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# FrontPage

last edited by 6 years, 4 months ago

Click the links below to see GeoGebra (mostly) at work:

1. Perpendicular Lines (Classwork)

Use sliders to change slope and y-intercept of two lines and observe what happens

when they are perpendicular or parallel to each other.

2. System_of_Linear_Equations (Classwork)

Solve the equations and check your solution with the answer given by the program.

You can change the equations and solve them for practice.

Use it as a calculator for changing the base of a logarithm.

4. Snowman_Equations (Classwork)

Construct a snowman like the silhouetted image at the background using points, equations of

circle, and line segment in the Input Bar. Once satisfied, decorate it to claim it as your creation.

5. Stopwatch (Classwork)

Construct a stopwatch like the one here. Once satisfied, decorate it to claim it as your creation.

6. Angles_in_Triangle (Classwork)

Change the angles and verify the fact about internal angles of any triangle, that is, right,

obtuse, acute, scalene, equiangular, equilateral, etc.

As the number of panels increases the accuracy gets better. The arithmetic average of

upper sum and lower sum approaches the analytical solution.

Use it as a calculator to convert from radian to degrees and vice versa, arc length, and central

angle.

9. Trignometric_Functions (Classwork)

Using a unit circle, trigonometric functions, such as sine, cosine, tangent, cotangent,

secant, and cosecant can be visualized as lengths instead of ratios as the denominator

becomes the radius of the unit circle.

10. Subtracting_Signed_Numbers (Classwork)

It is fun to watch the subtraction of signed numbers as the result is shown visually as

length against a ruler.

It is fun to watch the subtraction of integers as the result is shown visually as length

against a ruler.

12. MaxAreaGraph

A rectangular area with three sides is to be fenced by barbed wire along the bank of a river.

Can you fence the maximum area if barbed wire of known length is given to you? Visualize

it in a graph.

13. MaxVolGraph

You are to construct an open container from a square sheet metal by cutting out four

squares from its four corners and bending the sides so that the container has the maximum

volume. Visualize it in a graph.

14. MaxVolume-2D

You are to construct an open container from a square sheet metal by cutting out four

squares from its four corners and bending the sides so that the container has the maximum

volume. Visualize the design in 2-D.

15. MaxVolume-3D

You are to construct an open container from a square sheet metal by cutting out four

squares from its four corners and bending the sides so that the container has the maximum

volume. Visualize the design in 3-D.

You are to construct an open container from a square sheet metal by cutting out four

squares from its four corners and bending the sides so that the container has the maximum

volume. Visualize both the design and the graph linked in 3-D.

Have you visually observed the definition of derivative of a function? Here you'll see how

the limit approaches the analytical or exact value as the distance between the two points

on the function gets infinitesimal.

(Classwork)

Type in a function and find its derivative. Also see the graphs of both the function and its

derivative as well as the maximum or the minimum, if exists, of the original function.

19. Animation

Observe the movement of planets in our solar system. The orbits and speeds are not

precise, nevertheless, it is good to watch the animation.

A simple demonstration of incident and reflected angles using the rays from a flashlight.

Move this protractor to measure any angle anywhere and make it smaller or larger

depending on your need.

See how GeoGebra handles 3-D with its 2-D resources!!

A 3-D activity using tools and commands for 2-D!!

Find a wealth of GeoGebra resources through this link.

Visit some high-end math examples.

26. BoxPlotDemo (Demonstration by Linda Fahlberg)

Watch Professor Linda Fahlberg explaining Box and Whisker Plot.

27. BoxPlot (Classwork)

Calculate some statistical parameters related to Box Plot and compare them with the

ones calculated by GeoGebra. Change the table data and see immediate dynamic effect

on the rest of the parameters.

28. Box&WhiskerPlot (Classwork)

Draw Box and Whisker diagram from a given set of data. Label the diagram. Calculate

the statistical parameters. Then change Scores between the limit 0 to 100 and see how

it affects the diagram and the parameters.

