• Mathematics Specialist
  • Year 11

Locus and Parametrisation

approx. 13 hrs

8 topics

30 concepts

Become proficient in Locus and Parameterisation to enhance your performance in your examinations.

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Overview

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. 

Topics & Concepts We Cover

This learning program is made up of the following 8 topics, broken down into 30 concepts.

  • Parametrisation of the parabola 2 concepts

    1. Standard parameterisation of the parabola

    2. Reflection property of the parabola

  • Parametrisation of the parabola 7 concepts

    1. The parametric equation of a chord

    2. The parametric equation of a tangent

    3. The parametric equation of a normal

    4. The equation of a chord of contact on a parabola

    5. Intersection of two tangents on a parabola

    6. Standard parameterisation of the parabola

    7. Reflection property of the parabola

  • Ellipse and Hyperbola as a Locus 5 concepts

    1. Find the equation of a ellipse that has been geometrically specified

    2. Find the equation of a hyperbola that has been geometrically specified

    3. Graph of an ellipse on the Cartesian plane using locus

    4. Graph of an hyperbola on the Cartesian plane using locus

    5. Complete the square to form the equation of an ellipse

  • Parametrisation of the circle and line 2 concepts

    1. Parametrisation of a line

    2. Parametrisation of the Circle

  • Parametrisation of the ellispse and hyperbola 2 concepts

    1. Parametrisation of the Ellipse

    2. Parametrisation of the Hyperbola

  • Locus problems involving parametric equations 1 concept

    1. Locus problems involving one or more parameters

  • Circle and Line as a Locus 2 concepts

    1. Find the equation of a line that has been geometrically specified

    2. Find the equation of a circle that has been geometrically specified

  • Parabola as a Locus 9 concepts

    1. Find the equation of a parabola that has been geometrically specified

    2. The definition of the parabola as a locus and related terms

    3. The focal length of a parabola

    4. Using the four parabolas with vertex at origin

    5. Translated parabolas, the four shifted standard forms of the parabola

    6. The focus of a parabola

    7. The directrix of a parabola

    8. Convert parabolas in general form to vertex-focus form by completing the square

    9. Find the vertex of a parabola

What you'll get

Learning Content

  • A customised learning plan to suit your needs, adapting to your pace as you learn, progress and achieve mastery
  • All the content required to help you master the syllabus, including theory, worked examples, exam preparation and practice questions

An Expert Tutor

  • We match you to a private, expert tutor who is right for your needs and goals
  • Our tutors are talented, tested, top ATAR achievers and subject experts
  • During each session, your tutor guides you through your learning program, providing real-time, live expert tutoring in Locus and Parametrisation

Reporting

  • Access information at every stage showing what's been mastered, what areas need to be worked on and what's next
  • You and your parents receive a comprehensive feedback report after every session
  • Every session is recorded and available for you to watch at any time, allowing you to review what was covered

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Starting at

$49(inc. GST)

per session

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