• Mathematics General
• Year 11

# Linear graphs and models

approx. 10 hrs

4 topics

20 concepts

Build mastery of modelling linear relations.

Available in
VIC

### Overview

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 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

### Ready to start this program? Simply pick a time that works for you  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