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Mathematics·Multiplication & Division·procedural

Ratio (age 10+)

Perform mental calculations including with mixed operations and large numbers, using strategies such as partitioning, compensation, and derived facts

Suggested ages 10–11

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Learning journey

Your child is advancing to sophisticated multiplication and division — using formal written methods for complex calculations, working with decimals, and applying the order of operations to solve multi-step problems.

Evidence of understanding

  • Mentally compute 45 × 8 by partitioning into 40 × 8 + 5 × 8
  • Use known facts to derive 6.5 × 4 mentally
  • Solve a multi-operation mental calculation such as 250 × 3 + 500 and explain the strategy used

Assessment prompt

Can Ratio (age 10+) work out a mixed calculation like '(200 × 6) + 350 − 75' entirely in their head — keeping track of each step without writing anything down?

Standards alignment

No external standards are linked to this topic.