2019 MTAP -Session 1 Grade 6.ppt
- 1. SOLANO NORTH ELEMENTARY SCHOOL AUGUST 3, 2019 EDGAR H. ANOS DISCUSSANT MTAP-DepEd Saturday Program in Mathematics for Grade VI SESSION 1
- 2. Session 1 Whole Number System Math Song:
- 3. Pre-Test Give what is asked 1. Write in words 30 501 047. 2. Write in standard form: 5 x 105 + 6 x 104 + 3 x 103 + 5 x 102 + 2 x 10 + 9 . 3. The following are prime numbers except, 2, 3, 5, 7, 9, 11, 13, 17, 19 4. 800 is how many times lesser than 80 000? 5. What is the standard form of 23 x 32 x 5?
- 4. Pre-Test 6.What is the GCF of 12 and 18? 7. The LCM of 8 and 12. 8. The prime factors of 180. 9. Which of the following is greater? 34 or 43 ? 10. Which of the following is not correct? 22 x 3 x 5 = 60 24 x 33 = 133 22 x 32 x 52 = 900
- 5. A
- 6. Answers 1. Thirty million, five hundred one thousand, forty-seven 2. 563 529 3. 9 4. 100 times 5. 360 6. 6 7. 24 8. 2x2x3x3x5 or 22 x 32 x 5 9. 34 10. 24 x 33 = 133
- 7. Introduction Place Value of Whole Numbers Our numeration system is called the decimal number system (“deci” means 10)because it makes use of ten symbols to form numbers. The decimal number system makes use of Hindu- Arabic numerals that the value of a number depends on the place values the digits use in a number. Each place or position that a digit holds in a number has a value ten times the value of the place at its right
- 8. Place Value Chart Billions Millions Thousands Units Hundreds Tens Ones Hundreds Tens Ones Hundreds Tens Ones Hundreds Tens Ones P E R I O D S P L A C E V A L U E S D I G I T P L A C E M E N T
- 9. Place Value Chart I. Writing numbers in words 1. Thirteen thousand, one hundred ninety five 2. Two hundred seven thousand, six hundred thirty 3. Eight million, one hundred thirty –seven thousand, five hundred thirty-nine 4. seventy-six million, one hundred four thousand, two hundred sixty-five 5. Six hundred thirty-nine million, eight hundred seventy-one thousand, two hundred twenty-three
- 10. Place Value Chart I. Writing numbers in words 5. Five billion, ninety-two million, four hundred forty- one thousand, seven hundred thirty-six
- 11. Place Value Chart II. Writing numbers in standard form 1. 8 475 2. 30 656 213 3. 40 823 4. 756 345 5. 5 016 899
- 12. Writing Expanded notation in standard form 4 628 4 000 = 4 x 103 600 = 6 x 102 20 = 2 x 101 8 Thus: 4 628 = 4 x 103 + 6 x 102 + 2 x 101 + 8 (place-value expanded form) or = 4 000 + 600 + 20 + 8 ( value-expanded form)
- 13. Writing Expanded notation in standard form 850 609 800 000 = 8 x 105 50 000 = 5 x 104 600 = 6 x 102 9 Thus: 850 609 = 8 x 105 + 5 x 104 + 6 x 102 + 9 or = 800 000 + 50 000 + 600 + 9
- 14. II. B. Writing Expanded notation in standard form 1. 40 925 2. 863 3. 287 927 4. 35 569 5. 7 895 738
- 15. Expressing Exponential Form in Standard Form Base – is the number used as a factor Exponent – indicates how many times the base is multiplied to itself Product is the standard form of an exponential expression Ex. 23 = 2 x 2 x 2 = 8 112 = 11 x 11= 121 105 = 10 x 10 x 10 x 10 x 10=100 000
- 16. Identifying how many times a number is lower or greater than on its place value 900 900 = 900 000 is 100 times greater than 900 = 900 is 100 times lesser than 900 000 2 020 = 2 000 is 100 times greater than 20 = 20 is 100 times lesser than 2 000
