Straight Line Graphs, Parallel Lines, Transforming Functions
Key Stage: 3 ★
What happens to the equations of the lines when they are translated up and down or left and right?
This problem helps students to consolidate their understanding of how equations of the form y=mx+c describe the gradient and position of lines. Students explore the effect of translating a straight line on its equation. Students are encouraged to visualise the movement of the graphs in order to conjecture and test their conjectures. This is good preparation for future work on transforming the graphs of more complicated functions.
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 ★
What happens to the equations of the lines when they are translated up and down or left and right?
This problem helps students to consolidate their understanding of how equations of the form y=mx+c describe the gradient and position of lines. Students explore the effect of translating a straight line on its equation. Students are encouraged to visualise the movement of the graphs in order to conjecture and test their conjectures. This is good preparation for future work on transforming the graphs of more complicated functions.
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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This is a great activity to do to consolidate understanding of the equations of straight lines. It would also be a nice introduction into translating functions at higher KS4. There are a lot of suggestions as to how you could run this activity in the teachers notes (follow the web link) and it could easily be made to form a whole lesson, use of a projector or IWB is useful. Thank you for sharing.
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