Integration Matcher
This NRICH maths activity will give students insights into differentiation, integration and the relationships between the two without needing to get involved with technical manipulations.
It would be well suited to use as an introduction or summary to differentiation or integration. It is very good for giving intuitive meaning to the procedures and features of integration and differentiation, so would suit students with a range of technical skills.
The accurate charts can also be used as a problem involving fitting curves to equations. They can also be used to practice numerical integration.
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Activity time: 20 mins
Level / prior knowledge: A-level/integration,…
Activity time: 20 mins
Level / prior knowledge: A-level/integration, differentiation
Subject / curriculum links / skills: Maths/A-level/Integration
Preparation time: 10 mins to familiarise yourself with task
Extra resources: photocopies
Commentary:
This task is great for encouraging different ways of thinking and can be used to explore the topics of integration, differentiation, graph plotting and transformations, The basic premise being to match graphs of functions with graphs of their integrals. Of course the problem could also be reversed to match graphs of functions with graphs of their derivatives. Alternatively, rather that match features of the graphs such as turning points, my class worked out what functions the graphs should be, integrated them and then matched this function to another graph. We ended up talking about all three methods and which would be more efficient to use. We used one method to check another. The task promoted a very rich discussion!
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Resource by: NRICH
Collections
The resource is part of NRICH
- NRICH samples
- NRICH Activities at Stage 5
- Integration Matcher
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