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Worksheets

Integrating ICT in Mathematics Education

Total questions: 76

Worksheet time: 4hrs 33mins

Name
Class
Date
1.

What is GeoGebra Classic?

a)
GeoGebra Classic is a web browser.
b)
GeoGebra Classic is a dynamic mathematics software for geometry, algebra, and calculus.
c)
GeoGebra Classic is a video editing software.
d)
GeoGebra Classic is a social media platform.
2.

How to operate GeoGebra's geometry tools?

a)
GeoGebra's geometry tools are only for advanced users.
b)
You cannot manipulate figures in GeoGebra.
c)
Use the geometry tools in GeoGebra to create and manipulate geometric figures.
d)
Use GeoGebra to write essays on geometry.
3.

How to save and open GeoGebra files?

a)
Use 'File' > 'Save' to save and 'File' > 'Open' to open GeoGebra files.
b)
Use 'Edit' > 'Save As' to save files.
c)
Select 'Tools' > 'Export' to save GeoGebra files.
d)
Click on 'View' > 'Open File' to access files.
4.

Select the Circle with Center and Radius tool and read the Tooltip in order to find out how to create a circle with centerpoint A and radius 4.

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5.

Use the Style Bar button in the right upper corner of the Graphics View in order to open the Style Bar.

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6.

Use the Coordinate Axes button in the Style Bar in order to show or hide the coordinate axes.

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7.

Select the Grid button and choose the kind of grid you would like to display in the Graphics View.

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8.

Activate the Move tool and select the triangle.

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9.

Open the Style Bar by using the Style Bar button in the right upper corner.

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10.

Change the color of the triangle.

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11.

Select point D.

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12.

In the Style Bar, select the button with the black point and choose another symbol for point D.

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13.

Select the segment.

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14.

In the Style Bar, select the line button and choose a style for the segment.

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15.

You can change this label setting in the Style Bar.

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16.

Activate the Move tool and select the line.

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17.

Open the Style Bar.

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18.

Change the Label setting to Value in order to show the line's equation.

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19.

Use the Move tool in order to select point B.

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20.

Change the Label setting to Name and Value in order to show the point's coordinates.

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21.

Click the Style Bar button in order to close the Style Bar.

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22.

Activate the Show / Hide Object tool.

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23.

Select all objects you want to hide.

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24.

Switch to any other tool in order to apply your visibility changes.

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25.

Select tool Show / Hide Object from the last Toolbox in the Toolbar.

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26.

Select on one of the circles, which is auxiliary and should be hidden.

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27.

Select another tool (e.g. the Move tool) in order to apply your changes and hide the circle.

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28.

Also hide the other circle, as well as the lines.

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29.

Use the Menu button in order to open the menu.

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30.

Select the View menu.

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31.

Check the option Navigation Bar.

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32.

Close the menu using the Menu button again.

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33.

You may create new objects (e.g. points, lines, functions) by either using the Graphics Tools provided in the Toolbar, or by entering their equations and coordinates into the Algebra Input and pressing the Enter key.

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34.

Enter the linear equation y = 3*x + 1 into the Algebra Input and press the Enter key.

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35.

Enter the function f(x) = x^2 + 2 into the Algebra Input and press the Enter key.

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36.

Enter B = (2, 1) into the Algebra Input and press Enter in order to create a new point.

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37.

Create another new point C = (-1, 3).

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38.

Select the Line tool from the Toolbar and click twice in the Graphics View or on the two existing points B and C to create a line.

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39.

You can drag existing objects in the Graphics View, or change their equations and coordinates in the Algebra View.

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40.

Select the Move tool and drag objects in the Graphics View to change their position.

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41.

Double click on an object in the Algebra View in order to directly change its equation or coordinates, or redefine it.

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42.

Sometimes, you may want to delete objects that you created in one of the following ways.

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43.

Select the Undo button in order to undo the last object(s) you created.

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44.

Use the Delete tool in order to delete any object you created.

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45.

Click on the last Tool icon in order to open the corresponding Toolbox.

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46.

Select the Delete tool from the Toolbox and click on the object(s) you want to delete.

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47.

Each GeoGebra View provides a Toolbar with a selection of Tools specific for the View you are working with.

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48.

Select the Circle with Center through Point tool.

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49.

Click twice in the Graphics View in order to create a circle.

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50.

Select the Move tool and drag the points in order to change the circle's size and / or position.

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51.

GeoGebra's Tools are organized in Toolboxes, containing similar Tools, or Tools that generate the same type of new object.

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52.

Search the Toolboxes for the Segment tool.

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53.

Click twice in the Graphics View in order to create two points and a segment between them.

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54.

Select the Move tool and drag the points in order to change size and / or position of the segment.

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55.

When you select a Tool, a Tooltip appears explaining how to use this Tool.

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56.

If you want to know more about this Tool, click on the Tooltip.

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57.

Select the Polygon tool.

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58.

Read the Tooltip.

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59.

Figure out how to use this tool in order to create a triangle.

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60.

Select the Move tool and drag the background of the Graphics View.

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61.

Using the tool Zoom In you can zoom into your construction and see more details.

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62.

Using the tool Zoom Out you can zoom out of your construction and get an overview.

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63.

Click on the Style Bar button and select Back to Default View in order to undo all changes to the Graphics View.

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64.

Always confirm the expression you entered into the Algebra Input by pressing the Enter key.

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65.

Type name = into the Algebra Input in front of an algebraic representation in order to name a new object.

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66.

Indicate multiplication.

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67.

GeoGebra is case sensitive! Thus, upper and lower case letters must not be mixed up.

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68.

Points are always named with upper case letters.

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69.

Vectors are named with lowercase letters.

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70.

Segments, lines, circles, functions... are always named with lowercase letters.

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71.

The variable x within a function and the variables x and y in the equation of a conic section always need to be lower case.

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72.

If you want to use an object within an algebraic expression or command you need to create the object prior to using its name in the Algebra Input.

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73.

The input y = m x + b creates a line whose parameters are the values m and b.

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74.

Stories in mathematics help us

a)

To develop skills like problem solving, analogical skills, visualisation etc

b)

Make classroom transaction attractive

c)

Attracts pupils

d)

All of the above

75.

Which of the following afford opportunities to students to deepen their mathematical understanding and reasoning

a)

Modelling

b)

Games

c)

Stories

d)

None of the above

76.

Integrated teaching means

a)

Integration of mathematics with other subjects

b)

Integrating pupils' experience with teaching

c)

Involving language teaching in the teaching of core subjects

d)

Both A and B