Saturday, 28 April 2012

Maths Trainer




Maths Trainer

Flex your Maths muscles!
Part 1 Large numbers and Place Value


Photo by Wanda's Pictures - http://flic.kr/p/apFuHn

Why revise and practise?

People in a range of professions; Musicians, athletes, footballers, writers, doctors, nurses, all must learn and practise skills in order to do a quality job.  As learners of Maths we too need not only to learn new knowledge and skills but also to go over (revise) and practise what we have learnt to help these skills to go into our longer term memory and to help us become speedier, more accurate and grow and improve as mathematicians.




Why Maths?

Photo by Sean MacEntee - http://flic.kr/p/9dNVh1
Your may not always think about how Maths is used all around you but it's use is everywhere.  Take the building of an Olympic stadium. Maths is used to measure and survey a suitable site for the stadium. Budgets have to be calculated for the materials and labour needed to build it. Complicated schedules have to be drawn up for all the different engineering tasks involved in getting a site ready and in organising and managing the build.  Measure is involved in so many parts of the build from calculating the volume of Earth that will need to be removed, to working out in scale drawings and plans the size of the site, the volume of people it will hold, the size of pitches and tracks and so on.  When the stadium is up and running Maths will be used to timetable events, work out the pricing of tickets, count those arriving to the venue, estimating parking and transport, timing athletes, presenting data on them and their achievements.  The list is endless.  Can you think of anything else Maths would be used for in this context?

So get ready to flex your Maths muscles using this paper to help you practise and improve your Maths skills.

Photo by familymwr - http://flic.kr/p/8vGa52


Large numbers
Large numbers are all around us, from numbers of people watching a television programme, to people logging onto a YouTube video, to number of people attending an event or living in Scotland. A knowledge of reading and using large numbers is important.
Photo by shotmeshotyou - http://flic.kr/p/2EjPs4
Do your work on this document then email it to me at Primary6Astore@hotmail.co.uk

Remember to:
  Rename the document so that it is called Maths trainer then your name
  To put Maths and your name as the title of your email
  You will need to go to settings and link your iPad to your email to be able to send and receive emails
Creative task
Collect some big numbers from different places and say where you found them e.g in the 2011 season of major league baseball in the U.S. 73 451 522 people attended games.  Premier league-13,407,540 . people in Scotland -5,062,011
Dark haired people have 108,000 hairs. 220,000,000 cats in the world
Get online!
The link below takes you to a link which helps you to visualise really big numbers.  The site is American and so uses cents.
Ever wondered what a trillion dollars looks like?
The game below helps you to practise typing a number out in words.

73 451 022

Partition 3 big numbers e.g. In the number quoted above there are:
73 millions
4 hundred thousands
5 ten thousands
1 thousand
0 hundreds
2 tens
2 units
234 876 916
234 million
8 hundred thousands
7 ten thousands
6 thousand
9 hundreds
1 ten
6 units

34 215 879
34 million
2 hundred  thousand
1 ten thousand
5 thousand
8 hundreds
7 tens
9 units

21 345 678
21 million
3 hundred thousand
4 ten thousands
5 thousand
6 hundred
7 tens
8 units




Type out 2 more large numbers in this form.
Say what the underlined number is worth e.g. In the first example the 3 is worth 3 hundreds.
For example,
54 324, - 3 hundreds              
Now you have a go:
54 233, - 4 thousand       
55 600,   - 5 ten thousands
65 330,      -3 tens
10 540 000,     -10 million
10, 999 999  -9 units
Play a game
At the link below you can practise finding the value of a digit in a number.






Choose a different colour of text and then, type in the missing numbers (deleting the question marks and putting the next number in instead.  Do you notice a pattern? Are the numbers going up or down? How much are the numbers changing by each time?
Type a sentence about what you notice underneath each line.
45 400,       45 500,   45 600           45 700     45 800    45 900
The numbers are going up by 100.
765 000,    760 000    755 000, 750 000?      745 000   740 000   735 000
The numbers are going down by 5000.
512 624,    522 624,   532 624,      542 624,   552 624, 562 624
 The numbers are going up by 10 000.
7 500 000,    7 000 000,   6 500 000,    6 000 000,    5 500 000,      5 000 000
The numbers are going down by 100 000
What is one more and one less than:
700 001,     700 002    700 000            700 000,   700 001 699 999 799 999,   800 000  799 998 750 000 750 001 749 999
La Liga football league, in Spain,  had approximately 11 400 000 attendees in their 2010-2011 season.
What is a million more than this number? 12 400 000
What is a million less than this number? 10 400 000
What is the number one more than this number? 11 400 001
What is the number one less? 11 399 999
What else could you do?
Creative task
Look up world population on the app Qwiki.  Make up a simple news item on these statistics using the app, Talking News. 
Links to games you can play on your iPad
http://www.funbrain.com/tens/index.html