Mathematics Fractions Conceptual 9–10 yrs

Equivalent fractions (age 9+)

等值分数（9岁以上）

Description

Explain why a fraction a/b is equivalent to (n×a)/(n×b) using visual models; use this principle to recognise and generate equivalent fractions, including tenths and hundredths

Mastery Evidence

✓ Use a fraction strip to show 2/3 = 4/6 = 6/9
✓ Explain that multiplying numerator and denominator by the same number gives an equivalent fraction because the size of the whole is unchanged
✓ Generate three fractions equivalent to 3/5 and verify with diagrams

Assessment Prompt

If your child needs to make 2/3 look different without changing its value, can they multiply the top and bottom by the same number and explain why the fraction stays the same?