These ten days use made-up gallery, music, archive, design and game situations. You do not need to tell anyone about your home, family spending, belongings or health. Use paper, counters, a printable aid, the full text/tactile route, speech, sign/AAC, pointing, typing or a person who writes your exact words. Explain how you know. Your teacher will say when to choose one A/B/C practice route. The Day 15 and Day 20 practice routes come after a new check.
Day 11 · A label needs a reason
Arrange 12 and 16 into rectangles. How many positive factors can you show? Decide which are composite and which are square. Ask why 1 and 2 are special cases, then choose one route.
Day 12 · Do not miss a factor pair
List or build all factor pairs of 18. Investigate whether 23 has any pair other than 1 × 23. Explain when you can stop checking smaller possible factors.
Day 13 · Square and composite can overlap
Make or imagine a 7-by-7 array. Does 49 have a square shape? Does it also have more than two positive factors? Check how 1 differs.
Day 14 · Use the property for a decision
A fictional gallery has 28 cards, then considers 29 and 36. Which totals allow equal rows and columns with both dimensions larger than 1? Which makes a square? Give an exact factor pair for each answer.
Day 15 · Fresh check
Your teacher gives a new number-properties check. Show factor evidence before a label. The Day 15 practice routes are for later.
Day 16 · Keep one whole
Use one 0–1 line split into 12 equal gaps. Place 1/4, 1/3 and 1/2 and explain their order. The endpoint 1 is the same-size whole for all three.
Day 17 · Different names, one mark
Place 2/4 and 1/2 on the same line. Do they need two positions? Compare 2/3 and 3/4 by changing both to twelfths, and explain the gap.
Day 18 · Travel beyond one
On a 0–2 line with 12 equal gaps in each unit, place 5/4 and 3/2. Mark 1 at gap 12 and 2 at gap 24 before comparing. Check whether an equivalent name sits at the same point.
Day 19 · Repair a false rule
Someone says 1/3 > 1/2 because 3 > 2. Use one whole, an equal-part bar or a number line to show what is wrong. Then choose a route that gives a better comparison rule.
Day 20 · Fresh fraction check
Your teacher gives a new fraction-line check. Start by fixing the whole and the scale. Justify an order; do not guess from the size of one digit. The Day 20 practice routes are for later.
Check your work: Are the factors positive whole numbers? Is every factor pair complete? Is the fraction whole the same size? Are tick spaces equal? Does your sentence explain the mathematical decision? Original SubjectNest learner prompts © NeuroForgeIO Pty Ltd 2026, CC BY 4.0.