Math Notes
9-1 Teacher Notes.pdf (59,1 kB) :
To assist students in making predictions based on real life events.
9-2 Teacher Notes.pdf (88 kB) :
For students to be able to determine the outcomes of real life events.
(Independent verse dependent)
9-3a Teacher Notes.pdf (65,4 kB) :
To provide an understanding that in using theoretical probability the outcome of certain events can be predicted.
9-3b and 9-3c Teacher Notes.pdf (87 kB) : Activities.
To provide an understanding that in using theoretical probability the outcome of certain events can be predicted.
9-4 Teacher Notes.pdf (77,8 kB) :
To provide a logical process to determine choices/combinations when given sets of information.
9-5 Teacher Notes.pdf (57,8 kB) :
To provide a logical process to determine how many different ways a set can be ordered. If you were having a dinner party and you were making the seating chart, how many different ways could you have?
9-6 and 9-7 Teacher Notes.pdf (119,4 kB) :
All students need to be able to think logically and critically. These kinds of skills can help you to figure out complicated problems in real life and even help for a future career (for example-police detective).
Tesselations and the Human Eye
The Twelve Days of Christmas
Task
Most of us are familiar with the traditional Christmas carol, The 12 Days of Christmas. Although there are many variations about what is given on each particular day, let us use the following version:
On the 1st day of Christmas, my true love gave to me a partridge in a pear tree.
On the 2nd day of Christmas, my true love gave to me 2 turtledoves and a partridge in a pear tree.
On the 3rd day of Christmas, my true love gave to me 3 French hens, 2 turtledoves and a partridge in a pear tree.
The song continues and the last verse is:
On the 12th day of Christmas, my true love gave to me 12 drummers drumming, 11 pipers piping, 10 lords a-leaping, 9 ladies dancing, 8 maids a-milking, 7 swans a-swimming, 6 geese a-laying, 5 GOLDEN RINGS; 4 calling birds, 3 French hens, 2 turtledoves and a partridge in a pear tree.
- Why do you think he is buying her so many presents?
- How many of each gift does the true love actually give?
- Which gift(s) are given in the greatest quantity (not necessarily most often)?
- Which gift(s) are given in the smallest quantity (not necessarily least often)?
- Discuss any patterns you discover.
- Suppose instead there were 15 days of Christmas. Which day's gifts would be given in the greatest quantity? Why? How many?
- What if there were 20 days? 25 days?
- Discuss what you have learned in this project.