Linear Relationships
Graphing straight lines, gradient, gradient-intercept form, midpoint and length, and linear modelling.
Active lessons
8
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
8 of 8 active
Lesson 1
Introducing Linear Relationships
Recognise linear relationships from tables and equations, and find values from a rule.
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
Linear Modelling
Model real situations with y = mx + c and interpret the gradient and intercept.
Part of the Online Learning Package
Unit previews stay public, while individual lessons require active online learning access.