Making Your Students Feel Like A genius

( And maybe you )

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

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

DO I HAVE TO BE REALLY GOOD AT

MATHS TO SURVIVE THIS CLASS ???

• 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 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

Solve the answers

Multiplying 2 digit Numbers

Eg. 11 13x 12 x 1313 2 16 9

ADD 11 plus 2 ( = 13)Multiply 1 x 2 ( = 2 )

ANSWER

Multiplying 2 digit Numbers

Eg. 17 19x 13 x 19 21 81 20 28 221 361

ADD 17 plus 3 ( = 20)Multiply 7 x 3 ( = 21 )

ANSWER

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 = ? 632 = ?592 = 34 and 92 [34 : 25+9] [81:2places for 81]

= 3481632 = 38 and 132 [38 : 25+13] [169:2places for 169]

169= 38= 3969

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] =

2209392 = 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]

1072 = 11449 [14 : two x 7] [49:2places for 7x7]

1092 = 118811122 144 = 124 = 12544

ANSWERANSWE

R

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 ( -9 : less than 100)

97 ( -3 : less than 100)

= 8827 [88 : 91- 3 : 97 - 9] [27:2places for 6]

91 x 97 =

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 =

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 = 118811122 144 = 124 = 12544

ANSWERANSWE

R

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 numbersEg 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