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WELCOME TO MATHEMATICS WORKSHOP

WELCOME TO MATHEMATICS WORKSHOP. A GENERAL ILLUSION-----MATHS IS VERY TOUGH…. LET’S TEACH MATHS WITH PASSION!!!. Let’s Make Teaching Maths Easier……… By Mr. T.Satya Prasad H.O.D.MATHEMATICS. FEW TIPS TO MAKE TEACHING MATHS EASIER:. 1.LET’S SHOW THE INVOLVEMENT IN TEACHING

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WELCOME TO MATHEMATICS WORKSHOP

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  1. WELCOME TO MATHEMATICS WORKSHOP

  2. A GENERAL ILLUSION-----MATHS IS VERY TOUGH…. LET’S TEACH MATHS WITH PASSION!!!

  3. Let’s Make Teaching Maths Easier……… By Mr. T.Satya Prasad H.O.D.MATHEMATICS

  4. FEW TIPS TO MAKE TEACHING MATHS EASIER:

  5. 1.LET’S SHOW THE INVOLVEMENT IN TEACHING • 2.ENSURE THAT WHAT YOU HAVE COMMUNICATED TO THE STUDENTS IS EXACTLY WHAT YOU REALLY WANTED TO COMMUNICATE TO THEM. • 3.MAKE YOUR CONCEPT CLEAR BEFORE YOU TEACH . • 4.DIFFICULTY OF THE PARTICULAR CHAPTER ALSO DEPENDS ON YOUR TEACHING. INVENT NEW WAYS OF MAKING THINGS CLEAR RATHER THAN USING CONVENTIONAL EXAMPLES ONLY. • LETS PUT A PAUSE TO FUNDAS……………..

  6. LETS BEGIN WITH… DIVISION

  7. Divisibility DIVISIBILITY RULES Rules

  8. Divisibility RulesHelps you learn shortcutsto tell when a number can be divided by another number with NO remainder.

  9. What is Divisibility? Divisibility means that after dividing, there will be no remainder.

  10. Divisibility by 2 • A number is divisible by 2 if the number is even. 18 ÷ 2 = 9 22 ÷ 2 = 11 (Notice that both of these numbers are even.) 21 ÷ 2 = 10 R1 (Not an even number.)

  11. Are these numbers divisibleby 2? • 127 (Not an evennumber) • 937 (Not an evennumber) • 4678

  12. Divisibility by 3 • A number is divisible by 3 if the sum of the digits is divisible by 3. Is the number 135 divisible by 3? Add the digits: 1 + 3 + 5 = 9 Yes, 135 is divisible by 3 because the sum of the digits is divisible by 3.

  13. Divisibility by 5 • A number is divisible by 5 if it ends in 0 or5. 25 ÷ 5 = 5 23 ÷ 5 = 4 R3

  14. Is 42 divisible by 6? Is 51 divisible by 6? Divisibility by 6 • A number is divisible by 6 if it is divisible by both 2 and 3.

  15. Divisibility by • A number is divisible by 10 if it ends in 0. • 30 ÷ 10 = 3 • 340 ÷ 10 = 34 • 67 ÷ 10 = 6 R7 • 784 ÷ 10 =78 R4

  16. Divisibility By:

  17. 369 is divisible by 9 because 3 + 6 + 9 =18 1 + 8 = 9 AND 9 is divisible by 9. Divisibility by 9 • A number is divisible by 9 if the sum of its digits is divisible by 9.

  18. 356,821 • Can you tell by just looking at this number if it is divisible by 2? • by 5? • by 10? • by 3 ? • by 9? • By 6? • The divisibility rules can help YOU !!!

  19. After All…DIVISIBILITY Rules!!

  20. Lets move on to… LONG Division

  21. Long Division • Before we start this let’s introduce this family somewhat close to division family…… DAD—1.DIVIDE MOM---2.MULTIPLY REMO----REPEAT OR REMAINDER BROTHER----------- --BRING DOWN SIS---SUBTRACT

  22. Step 1 in Long Division 4 1. Divide • Divide 2 into first number in the dividend. DAD—1.DIVIDE 2 ) 9 4 7 • Think how many 2’s will fit into 9. • Write that number directly above the number you divided into.

  23. Step 2 in Long Division 4 2. Multiply • Multiply the divisor times the first number in the quotient. MOM---2.MULTIPLY 2 ) 9 4 7 8 2 x 4 = 8 • Write your answer directly under the 9 or the number you just divided into.

  24. Step 3 in Long Division 4 3. Subtract • Draw a line under the 8. 2 ) 9 4 7 8 • Write a subtraction sign next to the 8. 1 • Subtract 8 from 9. • Write your answer directly below the 8. SIS---SUBTRACT

  25. Step 4 in Long Division 4 4. Bring down • Go to the next number in the dividend to the right of the 9. 2 ) 9 4 7 Brother 8 1 4 • Write an arrow under the 4. • Bring the 4 down next to the 1.

  26. Step 5 in Long Division 4 • This is where you decide whether you repeat the 5 steps of division. 2 ) 9 4 7 8 1 4 • If your divisor can divide into your new number, 14, or if you have numbers in the dividend that have not been brought down, you repeat the 5 steps of division. REMO----REPEAT OR REMAINDER

  27. Step 1 in Long Division 4 7 1. Divide • Divide 2 into your new number, 14. DAD—1.DIVIDE 2 ) 9 4 7 8 1 4 • Place your answer directly above the 4 in your quotient.

