Worked example · Expressive Arts · Year 5
DCF: Data and computational thinking → Problem-solving and modelling
A secure Year 5 response, annotated so you can see which success criterion each part meets. It is also the answer key. Key answers: bars E (4½) and F (3½) are the bugs; the loop is repeat 4 times [A B], repeat 4 times [C], repeat 2 times [A B]; 16 bars, 64 beats; quavers are ½ of bar B and semiquavers ¼ of bar D; 8 quavers or 16 semiquavers fill a bar; extension 32 seconds.
| Notes | Beats |
|---|---|
| 1 crotchet | 1 |
| 1 quaver | ½ |
| 2 quavers | 1 |
| 1 semiquaver | ¼ |
| 4 semiquavers | 1 |
| 1 minim | 2 |
| 1 minim and 2 quavers | 3 |
| Bar | Number sentence | 4 beats? |
|---|---|---|
| A | 1 + 1 + 1 + 1 = 4 | Yes |
| B | ½ + ½ + 1 + ½ + ½ + 1 = 4 | Yes |
| C | 2 + 1 + 1 = 4 | Yes |
| D | ¼ + ¼ + ¼ + ¼ + 1 + 1 + 1 = 4 | Yes |
| E | 1 + ½ + ½ + 1 + 1 + ½ = 4½ | No |
| F | 2 + ½ + 1 = 3½ | No |
Bar C has a rest. It is silent but it still lasts 1 beat, so 2 + 1 + 1 = 4.
Fix E: take away the last quaver: C Q Q C C, 1 + ½ + ½ + 1 + 1 = 4.
Fix F: add a quaver after the first one: M Q Q C, 2 + ½ + ½ + 1 = 4.
Adds halves and quarters correctly and uses the totals to find the bugs. Other correct fixes: E could change the last crotchet to a quaver (C Q Q C Q Q); F could change the quaver to a crotchet (M C C). Evidences criteria 1 and 2.
repeat 4 times [ A B ]
repeat 4 times [ C ]
repeat 2 times [ A B ]
(a) 4 × 2 = 8 bars, then 4 bars, then 2 × 2 = 4 bars. 8 + 4 + 4 = 16 bars, the same as Gruff’s list.
(b) 16 × 4 = 64 beats.
Three lines replace sixteen, and the pupil checks the loop plays exactly the same bars. Evidences criterion 3.
| Program | Plays |
|---|---|
| repeat 2 times [ A B ] | A B A B |
| repeat 2 times [ A ] repeat 2 times [ B ] | A A B B |
| repeat 2 times [ B ] repeat 2 times [ A ] | B B A A |
A computer follows instructions in exactly the order they are written. The same bars in a different order make a different rhythm, so the drummer would not fit with the band.
Evidences criterion 4.
(a) 4 quavers × ½ = 2 beats. 2 out of 4 beats = 2/4 = ½ of the bar.
(b) 4 semiquavers × ¼ = 1 beat. 1 out of 4 beats = ¼ of the bar.
(c) 8 quavers (8 × ½ = 4) or 16 semiquavers (16 × ¼ = 4).
(d) Bar G: S S Q C M. ¼ + ¼ + ½ + 1 + 2 = 4.
Knows that two quarters make a half and two halves make a whole, and writes the fractions in number sentences. Evidences criteria 1 and 5.
It fitted ☑. My partner counted to 4 and my last note, the minim, lasted for beats 3 and 4.
64 beats ÷ 2 beats every second = 32 seconds.