Manipulating formulae/Visualising
Key Stage: 4 ★★
Can you make sense of this picture illustrating the formula for the sum of the first six cube numbers: 1^3 + 2^3 + 3^3 + 4^3 + 5^3 + 6^3 = (1 + 2 + 3 + 4 + 5 + 6)^2?
This resource allows students to practice proof and reasoning by interpreting the picture, and invites them to generalise by deriving a formula for the sum of the first n cube numbers, and create a diagram to illustrate their proof.
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: 4 ★★
Can you make sense of this picture illustrating the formula for the sum of the first six cube numbers: 1^3 + 2^3 + 3^3 + 4^3 + 5^3 + 6^3 = (1 + 2 + 3 + 4 + 5 + 6)^2?
This resource allows students to practice proof and reasoning by interpreting the picture, and invites them to generalise by deriving a formula for the sum of the first n cube numbers, and create a diagram to illustrate their proof.
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.
Something went wrong, please try again later.
This resource hasn't been reviewed yet
To ensure quality for our reviews, only customers who have downloaded this resource can review it
Report this resourceto let us know if it violates our terms and conditions.
Our customer service team will review your report and will be in touch.
£0.00