Standard X: Geogebra Practical 12: Alternate Method of obtaining Frequency Polygon

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ICT Standard IX

ICT Standard X

Geogebra Practical 12: Alternate Method of obtaining Frequency Polygon The Percentage of Literate males between the ages of 15 to 45 in a colony is given in the table below.

Class	15-20	20-25	25-30	30-35	35-40	40-45
Percentage	42	38	35	26	16	5

Draw a Histogram and Frequency Polygon.

The first five steps given below are the same as the ones given in the first method for doing this practical. 1. Open Geogebra. From the ‘Options’ Menu click ‘Advanced.’ See Figure 1 below. Select ‘Preferences -- Graphic’.

Figure 1.

2. Click on x-axis Tab and click on Label. Enter 'Age' as label. See Figure 2 below.

Figure 2.

3. Click on Y-axis Tab and click on Label. Enter ‘Percentage’ as label. See Figure 3 below.

Figure 3.

4. Click on Grid tab. Select show Grid. Enter grid distance as ‘2.5’ for x-Axis. See Figure 4 below.

Figure 4.

5. In the Input Box at the bottom of the Screen type, histogram[{15,20,25,30,35,40,45}, {42,38,35,26,16,5}] and press Enter. The required Histogram will be displayed. Use the Mouse Scroll button and the Move Graphics View Tool from Tool 11 to position the graphics area properly, as shown in figure 5 below.

Figure 5.

6. In the command box at the bottom of the Geogebra window type FrequencyPolygon[{15,20,25,30,35,40,45}, {42,38,35,26,16,5}]. The Frequency Polygon along with the Histogram will be displayed.

Figure 6.

Save or Print your file as required.

Some other examples of commands that can be run from the Input Command Box are given here.

George Ferrao

Turning Dreams into Reality

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ICT Standard IX

ICT Standard X

Turning Dreams into Reality Dare to Dream. This is the Theme for the year in St. Louis School. Just because we dream of something does not mean that it will come true. But unless we dream of great things we will definitely not achieve them. So we encourage all students to dream, and then work hard to achieve their dreams. What happens however, when a student is faced with great difficulties, maybe physical, maybe financial? Does such a child still dare to dream? Or do we simply ask such a child to give up his hopes, his dreams, his goals and aspirations?

Shivam Sai Gupta

Meet Shivam Sai Gupta. Born in Patna, Bihar, in 1995, Shivam suffered from a congenital disorder called “Klippel Trenaunay Syndrome”. In desperation Shivam’s father, Mr. Dinesh Kumar Gupta, visited hundreds of doctors, but to no avail. This rare disorder which affects only about 1 in 100,000 people has no cure. Klippel Trenaunay Syndrome affects the development of the blood and lymph vessels, soft tissues and bones. In fact Shivam had one leg longer than the other. While his friends were participating in sports and games, Shivam had difficulty walking.

In order to study more about this disease, and understand its effects on his child, Mr. Dinesh Gupta purchased a computer. Shivam, who was 8 at that time, began to use the computer and the programs in it like PowerPoint and Corel R.A.V.E to develop games. Battling problems like frequent power failures, a slow Internet connection, financial difficulties and constant pain due to his physical condition, he also taught himself 3D Animation and began developing Visual Effects for movies and games.

On 26/11/2008, Mumbai came under a violent and horrific terrorist attack. Shivam, like the rest of us, watched on the television as the tragedy unfolded before his eyes. Feeling frustrated and angry, Shivam decided to do something. As a tribute to the many people who lost their lives in this terror attack, Shivam developed a video game “Terror Attack, Project Fateh”. He hopes that this game will encourage more young people to join the Armed Forces and help combat terrorism. He thus became the youngest Indian game developer.

Video game: Terror Attack, Project Fateh

Shivam at the INK Conference 2010

This feat was widely recognized by the gaming Industry worldwide. He was honored at Nasscom’s Gaming And Animation Conclave and the INK (Innovation and Knowledge) conference. Terror Attack, Project Fateh was a winner at Intel’s LevelUp Contest 2010.

When he was 14 an event occurred in his life which Shivam considers to be nothing short of miraculous. After a visit to Shirdi, he noticed that his physical problems began to reduce. None of his doctors could believe it until they saw the X-Rays which showed that Shivam’s legs were now of the same length. The other symptoms too disappeared, which the doctors could not explain. Shivam though was happy and continued to go on about his studies and work. He learned three Computer languages and developed many more games; including one which tackles the issue of Child Obesity. He has even written a self-help book on coping with eating disorders. He is now developing a 3-D printer. Today, Shivam is a Software programmer, Visual Effects designer, Games Developer, Film maker and Website designer. He loves Public Speaking, and has addressed several press conferences. Shivam has been featured in many newspapers articles and on many Television Channels. He has met and interacted with Business leaders and celebrities around the world.

Shivam in Hollywood

With Tina Fey Emmy Award Winner

More information about this amazing prodigy can be found on Wikipedia, Twitter, Facebook, YouTube and many sites on the Web. "There are some people who live in a dream world, and there are some who face reality; and then there are those who turn one into the other." ---Douglas Everett This quotation from Shivam’s blog illustrates very nicely his never-give-up attitude. Shivam dislikes a negative attitude and making excuses. So the answer to the question is an emphatic no. We should not stop dreaming. No matter what hardships and hurdles you face, never give up your dreams. Each obstacle that comes your way simply means that you have to work harder to achieve your dreams

Oh, by the way, Shivam is also a student. He is in XI Standard, studying Science in St. Xavier’s College, Mumbai.

