Patterns and Sequences
Key Stages: 2 and 3 ★
Two sets of frogs can only slide or jump over each other. Can you swap them over? Can you do this without moving any frog backwards? Can you predict how many moves this will take?
This problem requires students to visualise, work systematically, and develop good representations. The engaging nature of the problem encourages students to persevere in order to get to a solution. Along the way they will notice patterns, make conjectures, and perceive structure to explain the patterns they notice.
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 Stages: 2 and 3 ★
Two sets of frogs can only slide or jump over each other. Can you swap them over? Can you do this without moving any frog backwards? Can you predict how many moves this will take?
This problem requires students to visualise, work systematically, and develop good representations. The engaging nature of the problem encourages students to persevere in order to get to a solution. Along the way they will notice patterns, make conjectures, and perceive structure to explain the patterns they notice.
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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