Home/ Mathematics/ Year 8/ Unit 2

Unit 2: Linear Relationships

Explore the coordinate plane, gradient, equations of lines, and solve simultaneous equations. Build the foundations for algebra and graphing.

20 Lessons 3 Checkpoints 1 Unit Quiz

Coordinates and Patterns

Lessons 1-7
1
The Cartesian Plane
x-axis, y-axis, origin, and quadrants.
2
Plotting Points and Reading Coordinates
How to plot and read (x, y) pairs.
3
Number Patterns and Rules
Finding the rule that describes a sequence.
4
Tables of Values
Creating tables from a rule to prepare for graphing.
5
Plotting Points from a Rule
Using tables to plot points and see straight lines.
6
Recognising Linear Relationships
Identifying linear vs non-linear from tables, rules, and graphs.
7
Understanding Gradient
Gradient as steepness and direction.
Checkpoint 1
CP1
Checkpoint 1
Lessons 1-7 — 8 multiple choice questions.

Gradient and Equations

Lessons 8-14
8
Gradient from a Graph
Reading rise and run from a graph.
9
Gradient from Two Points
Using the gradient formula with coordinates.
10
Positive, Negative, Zero and Undefined Gradient
What different gradient values mean.
11
The y-Intercept
Where a line crosses the y-axis.
12
Equation of a Line: y = mx + c
The slope-intercept form.
13
Finding the Equation from a Graph
Using gradient and y-intercept to write the equation.
14
x- and y-Intercepts from an Equation
Finding axis crossings algebraically.
Checkpoint 2
CP2
Checkpoint 2
Lessons 8-14 — 8 multiple choice questions.

Advanced Topics

Lessons 15-20
15
Horizontal and Vertical Lines
Special cases with simple equations.
16
Parallel Lines
Lines that never meet and their gradients.
17
Simultaneous Equations — Graphical Method
Finding the intersection point.
18
Simultaneous Equations — Substitution
Replacing one variable with an expression.
19
Simultaneous Equations — Elimination
Adding or subtracting equations.
20
Linear Relationships in Context
Real-world applications and unit summary.
Checkpoint 3
CP3
Checkpoint 3
Lessons 15-20 — 8 multiple choice questions.
Unit Quiz
QZ
Unit 2 Quiz
All 20 lessons — 15 multiple choice + 5 short answer questions.
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