• Mathematics General
  • Year 11

Linear graphs and models

approx. 10 hrs

4 topics

20 concepts

Build mastery of modelling linear relations.

Available in


Linear graphs and models will equip students with the skills and techniques to graph and interpret linear relations with and without the aid of a graphing calculator. Students will explore the effect of parameters on a linear graph, including piecewise linear graphs. We will help students develop proficiency with processes such as interpolation and extrapolation to conduct data analysis on a range of practical problems.

Topics & Concepts We Cover

This learning program is made up of the following 4 topics, broken down into 20 concepts.

  • Straight-line graphs 11 concepts

    1. Find the equation of a line from two points using a CAS calculator

    2. Construct a linear graph and generate a table of values using a CAS calculator

    3. Finding the x - intercept at y=0

    4. Find the equation of a line given the gradient and the y-intercept

    5. Find the gradient of a line between two points using formulae

    6. Reading the x and y intercept from a graph

    7. Sketch a linear relationship from a table of values on a cartesian plane

    8. Determine the gradient and y-intercept using the gradient-intercept form of a linear relationship

    9. Use the gradient and y-intercept to graph a linear equation

    10. Find the gradient of a line between two points using rise over run

    11. Finding the y - intercept at x=0

  • Linear Modelling 3 concepts

    1. Interpret linear models

    2. Construct a linear model

    3. Establish meaning for the gradient and intercepts in a practical context

  • Line of Best Fit 4 concepts

    1. Interpolation and Extrapolation

    2. Use a line of best fit to make predictions of data sets

    3. Find the equation of a line of best fit

    4. Draw a line of best fit on a scatterplot

  • Piecewise linear graphs 2 concepts

    1. Sketch a piecewise linear graph

    2. Use a piecewise linear function to model and solve practical situations

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 Linear graphs and models


  • 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?

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Starting at

$49(inc. GST)

per session

Fully flexible

PAYG and bundle plans

Use anytime

Access to practice questions

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