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:
-
Equation of a circle and midpoints
-
Tangent to a circle
-
Normal to a tangent
- Turning points
- Solids of revolution
-
Expanding brackets
- Factor theorem
-
Geometric sequences
-
Transformation of graphs
-
Hyperbolas
-
Roots of a cubic
Resources
Filter
Subject
Age
Type
Showing 22 result(s)
Equal tangents
In this problem students are given two circles with tangents that meet at a point P. The distance along the tangents from the circles to the point P are equal in length. The challenge is to describe the relationship between the x and y coordinates of the point P, given the coordinates of the centre of the circles...
Ratio of tans
In this resource students are given the coordinates for each vertex of a triangle, with two of the vertices being horizontal. The challenge is to determine the ratio of the tangents of two of the angles.
Each student worksheet has a different triangle, but the solutions all have something in common.
...
Triangle tan product and sum
In this resource the side lengths of a triangle are given. The challenge is to find the ratio of the product of each of the tangents, divided by the sum of each of the tangents.
Each student worksheet contains a different triangle, but the answers all have something in common.
The solution involves...
Wedged triangles
In this resource students are given an image of a reciprocal curve, y=k/x. Two tangents to the curve are used, together with the coordinate axes, to form an 'arrow head' quadrilateral under the curve. The challenge is to determine the area of the quadrilateral.
The first step towards solving the problem...
Pages
| Subject(s) | Mathematics |
|---|---|
| Age | 16-19 |
| Published | 2010 to 2019 |
| Published by | |
| Collections | |
| Direct URL | https://www.stem.org.uk/cxewsp |
