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TI-83 Plus: Constructions with Cabri Jr. PowerPoint Presentation

TI-83 Plus: Constructions with Cabri Jr.

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### TI-83 Plus: Constructions with Cabri Jr.

Presented by Judy O’Neal, North Georgia College & State University ([email protected])

F1

Undo

New

Open

Save as

Quit

F2

Point

Point

Point on

Point of Intersection

Line

Segment

F3

Perpendicular line

Parallel line

Perpendicular Bisector

Angle Bisector

Midpoint

F5

Alph-Num

Measure

Distance & Length

Angle

Slope

Clear

Moving/dragging

Calculator Skills AddressedMathematics Topics Addressed

- Basic geometric constructions
- bisecting a segment
- bisecting an angle
- constructing a perpendicular bisector of a line segment
- constructing a perpendicular from a point to a line
- constructing a line parallel to a given line through a point not on the line

Activating Cabri Jr.

- Press APPS.
- Arrow down to Cabri Jr (or press ALPHA C to move the cursor quickly to the C’s) and press ENTER.
- Press your favorite key.
- View one of the two screens at bottom right.
- If the F1 menus shows, press CLEAR to obtain a blank screen.

Drawing a Segment

- Press F2, arrow down to Segment, and press ENTER.
- A segment icon appears in the upper left-hand corner of the screen.

- Use the arrow keys to move the cursor (pencil) to the desired location for the first endpoint of the segment and press ENTER.
- A blinking point appears.

- Use the arrow keys to move the cursor to the desired location for the second endpoint and press ENTER.
- A dotted line segment appears as the arrow keys are used and a blinking point appears after pressing ENTER.

- Press CLEAR to exit the Segment tool.

Bisecting a Segment

- Press F3, down arrow to Midpoint, and press ENTER.
- The Midpoint tool appears in the upper left-hand corner of the screen.

- Use the arrow keys to move the cursor close to the segment so that it starts to “dance” (becomes moving dashes) and press ENTER.
- Press CLEAR to exit the Midpoint tool.

Verifying a Segment Bisector (Midpoint)

- Measure the distance between the midpoint and one of the endpoints.
- Press F5, down arrow to Measure, right arrow to D & Length, and press ENTER.
- Move cursor to one endpoint (it will blink) and press ENTER.
- Move cursor to the midpoint (it will blink) and press ENTER.

- Move the “hand” or “grab” tool using the arrow keys to desired location and press CLEAR.
- Repeat measuring distance between the other endpoint and the midpoint.
- Compare the distances.
- Press CLEAR to exit the Measure tool.

Labeling Points

- Press F5, arrow to Alph-Num, and press ENTER.
- Move cursor to one of the points (it will blink), press ENTER (a vertical bar appears), type a letter, and press ENTER.
- If the wrong letter is typed, immediately press CLEAR and retype the correct letter.

- Name the remaining points.
- Press CLEAR to exit the Alpha tool.

Moving Labels

- Move cursor to the label to be moved until a blinking underline and clear arrow appear and press ALPHA (grab tool appears).
- Use arrow keys to move the label to desired location and press CLEAR or ENTER.
- NOTE: Labels attached to points have a limited range of movement.

Saving and Clearing a Screen

- To save a screen,
- Press F1, arrow down to Save as, and press ENTER.
- Type a name for the file using the calculator keys (no need to access F5 Alph-Num) and press ENTER.

- To clear a screen,
- Press F5, arrow down to Clear, press right arrow, select All, and press ENTER.

Drawing an Angle

- Press F2, arrow down to Segment, and press ENTER.
- Draw a segment.
- NOTE: Cabri Jr. has no ray tool for constructing angles.

- Draw a second segment beginning at the end of the first segment, making certain that the point at the end of the first segment is blinking.
- Press CLEAR to exit the Segment tool.
- Label the angle.

Bisecting an Angle

- Press F3, arrow down to Angle Bisector, and press ENTER.
- Angle Bisector tool appears in upper left-hand corner of screen.

- Move cursor to select one of the non-vertex points (point will blink) and press ENTER (point will highlight).
- Move cursor to the vertex point and press ENTER when the point blinks.
- A dotted line will appear.

- Move cursor to the third point and press ENTER.
- The dotted will change to a solid line.

- Press CLEAR to exit the Angle Bisector tool.

Preparing to Measure Angles

- Press F2, choose Point, right arrow to Point on, and press ENTER.
- Move cursor to location of desired point (line will dance), press ENTER, and press CLEAR.
- Label new point.
- Press F5, select Alph-Num, press ENTER, move cursor, press ENTER, type label, press ENTER, and press CLEAR.

Measuring Angles

- To measure DEG
- Press F5, arrow down to Measure, right arrow to Angle, and press ENTER.
- Angle measure icon will appear in upper left-hand corner of screen.

- Move cursor to a non-vertex point D and press ENTER.
- Arrow to vertex point E (noticing that a dotted line appears) and press ENTER when the vertex point blinks.
- Move cursor to point G (dotted angle shows) and press ENTER.
- Move hand/grab tool, if desired, and press CLEAR.

- Press F5, arrow down to Measure, right arrow to Angle, and press ENTER.

Verifying Angle Bisection

- Measure GEF.
- Move cursor to a non-vertex point G and press ENTER.
- Arrow to vertex point E (noticing that a dotted line appears) and press ENTER when point E blinks.
- Move cursor to point F (dotted angle shows) and press ENTER.
- Move hand/grab tool, if desired, and press CLEAR.