  28. Step 2 in Long Division 4 7 2. Multiply • Multiply your divisor, 2, with your new number in the quotient, 7. MOM---2.MULTIPLY 2 ) 9 4 7 Mom 8 1 4 1 4 • Place your answer directly under the 14.

  29. Step 3 in Long Division 4 7 3. Subtract • Draw a line under the bottom 14. 2 ) 9 4 7 8 1 4 • Draw a subtraction sign. 1 4 • Subtract & place answer under the line. 0 SIS---SUBTRACT

  30. Step 4 in Long Division 4 7 4. Bring down • Put an arrow under • the next number, 7, • in the dividend. 2 ) 9 4 7 Brother 8 1 4 1 4 • Bring the 7 down next to the 0. 0 7

  31. Step 5 in Long Division 4 7 • If the 2 will divide into your new number, 7, then repeat the steps of division. 2 ) 9 4 7 8 1 4 1 4 0 7 REMO----REPEAT OR REMAINDER

  32. Step 1 in Long Division 4 7 3 1. Divide • Divide your divisor, 2, into your new number, 7. DAD—1.DIVIDE 2 ) 9 4 7 8 1 4 • Place your answer in the quotient next to the 7. 1 4 0 7

  33. Step 2 in Long Division 4 7 3 2. Multiply • Multiply your divisor, 2, by your new number in the quotient, 3. 2 ) 9 4 7 MOM---2.MULTIPLY 8 Mom 1 4 1 4 0 7 • Place your answer under the number you brought down, 7. 6

  34. Step 3 in Long Division 4 7 3 3. Subtract 2 ) 9 4 7 • Draw a line under the number 6. 8 Sister 1 4 1 4 0 7 • Place your subtraction sign. 6 • Subtract & put your answer directly under the 6. 1 SIS---SUBTRACT

  35. Step 4 in Long Division 4 7 3 4. Bring down 2 ) 9 4 7 • Look at your dividend to see if there are any more numbers to bring down. 8 Brother 1 4 1 4 0 7 6 • If not, move to step 5. 1

  36. Step 5 in Long Division 4 7 3 R1 2 ) 9 4 7 • Since there are no more numbers to bring down & 2 will not divide into 1, you do not repeat the steps of division. 8 1 4 1 4 0 7 6 REMO----REPEAT OR REMAINDER 1 • The number left over, 1, becomes the remainder.

  37. FINALLY THIS IS HOW IT IS!!!!! 4 7 3 R1 2 ) 9 4 7 8 1 4 1 4 0 7 6 1

  38. LETS MOVE ON TO….. 2 DIGIT DIVISION

  39. Step 1 in 2 Digit Long Division 4 1. Divide • Divide 21 into first number in the dividend. DAD 2 1) 9 4 8 How many 20’s will go into 90? • 21 will not go into 9 so • you look at 94. • Round off 21 and 94 in • your head. • Now divide 20 into 90 & • put your answer above the 4.

  40. Step 2 in 2 Digit Long Division 4 2. Multiply • Multiply the divisor times the first number in your quotient. 2 1) 9 4 8 Mom 8 4 21 x4 84 • Write your answer directly under the 94 or the number you just divided into.

  41. Step 3 in 2 Digit Long Division 4 3. Subtract • Draw a line under the 84. 2 1) 9 4 8 8 4 • Write a subtraction sign next to the 84. 1 0 • Subtract 84 from 94. • Write your answer directly below the 84. SIS---SUBTRACT

  42. Step 4 in 2 Digit Long Division 4 4. Bring down • Go to the next number in the dividend to the right of the 4. 2 1) 9 4 8 Brother 8 4 1 0 8 • Write an arrow under that • number. • Bring the 8 down next to the 10.

  43. Step 5 in 2 Digit Long Division 4 • This is where you decide whether you repeat the 5 steps of division. 2 1) 9 4 8 8 4 1 0 8 • If your divisor can divide into your new number, 108, or if you have numbers in the dividend that have not been brought down, you repeat the 5 steps of division. REMO----REPEAT OR REMAINDER

  44. Step 1 in 2 Digit Long Division 4 5 • Divide 21 into your • new number, 108. DAD—1.DIVIDE 2 1) 9 4 8 8 4 1 0 8 • Round 21 and 108 off • in your head. • Divide 20 into 110 • Place your answer directly • above the 8 in your quotient.

  45. Step 2 in 2 Digit Long Division 4 5 • Multiply your divisor, 21, with your new number in the quotient, 5. MOM---2.MULTIPLY 2 1) 9 4 8 8 4 1 0 8 1 5 0 • Place your answer directly under the 108.

  46. Step 3 in 2 Digit Long Division 4 5 • Draw a line under the bottom number, 105. 2 1) 9 4 8 8 4 1 0 8 • Draw a subtraction sign. 0 1 5 • Subtract & place answer under the line. 3 SIS---SUBTRACT

  47. Step 4 in 2 Digit Long Division 4 5 4. Bring down • Since there is nothing to • bring down, go to step • five. 2 1) 9 4 8 8 4 1 0 8 0 1 5 3

  48. Step 5 in 2 Digit Long Division 4 5 R3 5. Repeat or Remainder • If the 21 will not divide into your new number, 3, & there is nothing to bring down, you are done. 2 1) 9 4 8 8 4 1 0 8 0 1 5 3 • Write your left over 3 as the • remainder next to the 5.

  49. THIS IS HOW IT LOOKS… 4 5 R3 2 1) 9 4 8 8 4 1 0 8 0 1 5 3

  50. A DIVISION TEASER……

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