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Here are some specific activities, investigations or visual aids we have picked out. Click anywhere in the grey area to access the resource.

• Circle Equations Recognise and use the equation of a circle with centre at the origin and the equation of a tangent to a circle.

Here are some exam-style questions on this statement:

• "What is the equation of a circle, centered at the origin, that has a tangent passing through the points (-30, 0) and (0, -15)?" ... more
• "The diagram shows a circle with equation \(x^2+y^2=13\)." ... more
• "(a) Find the coordinates of the point at which the curve \(y = k^x\) intersects the y-axis." ... more
• "A circle with equation \(x^2 + y^2 = 6 \) meets a one of its tangents at point \(S\)." ... more
• " (a) The circumference of a circle is \(16 \pi \) cm and its centre is at the origin. Find the equation of the circle." ... more

See all these questions

Click on a topic below for suggested lesson Starters, resources and activities from Transum.

• Graphs This topic includes algebraic and statistical graphs including bar charts, line graphs, scatter graphs and pie charts. A graph is a diagram which represents a relationship between two or more sets of numbers or categories. The data items are shown as points positioned relative to axes indicating their values. Pupils are typically first introduced to simple bar charts and learn to interpret their meaning and to draw their own. More sophisticated statistical graphs are introduced as the pupil's mathematical understanding develops. Pupils also learn about coordinates as a pre-requisite for understanding algebraic graphs. They then progress to straight line graphs before learning to work with curves, gradients, intercepts, regions and, for older pupils, calculus.