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Factorials

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by

Mr Mattock

on 27 November 2015

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Transcript of Factorials

Factorials
Starter
Which is bigger:

(a) 2 x 2 x 2 x 2 or (b) 1 x 2 x 3 x 4

Calculating with factorials
6!

10!
8!
Factorials
Repeated multiplication: 3 x 3 x 3 x 3 x 3 x 3 = 3


Increasing multiplication: 1 x 2 x 3 x 4 x 5 x 6 = 6!
Starter
Which is bigger:

(a) 2 x 2 x 2 x 2 or (b) 1 x 2 x 3 x 4


= 16

= 24
L.O. - Understand factorials, and
calculate with factorials. (Grade 6+)

6
Calculating with factorials
6!
= 1 x 2 x 3 x 4 x 5 x 6

= 720

10!
1x2x3x4x5x6x7x8x9x10
8!
1x2x3x4x5x6x7x8
Worked
Example

=
= 9 x 10
= 90
Writing factorials
Express in factorial form

3 x 2 x 1

9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
Writing factorials
Express in factorial form

3 x 2 x 1 =
3!

9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
= 9!
Worked
Example
Main Activity
Main Activity
A = 5; B = 3; C = 1; D = 6; E = 4; F = 2
Dice of Ultimate Power

1) Give a key word for the lesson.
2) Summarise one key point for the
lesson.
3) Explain one thing you have learned this
lesson.
4) State one thing you still don't understand following this lesson.
5) Suggest one thing you would like to find out
based on this lesson.
6) Free choice from 1 to 5, or another you make
up.
Key
Examples

Activity
Answers

Activities
Main Activity
Main Activity
(a) 8 x 7 x 6 = 336 (b) = 19 x 18 x 17 x 16 x 15 x 14 = 19535040
(c) (21 x 20 x 19 x 18)/(4 x 3 x 2 x 1) = 7 x 5 x 19 x 9 = 5985
(d) (9 x 8)/(2 x 1) = 9 x 4 = 36
(e) 155 x 154 x 153 = 3652110
(f) (93 x 92 x 91 x 90)/(4 x 3 x 2 x 1) = 31 x 23 x 91 x 45
= 2919735
Full transcript