- 17. III. Identifying how many times a number is lower or greater than on its place value 1. 1oox greater 2. 10 000x greater 3. 1 000x lesser 4. 10 000x lesser 5. 10x lesser 6. 10x greater
- 18. Odd , Even and Prime Numbers ODD numbers are NOT divisible by 2 EVEN numbers are divisible by 2 Prime Number Is a number which has only 2 factors; 1 and itself Prime numbers below 100: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97
- 19. IV. Expressing a number as a sum of two prime numbers Choose from the following list of prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97 1. 35 = 5+7+23 2. 21 = 19 + 2 = 2+2+17
- 20. Factor A number that evenly divides another number An amount by which another amount is multiplied or divided Any of the numbers or symbols in mathematics that when multiplied together form a product
- 21. Pair share: List all the factors of the following: 15 36 125 75 48 13 Answers: 15: 1, 3, 5, 15 36: 1,2,3,4,6,9,12,36 125: 1, 5, 25, 125 75: 1, 3,5,15,25,75 48:1,2,3,4,6,8,12,24,48 13: 1, 13
- 22. Prime Factorization Expressing a composite number as a product of its prime factors
- 23. Finding prime factors by continuous division method 36 36 ÷ 2 =18 18 ÷ 2 = 9 9 ÷ 3 = 3 3 ÷ 3 = 1
- 24. Finding prime factors by continuous division method 2 36 2 18 3 9 3 36 = 2 x 2 x 3 x 3 or 22 x 32
- 25. Finding prime factors by factor- tree method 48 2 x 24 2 x 12 2 x 6 2 x 3 48 = 2 x 2 x 2 x 2 x 3 or 24 x 3
- 26. V. Work by Pair: Give the Prime Factors B. 1. 96 2. 42 3. 81 4. 56 5. 144 6. 108 7. 420 8. 1260 = 2 x 2 x 2 x 2 x 2 x 3 or 25 x 3 = 2 x 3 x 7 = 3 x 3 x 3 x 3 or 34 = 2 x 2 x 2 x 7 or 23 x 7 = 2 x 2 x 3 x 3 x 3 or 22 x 33 = 2 x 2 x 3 x 5 x 7 or 22 x 3 x 5x7 = 22 x 32 5 x 7 = 2 x 2 x 2 x 2 x 3 x 3 or 24 x 32
- 27. Finding GCF and LCM Greatest Common Factor (GCF) - is the largest divisor of the numbers in a set Least Common Multiple (LCM) - is the smallest number that can be divided by each number in a set
- 28. Finding GCF by continuous division method 24 and 36 24 ÷ = 36 ÷ = Common factors = 2 x 2 x3 GCF = 2 x 2 x 3 = 12 12 18 ÷ ÷ 2 2 =6 =9 ÷ ÷ 3 3 =2 =3 2 2
- 29. Finding LCM by continuous division method 24 and 36 24 ÷ = 36 ÷ = Common factors = 2 x 2 x 3 Uncommon Factors (end part)= 2 x 3 LCM (common x uncommon factors) = 2 x 2 x 3 x 2 x 3 = 72 12 18 ÷ ÷ 2 2 =6 =9 ÷ ÷ 3 3 =2 =3 2 2
- 30. VI. Give the GCF of each set of numbers 1. 20 & 36 2 20 36 2 10 18 5 9 GCF = 2 x 2 = 4 LCM = 2 x 2 x 5 x 9 = 180 VI. Give the GCF of each set of numbers
- 31. VI. Give the GCF of each set of numbers 2. 18 & 54 3. 32 & 56 4. 44 & 88 5. 63 & 84 6. 150 & 225 GCF= 22 x 3 x 3= 18 GCF= 2 x 2 x 2 = 8 GCF= 2 x 2 x 11 = 44 GCF= 3 x 7 = 21 GCF= 3 x 5 x 5= 75
- 32. VII. Give the LCM of each set of numbers 1. 12 & 15 3 12 15 2 4 5 2 5 GCF = 3= 3 LCM = 3 x 2 x 2 x 5 = 60
- 33. VI. Give the LCM of each set of numbers 2. 14 & 18 3. 32 & 56 4. 36 & 48 5. 27 & 63 6. 48 & 54 LCM = 2 x 3 x 3 x 7= 126 LCM = 2 x 2 x 2 x 2 x 2 x 3= 96 LCM = 2 x 2 x 2 x 2 x 3x 3= 144 LCM = 3 x 3 x 3 x 7= 189 LCM = 2 x 2 x 2 x 2 x 3 x 3 = 432
- 34. Expressing a number as a sum of two prime numbers Choose from the following list of prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97 ex. 32 = 13 + 19 or 29 + 3 64 = 3 + 61 or 47 + 17
- 35. Work by Group Answer problem solving part in 10 minutes( 1-5 )