Linear Relationships
Graphing straight lines, gradient, gradient-intercept form, midpoint and length, and linear modelling.
Active lessons
10
Status
Active
Lesson flow
Learn -> Guided Practice -> Independent Practice -> Mastery Quiz
How to use this unit
- Start from lesson 1 and move through the pathway in order.
- Use guided practice before attempting independent practice.
- Mastery quizzes check whether the skill is ready for review or extension.
Unit pathway
Lesson pathway
10 of 10 active
Lesson 1
Graphing Straight Lines Using Intercepts
Find the x- and y-intercepts of a line and use them to sketch it.
Lesson 2
Lines with One Intercept
Recognise and describe horizontal lines (y = c) and vertical lines (x = c).
Lesson 3
Gradient
Find the gradient of a line as rise over run and interpret its sign.
Lesson 4
Gradient and Direct Proportion
Connect direct proportion y = kx with gradient through the origin.
Lesson 5
Gradient-Intercept Form
Read the gradient and y-intercept from the form y = mx + c.
Lesson 6
Finding the Equation of a Line Using y = mx + c
Find the equation of a line from a gradient and a point, or from two points.
Lesson 7
Midpoint and Length of a Line Segment from Diagrams
Find the midpoint and the length of a line segment from coordinates.
Lesson 8
Perpendicular Lines and Parallel Lines
Use gradients to identify parallel and perpendicular lines.
Lesson 9
Linear Modelling
Model real situations with y = mx + c and interpret the gradient and intercept.
Lesson 10
Graphical Solutions to Simultaneous Equations
Solve simultaneous equations graphically as the intersection point of the lines.
Part of the Online Learning Package
Unit previews stay public, while individual lessons require active online learning access.