Math12: 1.1 Relations | Dynamo EdTech

A relation between two sets is a collection of ordered pairs containing one object from each set.

If the object x is from the first set and the object y is from the second set, then the objects are said to be related if the ordered pair (x,y) is in the relation.

A function is a type of relation.
Relations can be represented as ordered pairs, tables, or mappings.
A relation is a relationship between sets of values.
In math, the relation is between the x-values and y-values of ordered pairs.
The set of all x-values is called the domain, and the set of all y-values is called the range.

A pattern is a regularity in the world in human-made design or in abstract ideas. As such, the elements of a pattern repeat in a predictable manner.

Patterns are defined as regular, repeated, recurring forms or designs identifying relationships, finding logic to form generalizations and make predictions.

Even numbers pattern: 2, 4, 6, 8 …

Odd numbers pattern: 1, 3, 5, 7, 9 …

The arithmetic pattern is also known as the algebraic pattern.

In an arithmetic pattern,the sequences are based on the addition or subtraction of the terms. If two or more terms in the sequence are given, we can use addition or subtraction to find the arithmetic pattern.

consider the pattern 2, 4, 6, 8, 10, __, 14, __.

Now, we need to find the missing term in the pattern.

The geometric pattern is defined as the sequence of numbers that are based on the multiplication and division operation. Similar to the arithmetic pattern, if two or more numbers in the sequence are provided, we can easily find the unknown terms in the pattern using multiplication and division operation.

consider the pattern 2, 4, 8, __, 32, __

Any set of ordered pairs (x ,y) is called a relation in x and y. The set of first components in the ordered pairs is called the domain of the relation. The set of second components in the ordered pairs is called the range of the relation.