Ask Mia — Ask Our Class
Teacher key: tally sheet and key-testing card
There is no fixed answer here: the counts are this room’s
Every number on both pages comes from the class survey, so check the working rather than the values.
Tally sheet
The four counts added must equal the number of people asked. A total larger than the number asked means somebody was marked twice; a total smaller means somebody was missed, or a group was counted short by fives.
Key-testing card
A key works only when all four counts divide by it with nothing left over. A key of 1 always works and always survives, so it is the floor, not the answer. The answer is the largest key that leaves whole figures in every row, and the count that blocks the bigger keys is the one that is not a multiple of them.
Figures needed in a row = that row’s count divided by the key. At a key of 5, a count of 20 needs 4 figures, while a count of 7 cannot be drawn in whole figures at all, so the key of 5 falls.
Key sentence
Expected: a sentence naming one figure and the number of votes it stands for, using the key the pair kept. Accept any wording another pair can read the rows with.
Read for
A close response tests every key against all four counts and can point at the count that knocked each key out. A loose one picks 10 because the book used 10, or crosses a key out after checking only the longest row.
When another pair reads a number back wrong, the fault is either a row with the wrong number of figures or a key sentence naming the wrong number. Have them check the sentence first, since one wrong sentence makes all four rows read wrong.