Mathematics Mathematical Thinking Meta 9–10 yrs

Fractions, Decimals & Percentages

分数、小数与百分数

Description

Look for and use mathematical structure: exploit the relationship between fractions, decimals, and percentages; use factor pairs to simplify multiplication; apply angle facts to find unknowns; use properties of regular polygons systematically

Mastery Evidence

✓ Use the structure 25 × 16 = 25 × 4 × 4 = 100 × 4 = 400 by exploiting factor pairs
✓ Recognise that 0.75 = 3/4 = 75% and use whichever form is most efficient for the problem
✓ Use the fact that angles on a straight line sum to 180° as a structural tool to find missing angles

Assessment Prompt

When your child notices that fractions, decimals, and percentages are just different ways of writing the same thing, do they use that understanding to switch between them fluidly when it makes a calculation easier?