Introduction
Chapter Name : Relations And Functions |
Sub Topic Code : 104_12_01_01_01 |
Topic Name : Introduction |
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Sub Topic Name : Introduction |
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Introduction
In the real life we see a lot of patterns everywhere and mathematics has also got its pattern, which are called relations. In this topic we will see how links between two elements lead to a relation. Special types of relations are knows as functions.
Pre-Requisites:
Sets, their representation and its types, Cartesian products
Activity:
• On a graph sheet draw X, Y- axis and the origin. • Plot (1, 1) and (8, 8) and join them. • Mark any 10 points on the X-axis and join them to the drawn line such the lines are parallel to Y- axis. • Find the co-ordinate of the intersection points and find the relation between the x and y coordinates.
Real Life Question:
How does the temperature vary on Celsius and Fahrenheit scale?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Relation | Set of ordered pairs. |
| Function | Special type of relation that gives exactly one output for an input. |
| Ordered Pair | A pair of element grouped together in a particular order. |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Graph sheet | For plotting an equation. |
| Scale | For drawing lines |
Real life uses :
Relations are mainly used to study patterns. Using function we can find how a particular quantity is varying with respect to another one?
Places to visit :
Stairs (height of each stair is more than the previous one as you move upward)
Practical examples around us
| Examples | Explainations |
|---|---|
| Patterns on the tiles | These patterns also sow a relationship among them that they are equal. |
What you learn in Theory:
What is an ordered pair? What is a relation? What is a function? Difference between them.
What you learn in Practice:
Wherever there is a pattern there is a relationship.