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Making Your Students Feel Like A genius

Making Your Students Feel Like A genius. ( And maybe you ). What level of maths do I need to survive this session ? . DO I HAVE TO BE REALLY GOOD AT MATHS TO SURVIVE THIS CLASS ???. If you understand your times tables can add and subtract one digit numbers Basic knowledge of fractions

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Making Your Students Feel Like A genius

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  1. Making Your Students Feel Like A genius ( And maybe you )

  2. What level of maths do I need to survive this session ?

  3. DO I HAVE TO BE REALLY GOOD AT MATHS TO SURVIVE THIS CLASS ??? • If you • understand your times tables • can add and subtract one digit numbers • Basic knowledge of fractions • Can use a calculator (to check if you are really correct and smarter than you think) • Want to learn • Are willing to approach things positively

  4. Solve the answers • Think of a number • Double it • Add 14 • Halve your answer • Subtract the original answer • Your answer is 7

  5. Solve the answers • Write down a 3 digit number with digits decreasing, eg. 861 • Reverse this number and subtract it from the first number • Take this answer and add it to the reverse of the number • Your answer is 1089

  6. Solve the answers • Using 1089 from before multiply this by ANY 3 digit number • How many digits in your answer ? • Tell me any 5 of your digits

  7. Solve the answers • Write down any 2 1 digit number underneath each other and add them 8 times.Eg 1. 6 2. 5 3. 11 • When you have done this add the 10 numbers up • I need someone to write their number on the board Without the total. • I will Guess the total before finish they are finished writing all the number up.

  8. Solve the answers • Write down any number from each of the 3 number setsA B C 8573 5646 2565 2966 4179 4581 4586 8544 2673 4874 9624 5625 7655 2595 7236 • Select any digit from each of the select numbers and enter under Columns headed A, B or C • Repeat this till all digits are used. • Add up the new 4 3-digit numbers • Answer for this total is 2528

  9. Multiplying 2 digit Numbers • Eg. 11 13 • x 12 x 13 • 132169 • ADD 11 plus 2 ( = 13) • Multiply 1 x 2 ( = 2 ) ANSWER

  10. Multiplying 2 digit Numbers • Eg. 17 19 • x 13 x 19 • 21 81 • 2028 • 221361 • ADD 17 plus 3 ( = 20) • Multiply 7 x 3 ( = 21 ) ANSWER

  11. Squaring a number ending in 5 • Eg. 752 = 7 x 8 and 52 • = 56 and 25 • = 5625 • (N5)2 = n x (n+1) and 52 • = n x (n+1) and 25 • = n(n+1)25

  12. Squaring a number between 30 and 70 • Eg. 522 = 27 and 22 • = 2704 • [27 : 25+2] [04:2places for 4] • 592 = ? 632 = ? • 592 = 34 and 92[34 : 25+9] [81:2places for 81] = 3481 • 632 = 38 and 132 [38 : 25+13] [169:2places for 169] • 169 • = 38 • = 3969

  13. Squaring a number between 30 and 70 • Eg. 482 = 23 and 22 • = 2304 • [23 : 25-2] [04:2places for 4] • 472 = ? 392 = ? • 472 = 22 and 32 [22 : 25-3] [04:2places for 9] = 2209 • 392 = 14 and 112 [14: 25-11] [121:2places for 121] 121 • = 14 • = 1521

  14. Squaring a number between 80 and 120 • Eg. 1032 = 106 and 32 • = 10609 • [06 : two x 3] [09:2places for 9] • 1072 = 11449[14 : two x 7] [49:2places for 7x7] • 1092 =11881 • 1122144 • = 124 • = 12544 ANSWER ANSWER ANSWER

  15. Multiplying 2 numbers between 80 and 120 • 97 x 98 = 98( -2 : less than 100) • 97 ( -3 : less than 100) • = 9506 • [95 : 97- 3 : 98 - 2] [06:2places for 6] • 91 x 97 = 91( -9 : less than 100) • 97 ( -3 : less than 100) • = 8827 • [88 : 91- 3 : 97 - 9] [27:2places for 6] 91 x 97 =

  16. Multiplying 2 numbers between 80 and 120 • 107 x 112 = 107( 7 : morethan 100) • 112 ( 12 : more than 100) • = 11984 • [19 : 7+12 : 12 + 7] [84: 7 x 12] • 103 x 115 = 103( 3 : more than 100) • 115 ( 15 : more than 100) • = 11845 • [18 : 3 + 15 : 15 + 3] [45 : 3 x 15] 103 x 115 =

  17. Squaring a number between 80 and 120 • Eg. 1032 = 106 and 32 • = 10609 • [06 : two x 3] [09:2places for 9] • 1072 = 11449[14 : two x 7] [49:2places for 7x7] • 1092 =11881 • 1122144 • = 124 • = 12544 ANSWER ANSWER ANSWER

  18. 55 times 55 = ??? 552 = 5 x 6 and 52 = 30 and 25 = 3025

  19. 55 times 75 = ??? 55 x 75 = 5 x 7 + 6 and 52 = 41 and 25 = 4125

  20. Multiplying 2 mixed numbers with the same units and fractions adding to 1 ANSWER

  21. Multiplying a number ending in digits that add to 10 Eg 75 x 75 = 7 x 8 and 5 x 5 = 56 and 25 = 5625 (as before) • 84x 86 = ? 84x 86 = 8 x 9 and 4 x 6 = 72 and 24 = 7224

  22. Squaring 2 digit numbers Eg 732 = 76 x 70 + 32 = 5320 + 9 = 5329 or 732 = 702 +2(70 x 3) + 32 = 4900 + 2(210) + 9 = 5329 (ab)2 = (a+b)(a-b) + b2 or (ab)2 = a2 + 2(a+b) + b2

  23. Thank you and Have a great holiday

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