• 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.

Available in


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.

Topics & Concepts We Cover

This learning program is made up of the following 6 topics, broken down into 21 concepts.

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

    2. The directrix of a parabola

    3. Using the four parabolas with vertex at origin

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

    5. The focus of a parabola

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

    7. The focal length of a parabola

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

    9. Find the vertex of a parabola

  • Parametrisation of the circle and line 1 concept

    1. Parametrisation of the Circle

  • Parametrisation of the ellipse and hyperbola 1 concept

    1. Parametrisation of the Hyperbola

  • Parametrisation of the parabola 7 concepts

    1. Intersection of two tangents on a parabola

    2. The parametric equation of a tangent

    3. The parametric equation of a chord

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

    5. The parametric equation of a normal

    6. Reflection property of the parabola

    7. Standard parameterisation of the parabola

  • Locus problems involving parametric equations 1 concept

    1. Locus problems involving one or more parameters

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


  • 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

Ready to start this program?

Simply pick a time that works for you

Add your payment details securely online

We'll be in contact to match you with one of our top tutors and book your first session

Starting at

$49(inc. GST)

per session

Fully flexible

PAYG and bundle plans

Use anytime

Access to practice questions

Not sure if this program is right for you?

Ask us, we'll help you find the right program.

Enquire now