The coordinate-grid SVG (PNG) has x and y from -8 to +8 at equal unit spacing. The comparison-plot SVG (PNG) has labelled integer hours 0–8 and credits $0–$72; it is deliberately blank for plotting. Both have SVG titles/descriptions and these text alternatives. Enlarge, emboss or use an accessible digital graph with announced coordinates. Grid distance means straight-line separation in grid units, not automatically walking distance, travel time or a safe design measurement.
Plain-text coordinate and formula card
Point A = (x1,y1); B = (x2,y2). Horizontal change Δx = x2-x1.
Vertical change Δy = y2-y1. Gradient m = Δy/Δx if Δx ≠ 0.
Horizontal line: Δy=0 and Δx≠0, so m=0.
Vertical line: Δx=0, so gradient is undefined (never call it 0).
Midpoint M=((x1+x2)/2, (y1+y2)/2).
Straight-line distance d=√[(x2-x1)^2+(y2-y1)^2].
For model C(h)=fixed amount + rate × h, label units and domain.
Model audit: What is assumed? What is omitted? What can this predict?
Original mixed-domain route cards
All coordinates and uses are invented classroom models. Do not infer a real map, built environment or device performance.
| Card | Fictional situation and points | Worked teacher key |
|---|---|---|
| 1 digital poster | pixels A(-4,1), B(2,4) | Δx=6, Δy=3, m=1/2 |
| 2 stage sight-line | A(1,4), B(5,0) | Δx=4, Δy=-4, m=-1 |
| 3 game wall | A(2,-3), B(2,5) | vertical; gradient undefined |
| 4 garden-plan edge | A(-4,-2), B(4,-2) | horizontal; m=0 |
| 5 library floor-plan | A(-6,2), B(4,8) | midpoint (-1,5) |
| 6 light-rig drawing | A(-3,-4), B(5,2) | midpoint (1,-1) |
| 7 model robot | A(0,0), B(6,8) | straight-line d=√100=10 units |
| 8 sports diagram | A(-2,1), B(1,5) | d=√(9+16)=5 units |
| 9 route sketch | A(1,-2), B(7,6) | d=√(36+64)=10 units |
| 10 mural sketch | A(-5,3), B(-1,-3) | m=-6/4=-3/2; midpoint (-3,0) |
| 11 theatre blocking | A(-6,-4), B(2,2) | Δx=8, Δy=6; m=3/4; d=10 |
| 12 community garden map | A(-4,-6), B(4,0) | midpoint (0,-3); d=10 |
Graph-check cards: A line through (0,12) and (4,36) has gradient 6 credits/hour, so C(h)=12+6h. Another through (0,24),(4,40) has gradient 4, so D(h)=24+4h. Both are stipulated fictional quotes for a model print studio. The intercept is a set-up charge, not a guaranteed real price. At h=6, both equal 48; at h=3, C=30 and D=36; at h=8, C=60 and D=56. Domain 0≤h≤8 in whole booked hours. There is no evidence about quality, availability, taxes or fees outside the stated model.
Learner record and access cue
POINTS / CONTEXT: __________________ UNITS: ___________
Δx: ______ Δy: ______ GRADIENT: ______ (or undefined)
MIDPOINT: __________ STRAIGHT-LINE DISTANCE: __________
MODEL RULE AND DOMAIN: __________________________________
WHAT THIS MODEL LEAVES OUT: _____________________________
RESPONSE ROUTE: text / large-print / tactile / digital / AAC / other
ACCESS SUPPORT: __________ MATHEMATICAL CUE: ___________
NEXT CHECK WITH NEW VALUES: _____________________________
Rights: Original cards and record © NeuroForgeIO Pty Ltd 2026, CC BY 4.0. ACARA source/terms in README. Teacher review pending.