Interactive Manual › Chapter 9

Chapter 9: Split Screen

Show a graph and a second screen at the same time. Covers the Horiz (top/bottom) and G-T (graph/table, left/right) split-screen modes, moving between the two halves, which screens stay full-size, and the pixel limits for Pxl-On(, Text( and Output( in each mode.

Getting Started: Exploring the Unit Circlep. 137

G-T (graph-table) split screen puts a graph on the left and a table on the right. This is a handy way to see how the points of the unit circle line up with the familiar cosine and sine values of 0°, 30°, 45°, 60°, 90° and so on.

You will graph the circle parametrically, with X₁T = cos(T) and Y₁T = sin(T), in Degree mode. Then you will trace around the circle in 15° steps and watch the table on the right follow the cursor.

Tutorial

Explore the unit circle in G-T mode

Set Degree, Par and G-T modes, turn off the function label, define X₁T and Y₁T, set the window, trace, and finally change the table to Ask.

▶ Try this step-by-step on the online TI-84 Plus — keys light up as you go

Open the MODE screen.
MODE
Move down two lines to the Radian/Degree row, move the cursor right onto Degree and press ENTER to select it.
▼︎▼︎▶︎ENTER
Move down one line to the Func/Par/Pol/Seq row, move right onto Par and select it with ENTER.
▼︎▶︎ENTER
Move down four lines (past Connected/Dot, Sequential/Simul, Real/a+bi/re^θi) to the Full/Horiz/G-T row, move right twice onto G-T and press ENTER.
▼︎▼︎▼︎▼︎▶︎▶︎ENTER
Open the FORMAT screen with 2ndFORMAT.
2ndFORMAT
Move down five lines to the last row (ExprOn/ExprOff), move right onto ExprOff and select it. This keeps the equation from being printed over the graph.
▼︎▼︎▼︎▼︎▼︎▶︎ENTER
Open the Y= editor. In Par mode it has X₁T and Y₁T lines.
Y=
Type cos(T) into X₁T. In Par mode the X,T,θ,n key types T. Press ENTER to move to Y₁T.
COSX,T,θ,n)ENTER
Type sin(T) into Y₁T and press ENTER.
SINX,T,θ,n)ENTER
Open the window editor. Set Tmin=0, Tmax=360 and Tstep=15 (the first three lines), pressing ENTER after each.
WINDOW0ENTER360ENTER15ENTER
Next come Xmin=⁻2.3, Xmax=2.3 and Xscl=1. Use (−) for the minus sign.
(−)2.3ENTER2.3ENTER1ENTER
Finally Ymin=⁻2.5, Ymax=2.5 and Yscl=1.
(−)2.5ENTER2.5ENTER1ENTER
Press TRACE. The unit circle is drawn on the left and the table appears on the right. The trace cursor starts at T=0, where the table shows X₁T=1 and Y₁T=0.
TRACE
Press ▶︎ to move the cursor to the next 15° step. Keep pressing it to go around the circle. As you go, the table scrolls so that the row for the current angle is highlighted, giving you decimal approximations of the standard values.
▶︎
Open the table setup screen with 2ndTBLSET and change Indpnt to Ask: move down two lines to the Indpnt line, move right onto Ask and press ENTER.
2ndTBLSET▼︎▼︎▶︎ENTER
Press 2ndTABLE (TABLE) to make the table half active. With Ask, you can now type your own angles into the T column and the table calculates the matching values.
2ndTABLE

Using Split Screenp. 138

The calculator has three screen modes, all chosen on one line of the MODE screen. Full shows one screen at a time. Horiz and G-T divide the display so that a graph and another screen can be seen together. Use Horiz when you want to read the home screen or an editor under the graph, and G-T when you want the table next to the graph.

Setting a Split-Screen Modep. 138

Press MODE, move the cursor to the Full/Horiz/G-T line, choose the mode you want and press ENTER.

Screen modes on the MODE screen
MODE setting	What it shows
Full	One screen at a time (the normal display).
Horiz	Horizontal split: the graph on top and a second screen (home screen, Y= editor, list editor, window editor or table) on the bottom.
G-T	Graph-table split: the graph on the left and the table (or list data) on the right.

The screen does not split the moment you choose the mode. The split appears when you press a key that applies to one half of it, such as GRAPH or Y=.