29. Histogram (Classwork)

Can you detect the mean, median and mode on the histogram?

30. LineOfBestFit (Classwork)

Edit data in the table, add or delete data and watch the dynamic effect on the line of best

fit and its correlation coefficient with respect to scattered data points.

31. Sketch&Graph

Move the red dot on the surface of the cylinder from the extreme right edge of the cone

base to its center and observe how the volume of the cylinder changes with its radius.

Can you guess what happens to surface area of the cylinder inside the cone when its radius

goes from zero to the cone's radius? Slowly move the red dot from cone's center to its

extreme right edge and observe the graph on its right.

It does addition of fractions. Both the numerator and denominator can be varied from

1 to 25. The final answer is given in its reduced/simplified form.

34. Subtraction of Fractions (Classwork)

It does subtraction of fractions. Both the numerator and denominator can be varied

from 1 to 25. The final answer is given in its reduced/simplified form.

35. Multiplication of Fractions (Classwork)

It does multiplication of fractions. Both the numerator and denominator can be varied

from 1 to 25. The final answer is given in its reduced/simplified form.

(Classwork)

It does division of fractions. Both the numerator and denominator can be varied from 1 to 25.

The extra step of inverting the second input fraction in its improper form while the division is

changed to multiplication is shown. The final answer is given in its reduced/simplified form.

Real world visuals to explain the theory of imagery.

A fun way to learn the application of Pythagorean theorem.

40. Circle (Calculation of pi) (Classwork)

Note circumference and diameter of the circle on the worksheet. Then calculate their ratio,

that is, divide the circumference by diameter and write the result on the proper column of

the worksheet. Now, drag Point A to enlarge or reduce the size of the circle. Then repeat

the earlier procedure to fill out the entire worksheet.

(Classwork)

Use this worksheet to practice finding the Volume and Surface Area of a Rectangular Prism.

Adjust the height, length, and width using the labeled sliders.

42. TriangularPrism (Classwork)

Use this worksheet to practice finding the Volume and Surface Area of a Triangular Prism.

Adjust the height, length, and width using the labeled sliders.

43. Cone (Classwork)

Use this worksheet to practice finding the Volume and Surface area of a Circular Cone. Adjust

the height and radius using the labeled sliders.

44. Cylinder (Classwork)

Use this worksheet to practice finding the Volume and Surface area of a Circular Cylinder.

45. RectangularPyramid (Classwork)

Use this worksheet to practice finding the Volume and Surface area of a Rectangular Pyramid.

Adjust the height, length, and width using the labeled sliders.

46. TriangularPyramid (Classwork)

Use this worksheet to practice finding the Volume of a Triangular Pyramid. Adjust the height,

length, and width using the labeled sliders.

47. Sphere (Classwork)

Use this worksheet to practice finding the Volume and Surface Area of a Sphere. Adjust the

Use this worksheet to solve quadratic equations having real roots.

49. RandomPointGenerator (Classwork)

This generates a random point that can be plotted on the axes by the user and check

if it is correct.

50. LinearRegression (Classwork)

This allows plotting points and finding the Line of Best Fit (Regression Function).

51. Sequences&Series (Classwork)

This allows viewing both arithmetic and geometric sequences graphically for better

understanding of their individual behavior.

52. Simple&CompoundInterests (Demonstration):

This demonstrates the procedures to calculate both simple and compound interests on

a principal amount when the time and interest rates are given.

53.  SimpleCompoundInterest Classwork)

This calculates simple, compound, and continuous interests on a principal amount

when  interest rate, number of times the amount is compounded per year and number

of years of investment are given. It also calculates APR - Annual Percentage Rate when

APY - Annual Percentage Yield is typed in and vice versa.

54. Laws of Exponents (Classwork)

Explore the Laws of Exponents as a paleontologist in the study of dinosaurs.

