Week 2: July 11 to July 15, 2016
Welcoming the World:
Mathematics is everywhere! Look around to discover it!
After the Rain Comes the Rainbow!
AT HOME
Diophantus – Father of Algebra
Diophantus was a Greek mathematician who lived in the third century.
He was one of the first mathematicians to use algebraic symbols.
Most of what is known about Diophantus' life comes from an
algebraic riddle from around the early sixth century. The riddle states:
Diophantus' youth lasted one sixth of his life. He grew a beard after one twelfth
more. After one seventh more of his life, he married. 5 years later, he and his
wife had a son. The son lived exactly one half as long as his father, and
Diophantus died four years after his son.
How many years did Diophantus live?
x x x
x
(Hint: Solve the equation:    5   4  x , where x is Diophantus' age
6 12 7
2
at the time of his death.)
USING TECHNOLOGY
Use Desmos Graphing Calculator to Graph Quadratic Relations
 https://1drv.ms/w/s!Ao3u1tD-HmmrgZttUbtxYyiKY3Fp4g
Journey to School - Analyze and think about the following question:
How risky is your journey to school?
 http://nrich.maths.org/12164
Online support sites:
Desmos Graphing Calculator
https://www.desmos.com/calculat
or
Desmos User Guide:
https://desmos.s3.amazonaws.co
m/Desmos_User_Guide.pdf
Documents:
A collection of mathematic
activities about running fast,
jumping high, throwing far, and
striving to be the best:

http://nrich.maths.org/second
ary-lower
Test your number sense and
problem solving skills with
“Yohaku” number puzzles:

http://www.yohaku.ca/anew-type-of-numberpuzzle.html
MY SUMMER, MY CITY!
Rainbow over Toronto
IN THE CITY
After the rain comes the rainbow!
Toronto's summer season is very pleasant and quite warm. After a
sudden strong rain and/or thunderstorm, usually there is a big
rainbow. The rainbow forms a complete circle; however, it is only half
visible so it makes a perfect parabola.
How high must a helicopter, leaving
Billy Bishop Airport in Toronto, fly
in order to fly above the rainbow
parabola presented in the
diagram.
Take a look at some of the
parabolas in Toronto's
architecture and design:
1. Toronto City Hall
2. CNE Dufferin Gate Entrance
3. Humber Bay Arch Bridge