Note The calculator stays in the split-screen mode you picked until you go back to the MODE screen and select Full.

Tutorial

Select Horiz mode

▶ Try this step-by-step on the online TI-84 Plus — keys light up as you go

Open the MODE screen.
MODE
Move down seven lines to the Full/Horiz/G-T line, move right onto Horiz and press ENTER.
▼︎▼︎▼︎▼︎▼︎▼︎▼︎▶︎ENTER
Leave the MODE screen with 2ndQUIT. You are back on the home screen. Press GRAPH and the screen splits: the graph is on top, with the bottom half left for text.
2ndQUITGRAPH

Tutorial

Select G-T mode

▶ Try this step-by-step on the online TI-84 Plus — keys light up as you go

Open the MODE screen.
MODE
Move down seven lines to the Full/Horiz/G-T line, move right twice onto G-T and press ENTER.
▼︎▼︎▼︎▼︎▼︎▼︎▼︎▶︎▶︎ENTER
Leave the MODE screen with 2ndQUIT and press GRAPH. The graph appears on the left; press 2ndTABLE to make the table on the right active.
2ndQUITGRAPH2ndTABLE

Stat Plots, List Data and the Table Halfp. 138

If stat plots are turned on, they are drawn on the graph half together with any x-y graphs. Press 2ndTABLE to make the table half of the split screen active; when a stat plot is on, the right-hand half then shows its list data.

Press ▼︎ or ▲︎ to highlight a value you want to change, then type a new number straight over it.
Press ▶︎ repeatedly to scroll through the columns, both table columns and list-data columns.
List values in this view are edited much like in the stat list editor.

Tip A split-screen display can show x-y graphs and stat plots at once, with the plotted points on the left and their lists on the right.

Full Screens and the Active Halfp. 139

Some screens never split. If you press MODE while in Horiz or G-T, the MODE screen takes over the whole display. Press a key that belongs to one half of the split screen, for example TRACE, and the split returns.

Each key goes to the half it belongs to, and the cursor moves there. TRACE puts the cursor in the half that holds the graph. 2ndTABLE puts it in the half that holds the table.

Tutorial

MODE is a full screen even in a split mode

▶ Try this step-by-step on the online TI-84 Plus — keys light up as you go

The calculator is already in Horiz mode. Press GRAPH to see the split display.
GRAPH
Press MODE. The MODE screen fills the whole display.
MODE
Press TRACE. This key belongs to the graph half, so the split screen comes back with the trace cursor on the graph.
TRACE

Horiz (Horizontal) Split Screenp. 139

In Horiz mode a horizontal line divides the display into a top half and a bottom half. The top half always shows the graph. The bottom half shows one of these screens:

What can appear under the graph in Horiz mode
Bottom-half screen	Room available
Home screen	Four lines
Y= editor	Four lines
Stat list editor	Two rows
Window editor	Three settings
Table editor	Two rows

Horiz

Horiz

Sets the horizontal split-screen mode. It does the same as selecting Horiz on the MODE screen. In a program it takes effect when it is reached, and stays in effect after the program ends.

Keys: MODE

Moving from Half to Half in Horiz Modep. 139

The key you press decides which half you work in.

Switching halves in Horiz mode
To use	Do this
Top half (graph)	`GRAPH` or `TRACE`, or choose any ZOOM or CALC operation
Bottom half: home screen	Any key or key combination that shows the home screen
Bottom half: Y= editor	`Y=`
Bottom half: stat list editor	`STAT` `ENTER` (Edit)
Bottom half: window editor	`WINDOW`
Bottom half: table editor	`2ndTABLE` (TABLE)

Tutorial

Move between the halves in Horiz mode

▶ Try this step-by-step on the online TI-84 Plus — keys light up as you go

Horiz mode is already on. Press GRAPH to use the top half. The graph of Y₁=X² is drawn above, with the bottom half reserved for text.
GRAPH
Press Y=. The Y= editor appears in the bottom half and the graph stays above.
Y=
Press WINDOW to show the window editor in the bottom half (three settings at a time).
WINDOW
Press STAT then ENTER to open the stat list editor in the bottom half.
STATENTER
Press 2ndTABLE to show the table in the bottom half.
2ndTABLE
Press 2ndQUIT to quit to the home screen. The home screen now uses the bottom half, four lines tall.
2ndQUIT

Full Screens in Horiz Modep. 140

Every screen other than the six above is shown full size in Horiz mode: the graph, home screen, Y= editor, stat list editor, window editor and table editor are the only ones that share the display. Screens such as MODE, FORMAT, menus and the MATH screens use the whole display.

