# Exact text and tactile alternatives for six original A4 aids

Every word below corresponds to the visual aid. The visual uses four numbered/labelled boxes, left-aligned top to bottom; colour is optional. For tactile use, write each heading and its two lines on separate large cards or embossed/raised strips, keep the printed order, and allow a learner to place arrows between cards. Read the title and summary aloud only if requested. The same counting target applies.

## Two-set map · `two-set-map`

Four panels count a two-set union by placing the overlap once.

SUBJECTNEST  /  YEAR 11  /  SPECIALIST MATHS
Two-set map

GIVEN  /  FILE A
Sketching 17; coding 13; both 5.
Universe 30 fictional people.

FOUR DISJOINT REGIONS
Sketch only 12; both 5; coding only 8.
Neither 5; all four sum to 30.

UNION  /  IN EITHER CIRCLE
17 + 13 - 5 = 25.
Subtract the five counted twice.

REASONABLENESS
Union 25 is at least 17 and at most 30.
It excludes the five in neither.

One person in both sets is still one person.
Original A4 aid  |  exact text and tactile route supplied

## Three-set map · `three-set-map`

Four panels count a three-set union with pairwise overlaps including the centre.

SUBJECTNEST  /  YEAR 11  /  SPECIALIST MATHS
Three-set map

GIVEN  /  FILE C
Sets 12, 11, 9; pairs 4, 3, 5.
All three 2; universe 28.

WHAT PAIRS MEAN
Each pair count includes all-three.
Pair-only cells are 2, 1 and 3.

INCLUSION-EXCLUSION
12 + 11 + 9 - 4 - 3 - 5 + 2 = 22.
The centre is restored once.

OUTSIDE ALL THREE
28 - 22 = 6 people in none.
Seven exact regions sum to 22.

Add sets; subtract pairs; restore the centre.
Original A4 aid  |  exact text and tactile route supplied

## Sum or product? · `sum-product-switch`

Four panels contrast one exclusive alternative with a two-stage outcome.

SUBJECTNEST  /  YEAR 11  /  SPECIALIST MATHS
Sum or product?

ONE OF TWO LISTS  /  OR
D: three studio or four outdoor sessions.
Exactly one booking: 3 + 4 = 7.

ONE FROM EACH STAGE  /  AND
E: three shapes and four captions.
Every pair allowed: 3 x 4 = 12.

IF LISTS OVERLAP
Plain addition repeats shared outcomes.
Subtract the shared count once.

IF PAIRS ARE RESTRICTED
A uniform product can overcount.
Count each first-choice branch instead.

Name the complete outcome before choosing an operation.
Original A4 aid  |  exact text and tactile route supplied

## Branch tree · `branch-tree`

Four panels show multiplication inside mutually exclusive branches, then addition.

SUBJECTNEST  /  YEAR 11  /  SPECIALIST MATHS
Branch tree

START  /  FILE F
Choose one visual OR one audio route.
No complete route belongs to both.

VISUAL BRANCH
2 themes x 3 layouts = 6 cards.
Each theme reaches three leaves.

AUDIO BRANCH
2 narrations x 2 paces = 4 cards.
Each narration reaches two leaves.

COMBINE LEAVES
6 + 4 = 10 complete choices.
A 6 x 4 product pairs both routes.

Multiply within; add across exclusive branches.
Original A4 aid  |  exact text and tactile route supplied

## Region audit · `region-audit`

Four panels reconstruct File C from seven nonoverlapping regions.

SUBJECTNEST  /  YEAR 11  /  SPECIALIST MATHS
Region audit

CENTRE FIRST
All three = 2.
Pair-only: AR 2, AC 1, RC 3.

SINGLES NEXT
A only 7, R only 4, C only 3.
All seven regions are nonnegative.

REBUILD SET TOTALS
A: 7+2+1+2=12; R: 4+2+3+2=11.
C: 3+1+3+2=9.

UNION AND OUTSIDE
7+4+3+2+1+3+2=22.
Universe 28 leaves 6 in none.

If a pair is smaller than centre, recheck the data.
Original A4 aid  |  exact text and tactile route supplied

## Method chooser · `method-chooser`

Four panels classify overlapping sets, exclusive choices, stages and mixed branches.

SUBJECTNEST  /  YEAR 11  /  SPECIALIST MATHS
Method chooser

OVERLAPPING SETS
A: 17+13-5 = 25.
Ask who was counted twice.

EXCLUSIVE ONE-OF CHOICES
D: 3+4 = 7.
Ask whether options are distinct.

STAGES FORM ONE OUTCOME
E: 3 x 4 = 12.
Ask whether every pair is allowed.

EXCLUSIVE BRANCHES WITH STAGES
F: 2 x 3 + 2 x 2 = 10.
Explain each branch before adding.

The story and outcome decide; a keyword alone does not.
Original A4 aid  |  exact text and tactile route supplied

The aids are original SubjectNest work © NeuroForgeIO Pty Ltd 2026, [CC BY 4.0](https://creativecommons.org/licenses/by/4.0/).