Mastering Graphing Relations in Math
Mastering Graphing Relations in Math
What do you already know about graphing relations?
Learning Objective
At the end of the lesson you will be able to create tables and graphs from relations, understand when to connect data points, and explain key features of graphs.
What is a Relation?
A relation is a rule that links values of one variable (x) to another (y). In math, we often use equations and tables to describe relations.
Continuous vs Discrete Data
Values can be any number in the range. Connect the dots on the graph. Example: Time passed during an event.
Values are specific, usually whole numbers. Do NOT connect the dots. Example: Number of shirts sold.
Discrete Data
Continuous Data
Creating a Table of Values
Choose x values, calculate matching y values using the equation. Organise the pairs in a table before plotting on a graph.
Graphing Relations
Plot each (x, y) pair as a point. For continuous data, connect points to form a line. For discrete data, leave points unconnected.
The Cartesian Plane
Understand where the line crosses the y-axis (the y-intercept), slope, and quadrant locations.
Axes & Quadrants
The x-axis (horizontal) and y-axis (vertical) create four quadrants. The point (0,0) is called the origin.
Features to Know
Applying Graphing to Word Problems
Let’s Reflect!
How can graphing help you better understand real-world situations? When would you use discrete vs continuous in daily life?
Write down 3 things you learned in this lesson.
Write down 2 things you want to know more about.
Ask 1 question about something you haven't quite understood yet.