To get the split screen back, press any key or key combination that shows the graph, home screen, Y= editor, stat list editor, window editor or table editor.

G-T (Graph-Table) Split Screenp. 140

In G-T mode a vertical line divides the display into a left half and a right half. The left half shows every active graph and plot. The right half shows either the table that matches the graph, or the list data that matches a stat plot.

G-T

G-T

Sets the graph-table (vertical) split-screen mode. It does the same as selecting G-T on the MODE screen. In a program it takes effect when it is reached, and stays in effect after the program ends.

Keys: MODE

Moving from Half to Half in G-T Modep. 140

Switching halves in G-T mode
To use	Do this
Left half (graph)	`GRAPH` or `TRACE`, or choose any ZOOM or CALC operation
Right half (table or list data)	`2ndTABLE` (TABLE)

If the right half is showing list data, you can edit the values there in much the same way as in the stat list editor.

Tutorial

Move between the halves in G-T mode

▶ Try this step-by-step on the online TI-84 Plus — keys light up as you go

G-T mode is already on. Press GRAPH: the graph of Y₁=X² is drawn in the left half and the table appears on the right.
GRAPH
Press 2ndTABLE (TABLE) to move to the right half. You can now scroll the table with ▼︎ and ▲︎.
2ndTABLE
Press TRACE to go back to the left half, with the trace cursor on the graph.
TRACE

Using TRACE in G-T Modep. 141

While tracing in the left half, press ◀︎ or ▶︎ to move the cursor along the graph. The table on the right scrolls by itself so that it always shows the values at the cursor. If more than one graph or plot is active, press ▲︎ or ▼︎ to jump to another one.

Note In Par graphing mode, tracing fills both columns of the table, one for XnT and one for YnT, and the current value of the independent variable T is displayed on the graph.

Tutorial

Trace a graph in G-T mode

▶ Try this step-by-step on the online TI-84 Plus — keys light up as you go

Press TRACE. The cursor starts on Y₁ at the middle of the screen, and the table on the right shows the same X value.
TRACE
Press ▶︎ three times. The cursor moves along the graph and the table scrolls to match.
▶︎▶︎▶︎
Press ▲︎ (or ▼︎) to jump to the other active graph, Y₂. The table follows the new graph.
▲︎

Full Screens in G-T Modep. 141

Only the graph and the table share the display in G-T mode. Every other screen (home screen, Y= editor, window editor, MODE and so on) is shown full size.

To get back to the G-T split screen, press any key or key combination that shows the graph or the table.

Pixels in Horiz and G-T Modesp. 141

A split screen leaves the graph with fewer pixels, so the largest row and column numbers you can use in drawing and output commands are smaller than in Full mode. Pixel coordinates are given as (row, column), counted from (0,0) at the top-left corner of the graph area.

Graph pixels available in each split-screen mode
Mode	Graph area	Corner pixels (row,column)
Horiz	Top half: rows 0 to 30, columns 0 to 94	(0,0) (0,94) (30,0) (30,94)
G-T	Left half: rows 0 to 50, columns 0 to 46	(0,0) (0,46) (50,0) (50,46)

Largest row and column each instruction accepts
Instruction	Horiz: row ≤, column ≤	G-T: row ≤, column ≤
Pxl-On(, Pxl-Off(, Pxl-Change(, pxl-Test(	30, 94	50, 46
Text(	25, 94	45, 46
Output( (programs only)	4, 16	8, 16

Note Values larger than these limits cause an error. If your drawing programs were written for the Full screen, check these limits before running them in a split-screen mode.

DRAW POINTS Menu Pixel Instructionsp. 141

These four instructions work on single pixels of the graph. In split-screen modes the row and column are limited like this:

In Horiz mode, row must be ≤ 30 and column must be ≤ 94.
In G-T mode, row must be ≤ 50 and column must be ≤ 46.

Pxl-On(

Pxl-On(row,column)

Turns on the graph pixel at the given row and column.

