TI 84 Graphing Calculator Project Example

Simple Sailboat

Hand Drawing

Writing Equations

LINEAR FUNCTIONS

run

rise

y = mx + b

m = slope

Slope Method 1: Slope Method 2:

12

12

xx

yy

y = y-intercept

Method 1: extend the line to the y-axis

Method 2: pick a point on the line (x, y). Substitute into y = mx + b and solve for “b”.

Writing Equations

QUADRATIC FUNCTIONS

y = x2 Parent Function:

y = -x2 Open downward:

y = -x2 + 5 Shift up 5 units:

y = - (x-4)2 + 5 Shift right 4 units:

y = - 0.5(x-4)2 + 5 And Open wider:

Writing Equations

Writing Equations

Writing Equations

Start and Name a New Program:

1. Press PRGM button

2. Arrow right twice to NEW

3. Enter

4. You are now in alpha mode

Start and Name a New Program:

5. Name your program:

6. Use your first 3 initial of your last name followed by the first 3 initial of your first name

7. Example: John Smith will name his program SMIJOH

Initial Program Setup:

8. Press: 2nd, DRAW, 1:ClrDraw, ENTER

9. Press: ZOOM, 5:ZSquare, ENTER

Initial Program Setup:

10. .

11. Press: 2nd, FORMAT, arrow down 3 & right once to AxesOff, ENTER, ENTER

Initial Program Setup:

12. Press: 2nd, STATPLOT, 4:PlotsOff, ENTER

13. Press: VARS, arrow right once to Y-VARS, 4:On/Off, 2:FnOff, ENTER

Now You Are Ready to Enter Your Programming Code:

14. 2nd, DRAW, 6:DrawF is used to enter all functions.

15. Example:

Now You Are Ready to Enter Your Programming Code:

:1:DrawF x+9/(x≥-9 and x≤0)

2nd, DRAW, 6:DrawF

2nd, TEST, 4: ≥

2nd, TEST, 6: ≤

2nd, TEST, →,1:and

X,T,θ,nALPHA, :

ENTER

Now You Are Ready to Enter Your Programming Code:

:2:DrawF -x+9/(x≥0 and x≤9)

2nd, DRAW, 6:DrawF

2nd, TEST, 4: ≥

2nd, TEST, 6: ≤

2nd, TEST, →,1:and

X,T,θ,nALPHA, :

ENTER

Look At the Drawing So Far:

• Press 2nd, QUIT

• Press PRGM, EXEC, select your

program name, ENTER

Enter Edit Mode:

• Press 2nd, QUIT

• Press PRGM, →, EDIT, select your program name, ENTER

• Arrow down to where you left off.

Now You Are Ready to Enter Your Programming Code:

:3:DrawF -3x–30/(x≥-9.4 and x≤-8.3)

ENTER

Now You Are Ready to Enter Your Programming Code:

:4:DrawF 3x–30/(x≥8.3 and x≤9.4)

ENTER

Look At the Drawing So Far:

• Press 2nd, QUIT

• Press PRGM, EXEC, select your

program name, ENTER

Enter Edit Mode:

• Press 2nd, QUIT

• Press PRGM, →, EDIT, select your program name, ENTER

• Arrow down to where you left off.

Now You Are Ready to Enter Your Programming Code:

:A:DrawF 0/(x≥-9 and x≤9)

ENTER

Now You Are Ready to Enter Your Programming Code:

:B:DrawF -2/(x≥-9.3 and x≤9.3)

ENTER

Now You Are Ready to Enter Your Programming Code:

:A:DrawF 0/(x≥-9 and x≤9)

:B:DrawF -2/(x≥-9.3 and x≤9.3)

• Press 2nd, QUIT• Press PRGM, EXEC, select your program

name, ENTER

Look At the Drawing So Far:

• Press 2nd, QUIT

• Press PRGM, EXEC, select your

program name, ENTER

Enter Edit Mode:

• Press 2nd, QUIT

• Press PRGM, →, EDIT, select your program name, ENTER

• Arrow down to where you left off.

Now You Are Ready to Enter Your Programming Code:

:1:DrawF 0.3(x+10)2–6/(x≥-13 and x≤-7.6)

ENTER

Now You Are Ready to Enter Your Programming Code:

:2:DrawF 0.3(x+5)2–6/(x≥-7.6 and x≤-2.5)

ENTER

Now You Are Ready to Enter Your Programming Code:

:1:DrawF 0.3(x+10)2–6/(x≥-13 and x≤-7.6)

:2:DrawF 0.3(x+5)2–6/(x≥-7.6 and x≤-2.5)

Now You Are Ready to Enter Your Programming Code:

:3:DrawF 0.3x2–6/(x≥-2.5 and x≤2.5)

ENTER

Now You Are Ready to Enter Your Programming Code:

:4:DrawF 0.3(x-5)2–6/(x≥2.5 and x≤7.2)

ENTER

Now You Are Ready to Enter Your Programming Code:

:5:DrawF 0.3(x-10)2–6/(x≥7.2 and x≤13)

ENTER

Now You Are Ready to Enter Your Programming Code:

:3:DrawF 0.3x2–6/(x≥-2.5 and x≤2.5)

:4:DrawF 0.3(x–5)2–6/(x≥2.5 and x≤7.2)

:5:DrawF 0.3(x–10)2–6/(x≥7.2 and x≤13)

Look At the Drawing So Far:

• Press 2nd, QUIT

• Press PRGM, EXEC, select your

program name, ENTER

Enter Edit Mode:

• Press 2nd, QUIT

• Press PRGM, →, EDIT, select your program name, ENTER

• Arrow down to where you left off.

Now You Are Ready to Enter Your Programming Code:

:C:Line(-0.5,-2,-0.5,8.5)

ENTER

2nd, DRAW, 2:Line

Now You Are Ready to Enter Your Programming Code:

:D:Line(0.5,-2,0.5,8.5)

ENTER

Now You Are Ready to Enter Your Programming Code:

:E:Circle(10,6,2)

ENTER

Now You Are Ready to Enter Your Programming Code:

:C:Line(-0.5,-2,-0.5,8.5)

:D:Line(0.5,-2,0.5,8.5)

:E:Circle(10,6,2)

2nd, DRAW, 9:Circle

Look At the Drawing So Far:

• Press 2nd, QUIT

• Press PRGM, EXEC, select your

program name, ENTER

Enter Edit Mode:

• Press 2nd, QUIT

• Press PRGM, →, EDIT, select your program name, ENTER

• Arrow down to where you left off.

Now You Are Ready to Enter Your Programming Code:

:F:Shade (0/(x≥-9 and x≤-0.5), x+9 /(x≥-9 and x≤-0.5),-9,-0.5, 1,1)

ENTER

Look At the Drawing So Far:

• Press 2nd, QUIT

• Press PRGM, EXEC, select your

program name, ENTER

Enter Edit Mode:

• Press 2nd, QUIT

• Press PRGM, →, EDIT, select your program name, ENTER

• Arrow down to where you left off.

That’s It!!

• Add more if you like.

• Sailboats, for you, now carry a low originality score.

• You may NOT use this code in your project.