4. Whole Numbers

Albert_Einstein.jpg

Small is the number of people who see with their eyes and think with their minds. ~ Albert Einstein
It’s amazing how people are too busy to simply observe what is going on around them. Even worse some people are too busy to take time out to think for themselves so they seek easy answers/solutions. The point is that nothing worthwhile comes without a little effort and observation and thinking require effort.

"Learn from yesterday, live for today, hope for tomorrow. The important thing is not to stop questioning." Albert Einstein

Objectives: By the end of this unit you should be able to:

write numbers using several different counting systems
use the four basic operations efficiently with whole numbers
use mental strategies for arithmetic computations
estimate answers to simple problems involving whole numbers using a range of strategies
apply the order of operations.

1.1 Number Systems	The Story of 1 : The history of Mathematics according to Monty Python: http://video.google.com/videoplay?docid=-1957179570191443503
	The history of Mathematics : http://video.google.com/videoplay?docid=-1957179570191443503#docid=6830673418213036684
1.2 Whole Number Patterns
1.3 Magic Squares	Some interactive Magic Squares in different degrees of difficulty: http://www.allmath.com/magicsquare.php More Magic Squares randomly generated http://www.senteacher.org/Worksheet/30/Magic.xhtml Magic Squares in Ancient Engravings from Math Cats http://www.mathcats.com/explore/puzzles/magicsquare.html Magic Squares through the ages, by different people, and finding some more Maths Facts using Magic Squareshttp://mathforum.org/alejandre/magic.square.html A magic Square, which can be played online (Source http://www.dubster.com/math/)
1.4 Division
1.5 Estimation & rounding
1.6 Order of Operations	http://www.media.pearson.com.au/schools/cw/au_sch_coffey_mz7_1/dnd/1_order.html
1.7 Mental strategies
1.8 Number sentences
1.9 Perfect Squares
1.9 5 Place value	Please use the following links: http://www.cimt.plymouth.ac.uk/projects/mepres/book7/bk7i2/bk7_2i1.htm http://www.cimt.plymouth.ac.uk/projects/mepres/book7/bk7i2/bk7_2i2.htm http://www.cimt.plymouth.ac.uk/projects/mepres/book7/bk7i4/bk7_4i1.htm http://www.cimt.plymouth.ac.uk/projects/mepres/book7/bk7i4/bk7_4i2.htm
Review	http://wps.pearsoned.com.au/mz7/90/23164/5930221.cw/index.html Whole Numbers Exercises.doc
	Roman Numerals Revision: http://sln.fi.edu/time/keepers/Silverman/html/RomanMatch.html

Also the history of Mathematics can be found at this link

http://video.google.com/videoplay?docid=-1957179570191443503#docid=6830673418213036684

Number systems from around the world:

http://www.omniglot.com/language/numerals.htm

Additional Resources :

Some more number puzzles and interactive games http://nlvm.usu.edu/en/nav/frames_asid_157_g_4_t_1.html?open=instructions&from=topic_t_1.
Magic Square, Magic Triangle 1 and Magic Triangle 2 - The first three of a series of number puzzles. Drag the numbers onto the red circles to make the rows, columns and diagonals all add up to the same total. (Source http://mathematics.hellam.net/)
Magic Stars (1), Magic Stars (2) Two more from a series of number puzzles. Drag the numbers onto the red circles to make the sums and products of two sets of four numbers the same. (Source http://mathematics.hellam.net/)