Keys: 2ndDRAW▶︎4

In Horiz mode, Pxl-On(30,94) lights the bottom-right pixel of the graph half.

Pxl-Off(

Pxl-Off(row,column)

Turns off the graph pixel at the given row and column.

Keys: 2ndDRAW▶︎5

Pxl-Change(

Pxl-Change(row,column)

Toggles the graph pixel at the given row and column: on becomes off, off becomes on.

Keys: 2ndDRAW▶︎6

pxl-Test(

pxl-Test(row,column)

Returns 1 if the graph pixel at the given row and column is on, or 0 if it is off.

Keys: 2ndDRAW▶︎7

Tutorial

Use pixel instructions in Horiz mode

▶ Try this step-by-step on the online TI-84 Plus — keys light up as you go

Horiz mode is on. Start from a clear graph with 2ndDRAW 1 (ClrDraw), then press ENTER.
2ndDRAW1ENTER
Open the DRAW POINTS menu: 2ndDRAW then ▶︎. Choose 4:Pxl-On(.
2ndDRAW▶︎4
Finish with 30,94) — the largest row and column allowed in Horiz mode — and press ENTER.
30,94)ENTER

Tutorial

See the pixel limit in G-T mode

In G-T mode the graph is only 47 columns wide, so column 47 does not exist.

▶ Try this step-by-step on the online TI-84 Plus — keys light up as you go

Turn on the last allowed pixel, row 50 and column 46.
2ndDRAW▶︎450,46)ENTER
Now try column 47, which is outside the left half. The calculator reports an error.
2ndDRAW▶︎450,47)ENTER

DRAW Menu Text( Instructionp. 142

Text( writes small-font text on the graph. In split-screen modes the position is limited like this:

In Horiz mode, row must be ≤ 25 and column must be ≤ 94.
In G-T mode, row must be ≤ 45 and column must be ≤ 46.

Text(

Text(row,column,"text")

Writes the text on the graph screen starting at the given pixel row and column.

Keys: 2ndDRAW0

In G-T mode, Text(45,0,"HI") is the lowest line of text that fits.

PRGM I/O Menu Output( Instructionp. 142

Output( prints text at a text row and column of the home screen, so its limits are in text rows (lines) and columns, not pixels. In split-screen modes the position is limited like this:

In Horiz mode, row must be ≤ 4 and column must be ≤ 16.
In G-T mode, row must be ≤ 8 and column must be ≤ 16.

Output(

Output(row,column,"text")

Displays text starting at the given row and column. It can only be used inside a program.

Keys: PRGM▶︎6

Note Output( can only be used within a program, not typed on the home screen.

Setting a Split-Screen Mode from the Home Screen or a Programp. 142

You can set Horiz or G-T from inside a program. Put the cursor on a blank line of the program editor, press MODE, and choose Horiz or G-T. The instruction is pasted at the cursor instead of changing the mode right away. The mode is set when the program reaches that line, and it stays set after the program ends.

Note You can also paste Horiz or G-T onto the home screen or into the program editor from the CATALOG (see Chapter 15).

Tutorial

Paste Horiz into a program

You will create a new program called SPLIT, paste the Horiz instruction into it, and run it.

▶ Try this step-by-step on the online TI-84 Plus — keys light up as you go

Open the PRGM menu and move right twice to the NEW tab.
PRGM▶︎▶︎
Choose 1:Create New. The calculator asks for a name.
ENTER
Type the name SPLIT (the cursor is already in alpha mode) and press ENTER. You land in the program editor on a blank line.
ALPHASALPHAPALPHALALPHAIALPHATENTER
Press MODE. In a program, the MODE screen pastes instructions instead of changing the setting. Move down seven lines to the Full/Horiz/G-T line, move right onto Horiz and press ENTER.
MODE▼︎▼︎▼︎▼︎▼︎▼︎▼︎▶︎ENTER
Quit to the home screen with 2ndQUIT.
2ndQUIT
Open the PRGM menu and press 1 to paste prgmSPLIT (it is the first program in the list), then press ENTER to run it.
PRGM1ENTER
The program has set Horiz mode, and the setting stays. Check it: row 31 does not exist on a Horiz graph, so Pxl-On(31,0) is now an error.
2ndDRAW▶︎431,0)ENTER