The home screen is the primary screen of the TI. On Home Screen this screen, enter instructions to execute and expressions to evaluate. The answers are displayed on the same screen. Page Entering Expressions And Instructions An expression is a group of numbers, variables, functions and their arguments, or a combination of these elements. An expression evaluates to a single answer.
On the TI. For example, pR You can use an expression on the home screen to calculate an answer. Page 33 A function returns a value. For example, Functions are the functions in the example on page 1.
In general, the first letter of each function is lowercase on the TI. Most functions take at least one argument, as indicated by an open parenthesis requires one argument, An instruction initiates an action. Page Ti. All numbers, including elements of matrices and lists, are displayed according to the current mode settings.
Page 36 However, the number can have one, two, or three digits before the decimal; and the power-of exponent is a multiple of three, as in Note: If you select 10 digits or the absolute value is less than.
Float, Float the sign and decimal. Radian display in radians. Degree display in degrees. Func, Par, Pol, Graphing modes define the graphing parameters. Chapters 3, 4, 5, and 6 describe these modes in detail.
Page 38 Note: Regardless of which graphing mode is selected, the TI. Page Using Ti. Page Storing Variable Values 4. If you entered an expression, it is evaluated.
The value is stored to the variable. Variable Value Operating the TI VARS and then the name of the variable or function. When you press a key or key combination to display a menu, one Menu or more menu names appear on the top line of the screen. The menu name on the left side of the top line is highlighted. Page 46 Selecting an Item You can select an item from a menu in either of two ways. Note: On the menus, only items you can select them by pressing the appropriate number key.
Page Vars And Vars Y. EOS lets you enter numbers and functions in a simple, straightforward sequence. EOS evaluates the functions in an expression in this order: Within a priority level, EOS evaluates functions from left to right. Page 49 To enter a negative number, use the negation key. Functions in the first level, such as squaring, are evaluated before negation.
If you select the home screen is displayed. Read the chapter for details. Suppose you want to model flipping a fair coin 10 times. You want to track how many of those 10 coin flips result in heads. You want to perform this simulation 40 times. If you use two lists in the Math Operations same expression, they must be the same length.
Page 54 ] is stored as a constant on the TI You can use numbers, expressions, lists, and matrices. If the answer cannot be simplified or the resulting denominator is more than three digits, the decimal equivalent is returned. Page 56 cube returns the cube of value. Page 57 function integral returns the numerical integral expression variable lower Math, Angle, and Test Operations is valid only for real nDeriv value[ , the TI can return a is valid only for real fnInt upper[ tolerance] fnInt Xres window variable The equation is assumed to be equal to zero.
When you select The equation editor see step 1 picture below is displayed when the equation variable The interactive solver editor see step 3 picture on page 2.
Page 59 3. Page 60 3. Enter an initial guess for the variable for which you are solving. This is optional, but it may help find the solution more quickly. Also, for equations with multiple roots, the TI will attempt to display the solution that is closest to your guess. The default guess is calculated as Math, Angle, and Test Operations , follow these steps. Page 61 4. The default is 5. To Solution for control that process, enter bounds that are relatively close to the solution and enter an initial guess within those Solver or solve bounds.
Page 64 iPart , iPart fPart or complex numbers, expressions, lists, and matrices. Page 65 min , min valueB or the smallest element in list. If listA and listB are max compared, elements. If list and value are compared, each element in list with value.
If listA and listB are compared, elements. Page Entering And Using Complex Numbers To select a complex-number mode, press z, and then select either of the two modes. Also, complex numbers are valid list elements. Real unless you entered a complex number as input. Page 67 Interpreting Complex numbers in results, including list elements, are displayed in either rectangular or polar form, as specified Complex Results by the mode setting or by a display conversion instruction page 2. In the example below, are set.
Rectangular- Rectangular-complex mode recognizes and displays a complex number in the form Complex Mode component, Page 69 angle angle of complex numbers, calculated as tan the imaginary part and a is the real part.
With each random-number sequence for a given seed value. The TI factory-set seed value for random-number sequence, store any nonzero seed value to. To restore the factory-set seed value, store rand or reset the defaults Chapter Page 71 nPr, permutations of items taken number at a time. Both items and number can be lists. Page 72 randInt randInt integer within a range specified by lower and upper integer bounds. If the angle mode is not set to the TI can interpret the argument as degrees, minutes, and seconds.
