1. Shanghai Teaching Showcase 2015
London Thames Maths Hub
Shanghai Teaching Showcase 2015
Observation 2
Year 8 - Fractions
Lesson 1 – Linking division and fractions
Lesson 2 – Equivalent fractions
Today – Simplifying fractions
Mr He
(Mike)
Yangjin-Juyuan
Experimental School
Lesson 5 – Common denominator
Lesson 6 – Adding and subtracting fractions
Lesson 7 – Multiplying fractions

2. Shanghai Teaching Showcase 2015
London Thames Maths Hub
Shanghai Teaching Showcase 2015
Taking the concrete to the abstract

3. Shanghai Teaching Showcase 2015
London Thames Maths Hub
Shanghai Teaching Showcase 2015
Taking the concrete to the abstract
1 ÷ 2
𝒑÷𝒒= 𝒑 𝒒
(𝒒≠𝟎)

4. Shanghai Teaching Showcase 2015
London Thames Maths Hub
Shanghai Teaching Showcase 2015
Can you try?
Taking the concrete to the abstract
Multiply the numerators, multiply the denominators!

5. Shanghai Teaching Showcase 2015
London Thames Maths Hub
Shanghai Teaching Showcase 2015
Conceptual Variation
If I want to divide 3 mooncakes into 4 equal parts.
How many mooncakes in each part?

6. Shanghai Teaching Showcase 2015
London Thames Maths Hub
Shanghai Teaching Showcase 2015
Procedural Variation
1. Multiple examples of the problem
⑴7÷13=    ⑵3÷11=  
⑶8÷5=    ⑷9÷16=    
⑸n÷m=

7. Shanghai Teaching Showcase 2015
London Thames Maths Hub
Shanghai Teaching Showcase 2015
Procedural Variation
3. Multiple applications of a method
⑴（ ）÷7=      ⑵1÷（ ）=     
⑶ =（ ）÷9     ⑷ =（ ）÷（ ）  

8. Shanghai Teaching Showcase 2015
London Thames Maths Hub
Shanghai Teaching Showcase 2015
Different forms of variation
Multiple examples of the problem
Multiple methods of solving a problem
Multiple applications of a method

9. Shanghai Teaching Showcase 2015
London Thames Maths Hub
Shanghai Teaching Showcase 2015
分数=Fraction
分:distribute
数:number

10. Shanghai Teaching Showcase 2015
London Thames Maths Hub
Shanghai Teaching Showcase 2015
1 0
1÷3
1 divided into 3
1÷0
1 is not divided

11. Shanghai Teaching Showcase 2015
London Thames Maths Hub
Shanghai Teaching Showcase 2015
Observation – What to look out for
Mr He’s lesson plan
Lesson PPT slides – with space to annotate
Worksheet
Observation Form