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

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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.

3. Change_of_Base_in_Logarithm

       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.

7. UpperSum&LowerSum

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

        upper sum and lower sum approaches the analytical solution.

8. Degree_Radian_Arc

        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.

11. Addition&Subtraction of Integers (Classwork)

        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.

16. MaxVol-3D&Graph

       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.

17.  Derivative_of_a_Function 

       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.

18. Function & its Derivative (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.

20. Incident&Reflected_Angles

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

21. Movable_Protractor

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

       depending on your need.

22. Movable_3D-Prism

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

23. GeoGebra_in_3D

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

24. LineGraphs&More

       Find a wealth of GeoGebra resources through this link.

25. MathConstructions

       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.

32. Unexpected_Discoveries

       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.

33. Addition of Fractions (Classwork)

        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.

36. Division of Fractions (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.

38. Math&RealWorld

        Real world visuals to explain the theory of imagery.

39. PythagoreanLadder (Classwork)

        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.

41. RectangularPrism (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.

        Adjust the height and radius using the labeled sliders.

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

        radius using the labeled slider.

48  QuadraticEquation (Classwork)

       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

      adjusting the sliders.

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.

61. Algebra_BalanceScales (Advanced) (Classwork):

    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).

63. FactoringByPrimeNumbers (Classwork):

       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.

67.Algebra and other Games:

       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.