Page 74 radians designates an angle or list of angles as radians, Radians regardless of the current angle mode setting. The mode setting must be answer to be interpreted as degrees, minutes, and seconds. The TI performs. The TI performs On the TI, you can define one function in terms of another.
Chapters 4, 5, and 6 describe aspects that are unique to parametric graphing, polar graphing, and sequence graphing. The TI has four graphing modes. Func Other mode settings affect graphing results. Chapter 1 describes each mode setting. Float displayed graph coordinates. Page Defining Functions Defining Functions Displaying To display the functions to the function variables Functions in the You can graph one or more defined functions at once.
Editing a 1. Page 82 3. Select the function name, which pastes the name to the 5. When the instruction is executed, the TI stores the expression to the designated variable function, and displays the message Page Selecting And Deselecting Functions Selecting and You can select and deselect turn on and turn off a function in the Deselecting a sign is highlighted.
The TI graphs only the selected Function functions. You can select any or all functions , and To select or deselect a function in the these steps. Page 84 Selecting and To select or deselect a function from the home screen or a program, begin on a blank line and follow these steps. Deselecting Functions from 1. Edit the value, which can be an expression.
If you entered an expression, the TI evaluates it. The new value is stored. Note: , and Xmin Page 88 5. Select the window variable to which you want to store a 6. When the instruction is executed, the TI stores the value to the window variable and displays the value.
X and Y Format settings apply to all graphing modes. Page 90 CoordOn, CoordOn at the bottom of the graph. If CoordOff the function number is displayed in the top-right corner.
CoordOff number or coordinates. Grid points cover the viewing window in rows that GridOff, GridOn correspond to the tick marks page 3. Page Displaying Graphs If you performed any of these actions since the graph was last displayed, the TI will replot the graph based on new values when you press s.
Changed a mode setting that affects graphs Page 92 Overlaying On the TI, you can graph one or more new functions without replotting existing functions. For example, store Functions on a Graph sin X cos X graphed on top of If you enter a list Chapter 11 as an element in an When you first display the Cursor graph, no cursor is visible.
To begin a trace, press r. If Trace the graph is not displayed already, press r to display it. The trace cursor is on the first selected function in the editor, at the middle coordinates are displayed at the bottom of the screen if CoordOn Page 95 Moving the Trace To move the trace cursor to any valid current function, enter the value.
When you enter the first Cursor to Any Valid X Value digit, an displayed in the bottom-left corner of the screen. You can enter an expression at the valid for the current viewing window. Page 97 2. Select 3. Move the zoom cursor to the point that is to be the 4.
The TI adjusts the viewing window by 5. Zoom in on the graph again in either of two ways. To zoom out on a graph, select steps 3 through 5.
Page 98 ZStandard ZStandard window variables to the standard values shown below. Those preset values in are shown below. They define the magnification or reduction factor used to Checking XFact To display the review the current values for and YFact 4:SetFactors shown are the defaults.
Page zero zero solve value; The time depends on the accuracy of the values you specify for the left and right bounds and the accuracy of your guess. To find a zero of a function, follow these steps. Select 2. Select the function and set left bound, right bound, and The cursor is on the solution, and the coordinates are displayed, even if you have selected Minimum corner.
Graph the parametric equation that describes the path of a ball hit at an initial speed of 30 meters per second, at an initial angle of 25 degrees with the horizontal from ground level.
Page The horizontal component vector is defined by 6. Press 7. Chapter 4 details aspects of parametric graphing that differ from function graphing. Page Equations either of two ways. Two components, equation. You must define both of them. Selecting and The TI graphs only the selected parametric equations. In the Deselecting Parametric signs of both the You may select any or all of the equations When you press s, the TI plots the selected Displaying a parametric equations.
It evaluates the Graph for each value of Tstep window variables define the viewing window. Page Moving the Trace To move the trace cursor to any valid current function, enter the number. When you enter the Cursor to Any Valid T Value first digit, a displayed in the bottom-left corner of the screen.
Chapter 5 details aspects of polar graphing that differ from function graphing. Page The TI graphs only the selected polar equations. In the Selecting and Deselecting Polar highlighted.
