1. Which diagram shows of the whole is shaded?5 6
Which diagram shows of the whole is shaded? 1 6 1 6 1 6
Different representations
Part-whole relationship
Accurate definition for 1/6
Check understanding of prior knowledge 1 5 6

2. < （ ） （ ） What fraction is shaded? 2 10 7 10
（ ） 7 10
（ ）
Compare and fill in the blank with “<,>,=” 2 10 7 10
Small steps
<

3. < > > Compare these fractions.
Think of the reason and fill in the blank. 2 5 3 5 6 7 4 7
<
>
Short task
Explanation leading to Generalisation a c b c
>
（a>b>0 c≠0 ）

4. When the numerator is bigger, the fraction is bigger.
Comparing fractions:
When the denominators are the same, we can compare the numerators.
When the numerator is bigger, the fraction is bigger. b a c a b a c a
>
Conclusion
Use algebra to generalise
（when b > c and a≠0, b≠0, c≠0）

5. What fraction of each shape is shaded?
Unit fraction, same denominator of 1
Draw students attention to what is varying
What are implications
Next small step
What do you notice?

6. > Compare these fractions using < > or = 2 3 2 5 1 3 1 5 >
Same denominator (not 1)
Next small step
Reasoning using prior knowledge of unit fractions
Clear stages in working
Diagram to support explanation
2 lots of > 2 lots of 2 3 2 5
>

7. > Compare these fractions: 3 8 3 10 Reasoning：
3 lots of > 3 lots of 1 8 10 1 3 8
Short task
Reasoning supported by number line diagram 1 3 10

8. < Compare these fractions: 5 12 5 9 Reasoning：
5 lots of < 5 lots of 1 12 9 1
Short task
Now <
Opportunity for pupils to practice verbal explanation 5 12 1 5 9

9. When the denominator is bigger, the fraction is smaller.
The comparison of fraction:
When the numerators are the same, we can compare the denominators.
When the denominator is bigger, the fraction is smaller. a b a c a b a c
<
Conclusion
Use algebra to generalise
（when b > c and a≠0, b≠0, c≠0）

10. > > > > Compare these fractions
using inequalities, from biggest to smallest 8 15 11 15 8 18 11 15 8 15
>
Short task – apply knowledge to comparing 3 fractions
Test understanding 11 15 8 15 8 18
>
> 8 15 8 18
>

11. > > > > > = > >
Compare the following groups of fractions, and write “>,<,=” 2 9 2 7 9 28 6 28
>
> 7 16 3 16
> 3
> 3 8 5 8
1515 14
> =
Short task of mixed questions
Draw attention to variation towards the end
3/3 < 3
15/15 = 14/14
3/6 > 2/7 requires simplifying first 23 47 23 16
> 3 6 2 7
>

12. > （ ） （ ） Fill in the blanks with fractions: 6 6 15 10 ★★★☆☆
▲▲▲ △△△
△△△ ▲▲▲
△△△
★★★☆☆ 6 15 6 10
>
（ ） （ ）
Question to check understanding from start to end of lesson

13. < 998 999 997 998 Compare these fractions using inequalities:
<
Dong Nao Jin