Make equal groups. Find the fraction.

Start with six checks and three worked examples. Then practise 40 original questions as support fades toward independent work.

This is one untimed curriculum foundation, with original practice that gives feedback rather than a score prediction.

The lesson, full practice and four A4 student and answer editions open with a saved Year 7 goal and current learning access. Answer copies open only to accounts allowed to see answers.

Start with one equal group

The whole is 18 counters. Share them equally into six groups.

One sixth is 18 ÷ 6 = 3 counters. Two sixths are two of those groups: 3 + 3 = 6. The whole remains 18.

How the practice builds

  1. 1. Find your starting point. Six questions show whether the whole and equal groups are clear.
  2. 2. Follow the models. See how to find a part, rebuild a whole and find what remains.
  3. 3. Work together, then alone. Six guided and eight supported questions lead to twenty independent problems.
  4. 4. Come back later. Six retrieval questions revisit the idea after three, seven and fourteen days.

The route in the Learning Map

Equal sharing leads directly to unit fractions. The saved route includes 8 earlier skills you can revisit when needed.

Number and algebra

  1. Counts forwards and backwards to 20Kindergarten
  2. Reads and writes numerals to 10Kindergarten
  3. Compares two groups to say which has more or fewerKindergarten
  4. Counts to 100 by ones and tensYears 1–2
  5. Combines and separates small groups to model adding and taking awayKindergarten
  6. Skip counts by 2s, 5s and 10sYears 1–2
  7. Recalls addition facts to 20Years 1–2
  8. Recalls multiplication facts for 2s, 5s and 10sYears 3–4
  9. Models division as equal sharing and groupingDirect foundation · Years 3–4
  10. Recognises and names unit fractions of shapes and collections (the target)Target skill · Years 5–6

What this foundation covers

The National Assessment Program’s Year 7 numeracy descriptions include finding fractions of quantities. Its guidance says most questions draw on prior years of schooling.

This route uses the NSW Stage 3 unit-fractions lesson as a prior-learning foundation. It covers equal groups, a selected fraction, the remaining quantity and recovering the whole.

Sources checked 5 October 2026: Year 7 proficiency descriptions, what is in NAPLAN tests and the NSW mathematics course overview. EdDots authored the exercises independently.