Earliest recommended Year group: Year 12.
Given certain facts about a parabola the pupils have to determine its equation. Then they need to integrate the function to work out ratios of areas. There is a neat solution that makes it very easy to do - which you can show them at the end. A further extension is to challenge them to do it without integration.
This is from the “Something in Common” collection of resources by John Burke. They allow consolidation of key skills, prevent students from copying each other (as all the questions are different), make marking and assessing easy for the teacher (as all the answers are the same!), and provide a lovely extra challenge for students as they try to figure out exactly what is going on! To access the full collection, and read John’s background notes, please visit: http://www.mrbartonmaths.com/common.htm
Given certain facts about a parabola the pupils have to determine its equation. Then they need to integrate the function to work out ratios of areas. There is a neat solution that makes it very easy to do - which you can show them at the end. A further extension is to challenge them to do it without integration.
This is from the “Something in Common” collection of resources by John Burke. They allow consolidation of key skills, prevent students from copying each other (as all the questions are different), make marking and assessing easy for the teacher (as all the answers are the same!), and provide a lovely extra challenge for students as they try to figure out exactly what is going on! To access the full collection, and read John’s background notes, please visit: http://www.mrbartonmaths.com/common.htm
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