HOME SCREEN CALCULATIONS

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1 TI-84 Graphing Calculator for Beginners Fan Disher, NBCT Mandeville High School AP Calculus & Precalculus Teacher T 3 Regional Instructor Algebra II LA Comp. Curriculum Writer fan.disher@stpsb.org HOME SCREEN CALCULATIONS Mode Settings MATH VARS Recalling Last Entry or Answer: To recall ENTRY or ANSWER with new 2.5 Operating System, simply cursor up and press ENTER. This recall feature is the basis of iteration on the calculator. Enter an initial amount and ENTER. Then press an operator (+, X., /, etc.) and the last ANS will come up. Complete the formula you want to iterate and press ENTER. Continue to press ENTER. parenthesis ( ) grouping, multiplication Ex. 2((4 + 5)^2)=162 braces { } lists Ex. {1, 2, 3} brackets [ ] matrices Ex. [A] APPS: Catalog Help (CtlgHelp) From catalog and function menus, press [+] key to display on line function help. TI-84 Graphing Calculators for Beginners 1 Fan Disher

2 GRAPHING STAT PLOT TBSET FORMAT CALC TABLE Y= WINDOW ZOOM TRACE GRAPH TI-84 Graphing Calculators for Beginners 2 Fan Disher

3 GRAPHING STAT PLOT TBSET FORMAT CALC TABLE Y= WINDOW ZOOM TRACE GRAPH $ then type in the value (using with the cursor < > is inaccurate because of the limited # of pixels) VARS Menu: You can evaluate a function from the home screen using VARS: (Ex. f(x) = x Find f(2)). First enter the function in Y= and go back to the home screen. Then press VARS, [Y VARS], [1:Function], [1:Y 1 ], and type the number 2 in parenthesis. TI-84 Graphing Calculators for Beginners 3 Fan Disher

4 TABLE STAT PLOT TBSET FORMAT CALC TABLE Y= WINDOW ZOOM TRACE GRAPH You can evaluate a function using the table by setting then Independent value in Table Setup: First enter the function in Y=. (Ex. f(x) 2 = +3. x Find f(2)) 1. See all values with [AUTO] 2. See one value at a time with [ASK] Press to Test: Lock the calculator to make all programs and Applications unusable for a test. 1. Turn off calculator 2. Press ON, Ï å at the same time and follow directions on the screen. 3. Unlock by linking to another calculator. Steps to Link Calculators: 1. Plug link tightly into both calculators. 2. Receiving calculator should press: 2 nd {LINK} (above STAT ), RECEIVE. 3. Sending calculator should press: 2 nd {LINK} (above STAT ), SEND. 4. To unlock calculator, send any file or list. TI-84 Graphing Calculators for Beginners 4 Fan Disher

5 LISTS AND BEST FIT LINES 1) Plotting Data a) Clearing Lists i) To clear lists manually, press S > 1:Edit > move cursor : up to the list name > C > e ii) To clear one at a time, press S > 4:ClrList > ` > 1 [L 1 ] iii) To clear all lists, press ` > + [MEM] > 4:ClrAllLists e iv) To reset all lists, press S > 5:Setup Editor e v) Naming Lists (Move cursor up to list name > ` > d [INS] > a to rename list. To dump data from a previous list into the named list, move cursor : up to list name > ` > 1 [L1] (or whatever list contains the data) > e b) Inputting data into lists i) To input data manually, press S > 1:Edit and enter data ii) OR use CBR Motion Detector or other probe such as Easy Temp to collect data. c) Creating Scatter Plot i) Press! and clear all equations and turn off all plots. ii) Press ` >! [STAT PLOT] > 1:Plot 1> turn ON, choose scatter plot à. Determine which list contains the independent and dependant variables and the type of Mark to use. iii) Adjust window and enter the range of data OR press # >9:ZoomStat Fan Disher 3 Potpourri of TI 84 Calculator Skills

6 2) Analyzing Data a) Slope i) Create a rate of change (slope) list using ` > S [LIST] > OPS > 7: List (L2)/ List (L1) ii) To find the average rate of change (slope), on the home screen press ` > S [LIST] > MATH > 3:mean( > (L3) b) Best Fit Line i) Manipulating equation by hand by entering average slope in! and one of the points in form y = m(x x 1 ) + y 1 and adjust values to fit ii) To use manual fit option, press S > CALC > 0:Manual Fit> e. Move the cursor to a starting point and press e. Move the cursor right and up to make a best fit line e. Change the values of the slope and y intercept for a better fit. iii) To let the calculator calculate a linear regression, press S > CALC > 4:LinReg (ax + b) > ` 1 [L1],,, ` 2 [L2], v > Y_VARS > 1:Function > 1:Y 1 > e. This gives you the equation and the correlation coefficient. If the r 2 is not displayed, press ` 0 > DiagnosticOn > e Simple Directions to enter data on a TI 84 and find regression equation and correlation coefficient. 1. Clear Lists STAT, 1:Edit, Cursor up to L1, CLEAR, ENTER 2. to enter the data STAT, 1:Edit, enter data into L 1 and L 2 3. to set up the plot of the data 2 nd,stat PLOT, 1:PLOT1, ENTER On Type: scatter Xlist: L 1 Ylist: L 2 Mark (any) 4. to locate the scatter plot ZOOM, 9: ZoomStat on the graph screen 1. to turn on correlation coefficient CATALOG DiagnosticON ENTER 2. to find the exponential regression and STAT, CALC, 0:ExpReg L 1, L 2, y 1 paste it into the y 1 equation Fan Disher 4 Potpourri of TI 84 Calculator Skills

