Build and Explore with Geocadabra
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- Annice Lewis
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1 Build and Explore with Geocadabra
2 Task : How to use the Geocadabra Construction Box. When you activate the software, you see a screen like this Click on Basic application. Click on Lower for the User level and then on Construction box. 2. The following screen appears. Control panel Grid
3 2 3. There are two important parts on the screen with which you will work. Part : Control panel 4. Click with the left mouse button on any numbered space on the control panel. A number will replace the 0 in the space. 5. Each click with the left mouse button adds a one to the number in that space. Part 2: Grid 6. Describe what happens on the grid part of the screen when you change the zeroes to ones in the control panel Now add two more cubes on top of the one that is already on the screen. 8. Your screen should look like this:
4 3 9. Each right click on the mouse on the same space takes one cube away. 0. Now take away the two cubes so that we have only one cube as before.. Your screen should look like this: 2. Now you are ready to try the following: 3. Create the structure on your screen for each picture and write the numbers that you used in the grid above its picture. a.
5 4 b.
6 5 c. d.
7 6 e.
8 7 f.
9 8 Task 2: Special buildings. Look at Figure. Figure Mirror 2. When you place a mirror against the structure, you see the structure s reflection in the mirror. 3. The heavy line in Figure 2 shows you where the mirror is placed. Figure 2 4. How do you think the structure will look when you see it in the mirror?
10 9 5. Look at the following picture. Mirror Mirror image 6. We name the part of the figure on the right side of the mirror the mirror image. 7. See if you can build the following figures and their mirror images on your screen. 8. For each, write the correct numbers in the grid next to the figure. 9. Print your work and tape or glue it (only along one edge) by its figure. a.
11 0 b. c.
12 d. e.
13 2 f. g.
14 3 h..
15 4 Task 3: Create your own symmetrical buildings. Look at the following example. 2. This is a part of a symmetrical building. You complete the whole building on your computer. 3. Here is the completed symmetrical building that was created on the computer. 4. Can you see where the mirror goes? 5. Draw the mirror line with your ruler and pencil.
16 5 6. Now create six of your own symmetrical buildings on the computer. 7. Print them out and draw in their mirror lines with your pencil and ruler. 8. Insert your six printed figures into an envelope and glue it into the space below. Keep the flap of the envelope open so that you can look at your work later. Hgjg;iuffc.khv nnc hmb
17 6 Task 4: Complete the symmetry pattern (This task is not to be done on the computer).. Color the squares to look like a mirror image of each pattern shown below. a. Mirror b. Mirror
18 7 c. d. e.
19 8 f. g.
20 9 Task 5: Create your own symmetry patterns (This task is not to be done on the computer).. Color the spaces on both sides of the mirror line to create your own symmetry picture. a. b.
21 20 c. d. e.
22 2 Task 6: Pack the cubes in containers (This task is not to be done on the computer).. Look at the framework or net of a container drawn on a grid. 2. When you cut out and fold the net you will see that it forms a container without a lid. 3. You can fill the container with cube(s). 4. Copy the net onto 2 cm grid paper. Cut it out and see if you were right! 5. Fill in the blanks in the table. Measurements of the container Width (number of cubes) Depth (number of cubes) Height (number of cubes)
23 22 6. Look at the net of another container drawn on a grid. 7. You can fill the container with cube(s). 8. Copy the net onto 2 cm grid paper. Cut it out and see if you were right! 9. Fill in the blanks in the table. Measurements of the container Width (number of cubes) Depth (number of cubes) Height (number of cubes)
24 23 0. Look at the net of another container drawn on a grid.. You can fill the container with cube(s). 2. Copy the net onto 2 cm grid paper. Cut it out and see if you were right! 3. Fill in the blanks in the table. Measurements of the container Width (number of cubes) Depth (number of cubes) Height (number of cubes)
25 24 4. Look at the net of another container drawn on a grid. 5. You can fill the container with cube(s). 6. Copy the net onto 2 cm grid paper. Cut it out and see if you were right! 7. Fill in the blanks in the table. Measurements of the container Width (number of cubes) Depth (number of cubes) Height (number of cubes)
26 25 Task 7: How high is each container? (This task is not to be done on the computer.). The following figures show only the base (bottom) of each container. Draw the complete net. As before, the containers do not have lids. 2. You can put exactly 2 cubes inside each container. a. This container is cube(s) in height.
27 26 b. This container is cube(s) in height.
28 27 c. This container is cube(s) in height.
29 28 d. This container is cube(s) in height.
30 29 Task 8: Look at the three views of your structure (on the computer).. Look at the following grids that show how to build two different figures on the computer Will the two figures look the same if you build them? 3. Why or why not? Build each structure on your screen and print them out. Describe what you see in words Let us see how to resolve the problem. 5. Start a new Construction Box construction. 6. The screen should look like Figure.
