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Year 10 / Mathematics / Term 1 / Weeks 03 04

Development draft · local review needed

Learner data · two invented designsYear 10 Maths · T1 W3–4 · Student Data

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The records on this page were made for this lesson. No person played a game, attended an event, answered a survey or supplied personal information. Do not turn a pattern here into a claim about actual learners, audiences, products or causes. Keep every denominator and category attached to its source.

Source G · game-map draft marks

A fictional design notebook lists how many clue icons were placed on each draft game map. x is the number of rooms on a map; y is the number of clue icons in that draft. Repeated room counts are separate draft maps, not duplicate measurements of one map. No one tested whether a map is playable.

Draft Rooms x Clue icons y
A 1 5
B 1 6
C 2 8
D 2 9
E 3 11
F 3 12
G 4 14
H 4 15
I 5 22

For comparison, the notebook proposes M(x)=3x+2 clue icons as a simple description, not a rule for every map. A residual is listed icons − model icons. This line predicts 5, 8, 11, 14, 17 for x=1..5; the five-room draft differs most. Do not call an unexplained difference an error, let alone a cause. A claimed pattern can be tested against the whole nine-draft set.

Source G2 · invented promotion

“Every extra room guarantees exactly three more clues. We checked nine maps; the design rule works without exception. Use it for any game.”

This is a fictional notice to critique. It selects an attractive interpretation; no sampling method or gameplay outcome is reported.

Source C · game-card design register

A different fictional desk notebook lists 50 made-up card designs, not players or purchasers. Two variables were recorded: the intended theme label and whether the draft design uses two sides. Eight cards have no assigned theme but their side count is recorded. “Unassigned” is a category of the notebook, not a judgement about a person.

Theme label Two-sided One-sided Row total
Puzzle 18 6 24
Story 9 9 18
No theme assigned 3 5 8
All designs 30 20 50

A designer says, “Three quarters of all cards are two-sided.” Check which group could give 3/4 and whether that is the whole register. The table cannot show why a design received its theme, whether two sides are better, or what players prefer. If a future group wanted to investigate player preference, it would need a new ethical, authorised and privacy-safe design; this table contains no such evidence.

Optional constructed mini-deck for Day 19

These 12 entirely new imaginary cards are not added to Source C's 50 unless a task explicitly says so. Each pair is theme / sides: Puzzle/2, Puzzle/1, Puzzle/2, Story/1, Story/2, Story/2, Story/1, No theme/2, No theme/1, Puzzle/2, Story/2, No theme/1. Learners may sort physical word cards, arrange the text list, or dictate the same two-way table. The correct mini-deck counts are in the teacher guide; the class is conducting a paper classification of constructed records, not observing a real population.