Straight Line Graphs, Transformations of Graphs
Key Stage: 3 ★★★
What order of these transformations converts y=4x+7 into y=4x+2? Would other orders have worked?
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 combining reflections and translations and justify why a pair of transformations is (or isn't) commutative.
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 order of these transformations converts y=4x+7 into y=4x+2? Would other orders have worked?
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 combining reflections and translations and justify why a pair of transformations is (or isn't) commutative.
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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Challenging but interesting puzzle. Would need to be fairly clever KS3 students. Good revision tool for KS4 though.
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