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.
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.
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.
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.
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.
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.
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.
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.
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.
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.