You may select any or all of the equations. When you press s, the TI plots the selected polar Displaying a Graph equations. It evaluates qmax window variables define the viewing window.
A small forest of 4, trees is under a new forestry plan. Each year 20 percent of the trees will be harvested and 1, new trees will be planted. Will the forest eventually disappear? Will the forest size stabilize? If so, in how many years and with how many trees? Page Defining And Displaying Sequence Graphs Sequence graphs automatically plot in regardless of the current plotting-order mode setting.
Page Chapter 3. Graph styles are ignored in Selecting and The TI graphs only the selected sequence functions. In Deselecting Sequence signs of both Functions Page Defining and To define or edit a sequence function, follow the steps in Chapter 3 for defining a function.
The independent variable Editing a Sequence in a sequence is Function in either of two ways. You can enter the function name from the keyboard. Generally, sequences are either nonrecursive or recursive. Page For example, in the sequence below you cannot calculate u 5 Using an initial value returns Tip: On the TI, you must type each character of the terms.
For example, to enter Recursive sequences require an initial value or values, since they reference undefined terms. Page To display the window variables, press p. These Setting Window variables define the viewing window. The values below are Variables defaults for modes. Page Selecting Axes Combinations See page 6.
You can evaluate these names in any of three ways. Press y [ 3. Press p and set the variables as shown below. To select a vw, and uw phase-plot axes setting, press y [ the cursor is on Axes Setting Use the predator-prey model to determine the regional Example: populations of a predator and its prey that would maintain Predator-Prey Page 2. Press s to graph the sequence. Page Comparing Ti And Ti.
Variables TI. Changes TI. Only functions that are selected in the Dependent editor are displayed in the table. The current graphing Variables from mode is used.
To edit a selected Editing Dependent Independent and The current graphing mode determines which independent and dependent variables are displayed in the table Dependent Chapter 1. Page Scrolling Indpnt: Auto independent-variable column to display more values. As Independent- Variable Values you scroll the column, the corresponding dependent- variable values also are displayed.
All dependent-variable values may not be displayed if Note: You can scroll back from the value entered for scroll, line of the table. Before you begin, select mode from the mode screen, if necessary. ClrDraw DrawInv graphs. Page Clearing Drawings Clearing Drawings Clearing All points, lines, and shading drawn on a graph with instructions are temporary.
Drawings When a Graph Is To clear drawings from the currently displayed graph, Displayed select is replotted and displayed with no drawn elements. Clearing To clear drawings on a graph from the home screen or a program, begin on a blank line on the home screen or in Drawings from Segment Directly on a Graph 1.
Directly on a Graph 1. Select line is displayed that moves as you move the cursor. Place the cursor on the y-coordinate for horizontal lines or x-coordinate for vertical lines through which you want the drawn line to pass.
Page Vertical an expression but not a list. Select on a Graph 2. Shade the current graph and shades the area that is specifically above lowerfunc and below upperfunc. Page Drawing Circles Drawing Circles Drawing a Circle To draw a circle directly on a displayed graph using the cursor, follow these steps. Place the cursor at the center of the circle you want to draw. Place the cursor where you want the text to begin. Enter the characters.
You may enter TI functions, variables, and instructions. The font is proportional, so the exact number of characters you can place on the graph varies.
You cannot execute from the home screen or a program. Draw on a Graph To draw on a displayed graph, follow these steps. Page Erasing Points To erase turn off a drawn point on a graph, follow these steps. Move the cursor to the point you want to erase. To continue erasing points, repeat steps 2 and 3. To cancel Pt. Off To change toggle on or off a point on a graph, follow Changing Points The instructions let you turn on, turn off, or reverse a pixel dot on the graph using the cursor.
When you select a pixel instruction from the returns to the home screen or the program editor. The picture and graph database instructions are not interactive. The variable is pasted next to menu Chapter The variable is pasted next to variable. The variable is pasted next to. The new graph is not plotted. The TI from memory, use the menu Chapter Page Using Split Screen If you press y [ the half in which the table is displayed.
The TI will remain in split-screen mode until you change back to horizontal to display the graph screen and The top half displays the graph.
The bottom half displays any of these editors. Home screen four lines Stat list editor two rows Window editor three settings Table editor two rows To use the top half of the split screen: Moving from Half The left half displays the graph.