Shivam, with his friends at Malhar

George Ferrao

Geogebra. Standard X ICT

Articles

ICT Standard IX

ICT Standard X

Information and Communication Technology 

Geogebra.

Click on the links below for information about specific Topics

Q.1 Plot the points A(4,-3) and B(-2, 5), join them and find the equation of the line. Write all the steps.

Q.2 Give names of the different parts of the Geogebra screen.

Q.3 What would you use to type the equation for drawing a Graph in Geogebra?

Geogebra: Equation of a line.

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ICT Standard IX

ICT Standard X

Geogebra Plot the points A(4, -3) and B (-2, 5). Join them and find the equation of the line passing through these points.

1. Open Geogebra. Make sure that the Co-ordinate Axes and the Grid is displayed. 2. Click on Tool No 2, and Select ‘New Point Tool’.

Figure 1

3. Click on the point (4, -3). A new point A will be plotted as shown.

Figure 2

4. Click on the point (-2, 5). A new point B will be plotted as shown.	Figure 3
5. Click on Tool No 3 and select ‘Line between 2 points Tool’.	Figure 4
6. Click on point A followed by point B. A line will be drawn through points A and B and the equation of this line will be displayed in the Algebra section of the display. 7. Save your file or print it if required.	Figure 5

George Ferrao

Geogebra Window

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ICT Standard IX

ICT Standard X

Geogebra 2) Give names of different parts of the Geogebra screen OR Describe the Geogebra Window.

The parts of the Geogebra Window are as follows. Title Bar: The title bar runs across the top of the Geogebra Window. It displays the name of the file being worked upon. Menu Bar: It is located just below the Title Bar. All commands and sub Commands can be accessed from here. Its main commands are File, Edit, View, Options, Tools, Window and Help. Tool Bar: Just below the menu bar of the Geogebra Window comes the Tool Bar. 11 Main Tools are available in the Tool Bar. Clicking on the small down arrow at the right hand bottom of the tool will display several options, and thus many more tools can be selected. Algebra View: The Algebra view is displayed on the left pane of the Geogebra Window. It gives the algebraic representation of objects created in the Graphics View or by inputting commands typed in the Input Bar. Graphics View: This is the main part of the Geogebra Window. Using the graphics view we can construct and display points, angles, lines, segments, circles and other geometrical figures. The X and Y axes and also a grid can be displayed. Input Bar: The Input Bar runs across the bottom of the Geogebra Window. Algebraic Inputs such as co-ordinates of points, equations of lines, angles as well as many commands can be entered directly into the Input Bar. On the right hand side of the Input Bar is the Command Button. Clicking on the Command Button will display all the commands that can be entered in the Input Bar and also their syntax.

George Ferrao

Using the Input Box in Geogebra

Articles

ICT Standard IX

ICT Standard X

Using the Input Box in Geogebra 3) What would you use to type the equation for drawing a graph in Geogebra? OR What is the use of the Input Box in Geogebra?

Using the input box at the bottom of the Geogebra Screen we can enter different objects on the Graphics area of the Geogebra Window. Points, lines, circles, segments, midpoints of segments, Polygons etc., can be easily drawn in the Geogebra Window. The usual operators used in Computers are still applicable. ‘+’ for Addition, ‘-‘ for Subtraction ‘*’ for multiplication and ‘/' for division ‘^’ for exponentiation. Multiplication can also be done by the following methods. E.g., 2*x is same as 2x and is same as 2 x. The Algebraic representation of the Command will be displayed in the Algebra Section. Examples of Commands (Give any two examples for a two mark Question)

Command	Use of the command	Output
A=(3,4)	Plots a point A (3,4) on the Graph
Segment[A, B]	Draws a segment between points A and B. The Points A and B must be previously defined.
Line[A, B]	Draws a line passing through the points A and B. The equation of the line will be displayed in the Algebra section.
Circle[(2,3), 2]	Draws a circle with center at point (2,3) and Radius 2 Displays the equation of the circle as c: (x - 2)² + (y - 3)² = 4
Circle[A, AB]	Draws a Circle with center at the point A and with Radius equal to length of Segment AB. The equation is displayed in the Algebra Section
Circle[C, AB]	Draws a Circle with center at the point C and with Radius equal to Segment AB. The equation is displayed in the Algebra Section.
Circle[A, B]	Draws a Circle with Center at A and with a point B on the Circle. (AB is the radius) The equation is displayed in the Algebra Section.
Circle[A, B, C]	Draws a Circle passing through the points A, B and C. The equation of the circle will be displayed in the Algebra Section.
AngleBisector[B,A,C]	Draws a Line Bisecting the angle formed by the three points B, A and C. The equation of the line is displayed in the Algebra Section.
Area[A, B, C]	Finds the area of the Triangle having vertices A, B and C. The answer is displayed in the Algebra Section under Number.
Area[A, B, D, C]	Finds the area of the Rectangle (Polygon) having vertices A, B, D and C. The answer is displayed in the Algebra Section under Number.
Area[c]	Displays the area of the circle (c) in the number Section
Circumference [c]	Displays the circumference of the Circle (c) under Number Section.
Incircle[A, B, C]	Draws the Incircle of the triangle having vertices A, B and C.
Midpoint [A, C]	Displays the midpoint between the points A and C.

George Ferrao