- Mathematics Specialist
- Year 11
Locus and Parametrisation
approx. 13 hrs
7 topics
23 concepts
Become proficient in Locus and Parameterisation to enhance your performance in your examinations.
approx. 13 hrs
7 topics
23 concepts
Become proficient in Locus and Parameterisation to enhance your performance in your examinations.
This learning program covers the essential components of the Year 11 Mathematics Specialist Locus and Parameterisation content as outlined in the Australian curriculum. In Year 11 Locus and Parameterisation, we help students gain a conceptual understanding of a locus as the geometrical relationship to an algebraic representation including straight lines, circles, ellipses, hyperbolic and parabolic curves. In addition, we teach students how to solve complex problems involving parametric representation.
This learning program is made up of the following 7 topics, broken down into 23 concepts.
Find the equation of a line that has been geometrically specified
Find the equation of a circle that has been geometrically specified
Find the equation of a ellipse that has been geometrically specified
Find the equation of a hyperbola that has been geometrically specified
Graph of an hyperbola on the Cartesian plane using locus
Graph of an ellipse on the Cartesian plane using locus
Complete the square to form the equation of an ellipse
The focus of a parabola
The definition of the parabola as a locus and related terms
Using the four parabolas with vertex at origin
The focal length of a parabola
The directrix of a parabola
Translated parabolas, the four shifted standard forms of the parabola
Find the equation of a parabola that has been geometrically specified
Convert parabolas in general form to vertex-focus form by completing the square
Find the vertex of a parabola
Parametrisation of a line
Parametrisation of the Circle
Reflection property of the parabola
Standard parameterisation of the parabola
Parametrisation of the Ellipse
Parametrisation of the Hyperbola
Locus problems involving one or more parameters
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