The right half displays the table. On Menu Pixel Instructions Pxl. On the TI, you can solve a system of linear equations by entering the coefficients as elements in a matrix, and then using 1. A matrix is a two-dimensional array. You can display, define, or edit a matrix in the matrix editor.
The TI has 10 matrix variables, matrix directly in an expression. A matrix, depending on available memory, may have up to 99 rows or columns. Elements In a new matrix, all values are zero. Select the matrix from the accept the dimensions. Page Viewing a Matrix The matrix editor has two contexts, viewing and editing. In viewing context, you can use the cursor keys to move quickly from one matrix element to the next. The full value of the highlighted element is displayed on the bottom line.
Select the matrix from the enter or accept the dimensions. Page Editing a Matrix In editing context, an edit cursor is active on the bottom line. To edit a matrix element value, follow these steps.
Element 1. Select the matrix from the 2. Ellipses in the left or right column indicate additional columns. To copy a matrix, follow these steps. Each of the functions below creates a new matrix; the original matrix remains the same.
Page abs abs containing the absolute value of each element of matrix. If decimals is omitted, the elements are rounded to 10 digits. The determinant cannot equal zero. Page Relational To compare two matrices using the relational operations Operations element basis.
The other relational operations are not valid with matrices. The elements in the old matrixname that are within the new dimensions are not changed. Additional created elements are zeros. Matrix elements that are outside the new dimensions are deleted. Page augment augment matrixA and matrixB both must have the same number of rows. Likewise, extra matrix columns.
Matr4list Matr4list column in matrix. To fill a list with a specific column from matrix, you must enter column after matrix. Page cumSum cumSum matrix, starting with the first element. Each element is the cumulative sum of the column from top to bottom. Row operations do not change matrix in memory. You can enter all row numbers and values as expressions. Page rowSwap rowSwap matrix. Then display the results in fraction form. Begin this example on a blank line on the home screen.
Page Naming Lists You also can create a list name in these four places. The list names through through through when you reset memory. Use the stat list editor Chapter The maximum dimension of a list is elements. Tip: When you store a complex number to a list, the entire list is converted to a list of complex numbers. Page Copying One List To copy a list, store it to another list. You can store to any element within the Element current list dimension or one element beyond.
When executed, the Formula to a List attached formula must resolve to a list. Name When anything in the attached formula changes, the list to which the formula is attached is updated automatically. Page Note: When you include more than one list name in a formula, each list must have the same dimension. Press y, and then enter a TI list name through Press y [ ] and select a user. Enter the list elements directly step 1 on page Use y [ expression at the cursor location Chapter 1.
Complex lists are sorted based on magnitude modulus. With one list, listname and update the list in memory. Page Using dim to dim of list. Find List Dimensions dim Using dim to You can use dimension length from 1 to The elements are zeros. Create a List length Using dim to You can use listname to dimension length from 1 to Redimension a List length Page seq seq result of the evaluation of expression with regard to variable for the values ranging from begin to end at steps of increment.
Page Before Using Before using Select 1. Create two list names and enter the data. Turn on a stat plot, select 3. Points from a 1.
Page 6. A the left bound. The x-values and y-values of the selected points are stored in xlistname and ylistname. Page augment augment list elements can be real or complex numbers. If the dimensions of all lists are not equal, then each extra matrixname row with valid. List4matr concatenates the elements of listA and listB.
The listA listB lists stored to matrix fills matrixname column Page Generally, you enter a user-created list name where other input is valid, for example, on the home screen. Without the TI may misinterpret a user-created list name as implied multiplication of two or more characters.
If two lists are compared, it returns a list of the smaller or larger of each pair of elements in listA and listB. Page sum , prod sum start and end are optional; they specify a range of elements. A group of students is attempting to determine the mathematical relationship between the length of a pendulum and its period one complete swing of a pendulum.
Press pendulum string length 6. Repeat this step to enter each of the 12 string length values in the table on page Page Since the scatter plot of time-versus-length data appears to be approximately linear, fit a line to the data. VARS secondary menu, and then Page The regression line appears to fit the central portion of the scatter plot well. However, a residual plot may provide more information about this fit. Press … to select list editor is displayed. Page Page The residual pattern indicates a curvature associated with this data set for which the linear model did not account.
