GeoGebra applets, lessons, and resources.
1.) Use the sliders to adjust the minimum and maximum values of the factors.
2.) Type your answers in the text boxes.
3.) Click on the “Check Answers” command button to check your answer.
4.) Click the “New Set” command button to generate new sets of factors.
Download applet here
1.) Use the sliders to adjust the minimum and maximum values of the minuends/subtrahends.
2.) Type your answers in the text boxes.
3.) Click on the “Check Answers” command button to check your answer.
4.) Click the “New Set” command button to generate new sets of minuends/subtrahends.
Download applet here
Move sliders m and b below to investigate the graph of y = mx + b.
Questions
How to Use the Applet
1.) Use the sliders to adjust the minimum and maximum values of the addends.
2.) Type your answers in the text boxes.
3.) Click on the “Check Answers” command button to check your answer.
4.) Click the “New Set” command button to generate a new sets of addend.
Download applet here.
Four right triangles with sides a, b, and hypotenuse c, are arranged to form square GHIJ. You may adjust the size of the triangles by moving point G and their shape by moving point Q. Answer questions 1 and 2 first before moving the slider.
1) What type of quadrilateral is the white region? Justify your answer.
2) What is the area of the quadrilateral in (1)?
3) Move slider R to the extreme right to show slider T. Then, move slider T to the extreme right. What type/s of quadrilateral are the two white regions? Justify your answer.
4.) What are the areas of the quadrilaterals in (3)?
5.) How does the area of the quadrilateral in (1) relate to the areas of the quadrilaterals in (3)?
6.) What equation can we form from the relationship in (4) in terms of a, b, and c?
1.) Move slider p to the extreme right.
2.) Move slider q to the extreme right.
3.) Move slider r to the extreme right.
What is the relationship among the quadrilaterals when r was on the extreme left and when r was on the extreme right?
4.) Based on your exploration, what is the relationship among the areas of the squares with side lengths a, b, and c?
5.) Using the variables, a, b, and c write an equation about the relationship you found in 4.
Now, explore the GeoGebra applet below by moving point A (up and down) and moving points B and C along the diagonal.
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Created with GeoGebra by Guillermo Bautista
Explore!
1.) Click Pause and see the exact time the two friends arrive.
2.) Refresh the browser to delete the point traces.
3.) Click Pause and drag the sliders to customize the time arrival.
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Problem by Erlina R. Ronda
Created with GeoGebra by Guillermo P. Bautista Jr
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