Let's Think About How To Multiply and Divide Fractions Grade 6 (Japan)
From APEC HRDWG Wiki
This lesson in Japan was captured on video for an APEC Education Network (EDNET) project called Classroom Innovations through Lesson Study. The lesson is an example of using the Lesson Study process of professional development in the teaching of Mathematics. The lesson plan and full lesson video are available below. Video highlights with descriptions and analysis are available at the end of this page.Contents |
Lesson Overview
This Grade 6 research lesson was taught at Takehaya Elementary School Attached to Tokyo Gakugei University. It was a part of the school based lesson study. The lesson was taught by Mr. Takeshi Yamada to a class of 41 students. The lesson was a part of the unit focusing on multiplying and dividing by fractions, i.e., fractions as the multiplier or the divisor. Students have previously studied multiplication and division of decimal numbers as well as multiplying and dividing fractions by whole numbers and multiplying fractions by fractions. The lesson is an introductory lesson on dividing by a fraction.
[High Performing Economy  ] [Demonstration Practice  ] (see Resource Types)
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Lesson Video in Quicktime (82.2 MB) (Video Clips and Highlights Available below. Right-click and select "Save Target As" to download.) |
List of Episodes (Coming Soon) |
Video Clips and Highlights from the Lesson
The video clips are selected from the full List of Episodes (above). The Full Lesson Video may be downloaded for further study.
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Description of Video Clip |
Video Links |
| Mr. Yamada poses 9/20 ÷ 3/5. By changing both fractions to decimal numbers students obtain the quotient of 0.75, or 3/4. The teacher then asks the class to think about how to calculate 9/20 ÷ 3/5 = 3/4. |
Segment 1. Introduction
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After about 8 minutes of individual problem solving time, the teacher signals the beginning of the whole class discussion time. The first student suggested the method of dividing the numerators and dividing the numerators, to which K-kun raised the question what if the numbers are not divisible. The class decides to discuss this question first even though there were other methods of calculation that have not been shared. |
Segment 2. Students' presentation
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The class return to the discussion of other ways of calculating 9/20 ÷ 3/5. Three additional methods are shared. |
Segment 3. Whole class discussion
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| As the time is running out, the teacher summarizes today's lesson and preview what they will discuss in the next lesson. |
Segment 4. Summarizing and consolidating students’ understanding
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Final comment at the end of the post-lesson discussion by Prof. Koichi Nakanura, Tokyo Gakugei University |
Final comment
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The expansion of the topic on division of fractions Grade 6 – Teacher Takeshi Yamada
