Number-Property Problem Solvers — Year 6

Teach learners to translate a number clue, build a complete candidate set, test every condition and justify the result. This original Year 6 sequence uses the ambiguous “composite square between 20 and 40” clue to show that both 25 and 36 work, then adds “even” to make 36 unique. Pupils challenge false claims with counterexamples and regroup factors to simplify multiplication. The five-lesson path includes explicit modelling, guided decisions, independent practice, a partner game, transfer rehearsal and a fresh assessment.

What's included

• 25-page PDF unit plan: clean table of contents, three-page teacher guide, model display, 12 worked cards, three candidate-investigation sheets and matching answer pages, 12-challenge partner game, two rehearsal sheets and matching answers, independent assessment and marking page, and learning-evidence rubric.
• Editable 18-slide PowerPoint presentation.
• Editable 26-slide PowerPoint quiz with 12 question/answer pairs and explanations.
• Watermarked 69-page Preview PDF.

Learning focus

Prime, composite and square-number properties; factors; multi-constraint puzzles; complete solution sets; counterexamples; efficient factor grouping.

Classroom use

Whole-class modelling, guided and independent practice, partner game, formative checks and criterion-referenced assessment. Support can use pre-listed candidates; extension can author and verify a new clue set.

Formats and answers

PDF unit plan, 25 pages; PowerPoint presentation, 18 slides; PowerPoint quiz, 26 slides; Preview PDF, 69 pages. Matching red answer/marking pages follow the relevant student worksheets and assessment.

Teacher benefits

Explicit model-to-transfer sequence; complete solution-set reasoning; answer evidence; ready-to-use assessment criteria.

Digital product and licence

Digital download only; no physical product. Classroom use by the purchaser under the shop's digital product licence.