Mathematics Fractions Conceptual 10–11 yrs

Dividing by Fractions

除以分数

Description

Interpret and compute division of a whole number by a unit fraction (e.g. 4 ÷ 1/5 = 20); use visual models and the relationship between multiplication and division to explain why the quotient is larger than the dividend

Mastery Evidence

✓ Compute 4 ÷ (1/5) = 20 and explain: 'How many fifths fit in 4 wholes?'
✓ Create a story context for 6 ÷ (1/4) and solve it
✓ Verify 4 ÷ (1/5) = 20 by showing 20 × (1/5) = 4

Assessment Prompt

If you have 4 metres of ribbon and each bow needs 1/5 of a metre, can your child work out how many bows you can make — and explain why the answer is bigger than 4?