These resources have been reviewed and selected by STEM Learning’s team of education specialists for factual accuracy and relevance to teaching STEM subjects in UK schools.

Coordinate Geometry

Seven RISP activities covering a range of topics, each one having some activity which explores coordinate geometry.

Circle Property: Students generate two coordinates. The coordinates form the end points of the diameter of a circle. Students have to find the equation of the circle formed, compare their results with colleagues and explain their findings.

Circles or Not?: Students use a graph plotter to alter the coefficients of the equation of a circle and explore which values produce a circle and why.

Tangents: Explores the equation of a tangent to a quadratic. Students are asked to use a graph plotter to draw a quadratic graph of the form y=x2 + a2, then draw a line y=kx altering the value of k until the line is a tangent to the curve. Students then form a relationship between k and a.

More Venn diagrams: A Venn diagram is given with the three sets defined. Students have to generate a pair of straight lines for each region. The activity is repeated for quadratic equations.

Six Parabolas: Students explore the properties of six quadratic graphs using a graph plotter.

Advanced Arithmogons: Extends the idea of numerical arithmogons to coordinate geometry, algebraic fractions, product rule and quotient rule.

Parabolic Clues: Students have to identify the equation of a parabola given four properties. The twist to this activity is that a quadratic can be found which has any three properties but in each case not the fourth property.

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