Students have to try and work out which expression will give the biggest answer when a value for x is substituted in. Of course, it isn't that simple and they find that the answer varies depending on the value used. It is a good opportunity for them to consider how drawing graphs can help find whereabouts solutions might lie. I have also included some blank autograph axes which can be used to plot the graphs more dynamically and find what regions are highest for each. Extension questions could include finding expressions where one is always bigger, one which is higher above a specific value for x etc. Lots of opportunity for extension - students could also use Autograph themselves to experiment! If you liked this resource, then please check out my other stuff on TES! :) https://www.tes.com/resources/search/?authorId=2095097
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Thank you for publishing your resource. It has been selected to be featured in <a href="https://www.tes.com/teaching-resources/collections/secondary-maths/"> a new secondary maths collection</a>.
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This lovely resource has been selected as my Resource of the Week. Please visit http://www.tes.com/teaching-resources/blog/maths to view my video review, including ideas for extensions and adaptations, and to access all the other Resources of the Week in this current series. Thank you so much for sharing, you are helping to inspire teachers and students all over the world! Craig Barton.
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