we find the value of N in a number sentence?

56. Assessment Translate into number sentence. 1) A candy shop had 4 jars of lollipops. Each jar contained 'N' lollipops. The shop owner sold 25 lollipops in the morning and 32 lollipops in the afternoon. At the end of the day, there were 15 lollipops left. How many lollipops were in each jar originally?

57. Assessment 2) A school is taking 'N' buses on a field trip. Each bus can carry 45 students. 12 students were absent, so only 396 students went on the trip. How many buses were needed?

58. Assessment 3) A group of friends ordered 5 large pizzas. Each pizza was cut into 'N' slices. They ate 32 slices and had 8 slices left over. How many slices were in each pizza?

59. Assessment 4) A gardener planted 4 rows of flowers. Each row had 'N' flowers. Later, she added 12 more flowers to the garden. If the total number of flowers is now 60, how many flowers were in each original row?

60. Assessment 5) David baked 'N' cookies for a baking contest. He entered half of his cookies in the contest. Of the cookies he entered, he won a prize for 12 of them. If he had 18 cookies left at home, how many cookies did he bake in total?