The document discusses textile mathematics and different types of graphs used in textiles and the textile industry. It provides examples of linear graphs, pictographs, line graphs, bar graphs, and pie charts. It also defines what a graph is and discusses coordinates of graphs. Key types of relationships that can be displayed graphically include linear, periodic, exponential, and power functions.

2. TEXTILE MATHS:
 The mathematics which we studied in textile is known as
textile mathematics.
 The ideas have been used as inspiration for a number of fiber
arts including quilting, knitting, cross-stitch, crocheting,
embroidery and weaving and spinning. A wide range of
mathematical concepts have been used as inspiration
including graph theory, number theory and algebra.
 Some techniques such as counted-thread embroidery are
naturally geometrical other kinds of textile provide a ready
means for the colorful physical expression of mathematical
concepts.
 In textile, spinning, weaving, knitting, embroidery and fashion
designing is done with the help of textile mathematics.

3.  In textile industry, graphs and pie charts are used to
compare the production rate of fabric year by year.

4. TYPES OF GRAPH:
Linear graph
 Linear functions have variables to the first degree and have two constants that
determine the location of the graph. These functions always graph into a line.
The constant m determines whether the line slopes down or up. If it is positive,
the line will slope up and if it is negative, then the line will slope down.
 Pictograph:
A pictograph is a graph that uses pictures or symbols to display
information.
The pictures in a pictograph usually represent more than one item.

5. Line graph:
 Comparing various sets of data can be complicated, but line
graphs make it easy. The plotted peaks and dips on the grid allow you
to monitor and compare improvement and decline. Line graphs are
most often used by scientists, professionals and students.
Bar graph:
 Pleasing to the eyes, bar graphs compare data in a simple format
consisting of rectangular bars. With a few varieties to choose from,
settling on the right bar graph might be confusing.
Pie chart:
 Simple to make and simple to understand, a pie chart is a popular form
of data comparison, consisting of a circle that is split into parts.

6. Line graph
Bar graph
Pie chart
Pictograph

7. WHAT IS GRAPH?
 A diagram that exhibits a relationship, often functional, between two sets o
f numbers as a set of points having coordinates determined by the
relationship. Also called plot.
 A pictorial device, such as a pie chart or bar graph, used to illustrate
quantitative relationships. Also called chart.
 Two-dimensional drawing showing a relationship (usually between two set
of numbers) by means of a line, curve, a series of bars, or other symbols.
Typically, an independent variable is represented on the horizontal line (X-
axis) and an dependent variable on the vertical line (Y-axis).
 The perpendicular axis intersect at a point called origin, and are calibrated
in the units of the quantities represented. Though a graph usually has four
quadrants representing the positive and negative values of the variables.
A graph is a visual way to display information.

8. CO-ORDINATES OF GRAPH:
 The graph of an equation the collection of points (a,b) on the xy-plane such
that (a,b) is a solution to the equation.
 Just as we draw a number line to represent real numbers, we can also
represent ordered pairs. We call the plane that the two number lines
lie in the xy-plane. We call the horizontal line the x-axis and the
vertical line the y-axis. We let the right of the x-axis represent
positive x values, while the top of the y-axis represents
positive y values. The intersection point is where x = 0 and y = 0 is
called the origin.
 The top right part of the plane is called Quadrant I.
 The top left part of the plane is called Quadrant II.
 The bottom left part of the plane is called Quadrant III.
 The bottom right part of the plane is called Quadrant IV. To represent
an ordered pair (x,y) on the xy-plane.

9. Sales
1st Qtr
2nd Qtr
3rd Qtr
4th Qtr

10. Simple Graphs: Lines, Periodic Functions, and More
The Line:
 The simplest kind of graphs you will encounter are those in which the relationship
between two variables is linear. Linear relationship simply means that the values are
related in a way such that if one variable is changed by a certain amount the other
variable also changes by a constant proportional amount. We can symbolically write this
as:
 (Change in Variable 1) = Constant × (Change in Variable 2)When variables that related in
this way are plotted on an XY grid - as discussed in the previous section - the graph turns
out to be a straight line. The constant value that relates the changes and makes them
proportional is the slope of the line in the graph.
Periodic Functions:
 There are many situations in nature in which some quantity will change periodically with
time; an example is the brightness of a variable star that was shown in the plots in the
previous section.

11. Exponential/Power Functions:
 Finally, you should also expect to encounter exponential and power
relationships (in the sense of algebraic powers). These relationships are
also extremely common in nature. Again you will notice in such cases
two physical variables whose mathematical relation can be written as:
y = x a
 There is a special type of power function which is very common in
nature. There are many processes that show exponential changes.
These types of changes are described by exponential functions an are
written as:
y = ex

13. 0
0.5
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Category 1 Category 2 Category 3 Category 4
Series 1
Series 2
Series 3