7 3) Predicting Outcomes Interpolating and Extrapolating a) To trace on graph to evaluate a value, press $, : to move to the line of best fit instead of the scatter plot. Use < or > or type in a value. You can only trace to values in the window; so to extrapolate, you will have to change the window. b) To use the table to evaluate a value, press ç. Change the independent variable to Ask. Press ` % ê and input the value, e. c) To use function notation f(x) on the home screen to evaluate a value, press v > Y_VARS > 1:Function > 1:Y 1 > ( > value > ) > e. To evaluate several values at the same time, in the place for the value, press ` ( >values separated by a comma, > ` ) ). Scroll right > to see all the answers. Fan Disher 5 Potpourri of TI 84 Calculator Skills

8 Sample Data Problem: The average height in inches of United States children from ages 7 to 15 is given: Age (yrs.) Height (in.) Analysis: 1. What is the slope of the line? (Round answer 3 places behind decimal and include units.) In a complete sentence, explain the real-world meaning of this slope. 2. What is the y-intercept? (Round answer 3 places behind decimal and include units.) In a complete sentence, explain the real world meaning for the y intercept. Is this reasonable? 3. What is a reasonable domain and range? Explain why you chose these and include units. 4. Interpolate to find the average height of a 9½-year-old child. (Express answer in inches and change to approximate feet and inches.) Is it feasible to use this model to find this answer? Explain. 5. Extrapolate to find the height of a 25 year old. (Express answer in inches and change to approximate feet and inches rounding to the nearest ½ inch.) Is it feasible to use this model to find this answer? Explain. 6. Use the model to determine the average age of a child who is 55 in. tall. (Express answer in years and months.) Is it feasible to use this model to find this answer? Explain. 7. Discuss the correlation coefficient and if this is a good regression. Extension: Add 16, 17, and 18 years old to L 1 and 64 inches every year. Find new regression equation and paste in y 2. Discuss how the outliers affect the equation and the validity of this new model. Answers (1) The slope of the line is in/yr., which means that an average US child grows approximately 2 inches in one year. (2) The y-intercept is inches, which means when an average baby is born, his/her length is 33 inches. This is high since most babies are around inches when born. (3) A reasonable domain is 0 years to 20 years because this is the time of life when you are growing. A reasonable range is 8 inches to 72 inches because premature babies may be this length and average people are below 6 feet may be this height. (Answers may vary.) (4) The average height of a 9½ year-old child is which is approximately 4 5. This is reasonable because it is between the heights at 9 and 10 years old. (5) The height of a 35 year old would be inches or approximately 8 9. This is not feasible because you stop growing at some point in time. (6) The average age of a child who is 55 inches tall is 10 years and 7 months. This is feasible because the height is between 9 and 10 years old. Extension: The child stops growing and the outliers affect the model making it unreliable for the ages Only 94% of the points lie in a small band about the regression line as opposed for 99% in the first equation. Fan Disher 6 Potpourri of TI 84 Calculator Skills

9 TI-84 Plus OS update v. 2.53MP New Feature Highlights MathPrint TM and More! Available on February 15, Note: Please also update to Catalog Help v1.1 if you update to 2.53MP. There is no functionality update to Catalog Help but version 1.1 is needed to run on 2.53MP. Version Number 2.53MP Notice the new message to access shortcut menus for access to new features and old favorites when you turn ON your calculator or reset! Note: Most of the features in the new shortcut menus are available in the MATH MATH and MATH NUM menus. NEW second screen in MODE Second Screen: MATHPRINT CLASSIC Choose to use MathPrint (default) or to use the enhanced Classic mode which is the familiar TI-84 Plus interface with enhancements of scrolling history on the home screen and fraction math! n/d U n/d - selection of fraction output as improper or mixed numbers. GOTO FORMAT GRAPH: Selecting YES jumps from the MODE screen to the FORMAT screen. This shortcut was put on the mode screen after feedback that many teachers were not aware of the 2 nd FORMAT screen. Pressing MODE will return to MODE from the FORMAT screen. NEW second MODE screen! STAT DIAGNOSTIC ON OFF - Quickly select the existing option of displaying r and r 2 when calculating statistical regressions. This is a shortcut to an existing feature for ease of use. SET CLOCK was on the first mode screen in the previous OS. No change was made to CLOCK. TI-84 Plus OS update v. 2.53MP Comments to margo.mankus@ti.com 1 of 8

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