- Observe the relationship of angles measures.
- If desired, measure FED to confirm total angle measure.

Moving a Point

- Move cursor to a non-vertex point and press ALPHA when point blinks and arrow becomes clear.
- Move point using the arrow keys to change angle measures.
- Press CLEAR to exit hand/grab tool.

Saving a Construction

- Press F1, arrow down to Save as, and press ENTER.
- Name the file ANGLEBIS and press ENTER.

Constructing a Perpendicular Bisector

- Open a NEW file.
- Press F1, arrow down to New, and press ENTER (a blank screen appears).

- Draw a segment.
- Press F2, arrow down to Segment, press ENTER, and press CLEAR.

- Construct the perpendicular bisector.
- Press F3, arrow down to Perp. Bis., and press ENTER.
- Arrow to the line segment (it will dance) and press ENTER.

Verifying Perpendicularity

- To measure the angle formed between the “supposed” perpendicular lines, construct a point at the intersection of the two lines.
- Press F2, select Point, arrow right and down to Intersection, and press ENTER.
- Notice the Intersection icon in the upper left-hand corner of the screen.

- Move cursor close to the intersection (both lines will dance), press ENTER, and press CLEAR.
- Press F2, select Point, arrow to Point on, and press ENTER.
- Move cursor to the top portion of the supposed perpendicular line and press ENTER.
- Move cursor to the bottom portion and press ENTER.
- Measure angles and drag to investigate.
- Angle measures do not move with the lines.

- Press F2, select Point, arrow right and down to Intersection, and press ENTER.

Drawing a Line

- Press F2, down arrow to Line, and press ENTER.
- Move the cursor to the desired location to begin drawing the line and press ENTER.
- Use the arrow keys to move the cursor to the desired location for the second point to anchor the line and press ENTER.
- A dotted line appears as the arrow keys are used.

- Press CLEAR to exit the Line tool.

Constructing a Perpendicular from a Point to a Line

- Draw a point not on the line.
- Press F2, select Point, right arrow to Point, and press ENTER.
- Notice the Point icon in the upper left-hand corner of the screen.

- Move cursor to desired location, press ENTER, and press CLEAR.

- Press F2, select Point, right arrow to Point, and press ENTER.
- Construct a perpendicular to the line through the point not on the line.
- Press F3, select Perp., and press ENTER.
- Notice the Perp icon in the upper left-hand corner of the screen.

- Arrow to the point, press ENTER, arrow to the line, press ENTER, and press CLEAR.

- Press F3, select Perp., and press ENTER.

Investigating Distance

Task for Students:

- Explore how the distances from a point on the perpendicular bisector of a segment to each segment endpoint compare.
- Use F5, Measure, D & Length tool.
- Drag the point on the perpendicular bisector and observe what happens to the distances.
- Constructing segments (F2) may improve visualization.
Question for Students:

- Constructing segments (F2) may improve visualization.

- What appears to be true about the distances from a perpendicular line to the endpoints of the line segment?

Undoing and Deleting

- To undo an action,
- Press F1, down arrow to Undo, right arrow to Undo, and press ENTER.
- The previous action is undone but there is no redo option.

- Press F1, down arrow to Undo, right arrow to Undo, and press ENTER.
- To delete an object,
- Press F5, arrow down to Clear, right arrow to Object, and press ENTER.
- Move cursor to object(s) to be deleted (they will dance) and press ENTER.

- Press CLEAR to exit the tool menu, if desired.

Constructing a Line Parallel to a Line Through a Given Point

- Using the previous line and a point not on the line,
- Press F3, arrow down to Parallel, and press ENTER.
- Move cursor to highlight the line and press ENTER.
- A blinking line will appear.

- Move the parallel line to the point not on the original line and press ENTER when the point blinks.
- Press CLEAR to exit the Parallel tool.
- Save drawing, if desired.

Verifying Lines are Parallel

- Use slopes to determine whether lines are parallel.
- Press F5, down arrow to Measure, right arrow to Slope, and press ENTER.
- Slope icon appears in upper left-hand corner.

- Move cursor to original line (it dances) and press ENTER.
- Move hand/grab tool to desired location and press CLEAR.
- Repeat process with parallel line.
- Press CLEAR to exit Slope tool.

- Press F5, down arrow to Measure, right arrow to Slope, and press ENTER.
- To drag original line,
- Move cursor to one of the points, press ALPHA, and arrow up or down.
Question for Students:

- Move cursor to one of the points, press ALPHA, and arrow up or down.
- What appears to be true about the slopes of parallel lines?

Quitting Cabri Jr.

- Press F1, arrow to Quit, and press ENTER.
- NOTE: The screen last displayed will reappear the next time Cabri Jr. is opened.

GPS Addressed

- M7G1
- Perform basic constructions using appropriate technology (bisecting a segment, bisecting an angle, constructing perpendicular lines including perpendicular bisector of a line segment, and constructing a line parallel to a given line through a point not on the line)

- M7P1
- Using appropriate technology, build new mathematical knowledge through problem solving

Websites for Additional Exploration

- Texas Instruments
- Latest operating system and Apps http://education.ti.com/educationportal/sites/US/nonProductMulti/apps_latest.html?bid=3
- Cabri Jr. Apps Resources – 45-Day Trial Kit Kithttp://education.ti.com/educationportal/sites/US/nonProductSingle/global_promo_geometry.html

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