ë Getting Started Introductory Tour Customer Support Advanced Tour Using the Tools Selection Arrow Straightedge Tools Point Tool Text Tool Compass Tool Custom Tool Using the Menus Edit Transform Display Measure Construct Graph Tips and Techniques Shortcuts Construction Hints Display Hints Performance Tips ë...
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GEOMETER · S ® SKETCHPAD for TI-89 TI-92 Plus Voyage User Guide and Reference Manual ë Innovators in Mathematics Education...
Contents ® 1 Introducing Sketchpad Dynamic Geometry ..................5 Introductory Tour..................6 Advanced Tour ..................13 Where to Go from Here ................17 2 Tools Using Tools....................22 Selection Arrow Tools ................24 Point Tool ....................27 Compass Tool ....................28 Straightedge Tools ..................30 Text Tool ....................31 Custom Tool ....................34 3 Commands Using Menus....................40 ƒ...
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Dragging the vanishing points alters the perspective dynamically. (Example from a TI-89.) The circumcircle of a triangle. This sketch starts with a triangle ABC . Construct the midpoints of each side, and then construct side bisectors—lines perpendicular to each...
Try the following two Guided Tours for an overview of Dynamic Geometry and how to use Sketchpad on your TI-89 or TI-92 Plus /Voyage 200 PLT. Or explore on your own, and turn to the reference sections if you need help learning how to do something.
PLT. the toolbox (Š) along the right edge. The @ symbol refers to the Press Š (TI-89: 2 Š) to large multidirectional cursor enter the toolbox. Then press @ pad on the TI-92 Plus and to until the Segment tool blinks.
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(The cursor changes to a [TI-89: 2 ] Š.) sideways arrow when it points to an object.) Press and hold ‚ (TI-89: j), then press @ to drag the vertex. Drag it around the entire screen. Practice dragging the other vertices of the triangle.
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The sketch area becomes blank again. A shortcut for activating the segment tool is ¥† Press Š (TI-89: 2 Š), D to ( TI-89 : ¥y). (There are the Segment tool, and press comparable shortcuts for ¸ to choose the Segment each of the other tools in the Toolbox based on position.
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If you wish to “repair” your isosceles triangle, select the point that you split from the circle, and select the circle itself. Then press ƒ Edit: y Merge Point To Circle (Merge to Path on the TI-89) to redefine the point on the circle.
Start Sketchpad, or, if it’s started already, press ƒ Edit: o Sketch: ¨ New to open a new sketch. Reminder: A shortcut for activating the segment tool Press Š (TI-89: 2 Š) @ is ¥† (TI-89: ¥y). until the Line tool (as opposed Repeat the shortcut to scroll...
The number of the shortcut corresponds with the position of the tool—for example, the Compass tool, which is the third tool down, can be activated using ¥… (TI-89: ¥ª). For a palette of tools (the Arrow and Straightedge tools), type the shortcut repeatedly to scroll through the palette.
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This can be a blank area, an existing point, or on an existing object. Press ¸ to construct a point. (On the TI-89, you may use M as a shortcut for ¸.) For objects defined by two points—segments, rays, lines, and circles—use @ to move to the location where you wish to finish constructing the object, and press ¸...
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Use these commands to hide and show objects and their labels, to trace objects, and to animate objects. The „ Display menu (TI-89) The … Construct Menu This menu provides a large assortment of Euclidean constructions, as well as interiors and loci.
Translate (slide), Rotate (turn), Dilate (stretch or shrink), and Reflect (flip). In general, you will first mark The † Transform menu (TI-89) appropriate parameters, then select objects to transform, and finally choose one of the transformation commands.
To change which tool is active, you must first enter the Tool toolbox to the right of the sketch, as described here: Steps Display Press Š (TI-89: 2 Š) to enter the toolbox. The active tool begins blinking. Note: Pressing N is a shortcut for choosing the Translate (standard) Selection Arrow tool.
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Toolbox Shortcuts ¥ƒ (TI-89: ¥ ) activates the first tool (the Arrow) without having to enter and leave the toolbox. ¥„ (TI-89: ¥ ) activates the second tool (the Point tool), and so forth. For a tool with a palette of choices, such as the Straightedge tools, pressing the tool shortcut (¥†...
The Arrow changes appearance given object. (See page 42 when it points to the object. for more information.) On the TI-89, M is a Press ¸. The object shortcut for ¸ when becomes selected. selecting objects or using tools.
