Shanghai Teaching Showcase 2015

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Presentation transcript:

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

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

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)

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!

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?

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=

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 =( )÷( )  

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

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

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

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