EDUC258_T03.DOC - Notes on Tutorial T03 Equivalent...

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Notes on Tutorial T03: Equivalent fractions 1. (a) 1 2 = 2/4 (b) 1 5 = 2/10, 2/5 = 4/10, etc. (also 5/10 = 1 2 ) 2. (a) Each sector represents the fraction 1 number of sectors . (b) The total number of parts is the number of sectors the number of parts in each sector. (c) The equivalences obtained are of the form 1 number of sectors number of parts in each sector number of sectors number of parts in each sector , 2 number of sectors 2 number of parts in each sector number of sectors number of parts in each sector , 3 number of sectors 3 number of parts in each sector number of sectors number of parts in each sector , and 4 number of sectors 4 number of parts in each sector number of sectors number of parts in each sector . 3. (a) The pattern relating equivalent fractions (clear in the examples in Qu 1-3) is numerator denominator numerator multiple denominator multiple . (b) I would expect a Year 6 or 7 child to take a specific example (e.g., 3/4 = 6/8) and explain it using one of the concrete models in Qu 1-3—but in

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