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Arrow to white space near one corner of the objects you wish to select. Press and hold ‚ (TI-89: j). Then move the Arrow to the opposite corner of the objects you wish to select. Sketchpad displays a selection marquee rectangle between the two corners.
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As you drag, all related objects adjust automatically. Release ‚ (TI-89: j) to stop dragging. To dilate or rotate an object, follow the same steps, but use the Dilate or Rotation Arrow instead of the Translate Arrow.
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Press and hold ‚ (TI-89: j). Then use the @ cursor controls to reposition the label. You can drag the label a small distance around the object’s perimeter, but Sketchpad prevents you from dragging it too far.
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The shortcut for activating the Custom tool is ¥ˆ toolbox by pressing Š (TI-89: ¥ (TI-89: 2 Š), @ to the Custom tool, and then pressing ¸ to activate your choice. Sketchpad presents a pop-up menu of Custom Tool options.
(note that you must press 2ˆ to access the ˆ menu on Commands the TI-89). If that list exceeds nine items, the tenth command will be named A, the eleventh B, and so on. If the list is longer than your screen, you’ll see a down-pointing arrow next to the number/letter of the last...
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Keyboard shortcuts always start with the ¥ key on the TI-92 Plus/Voyage™ 200 PLT, and start with the ¤ or the ¥ key on the TI-89. For example, you can Undo your last action by pressing ¥ (TI-89: ¤) and then the key instead of having to open the ƒ...
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Midpoint of a segment. Press ƒ Edit: y Split Point From Segment (Split From Object on the TI-89). The point separates from the segment. When a point is split from its object, it becomes an independent point that can be dragged anywhere in the sketch.
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Select an independent point and a path (in this case, a circle). Press ƒ Edit: y Merge Point to Circle (Merge to Path on the TI-89). The point moves to merge with the path. Merging Text Use Merge Text if you want...
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Even when hidden, the toolbox can still be accessed by pressing Š (TI-89: 2 Š). (The toolbox will temporarily display itself as you choose a new tool.) Keyboard shortcuts for accessing specific tools continue to work when the toolbox is hidden.
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To construct lines passing through a single point parallel to two or more straight objects, select the given point and two or more straight objects. Then press … Construct: m Parallel Lines (Parallels on the TI-89). Perpendicular Line To construct a perpendicular line, select a point through which the line should pass and a segment, ray, line, or axis to which the line should be perpendicular.
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You can also use the To alter an existing calculation, select it in the sketch. Then press calculator to enter fixed ‡ Measure: Ó Edit Calculation (TI-89: j ). Sketchpad opens the quantities—for example, calculator and displays the current expression. Modify the expression as 45°.
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To measure the abscissa—or x-coordinate—of a point, select that point and Of course, you can see both the abscissa and ordinate of press ‡ Measure: (TI-89: j ) ÚAnalytic: ª Abscissa (X). a point together when you Sketchpad measures and selects the abscissa of the selected point.
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In either case, select the appropriate defining object or objects and press ˆ Graph: ¨ Define Coordinate System (TI-89: 2 ˆ Graph: ¨ Define Axes ). The following table lists the ways in which you can define new coordinate systems and the objects you must select to define them.
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θ . in Preferences, the measurements will each Press ˆ Graph: (TI-89: 2 ˆ) { Plot As (r, θ θ ). Sketchpad change to 2.54 (because 1 constructs a point whose polar coordinates are equal to the two inch is 2.54 cm), and as a...
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‡ Graph menu. Example Graph: y = 2x + 1 Display Press ˆ Graph: (TI-89: 2 ˆ) m Plot Function. Sketchpad displays the function calculator, with y = f(x) as the default equation to graph. Press 2 and then the multiplication key.
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2 key immediately before pressing the first—or in the case of the Point tool, only— ¸; note that on the TI-89, you must use the ¸ key in this situation, not the M shortcut key) when creating a selection marquee, prevents (+ ‚@)
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N Key N is a general-purpose shortcut for “escaping” from the current Sketchpad activity in both the TI-89 and the TI-92 Plus/Voyage™ 200 PLT. The action taken by N depends on your current activity, but if you press N repeatedly, eventually you will return to a sketch in which the Translate Arrow is the active tool, no objects are selected, no animation is active, and no traces are visible.
This section lists a few pointers about optimizing the performance of The Geometer’s Sketchpad for TI-89, TI-92 Plus, and Voyage™ 200 PLT . Selection Take advantage of Sketchpad’s default selections. Whenever you construct something, Sketchpad leaves the result selected.
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