Using the TI-84 Plus Graphing Calculator in Middle School ...

Using the TI-84 Plus Graphing Calculator in Middle School Mathematics Aldine ISD March 27, 2010

Shelley Bolen-Abbott Region 4 Education Service Center

sbolenabbott@ 713.744.6521



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To darken/lighten screen Press y} to darken. Press y to lighten.

TI-83/84 Quick Start Guide

Commonly used buttons ? is used for = ? is the negative sign > is used for exponents. 23 is typed as ?>? yz allows you to exit from the current application/window. z allows settings to be adjusted.

To enter functions in calculator Press o.

r along with | and ~ allows you to move along a graph. To set viewing window

Press p

Press ,, for the variable.

Set the appropriate window. Ymax

Xmin

Xmax

Checklist when graphing

1. Enter data in ... or function in o. 2. Set appropriate viewing window. 3. Turn off unnecessary Stat Plots or Functions.

4. Press s.

Common errors

Ymin

Press 1 to Quit or 2 to see the error.

To enter data in lists ...

To perform statistical operations on lists ... ~

?

? Then choose the list name from y... or choose y and ???? or ?.

To clear lists, arrow up to the list name, press ` then ?.

(A common error is a Dim Mismatch. If this occurs, make sure the same number of data values are in each list.

To graph data in lists Press yo

Press ?

mean sum of x-values sum of x2-values sample stand. dev. pop. stand. dev.

number of data points.

The arrow indicates there is more on the next screen. Press several times to see more data.

Press ?.

minimum 1st quartile

median 3rd quartile

maximum

Turn the plot ON, then use the arrows to choose the appropriate graph and source of data (choose

the list names from y...).

Set the viewing window by pressing q9 ?

Resources:

Graphing Calculator Tutorial (math) Graphing Calculator Lessons (education.) Graphing Calculator Emulator ()

Name _______________________

Date __________________ Period ________

Graphing Calculator Scavenger Hunt

By Lois Coles

1. Press 2nd + ENTER What is the ID# of your calculator? ______________

2. For help, what website can you visit? _______________

3. What happens to the screen when you push 2nd over and over? 2nd over and over? ________________________________________________

4. is called the "caret" button, and is used to raise a number to a power. Find 65 = ______. To square a number use x2 What is 562? _______ To cube a number, press MATH and select option 3. What is 363? ___________

5. Press 2nd Y= to access the STAT PLOTS menu, how many stat plots are there? _____ Which option turns the stat plots off? ________________

6. Press STAT . Which option will sort data in ascending order? What do you think will happen if option 3 is selected? __________________________________

7. What letter of the alphabet is located above ? _______________

8. To get the calculator to solve the following problem 2{3 + 10/2 + 62 ? (4 + 2)}, what do you do to get the { and } ? _________________The answer to the problem is __________.

9. To solve a problem involving the area and/or circumference of a circle, you will need to use . Where is this calculator key? _______________________

10. Use your calculator to answer the following: 2 x 41.587 ________ 2578/4 _________ 369 + 578 _________

Now press 2nd ENTER two times. What pops up on your screen? ___________ Arrow over and change the 4 to a 2. What answer do you get? ________ How will this feature be helpful? _____________________________________

11. What happens when the 10x and 6 keys are pressed? ___________

12. The STO

button

stores

numbers

to

variables.

To

evaluate

the

expression

2a 4

3b c

,

press

9 STO ALPHA MATH ENTER to store the number 9 to A. Repeat this same process if B = 2

and C = 1, then evaluate the expression by typing in the expression

2a 3b 4 c

and pressing

ENTER. Is it faster just to substitute the values into the expression and solve the old-

fashioned way with paper and pencil? _______

When might this feature come in handy?________________________________________



13. Press 2nd 0 to access the calculator's catalogue. Scroll up, to access symbols. What is the first symbol? _____________ What is the last symbol? _______________

14. Press 2nd 0 to access the calculator's catalogue. An AA appears in the top right corner of the screen. This means the calculator is in alphabetical mode. Press ) . What is the 5th entry in the L's? What do these letters stand for? _____________

