10. (Continuation of 8 and 9.)
(8. In the diagram, ABC is straight and angles A and C are right. Calculate the total distance DB + BE.)
(9. If AB = 20 nd BC = 10 instead, would DB +BE be the same?)
10. You have seen that the value chosen for AB determines the value of DB + BE. One also says that DB + BE is a function of AB. Letting x stand for AB (and 30-x for BC), write a formula for this function. Then enter this formula into your calculator, graph it, and find the value of x that produces the shortest path from D to E through B.

The minimum point of this graph is (20, 39.14). The y-value represents the shortest path from D to E through B.

Other.

Geogebra 10/25

GEOGEBRA ASSIGNMENT Due FRIDAY 10/29! Create and embed an applet on your wiki page that show two points moving along paths that intersect at right angles. The paths should not be horizontal or vertical. The points should be controlled by one slider. One point should move twice as fast as the other. The points should arrive at the intersection point 1 time unit apart. You should trace your points so their paths can be easily seen. There are a number of examples of applets like these on solution pages.

Geogebra 11/1

GEOGEBRA ASSIGNMENT Due FRIDAY 11/5! Create and embed an applet on your wiki page that shows how the Altitudes, Perpendicular Bisectors, and Medians work. You should include a check box to hide and reveal things, as well appropriate 'DECORATIONS" to illustrate the correct markings on your triangle.You should also include some text to describe any significant features of the special segments.

Geogebra 11/8

Create and embed an applet that uses the SEQUENCE[ ] Command in a creative way. You have a lot of freedom, here. However, you need to make explicit how you used the SEQUENCE[] command to do the dirty work. You will need to use the GeoGebra HELP menu to find out how to use it. These two applets below were created with the SEQUENCE[ ] command.

Geogebra 11/15

Create and embed an applet that illustrates the FOUR ISOMETRIES and their COORDINATE RULES. You will need to use the LOCUS TOOL to construct your images. You should include appropriate text describing what an isometry is and what the four isometries do. Can you describe a reflection over ANY LINE using a coordinate rule? What about a GLIDE REFLECTION over any line? What about a ROTATION around ANY POINT? I know John has already done something this. Perhaps he could modify his applet so that the Coordinate Rules can be modified by a slider? I can also show anyone who wants it how to include make a TEXT BOX with DYNAMIC TEXT.

Geogebra 11/29

Create and embed an applet in your page that clearly illustrates the steps you go through to find the coordinates of the image of a point when reflecting over a line. You may want to include, under the VIEW menu, the Navigation Bar for Construction Steps. Ask me about Breakpoints.

Screencast 12/6

Winter Break Geogebra

Go ahead and make and embed an applet in GeoGebra (not in 3D) that can be used to illustrate one of the concepts/chapters in John and Betty's Journey into Complex Numbers. Then, make a SHORT screencast to accompany your applet, describing HOW your applet illustrates the concept/chapter.

Geogebra 1/14

As shown in the (silent) screencast below, I constructed an arbitrary quadrilateral ABCD. I then constructed the midpoints of the sides of the quadrilateral, constructing a new quadrilateral EFGH. This new quadrilateral certainly looks like something familiar. Create your own screencast of this construction, then, using the GeoGebra tools, confirm that this quadrilateral is what it is using any 2 of our 5 ways for proving it is so. Essentially, you are creating an audio proof.

## Table of Contents

## Portfolio Problem.

## Page 1

10. (Continuation of 8 and 9.)(8. In the diagram, ABC is straight and angles A and C are right. Calculate the total distance DB + BE.)

(9. If AB = 20 nd BC = 10 instead, would DB +BE be the same?)

10. You have seen that the value chosen for AB determines the value of DB + BE. One also says that DB + BE is a function of AB. Letting x stand for AB (and 30-x for BC), write a formula for this function. Then enter this formula into your calculator, graph it, and find the value of x that produces the shortest path from D to E through B.

The minimum point of this graph is (20, 39.14). The y-value represents the shortest path from D to E through B.

## Other.

## Geogebra 10/25

GEOGEBRA ASSIGNMENT Due FRIDAY 10/29! Create and embed an applet on your wiki page that show two points moving along paths that intersect at right angles. The paths should not be horizontal or vertical. The points should be controlled by one slider. One point should move twice as fast as the other. The points should arrive at the intersection point 1 time unit apart. You should trace your points so their paths can be easily seen. There are a number of examples of applets like these on solution pages.## Geogebra 11/1

GEOGEBRA ASSIGNMENT Due FRIDAY 11/5!Create and embed an applet on your wiki page that shows how the Altitudes, Perpendicular Bisectors, and Medians work. You should include a check box to hide and reveal things, as well appropriate 'DECORATIONS" to illustrate the correct markings on your triangle.You should also include some text to describe any significant features of the special segments.## Geogebra 11/8

Create and embed an applet that uses the SEQUENCE[ ] Command in a creative way. You have a lot of freedom, here. However, you need to make explicit how you used the SEQUENCE[] command to do the dirty work. You will need to use the GeoGebra HELP menu to find out how to use it. These two applets below were created with the SEQUENCE[ ] command.## Geogebra 11/15

Create and embed an applet that illustrates theFOUR ISOMETRIESand theirCOORDINATE RULES. You will need to use the LOCUS TOOL to construct your images. You should include appropriate text describing what an isometry is and what the four isometries do. Can you describe a reflection over ANY LINE using a coordinate rule? What about a GLIDE REFLECTION over any line? What about a ROTATION around ANY POINT? I know John has already done something this. Perhaps he could modify his applet so that the Coordinate Rules can be modified by a slider? I can also show anyone who wants it how to include make a TEXT BOX with DYNAMIC TEXT.## Geogebra 11/29

Create and embed an applet in your page that clearly illustrates the steps you go through to find the coordinates of the image of a point when reflecting over a line. You may want to include, under the VIEW menu, the Navigation Bar for Construction Steps. Ask me about Breakpoints.## Screencast 12/6

## Winter Break Geogebra

Go ahead and make and embed an applet in GeoGebra (not in 3D) that can be used to illustrate one of the concepts/chapters in John and Betty's Journey into Complex Numbers. Then, make a SHORT screencast to accompany your applet, describing HOW your applet illustrates the concept/chapter.## Geogebra 1/14

As shown in the (silent) screencast below, I constructed an arbitrary quadrilateralABCD. I then constructed the midpoints of the sides of the quadrilateral, constructing a new quadrilateralEFGH. This new quadrilateral certainlylookslike something familiar. Create your own screencast of this construction, then, using the GeoGebra tools, confirm that this quadrilateral is what it is using any 2 of our 5 ways for proving it is so. Essentially, you are creating an audio proof.=Sticky Note Geogebra

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## Xtranormal Homies

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## Power of the Point