09b+Locus+and+the+Parabola+-+Standards

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 * =9b. Locus and the Parabola = || **Grove** || **Pender** || **Fitzpat** || **J&C 3U** || **Syllabus** ||
 * 1	||	Can explain the idea of locus, and contrast it with a Cartesian definition of a graph.	||	11.1/11.2	||	9A	||	10.1	||	17.1	||	9.5	||
 * 2	||	Can describe circles, ellipses, perpendicular bisectors and angle bisectors in terms of locus.	||	11.3	||		||	10.3	||	17.2	||	9.5	||
 * 3	||	Can describe the parabola as a locus in descriptive terms.	||	11.4	||	9B	||	12.12	||	17.3	||		||
 * 4	||	Can describe the focal length of a parabola.	||	11.4	||	9B	||	12.12	||	17.3	||		||
 * 5	||	Can define and draw diagrams to show the focus, directrix, vertex, axis, focal length, focal chords and the latus rectum.	||	11.4	||	9B	||	12.12	||	17.3	||		||
 * 6	||	Can derive the equation for a parabola in the four standard positions.	||	11.4/11.5	||	9B	||	12.12	||	17.4/17.5	||	9.5	||
 * 7	||	Can describe the vertex, axis and focal length of a parabola given the algebraic equation of the parabola.	||	11.6	||	9C	||	12.12	||	17.5	||	9.5	||
 * 8	||	Can find the algebraic equation for any parabola with a horizontal or vertical axis given its geometric description.	||	11.6	||	9C	||	12.12	||	17.5	||	9.5	||
 * E9	||	Can describe the difference between parametric equations and Cartesian equations.	||	11.8	||	9D	||	24.2	||	23.3	||	9.6	||
 * E10	||	Can give the equations of a parabola in parametric form.	||	11.8	||	9D	||	24.3	||	23.1	||	9.6	||
 * E11	||	Can derive the equation for a chord passing through t=p and t=q	||	11.9	||	9E	||	24.3	||	23.2	||	9.6	||
 * E12	||	Can show that for a focal chord passing through t=p, t=q, that pq = -1	||	11.9	||	9E	||	24.3	||	23.2	||	9.6	||
 * E13	||	Can show the tangent to a parabola at point P(2ap, ap^2) has gradient p.	||	11.9	||	9F	||	24.3	||	23.3	||	9.6	||
 * 14	||	Can calculate equations for tangents and normals to the parabola in Cartesian form.	||	11.7	||	9G	||		||	23.3	||	9.5	||
 * E15	||	Can derive the equation for the chord of contact of tangents to an external point.	||	11.9	||	9H	||	24.3	||	23.4	||	9.6	||
 * E16	||	Can prove the tangent to a parabola at a given point is equally inclined to the axis and the focal chord through the point.	||	11.10	||	9I	||	24.3	||	23.5	||	9.6	||
 * E17	||	Can prove the tangent at the extremities of a focal chord intersect at right angles on the directrix.	||	11.10	||	9I	||	24.3	||	23.5	||	9.6	||
 * E18	||	Can solve simple locus problems involving chords, tangents and normals on the parabola.	||	11.10	||	9J	||	24.3	||	23.6	||	9.6	||