55. GraphingAbsFunction (Classwork)

See how an absolute function looks like. You can change the function parameters by

56. AbsValueInequalityNumberLine (Classwork)

Use the sliders on the left to set the values for the coefficients a, b and c of the absolute

value equation. The slider on the right allows to change the type of inequality. The solution

is graphed on the number line.

57. AbsoluteValueEquation (Classwork)

Check how equations of absolute value functions look like in graph and understand why the

variable has two values unlike single value in simple (not absolute) functions.

58. ArcLength (Classwork)

Calculate arc length from the angle it makes with the center and the circle radius. Then verify

it by this program.

59.UnitConversion(Classwork):

Use this visual aid to practice converting units in different dimensional categories such

as length (L): area (L^2), volume (L^3)], time (T), and mass (M) within the same unit system

or from one system of unit to another.

60. Algebra_BalanceScales (Simple) (Classwork):

Solve linear algebraic equations by using a balance beam.

Solve linear algebraic equations by using a balance beam.

62. LikeTerms (Classwork):

Simplify an algebraic expression by combining the like terms (identical base and exponent/power).

Visual illustration of divisor pairs expressed only in prime numbers

64. FOIL (Classwork):

Simplify algebraic expressions in factor forms by First Outside Inside Last method.

65. VolumeTest (Brain Teaser):

Try your hand at the classic Piagetian conservation of volume test. You have to predict height

of the liquid you pour from one container to another knowing the cross-sections of both.

66. Tangrams and other Mind Games(Brain Teaser):

Try these games and sharpen your math skills.

Try working these out through games and sharpen your math skills.

68. Fill&Pour (Brain Teaser):

Solve puzzles requiring you to fill and pour containers to a specific final volume.

69.  Polygon&Triangles (Classwork)

Watch how a quadrilateral (4-sided polygon) divides itself into triangles.

70. Polygons&TheirDiagonals (Classwork)

Diagonals can be drawn from one vertex of a polygon and the number of them

is determined by the number of sides of the polygon. The polygon thus can be divided

into number of triangles equal to the number of diagonals plus one.

71. PolygonWorksheet (Classwork)

Students will investigate sum of interior angles of polygons of different number of sides.

Then make a general mathematical conjecture relating them with each other.

72. TrianglesInteriorExteriorAngles (Classwork)

Observe what happens to the sum of interior angles when you change the triangle by

dragging any of its vertices. What does it tell you?

73. SlopeExplained (Classwork)

This applet helps students consolidate their learning after the initial lesson on slope of

a straight line.

74. NewTools (Classwork)

Use the tools at the end of the Tool Bar to draw Line Segment, Parallelogram, Square,

Trapezoid, and the Altitude - the measured distance from a point to a straight line or a

segment. Use Altitude tool to calculate areas of various shapes.

#### Prabir K. Chandra said

at 10:06 am on Jul 2, 2009

Send your feedback. I'll appreciate it.

#### Gopesh said

at 10:03 pm on Aug 1, 2009

Cool demos. I will have to learn to create them. I should be able to do most of them using GSP but I won't be able to have graph and picture on the same page using the same slider for both creating both the graph and picture to change using split page. Thats great. More when I start creating my own pages. Yes weblishing aspect is awesome and really exciting.
Thanks for sharing.

#### Reni Biswas said

at 4:44 pm on Aug 2, 2009

Awesome stuff mesho! Love Reni.

#### ddouglas@... said

at 10:52 am on Aug 21, 2009

Prabir-
Everything looks terrific-- the applications work well, the FAQ section answered all my questions (particularly in regard to Geometer's Sketchpad), and your agenda for the Menu Day is thorough and useful.
Nice work!
Damon

#### sean greene said

at 8:08 am on Apr 9, 2010

hey prabir it's me sean G im in class an im back in my school

#### LFS said

at 3:34 pm on Oct 11, 2010

hiya prabir - see you are still creating great applets. Just referred to one in something I am working on. linda