• Year 10

# Linear Relationships

approx. 9 hrs

6 topics

21 concepts

Develop an aptitude for Linear Relationships and advance into Year 11 with confidence.

Available in
ACT NSW NT QLD SA TAS VIC WA

### Overview

Linear Relationships is a key component of Year 10 Mathematics Advanced and is aligned with the Australian curriculum. In this program, students learn to graph solutions and equations on a number plane, use algebraic and graphical techniques and explore the connection between graphical and algebraic representations.

### Topics & Concepts We Cover

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

• #### Midpoint, Gradient and Distance using Formulae 4 concepts

1. Using the Distance formula

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

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

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

• #### Read Linear Graphs 3 concepts

1. Determine the gradient and y-intercept from a graph

2. Reading the x and y intercept from a graph

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

• #### Sketch Linear Functions 6 concepts

1. Match a linear graph with its equation

2. Sketch a linear graph using the coordinates of two points i.e. x and y-intercepts if possible

3. Form of a vertical line including the equation of the y-axis

4. Form of a horizontal line including the equation of the x-axis

5. Determine whether a point lies on a line by substitution

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

• #### Equation of a line 4 concepts

1. Convert between general form and gradient-intercept form of a linear equation

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

3. Find the equation of a line given two points

4. 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

• #### Coordinate Geometry Problems 2 concepts

1. Use coordinate geometry to solve a variety of problems with triangles and quadrilaterals

2. Show that three given points are collinear

### 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 Relationships 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