The residual plot emphasizes a downward curvature, so a model that curves down with the data would be more accurate. Perhaps a function such as square root would fit. Note: Step 19 defined plot 2 to plot residuals versus string length Page Now that you have a good model for the relationship between length and period, you can use the model to predict the period for a given string length.
To predict the periods for a pendulum with string lengths of 20 cm and 50 cm, continue with these steps. The TI has Store Data six list variables in memory, can store data for statistical calculations. Also, you can store data to list names that you create Chapter Name in the Stat 1. Display the List Editor two ways. Note: If list names are stored to all 20 columns, you must remove a list name to make room for an unnamed column.
Page Creating a Name To create a name in the stat list editor, follow these steps. Follow step 1 on page Press [letter from A to Z or q ] to enter the first letter of 3.
Page To edit a list element, follow these steps. Editing a List Element 1. Move the rectangular cursor onto the element you want 2. Edit the element in the entry line. Page When a list with a formula attached is displayed in the stat list editor and you edit or enter elements of another displayed list, then the TI takes slightly longer to accept each edit or entry than when no lists with formulas attached are in view.
Page Detaching Formulas From List Names As described above, one way to detach a formula from a Element of a list name is to edit an element of the list to which the formula is attached. The TI protects against Formula- inadvertently detaching the formula from the list name by Generated List editing an element of the formula-generated list. Contexts View-elements context View-names context The stat list editor is first displayed in view-elements context.
To switch through the four contexts, select from the 1. You are now in view-names context. An ellipsis 12 characters. Page View-Names In view-names context, the entry line displays the list name and the list elements. Remaining lists shift to the left one column. The list is not deleted from memory.
To insert a name in the current column, press y [ Remaining columns shift to the right one column. Page SetUpEditor With display one or more listnames in the order that you specify. You can specify zero to 20 listnames. SetUpEditor SetUpEditor names from the stat list editor and then stores listnames in the stat list editor columns in the specified order, beginning in column If you enter a listname that is not stored in memory already, then listname is created and stored in memory; Page Regression Model Features Equation the specified Regardless of whether you specify a the regression equation always is stored to the TI variable secondary menu.
Note: For the regression equation, you can use the fixed-decimal mode setting to control the number of digits stored after the decimal point Chapter 1. Page Diagnostics When you execute some regression models, the TI computes and stores diagnostics values for Display Mode coefficient and coefficient of determination. By default, these values are not displayed with the results of a regression model when you execute it.
Page Stat Calc Menu Each element in freqlist indicates how many times the corresponding data point or data pair occurs in the data set you are analyzing. Page 1-Var Stats 1. Var Stats measured variable. Each element in freqlist is the frequency of occurrence for each corresponding data point in Xlistname. Var Stats 2-Var Stats 2. Var Stats Xlistname is the independent variable. Ylistname is the dependent variable. At least four points are required. Page PwrReg PwrReg the data using a least-squares fit and transformed values ln x and ln y.
Page SinReg Example: Compute the regression model for the number of hours of daylight in Alaska during one year. Daylight Hours in Alaska for One Year With noisy data, you will achieve better convergence results when you specify an accurate estimate for period.
You can obtain a period guess in either of two ways. Page Statistical Variables Statistical Variables The statistical variables are calculated and stored as indicated below. Then select the 5:Statistics menu. If you edit a list or change the type of analysis, all statistical VARS variables are cleared. You can enter Data statistical data into lists directly within the program Chapter To perform a statistical calculation from a program, follow Statistical these steps.
The six types of plots available are scatter plot, xyLine, histogram, Statistical Data in modified box plot, regular box plot, and normal probability Lists plot. You can define up to three plots. To plot statistical data in lists, follow these steps. Page If the plotted setting. Data Axis If you select , the TI plots the data on the x-axis and the z-values on the y-axis.
If you select , the TI plots the data on the y-axis and the z-values on the x-axis. Page Defining the To define a plot, follow these steps. Plots 1. Press y [ 2. Select the plot you want to use. The stat plot editor is 3.
Select the type of plot. Each type prompts for the 5. Page Displaying Other Each stat plot has a unique stat plot editor. We are here to help with distance learning resources for schools and districts. See our latest posts. News Center Contact TI. Manage preferences Agree and Proceed. Control your cookie preferences You can control your preferences for how we use cookies to collect and use information while you're on TI websites by adjusting the status of these categories.
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