• Mathematics Extension 1
• Year 11

# Linear Functions

approx. 9 hrs

8 topics

21 concepts

Build mastery in Linear Functions and advance into Year 12 with confidence.

Available in
NSW

### Overview

We help students understand how to apply algebra to coordinate geometry and solve increasingly complex problems. This program is aligned with the NSW Mathematics syllabus.

### Topics & Concepts We Cover

This learning program is made up of the following 8 topics, broken down into 21 concepts.

• #### Distance and Perpendicular Distance 2 concepts

1. Find the shortest distance from a point to a line using the Perpendicular Distance formula

2. Using the Distance formula

• #### Midpoint and Division of an Interval 3 concepts

1. External division of an interval

2. Internal division of an interval

3. Find the midpoint of an interval using the Midpoint formula

• #### Gradient of an Interval 3 concepts

1. Use the angle of inclination to find the gradient of a linear function

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

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

• #### Equation of a line 3 concepts

1. Two-intercept form

2. Find the equation of a line given two points

3. Finding the equation of a line given a point and the gradient

• #### Parallel and Perpendicular lines 2 concepts

1. Apply the property that perpendicular lines have gradients that are negative reciprocals of each other

2. Apply the property that parallel lines have equal gradients

• #### Points of Intersection 5 concepts

1. Equation of a line through the intersection of 2 other lines

2. Solve linear simultaneous equations by finding the point of intersection of their graphs

3. Solve linear simultaneous equations using elimination method where one or both of the equations need to be modified

4. Solve linear simultaneous equations using substitution method

5. Solve linear simultaneous equations using elimination method

• #### Regions determined by lines 2 concepts

1. Solve a linear inequation using graphs

2. Sketch a region defined by a linear inequality

• #### Angle between two lines 1 concept

1. Find the angle between two lines

### 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 Functions 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