Fractions
Key Stage: 3 ★★
Farey sequences consist of all fractions between 0 and 1 with denominators less than a particular number. What can you say about Farey sequences? What new fractions are needed for each Farey sequence that are not needed for the previous one?
This problem offers the opportunity to practise the important skill of ordering fractions while investigating and making conjectures about an intriguing sequence of sequences. There is a chance to work on a variety of questions at different levels.
This resource has comprehensive teachers' notes and resources, linked from the problem page. This includes possible approaches and key questions, as well as possible support and extensions.
The file attached is a HTML file, which, when opened, automatically redirects you to the problem on the NRICH website.
Key Stage: 3 ★★
Farey sequences consist of all fractions between 0 and 1 with denominators less than a particular number. What can you say about Farey sequences? What new fractions are needed for each Farey sequence that are not needed for the previous one?
This problem offers the opportunity to practise the important skill of ordering fractions while investigating and making conjectures about an intriguing sequence of sequences. There is a chance to work on a variety of questions at different levels.
This resource has comprehensive teachers' notes and resources, linked from the problem page. This includes possible approaches and key questions, as well as possible support and extensions.
The file attached is a HTML file, which, when opened, automatically redirects you to the problem on the NRICH website.
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