GRADE 9: QUARTER 1

NUMBER AND ALGEBRA

CONTENT STANDARDS:

1. simple geometric concepts and notations.

2. perpendicular and parallel lines, and angles formed by parallel lines cut by a transversal.

WAYS TO REPRESENT RELATION

Functions and relations can be represented in several ways to help visualize and understand how input values are connected to output values. Here are the common ways to represent functions and relations:

ORDERED PAIRS

A relation can be represented as a set of ordered pairs, where each pair consists of an input and its corresponding output.

table of values

A table of values is one of the easiest and most organized ways to represent a relation. It displays input values (usually called x or the domain) and their corresponding output values (y or the range) in two columns.

MAPPING DIAGRAM

A mapping diagram is a simple way to show how each input (called the domain) is connected to an output (called the range) using arrows. Inputs are listed in one column and outputs in another, with arrows drawn from each input to its corresponding output. This helps visualize the relation clearly and makes it easy to see whether it’s a function—if each input has only one arrow pointing to one output, then it is a function.

GRAPHICAL

A graph represents a relation by plotting ordered pairs (x,y)(x, y)(x,y) on the Cartesian plane. Each point on the graph shows how an input (x) is paired with an output (y). This visual representation helps identify patterns, trends, and whether the relation is a function—if any vertical line crosses more than one point, the relation is not a function (this is called the Vertical Line Test).

The domain is the set of all x or input values. We may describe it as the collection of the first values in the ordered pairs.
The range is the set of all or output values. We may describe it as the collection of the second values in the ordered pairs

So then in the relation below

our domain and range are as follows:

For a visual explanation and additional information, you might find this video helpful:

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