31 30 Figure 7. Create the following figure on the computer using the numbers shown in the grid below Click on the button that says, Control line of view as shown in Figure 2. Figure 2
32 3 9. An extra window appears. Click on the different arrows in the new window. 0. See if you can turn the figure to look like the screen shown in Figure 3. Figure 3. What do you see now?. 2. To get the figure to look the way it did in Figure 2, click on the arrows in the Control line of view window.
33 32 3. Click in the check-box on the construction box that says, Show front, side and top views. 4. The screen should like like Figure 4. Figure 4 5. On the left side of the screen there are three new figures. 6. The arrows on the left point to checkmarks on the left side of each of the three figures. 7. Click on the lower two so that the checkmarks disappear. 8. What happens on the screen? 9. The screen should like like Figure 5. Figure 5
34 The drawing on the left side of the screen shows how the figure looks from the front. 2. You can move the whole window on the left side to the right side of the screen. 22. Click on the blue strip that says, Front, side and top views. While holding down the left mouse butoon, drag the mouse to the position where you wish to place the window. Release the left mouse button. 23. The window should look like the one shown below. 24. In the window, Front, side and top views, click to show the side view box.
35 Click on the arrows to change the line of view so that you see the side-view window as shown in Figure 8. Figure Click again in the Front, side and top views window to show the front view. 27. Click on the arrows to change the line of view so that you see the front view window as shown in Figure 9. Figure 9
36 35 Task 9: Show the three different views. You will be given two pieces of information about a figure. You will find the third third piece of information. 2. Then you will check your work by building the fiture on your computer. 3. Look at the following examples. Example Given: Given: Find: Sketch of the figure Grid of the figure. Front view 4 Draw the Find information in your notes before you use the computer to check your work. 5. The answer for the example above should look like this. Find:. Front view
37 36 6. Now check your work on the computer. Type the grid numbers into the spaces on the Construction Box window as shown below. 7. Make sure you understand and can do Example before you move on to Example Work though Example 2 before you start Task 0. Example 2 Given: Given: Find: Sketch of the figure Grid of the figure. Front view
38 37 9. First work the part under Find in your notes before you check the answer on the computer. 0. The correct answers for this example are shown below. Find:. Front view. Now enter the grid numbers for the figure (shown below) on the computer. 2. Check that the Construction Box grid and the views are as shown below. Your view sketches should look like these.
39 38 Task 0: You complete the views of the given figures and grids. You may draw on blank or gridded paper and tape or glue your work to form a flap over the given problem. Given: Given: Find: a. Sketch of the figure Grid of the figure. Front view b. Sketch of the figure Grid of the figure. Front view
40 39 c. Sketch of the figure Grid of the figure. Front view d. Sketch of the figure Grid of the figure. Front view
41 40 e. Sketch of the figure Grid of the figure. Front view 2 f. Sketch of the figure Grid of the figure. Front view 2 2
42 4 g. Sketch of the figure Grid of the figure. Front view 2 2 h. Sketch of the figure Grid of the figure. Front view 2 2 2
43 42 i. Sketch of the figure Grid of the figure. Front view 3 j. Sketch of the figure Grid of the figure. Front view 3 2 2
44 43 k. Sketch of the figure Grid of the figure. Front view l. Sketch of the figure Grid of the figure. Front view
45 44 m. Sketch of the figure Grid of the figure. Front view 3 2 n. Sketch of the figure Grid of the figure. Front view 2 3
46 45 o. Sketch of the figure Grid of the figure. Front view 2 3 p. Sketch of the figure Grid of the figure. Front view 2 3
47 46 q. Sketch of the figure Grid of the figure. Front view r. Sketch of the figure Grid of the figure. Front view
48 47 s. Sketch of the figure Grid of the figure. Front view t. Sketch of the figure Grid of the figure. Front view 3 4 2
49 48 Task : Use the views to build the structure.. You will be given the front, side and top views of a structure. You must complete the grid by writing numbers into the spaces. Then check your grid on the computer. The views that are shown on the computer should match the views shown in the problem. 2. Print the structure from the computer and glue it in as a flap over its problem in the notes. Example Printout of the figure Grid of the figure. Front view 3. Look carefully at the front, side and top views. Then write the numbers into the grid. 4. Now work with the computer. Be sure to switch off the Show front, side and top views option.
50 49 5. Now enter the numbers into the grid in the Construction Box. 6. When you have entered in your numbers, activate the Show front, side and top views option. 7. The screen should look like the following: 8. Check that the views on the computer are the same as the views presented in the problem. If they are different, try again.. Front view
51 50 9. Print the screen, cut out the picture of the figure, and glue it along one side of your notes as shown below: Printout of the figure Grid of the figure. Front view 0. Now complete the problems on the following pages.
52 5 Printout of the figure a. Grid of the figure. Front view b.. Front view
53 52 c.. Front view d.. Front view
54 53 e.. Front view. f.. Front view
55 54 g.. Front view h.. Front view
56 55 i.. Front view j.. Front view
57 56 k.. Front view l.. Front view
58 57 m.. Front view n.. Front view
59 58 o.. Front view p.. Front view
60 59 q.. Front view r.. Front view
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