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Appendix 4

              Fraction – Diagnostic Interview

                                                                                                        3.1.8 Accurate/reliable records to monitor students’ progress

                                                                                                        3.1.10 Assessment used to inform future learning experiences

 Area model - continuous (partitioning)

1.      Can you cut this circle to show me a quarter? What about a third? (ES1 & S1) (4.1.2 practical task)

2.      What fractions are shown in this shape? (partitioning)

3.      Using the play dough, how many different ways can you show one quarter? (4.1.2 open-ended)

Comparing fractions

4.      Which is larger, ½ or ¼?  Can you draw something to explain how you know? (4.1.2 drawn response)

Discrete model (number) (4.1.2 verbal response)

5.      This is one quarter of the lollies. How many lollies in the whole bag?

6.      What fraction of the lollies is green?

Linear model (measurement)

7.      Can you fold this strip of paper to show me one-fifth? (4.1.2 practical task)

8.      Now show me three-fifths of the strip

9.      Can you fold this piece of paper into thirds? How about sixths? (splitting)

Linear model (number line)

10.  On the number line, can you locate ¼? Now show me ¾. (partitioning)

11.  How about 2 2/3?

12.  Can you start from 0 and count by 1/3? (4.1.2 verbal response)

Re-unitising (4.1.2 drawn responses)

13.  How could we share 3 pizzas between 6 people? Draw your answer.

14.  Now share 6 pancakes among 8 people. Draw your answer.

Multiplicative Structure (Stage 3) (4.1.2 verbal response)

15.  Which is smaller, 2/3 or 3/5? Can you draw your answer and write an explanation?

16.  Which two fractions are equal?  Circle them. 1/2, 4/6, 3/6, 1/4

17.  1/4 = 3/12.  Is this true? How do you know?

18.  16/5 = 3 2/10. Is this true? How do you know?

19.  A) Minus 2/12 from 2/3                      B) Add 2 1/6 and 2/6 together (4.1.2 closed-ended)

20.  There are 5 cups that are two-fifths full. How many full cups are there altogether?

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