Report

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 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 • • • • • • Solve the answers • Think of a number • Double it • Add 14 • Halve your answer • Subtract the original answer • Your answer is 7 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 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 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. Solve the answers • Write down any number from • • • • each of the 3 number sets A 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 Multiplying 2 digit Numbers Eg. 11 13 x 12 x 13 ANSWER 13 2 16 9 ADD 11 plus 2 ( = 13) Multiply 1 x 2 ( = 2 ) Multiplying 2 digit Numbers Eg. 17 19 x 13 x 19 21 81 ANSWER 20 28 221 361 ADD 17 plus 3 ( = 20) Multiply 7 x 3 ( = 21 ) 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 Squaring a number between 30 and 70 Eg. 522 = 27 and 22 = 2704 [27 : 25+2] [04:2places for 4] 592 592 632 =? = 34 and 92 = 3481 = 38 and 132 169 = 38 = 3969 632 = ? [34 : 25+9] [81:2places for 81] [38 : 25+13] [169:2places for 169] 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 Squaring a number between 80 and 120 Eg. 1032 = 106 and 32 = 10609 [06 : two x 3] [09:2places for 9] ANSWER 1072 = 11449 [14 : two x 7] [49:2places for 7x7] ANSWER 1092 = 11881 1122 144 = 124 = 12544 ANSWER 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 97 = 8827 ( -9 : less than 100) ( -3 : less than 100) [88 : 91- 3 : 97 - 9] [27:2places for 6] Multiplying 2 numbers between 80 and 120 107 x 112 = 107 112 = 11984 ( 7 : morethan 100) ( 12 : more than 100) [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] Squaring a number between 80 and 120 Eg. 1032 = 106 and 32 = 10609 [06 : two x 3] [09:2places for 9] ANSWER 1072 = 11449 [14 : two x 7] [49:2places for 7x7] ANSWER 1092 = 11881 1122 144 = 124 = 12544 ANSWER 55 times 55 = ??? 552 = 5 x 6 and 52 = 30 and 25 = 3025 55 times 75 = ??? 55 x 75 = 5 x 7 + 6 and 52 = 41 and 25 = 4125 Multiplying 2 mixed numbers with the same units and fractions adding to 1 ANSWER 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) 84 x 86 = ? 84 x 86 = 8 x 9 and 4 x 6 = 72 and 24 = 7224 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 Thank you and Have a great holiday