Transcript TI 84 Graphing Calculator Project Example

TI 84 Graphing Calculator
Project Example
Simple Sailboat
Hand Drawing
Writing Equations
LINEAR FUNCTIONS
y = mx + b
m = slope
Slope Method 1:
Slope Method 2:
y2  y1
x2  x1
rise
run
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
Parent Function:
y = x2
Open downward:
y = -x2
Shift up 5 units:
y = -x2 + 5
Shift right 4 units:
y = - (x-4)2 + 5
And Open wider:
y = - 0.5(x-4)2 + 5
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:
ALPHA, :
X,T,θ,n
:1:DrawF x+9/(x≥-9 and x≤0)
2nd, DRAW, 6:DrawF
2nd, TEST, 4: ≥
2nd, TEST, →,1:and
ENTER
2nd, TEST, 6: ≤
Now You Are Ready to Enter
Your Programming Code:
ALPHA, :
X,T,θ,n
:2:DrawF -x+9/(x≥0 and x≤9)
2nd, DRAW, 6:DrawF
2nd, TEST, 4: ≥
2nd, TEST, →,1:and
ENTER
2nd, TEST, 6: ≤
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:
2
0.3(x+10) –6/(x≥-13
:1:DrawF
and x≤-7.6)
ENTER
Now You Are Ready to Enter
Your Programming Code:
2
0.3(x+5) –6/(x≥-7.6
:2:DrawF
and x≤-2.5)
ENTER
Now You Are Ready to Enter
Your Programming Code:
2
0.3(x+10) –6/(x≥-13
:1:DrawF
and x≤-7.6)
2
0.3(x+5) –6/(x≥-7.6
:2:DrawF
and x≤-2.5)
Now You Are Ready to Enter
Your Programming Code:
:3:DrawF
2
0.3x –6/(x≥-2.5
x≤2.5)
ENTER
and
Now You Are Ready to Enter
Your Programming Code:
2
0.3(x-5) –6/(x≥2.5
:4:DrawF
and x≤7.2)
ENTER
Now You Are Ready to Enter
Your Programming Code:
:5:DrawF
2
0.3(x-10) –6/(x≥7.2
and x≤13)
ENTER
Now You Are Ready to Enter
Your Programming Code:
:3:DrawF
2
0.3x –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)
2nd, DRAW, 2:Line
ENTER
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.