Three 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