# Original low-ink integer and coordinate aids

The [fixed-scale SVG number line](integer-number-line.svg) ([PNG](integer-number-line.png)) shows -10 to +10 at equal intervals; the [SVG grid](integer-coordinate-grid.svg) and [PNG preview](integer-coordinate-grid.png) show axes from -5 to +5. This plain-text page is an alternative; enlarge, emboss or use accessible digital coordinates. In every context below, quantities are **fictional** and the reference zero is stated. No climate, financial or geographic outcome is asserted.

## Number line, equal one-unit steps

```text
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1  0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10
 |--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|
```

This text rendering is a verbal guide; for plotting, use the fixed-scale print line above or redraw on a ruler at **equal spacing**. Negative numbers increase as you move right: -2 is greater than -5. `0` is neither positive nor negative. “Four units below zero” is -4; the sign depends on a stated reference, not whether the situation is desirable.

## Coordinate route card

```text
VERTICAL AXIS: y     POSITIVE y ↑
                         |
NEGATIVE x  ←------------(0,0)------------→ POSITIVE x
                         |
                    NEGATIVE y ↓

START: (____, ____)   MOVE x: right/left ____ units
MOVE y: up/down ____ units   END: (____, ____)
I changed x by ____ and y by ____ .
QUADRANT: I (+,+) / II (-,+) / III (-,-) / IV (+,-) / axis
```

An ordered pair always reads **(x, y)**. A point like (0,3) is on the y-axis; (-2,0) is on the x-axis. Each axis tick is one equal unit. Give quadrant names only after learners can locate the signs.

## Original context and plotting cards

| Card | Fictional prompt | Teacher key |
| --- | --- | --- |
| 1. Lift simulation | Ground = 0; a model lift stops three floors below ground. | -3 |
| 2. Game balance | Start 0 points; a puzzle deducts 5 points. | -5 |
| 3. Weather-board sketch | A fictional display is two degrees below 0 °C. | -2 °C |
| 4. Sea-level model | A paper cave symbol is 4 units below reference sea level. | -4 |
| 5. Rooftop model | A paper marker is 6 units above ground reference. | +6 |
| 6. Story timeline | A story places event A at -7 and event B at -2 relative to a chosen 0. Which is later on the line? | B (-2) |
| 7. Account simulator | A fictional game balance starts at -4 credits and gains 7. | +3 credits |
| 8. Elevator route | Starts +2, moves down 5 floors on a scale allowing negatives. | -3 |
| 9. Robot A | Plot (3,2) from origin. | Quadrant I |
| 10. Robot B | Plot (-4,1). | Quadrant II |
| 11. Stage light | Plot (-2,-3). | Quadrant III |
| 12. Game token | Plot (4,-2). | Quadrant IV |
| 13. Transit-map icon | Starts (-3,2), moves right 5, down 3. | (2,-1), Quadrant IV |
| 14. Digital art point | Starts (2,-4), moves left 4, up 6. | (-2,2), Quadrant II |
| 15. Sports strategy marker | Starts (-1,-2), moves right 3 and up 2. | (2,0), x-axis, no quadrant |
| 16. Theatre cue | Starts (0,4), moves left 2 and down 6. | (-2,-2), Quadrant III |

Keep Cards 13–16 sealed until Days 9–10 transfer. Contexts span games, travel models, finance simulation, design, theatre and mapping without requiring personal disclosure. A claim about an actual account, weather report or sea depth requires a real source; this pack supplies none.

## Quick observation slip

```text
REFERENCE ZERO: ______________________________
INTEGER / POINT: _____________________________
MODEL USED: number line / grid / tactile / digital / verbal / other ____
INDEPENDENT? yes / after repeat / after mathematical cue / after model
EXPLANATION OF SIGN OR ORDER: __________________
NEXT TEACHING: ________________________________
```

Original aids © NeuroForgeIO Pty Ltd 2026, CC BY 4.0. National source and ACARA's separate rights in [README](README.md). Educator/access review pending.