Transcript Middle Focus group 7 Sept

Middle Focus Group
7 September 2011
Raewyn Carman
Dianne Ogle
Today
• What’s been happening? Share a game with
your colleagues
• 100 Coded Square
• Ripper Bingo
• Fractions
Ripper Bingo
• Fold a strip of paper into sixths
• Choose 6 fractions between one half and six sixths and
record them on your strip. Yes you have to use fraction
words.
• Roll two dice, call out a fraction less than one that can
be made with the numbers on the dice.
• If your fraction is on the top or bottom of your strip, rip
it off. Winner is the first to have ripped up their strip.
• Once the game is completed ripped strips can be used
to order the fractions, make number sentences etc.
Glue into student recording books placed on a number
line.
One half
Two
sixths
Three
fifths
Four
sixths
Three
quarters
Two
thirds
Fraction Language
Use words first then introduce symbols with care.
e.g. ‘one fifth’ not 1/5
How do you explain the top and bottom numbers?
The number of parts chosen
1
2
The number of parts the whole has been
divided into
Top and bottom numbers
• The top number counts
• The bottom number tells what is being
counted.
The problem with “out of”
1
2 +
2
3
8
6
2
3
3 = 5
x 24 =
“I ate 1 out of my 2
sandwiches, Kate ate 2 out
of her 3 sandwiches so
together we ate 3 out of the
5 sandwiches”!!!!!
2 out of 3 multiplied by 24!
= 8 out of 6 parts!
What connections have you made between
fractions and proportional reasoning?
The language
Importance of building conceptual understanding
(Skemp – Relational vs Instrumental)
Appropriate use of materials
Summary of Fractions Key Ideas
1. Use sets as well as shapes/regions from early on
2. Fraction Language - use words first and introduce symbols
carefully.
3. Go from Part-to-Whole as well as Whole-to-Part
4. Division is the most common context for fractions.
5. Fractions are not always less than 1, push over 1 early.
6. Fractions are numbers as well as operators.
7. Fractions are always relative to the whole.
8. Consider the relationship between ratios and fractions
9. Use addition/skip counting to find fractions of sets then
develop and apply multiplicative thinking –
Fractions are really a context for add/sub and
mult/div strategies
Dotty Pairs Game
• You need two sets of cards 1-6 or dice
• The children play in pairs. One child takes dots, the other
takes crosses.
• The players take turns turning over two cards or roll the dice.
The numbers are used to form a fraction e.g 2 and 5 are
turned over - could make two fifths or five halves.
• One fraction is chosen and marked on a 0-6 number line with
the players identifying mark.
• Winner is the person who can get three uninterrupted marks
on the number line.
• If a fraction is already marked on the number line the player
misses that turn.
0
1
2
3
4
5
6
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