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Something in Common: A Level Pure Mathematics
This sub-collection of resources from the ‘Something in Common’ collection contains 17 resources designed to bring a problem solving approach to the teaching of A Level Pure Mathematics. Each resource has an introductory presentation, printed materials, and supporting files. The topics covered are:
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Equation of a circle and midpoints
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Tangent to a circle
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Normal to a tangent
- Turning points
- Solids of revolution
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Expanding brackets
- Factor theorem
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Geometric sequences
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Transformation of graphs
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Hyperbolas
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Roots of a cubic
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Integration Stretch
The initial problem looks at an area given between two curves. The first curve is a parabola with the x and y axis intercepts given. The second curve is a stretch parallel...
Hyper-parabola
A hyperbola is given with a parabola ax2 touching each branch of the hyperbola at single points. The task is to determine the value of a.
A formal proof of the general situation involves substituting the equation of the parabola into the equation of the hyperbola. The...
The Shortest Race
The introduction to this problem involves modelling a race from one tree to another, and the requirement to touch a fence on the way. The challenge is to determine the...
A Fractional Sequence
The initial investigation uses an inductive formula and two initial values to derive a sequence that results in a series of fractions before returning to the initial two values of the sequence. A spreadsheet is provided that performs the calculations given in the inductive formula. This is helpful for both checking...
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| Subject(s) | Mathematics |
|---|---|
| Age | 16-19 |
| Published | 2010 to 2019 |
| Published by | |
| Collections | |
| Direct URL | https://www.stem.org.uk/cxewsp |
