CONSTRUCTING SIMPLE GEOGEBRA PRIM ACTIVITY...CONSTRUCTING SIMPLE GEOGEBRA PRIM ACTIVITY A....
Transcript of CONSTRUCTING SIMPLE GEOGEBRA PRIM ACTIVITY...CONSTRUCTING SIMPLE GEOGEBRA PRIM ACTIVITY A....
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6/24/2011 myfuah.worpress.com
CONSTRUCTING SIMPLE GEOGEBRA PRIM ACTIVITY
A. Coordinate Geometry
Students Worksheet:
1. Open map.html or map.ggb in your computer.
2. You will see Cartoon Village Map. Answer the following questions.
a. Move Doraemon to point (0,0)
b. Move Doraemon 2 units to the right, then 2 units down. Write Doraemon position using
coordinate.
c. Fill this table with the coordinates of every object in map.
Object Coordinate
Doraemon (2,2)
Panda
Dora
House
Police
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Doctor
d. Suppose every line in the map is a road. Find all path between these two objects, and
find the shortest path between:
- Dora and the house
- Dora and Panda
- Doctor and Police
- Doraemon and Panda
e. Move Panda so length of the road between Panda and the doctor is 2 units. Write the
coordinate. Can you find another coordinate?
f. Move Doraemon so the distance between Doraemon and Police is same as the distance
between Doraemon and Doctor. Write the coordinate. Can you find another coordinate.
Key Concepts of GeoGebra:
• Draw points
• Draw line segments
• Insert image
• Publish as web page
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Step by step constructing:
No Step
1.
Open GeoGebraPrim.
2. Insert the images.
Click on the graphics area. Choose image files.
Click to view the grid and axes
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No Step
3. Place images in graphics area.
4. Create path for every object.
Click segment between two points tool , then click two point in graphic area.
You may change line thickness or line colour .
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No Step
5.
Use point tool if you want to create another point .
6. Save your work (File ���� Save As)
7. Now, try to publish your work as web page, so your student can use it without installing
GeoGebra.
Click File ���� Export ���� Dynamic Worksheet as Webpage (html)
Click on Advanced tab.
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No Step
Click Export , then choose where to save the publish file.
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B. Fraction
Students Worksheet:
1. Open fraction.html or fraction.ggb in your computer.
2. Answer the questions:
Mr. Sam wants to cut this piece of pizza. Suppose that circle is Mr. Sam’s pizza. Please help him
to divide the pizza into:
a. 2 parts
b. 3 parts
c. 4 parts
d. 5 parts
e. 6 parts
Hint: Move the point in circle line so you can arrange the pizza slices.
3. Give your conclusion about the activity. How to divide circle into n-part ?
Key Concepts of GeoGebra:
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• Circle
• Angle
• Sector
• Object Properties
Step by Step Construction
No Step
1.
Open GeoGebraPrim.
Show the grid and hide the axes.
2.
Draw circle using circle tool.
Place the centre of the circle, then a point through the circle.
3.
Place another 5 points in circle line. Use point tool.
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No Step
4.
Create an angle between every two adjacent point. Use angle tool , then select
three points that perform the angle. See the difference when you click three points in
counter clockwise or clockwise direction.
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No Step
5. Create a sector related with angle size.
Click Tools ���� Circle and Arc Tools ���� Circular sector with centre between two points.
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No Step
This icon will appear in tool bar. Select three points perform the sector, remember
that you have to select centre point first.
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No Step
You may change colours by right click on the object then choose Object Properties.
6. Save your work (File ���� Save As)
7. Publish your work as html.
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C. Height of Triangle
Students Worksheet:
1. Open heightoftriangle.ggb or heightoftriangle.html
2. Move point C so triangle ABC perform as:
a. Right triangle
b. Acute triangle
c. Obtuse triangle
3. In your words, describe how to find the height of triangle.
Key Concepts of GeoGebra:
• polygon
• perpendicular line
Step by Step Construction
No Step
1.
Open GeoGebraPrim.
Show the grid and the axes.
From the menu bar, choose Perspectives � Algebra and Graphics
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No Step
2.
Draw triangle using polygon tool .
Place three points, then click the first point again.
3.
Create line through AB using line through two points tool
4.
Create perpendicular line to AB through C using perpendicular line tool ,
Click point C then click line AB.
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No Step
5. Find point of intersection between perpendicular line and line AB using intersection point
tool .
6. Hide the perpendicular line. Right click on the line, then unmark Show object.
7.
Create segment between point C and the intersection point using .
Set the segment’s thickness, style and color using Object Properties.
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No Step
8.
Show the angle between line AB and perpendicular line. Use angle tool , then select
point B, intersection point, then point C.
9. Rename the label for height and base of triangle. Right click on the object then select
Rename.
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No Step
10. Save your work (File ���� Save As)
11. Publish your work as html.