Coordinates
Locate and describe points on a coordinate plane.
O LEVEL MATHEMATICS
Graphs
Learn how coordinates, lines and curves represent mathematical relationships and help us see how quantities change.
What Will You Learn?
Build your understanding one clear idea at a time.
Straight-Line Graphs
Plot and interpret linear relationships.
Gradient
Understand steepness and rate of change.
Intercepts
Identify where graphs cross the axes.
Curved Graphs
Recognise and interpret non-linear relationships.
Graph Interpretation
Read information and solve problems from graphs.
Why Does This Topic Matter?
Graphs turn relationships into something we can read and compare.
Temperature and growth can be tracked over time.
Distance-time graphs describe motion and speed.
Costs, income and trends become easier to compare visually.
Patterns and changes become clearer when they are drawn.
CENTRAL IDEA
A graph is a picture of a relationship.
Graphs show how one quantity changes as another changes, making patterns and trends visible.
Check the scale and axis labels before reading or drawing a graph.
YOUR LEARNING JOURNEY
Work Through the Lessons Step by Step
Each lesson builds on the ideas introduced before it.
01Available
The Cartesian Plane
Understand axes, the origin and the four quadrants.
Open Lesson β02Available
Reading and Plotting Coordinates
Read and plot points accurately in all four quadrants.
Open Lesson β03Available
Scales and Accurate Plotting
Choose sensible scales and label axes correctly.
Open Lesson β04Available
DistanceβTime Graphs
Interpret journeys, stops and speed from a graph.
Open Lesson β05Available
Tables of Values and Linear Graphs
Generate coordinates and draw straight-line graphs.
Open Lesson β06Available
Functional Notation
Understand f(x), evaluate functions and connect them to graphs.
Open Lesson β07Available
Gradient and Intercepts
Understand steepness, rate of change and axis crossings.
Open Lesson β08Available
Quadratic Graphs
Draw parabolas and read roots and turning points.
Open Lesson β09Available
SpeedβTime Graphs
Use gradient for acceleration and area for distance.
Open Lesson β10Available
Cubic and Inverse Graphs
Recognise advanced shapes and solve graphically.
Open Lesson β11Available
Displacement and VelocityβTime Graphs
Interpret direction, signed area and changing motion.
Open Lesson β12Review
Mixed Review
Choose the correct graph method independently.
Open Lesson β13Checkpoint
Final Checkpoint
Review the complete topic with exam-style questions.
Open Lesson βTHE STUDYNEST METHOD
How We Will Approach Graphs
Understand the idea before applying the procedure.
Read
Check the axes, scale and labels.
Plot
Place each point carefully.
Connect
Draw the appropriate line or curve.
Interpret
Explain what the graph shows.
Let the Graph Tell the Story
A graph becomes easier to understand when you read the axes before looking at the line.
Check the scale and axis labels before reading or drawing a graph.
YOUR PROGRESS
Graphs Journey
Begin with Lesson 1 and build your understanding step by step.
Graphs Progress0%
Begin Lesson 1 β