Fraction skills using the calculator. (b) How many bundles of 4 in 9? 9 4 = 2.25 There are two whole bundles of 4 plus another quarter of a bundle (i.e. 2.25 bars). What concrete real-world situations are modelled for example, by the fraction ? Two possible situations:.
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There are two whole bundles of 4 plus another quarter of a bundle (i.e. 2.25 bars)
What concrete real-world situations are modelled for example, by the fraction ? Two possible situations:Interpreting fractions
When introducing the concept of a fraction as division and the resultant ‘answer’ as a decimal, students should be encouraged to carry out pen and paper calculations before using the calculator, for example:
‘Pen and Paper: = 9.00 4 = 2.25
‘Calculator’: key in 9  4 to get 2.25
Note that 2 1 4 is a calculator output meaning 2¼
The calculator has been programmed to perform ‘fraction to decimal’ or ‘decimal to fraction’ conversions automatically.
We already had:
9[a b/c]4 = 2 1 4
2 1 4
Pressing the [a b/c] key coverts this output to 2.25
Pressing the [a b/c] key again and it is coverted back to
2 1 4
i.e.2 1 4 [shift] [a b/c] produces 9 4
(a) mathematical understanding and
(b) developing approaches to operating on algebraic fractions.
Key sequence 4 [(] 1 [+] 2 [)] [x2]
Numerator output is: 36
Key sequence 3 [x2] [+] 4 [x2]
Denominator output is: 25
Once numerator and denominator have been calculated, a student has the choice of using  key or [a b/c] key i.e.
36 25 = 1.44decimal format
36 [a b/c] 25 = 1 11 25fraction format