15. Press MATH, what do you think the first entry will do? _____________________ Now press CLEAR , then press 0 . 5 6 MATH and select option 1. What answer do you get? ___________

16. Press 4 MATH, choose option 5, then press 1 6 and ENTER . What did this option do? _________________________________________________________

17. Which function allows you to send/receive data/programs? __________________

18. Press Y= type in 2x ? 1. Press ZOOM then select 6, press MODE, arrow to the bottom and arrow over to G-T and press ENTER. Now press GRAPH. What appears on the screen? _____________________________________________ Press MODE and scroll down to Full and press ENTER to restore to full screen.

19. Press 5 9 ENTER. Press 2 to go to the error. The cursor should be blinking on

the second /, press DEL ENTER. What answer did you get? To convert this number to a fraction, press MATH ENTER

20. Enter this problem into the calculator and press ENTER. 2.4 x 3.7 = _______. Now press MODE Float to 0 and press ENTER. Now press 2nd Quit to return to the home screen and press 2nd ENTER and the original problem should appear on the screen, now press ENTER. What appears on the screen? ____________ Think about this number in relation to the answer you got before. What did the calculator do? _________________________________ Repeat this same process except select 2 under the Float option. Return to the home screen, recall the original problem and press ENTER. What number appears on the screen? _______ What did the calculator do this time? _____________________

21. Enter (-2)2 into the calculator, what answer did you get? ___________Now enter ?22 into the calculator, what answer did you get this time? ________Why do you think you got two different answers? ______________________________Would (-2)3 and ?23 give you two different answers? Why or why not?________________________________



"Power"ful Patterns

Use your calculator to complete the table below.

Repeated Multiplication Using the

Multiplication Sign

Expression

Value

3

=

3 x 3

=

3 x 3 x 3

=

3 x 3 x 3 x 3

=

3 x 3 x 3 x 3 x 3

=

3 x 3 x 3 x 3 x 3 x 3

=

3 x 3 x 3 x 3 x 3 x 3 x 3

=

3 x 3 x 3 x 3 x 3 x 3 x 3 x 3

=

3x3x3x3x3x3x3x3x3 =

What patterns do you see in the table?

Repeated Multiplication with ^

Enter: (base) ^ (exponent) e

Base

Exponent

Value

3

^

1

=

3

^

2

=

3

^

3

=

3

^

4

=

3

^

5

=

3

^

6

=

3

^

7

=

3

^

8

=

3

^

9

=

Pick another whole number and complete the table below.

Repeated Multiplication Using the Multiplication Sign

Expression ___

Value

=

___ x ___

=

___ x ___ x ___

=

___ x ___ x ___ x ___

=

___ x ___ x ___ x ___ x ___

=

___ x ___ x ___ x ___ x ___ x ___

=

___ x ___ x ___ x ___ x ___ x ___ x ___

=

___ x ___ x ___ x ___ x ___ x ___ x ___ x ___

=

___ x ___ x ___ x ___ x ___ x ___ x ___ x ___x___ =

What patterns do you see in the table?

Repeated Multiplication with ^

Enter: (base) ^ (exponent) e

Base

Exponent

Value

___ ^ 1

=

___ ^ 2

=

___ ^ 3

=

___ ^ 4

=

___ ^ 5

=

___ ^ 6

=

___ ^ 7

=

___ ^ 8

=

___ ^ 9

=

Adapted from "Power"ful Patterns-Texas Instruments

"Power"ful Observations and Questions 1. What would the calculator do if you entered 4 ^ 2 e? How would you find the value of 4 ^ 2 without a calculator? 2. What is the calculator doing when you enter: (base) ^ (exponent) e? 3. How would you define the base? 4. How would you define the exponent? 5. If you do not have a calculator, 4 ^ 2 is written as 42. How would you write 5 ^ 3? Label the base and the exponent. 6. Without using a calculator, find the value of 24 .

Adapted from "Power"ful Patterns-Texas Instruments

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