Special Numbers

A surprising proportion of mathematicians are accomplished musicians. Is it because music and mathematics share patterns that are beautiful?" -- Martin Gardner

Objectives:
  • list multiples of numbers and find the lowest common multiple of a group of numbers
  • list factors of numbers and find the highest common factor of a group of numbers
  • use some tests of divisibility to assist in finding factors
  • identify prime and composite numbers
  • use a factor tree to find the prime factors of a number
  • deal with simple number patterns
  • find whole number powers of a number as well as square root and cube root
  • express natural numbers base 10 in binary form
  • add and multiply natural numbers in binary form.

Introduction:
How does the flash mind reader work? (Hint : It has something to do with multiples)
http://www.flashlightcreative.net/swf/mindreader/
2.1 Multiples
Multiples : Please complete the activities
http://www.cimt.plymouth.ac.uk/projects/mepres/book7/bk7i7/bk7_7i1.htm
http://www.cimt.plymouth.ac.uk/projects/mepres/book7/bk7i7/bk7_7i2.htm
http://www.cimt.plymouth.ac.uk/projects/mepres/book7/bk7i7/bk7_7i3.htm
Multiples Number Grid
external image vnd.ms-excel.png Multiples on a Number Grid.xls
2.2 Divisibility
external image x-zip.png Binary Numbers Card Trick.docx

external image msword.png DivisibilityTests Final.doc
2.3 Factors
Factors and Prime Numbers Please complete the following exercises:
http://www.cimt.plymouth.ac.uk/projects/mepres/book8/bk8i2/bk8_2i1.htm

Multiples & Factors Suduko
external image vnd.ms-excel.png Factors Sudoku.xls
Please use the following link for the Seive of Eratosthenes
external image empty.png number_grid.exe
2.4 Prime & Composites

2.5 Prime factors and Factor Trees
Please complete the following exercisehttp://www.cimt.plymouth.ac.uk/projects/mepres/book8/bk8i2/bk8_2i2.htm
2.6 Square and Cube Numbers

2.7 Powers
Powers : Please complete the activities
http://www.cimt.plymouth.ac.uk/projects/mepres/book8/bk8i2/bk8_2i3.htm
http://www.cimt.plymouth.ac.uk/projects/mepres/book8/bk8i2/bk8_2i4.htm

Review Questions:

Choose the "review questions" from the link below:

http://wps.pearsoned.com.au/mz7/90/23165/5930241.cw/index.html

http://www.media.pearson.com.au/schools/cw/au_sch_coffey_mz7_1/dnd/12_pow.html

Factors Game : (Can be played individually or in pairs)

http://illuminations.nctm.org/activitydetail.aspx?ID=12

Number Patterns Worksheets:

external image msword.png Number Patterns Worksheets.doc

external image msword.png Number Patterns Revision 2010.doc

Prime Numbers

Fibonacci Number Patterns Assignment

Watch "Nature by Numbers" at the link below:

http://www.etereaestudios.com/docs_html/nbyn_htm/movie_index.htm


external image msword.png Year 7 Fibonacci Assignment 2010.doc