- Mathematics Extension 1
- Year 11
Locus and Parametrisation
approx. 13 hrs
6 topics
21 concepts
Gain proficiency in Locus and Parameterisation to enhance exam success.
approx. 13 hrs
6 topics
21 concepts
Gain proficiency in Locus and Parameterisation to enhance exam success.
This learning program covers the essential components of Year 11 Mathematics Advanced Locus and Parameterisation as outlined in the NSW syllabus. We teach students how to demonstrate conceptual understanding of a locus as the geometrical relationship to an algebraic representation including straight lines, circles and parabolic curves. In addition, students master algebraic techniques to solve locus problems using parameters.
This learning program is made up of the following 6 topics, broken down into 21 concepts.
The parametric equation of a chord
The parametric equation of a tangent
The parametric equation of a normal
The equation of a chord of contact on a parabola
Intersection of two tangents on a parabola
Standard parameterisation of the parabola
Reflection property of the parabola
Locus problems involving one or more parameters
Parametrisation of the Circle
Parametrisation of the Hyperbola
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 parabola that has been geometrically specified
The definition of the parabola as a locus and related terms
The focal length of a parabola
Using the four parabolas with vertex at origin
Translated parabolas, the four shifted standard forms of the parabola
The focus of a parabola
The directrix of a parabola
Convert parabolas in general form to vertex-focus form by completing the square
Find the vertex of a parabola
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