### MAV - mathculator

```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
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
•
•
•
•
•
•
• Think of a number
• Double it
• Write down a 3 digit number
with digits decreasing, eg. 861
• Reverse this number and
•
•
subtract it from the first
number
the reverse of the number
• Using 1089 from before
•
•
multiply this by ANY 3 digit
number
How many digits in your
Tell me any 5 of your digits
• Write down any 2 1 digit number
•
•
•
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.
• 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
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
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]
1072 = 11449 [14 : two x 7]
[49:2places for 7x7]
1092 = 11881
1122
144
= 124
= 12544
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]
1072 = 11449 [14 : two x 7]
[49:2places for 7x7]
1092 = 11881
1122
144
= 124
= 12544
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
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
```