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Year 9 / Mathematics / Term 1 / Weeks 01 02

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Coordinate and model cardsYear 9 Maths · T1 W1–2 · Learner Packet

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Learner copy. All coordinates, places, hours and prices are invented classroom models. A point on a diagram is not a real safe route; a price model is not a quote. Show a diagram, calculation or clear explanation. You can use large print, an accessible digital graph, tactile grid, typing, speech, sign, AAC or a learner-directed scribe. Record the units and what the model leaves out.

Use the blank coordinate grid (PNG) or an equal-scale graph you can access. Its axes run from −8 to +8 in unit steps. The blank linear plot (PNG) has whole booked hours 0–8 horizontally and invented model dollars $0–$72 vertically in four-dollar steps; every eight dollars is labelled. Both print sheets contain axes only; you make the points and lines.

Card Invented domain Points or rule Find or explain
1 Digital poster pixels A(−4,1), B(2,4) Gradient
2 Stage sight line A(1,4), B(5,0) Gradient
3 Game wall A(2,−3), B(2,5) Gradient or why it is undefined
4 Garden plan edge A(−4,−2), B(4,−2) Gradient
5 Library floor plan A(−6,2), B(4,8) Midpoint
6 Light-rig drawing A(−3,−4), B(5,2) Midpoint
7 Model robot A(0,0), B(6,8) Straight-line distance in grid units
8 Sports diagram A(−2,1), B(1,5) Straight-line distance in grid units
9 Route sketch A(1,−2), B(7,6) Straight-line distance in grid units
10 Mural sketch A(−5,3), B(−1,−3) Gradient and midpoint
11 Theatre blocking A(−6,−4), B(2,2) Gradient and straight-line distance
12 Community garden map A(−4,−6), B(4,0) Midpoint and straight-line distance

Invented model studio: Plan C passes through (0,12) and (4,36). Plan D passes through (0,24) and (4,40). Each point is (whole booked hours, model dollars). Find both rules; plot them; determine when the prices match; compare three and eight hours. State why the model alone cannot establish the best real purchase.

Record: Context ; points/rule ; units ; horizontal change ; vertical change ; gradient or reason undefined ; midpoint ; straight-line distance ; model domain ; one missing real-world condition .

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