The SVG/PDF files are original layouts. These ordered routes contain every instructional field and caution; colour, sound, fine motor marking and visual shape recognition are never necessary for the reasoning target. A learner may answer in Braille, print, AAC, sign, dictated words, typed text or movable labelled cards. Offer stable high-contrast print or large text as appropriate and check with the learner rather than claiming universal accessibility. Blank lines on a PDF are response spaces, not secret content. Never infer independent reading from a read-aloud alone.
Source-claim mat · Days 11–20
Title: Read the claim; keep the condition. Intro: “A public sentence is made by someone, for someone, from selected facts.” Four boxes in reading order:
- Text / maker / audience. Say the maker and intended audience. Copy or reproduce one exact word or phrase that positions a reader.
- Desk note / model. State the unit, base, period or whole-set rule before calculating.
- What the numbers support. Name the group, quantity and known comparison. Put the arithmetic next to the group it describes.
- Revise and keep unknown visible. Finish “For this group and model, I can say …”. Name a still-unknown term or next source needed.
Footer caution: Do not turn an invented price or one case into a universal promise.
Tactile route: Four numbered, separately textured or raised-edge cards can be arranged left to right. Put a word card for “exact phrase” on card 1, unit/base/period tokens on card 2, quantities on card 3, and an UNKNOWN token on card 4. Texture has no meaning unless a spoken/Braille number label accompanies it. The learner directs the order and states the revision.
Rate-base mat · Days 11, 13 and 16
Title: Compare like quantities. Intro: “For a whole pack, count packs before multiplying the price.” Four ordered areas:
- The need. Record quantity and unit. Choose YES, NO or UNKNOWN for whether part of a pack can be bought.
- Two stated rules. For A and B separately write
fixed + (per unit × quantity)orwhole packs × set priceas the source requires. Do not combine incompatible units. - Matched totals. Record A total, B total and the known gap for the same needed quantity.
- Condition and missing term. Say “only at this quantity”; place delivery or quality in UNKNOWN if the source does not supply it.
Tactile route: Put a labelled NEED quantity card first, two vertical A/B rule rows next, paired TOTAL cards after them, and an UNKNOWN card last. For whole packs, use complete labelled rectangles; a part-card may stand for needed use but must not be counted as a purchasable fraction unless the source permits it.
Budget-window mat · Days 14 and 19
Title: What is actually available? Intro: “Separate an allocation from committed, proposed and unknown amounts.” Four ordered areas:
- Window / income. State one week, four-week what-if or other explicit period, then the allocation for that period.
- Categories. Name FIXED or already committed; DISCRETIONARY or proposed; and UNKNOWN, which is not
$0. - Remainder. Calculate
allocation − stated commitments − chosen proposal, with currency unit. - Repeat only if assumptions hold. Name the period and what needs a fresh quote or recheck before any future claim.
Tactile route: Four ordered cards WINDOW, CATEGORIES, REMAINDER, RECHECK. Within CATEGORIES use three independently labelled pockets FIXED, PROPOSED and UNKNOWN. An empty UNKNOWN pocket does not mean zero; place a tactile question-mark token there. Duplicate the full one-week stack four times only for the source's unchanged four-week what-if.
Percent-period mat · Days 15, 18 and 20
Title: Name the base. Name the period. Intro: “Percentages change a stated base; time must match the rate.” Four ordered areas:
- First base and operation. Record the dollar base or starting amount and the exact percentage. Mark increase, decrease, GST addition or simple-interest model.
- New base or time period. After a first percentage change, write the new amount before applying another percentage. For interest, match annual rate with years; for GST, state that the supply is assumed fully taxable and whether the price is exclusive or inclusive.
- Result with units. Simple interest reminder:
principal × annual decimal rate × years. Fully taxable GST model reminder:10% of exclusive price. Write a dollar result and distinguish interest or tax amount from total. - Claim boundary. State what was assumed and what was not modelled before editing the public sentence.
Footer caution: A rate for a year is not a rate for a month.
Tactile route: Use four numbered cards and distinct labelled BASE 1 and BASE 2 tokens; never identify them by texture alone. Lay rate and period tokens next to their exact base. A second percentage starts only after the learner replaces BASE 1 with BASE 2. Keep ASSUMED FULLY TAXABLE and UNKNOWN as spoken/Braille labels when using GST.
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