Middle Focus Group7 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

Four sixths

Three quarters

Two thirds

Three fifths

Two sixths

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?

1 2

The number of parts chosen

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.

+ = “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”!!!!!

12

23

35

The problem with “out of”

86

x 24 = 2 out of 3 multiplied by 24!23

= 8 out of 6 parts!

The language

Importance of building conceptual understanding(Skemp – Relational vs Instrumental)

Appropriate use of materials

What connections have you made between fractions and proportional reasoning?

Summary of Fractions Key Ideas1. 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-Part4. 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 fractions9. 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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