HRSB, 2009 TI-83, TI-83 + Technology Integration DAY 1 Data Management.
SWBAT… graph lines on a TI-83 Agenda 1. Warm-Up (5 min) 2. TI-83 Graphing Calculator Activity (40...
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Transcript of SWBAT… graph lines on a TI-83 Agenda 1. Warm-Up (5 min) 2. TI-83 Graphing Calculator Activity (40...
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SWBAT… graph lines on a TI-83
Agenda 1. Warm-Up (5 min)2. TI-83 Graphing Calculator Activity (40 min)
Warm-Up: 1. Write the hw in your planners for the week
HW: Get Ready for Ch 4 & Review PPT1: x-and y-intercepts (on Infinity website)
Mon, 1/10
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Graphing Calculator Activity
1. You will be working in pairs
2. Each pair will be given one graphing calculator
3. Write the # of your calculator on your sheet and both names
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SWBAT… calculate slope given equations, tables or graphs
Agenda 1. Chalk Talk WU (10 min)2. Notes on slope (30 min)
Warm-Up: 1. Set up Cornell Notes. The topic is “Slope”2. Write down ≥ 3 words that you associate
with slope (doesn’t have to be math related)
HW#1: Slope
Tues, 1/11
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CHALK TALK: One table at a time comes to the board
and writes one word that they associate with “slope.”
When that table is in their seats, the next table comes to the board, etc.
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How do you feel about slope?
1 = No clue
2 = So-so/not too bad (I’m OK, but I need practice)
3 = Great!
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How do engineers build bridges?How do engineers build bridges?
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How do engineers build roads?How do engineers build roads?
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How do builders build roofs?How do builders build roofs?
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How can we write 7% as a fraction?How can we write 7% as a fraction?
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7% as a fraction??7% as a fraction??
• Remember than any percent is a part of 100.
77%
100
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The grade or incline of a road is the The grade or incline of a road is the same as slopesame as slope
• Here is the picture:
7 feet
100 feet
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Slope of a line (m)Slope of a line (m)
• To find the slope, use the formula
4
4
risem
run (elevacion)
(desplazamiento)
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Slope of a line (m)Slope of a line (m)
• To find the slope, use the formula
4
441
4m
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Slope of a line (m)Slope of a line (m)
• Find the slope of the following lines:
3
2m
1
2A) B)
2
3
risem
run
1
2m
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Why do we use Why do we use mm for slope? for slope?
• Possibly because m comes from the French word “monter”, which means to climb
• The earliest textbooks used m, and everyone else just copied it
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Slope of a line (m)Slope of a line (m)
• Is the slope positive or negative?
Answer:
Positive, read from left to right
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Try for yourselfTry for yourself
• Using a graph paper square, place a point anywhere where the grid lines intersect.
• Draw lines with the following slopes.
• A) B)
• Label your lines with the slope!!!!• Glue the graphs in your note book
1
2m
3
4m
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1
2m
x
y
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3
4m
y
x
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Slope of a line (m)Slope of a line (m)
• The last 2 lines had a positive slope, let’s look at slopes with negative slopes
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Slope of a line (m)Slope of a line (m)
• We still use rise over run, except the “stairs” are underneath the line.
3
-2
2
3m
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Try for yourselfTry for yourself
• Using the graph paper squares, draw lines with the following slopes.
• Start anywhere on your coordinate plane.
• C) D)
• Label your lines with the slope!!!!• Glue the graphs in your note book
1
4m
5
6m
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1
4m
y
x
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5
6m
y
x
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““Official” Definition of SlopeOfficial” Definition of Slope
Slope is the change in the vertical distance (rise) over the change in the horizontal distance (run)
Pendiente: Razon del cambio en la coordenada y (elevacion) al cambio correspondiente en la coordenada x (desplazamiento) a medida que uno se mueve de un punto a otra en una recta.
12
12
xx
yy
x
y
run
risemslope
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12
12
xx
yym
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Example 1:Example 1:
Find the slope of the line that passes Find the slope of the line that passes through (-3, -2) and (1, 0).through (-3, -2) and (1, 0).
(x(x11, y, y11)) (x(x22, y, y22))
Plot these two points. Connect the line (don’t Plot these two points. Connect the line (don’t forget arrows).forget arrows).
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1
2m
What the graph looks like
x
y
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Find the slope of the line that passes Find the slope of the line that passes through (2, 1) and (3, 3).through (2, 1) and (3, 3).
Example 2
(x(x11, y, y11)) (x(x22, y, y22))
(To see the slope visually… Plot these points. (To see the slope visually… Plot these points. Connect the line (don’t forget arrows).Connect the line (don’t forget arrows).
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2
1m
What the graph looks likey
x
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Example 3
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WARM-UPWARM-UPWhat is the slope of this line?What is the slope of this line?
x y
0 2
2 1
4 0
6 -1
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1.) A horizontal lines passes through (2, 5). What other point does the line contain?
1. (2,3) 2. (0,5) 3. (5,10) 4. (0,2)
2.) Find the slope of the line.
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Horizontal lines have a slope of Horizontal lines have a slope of ______ Vertical lines have a slope of Vertical lines have a slope of ______
HorizontalVertical
m = 0
m = undefined
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How do you feel about slope now?How do you feel about slope now?
1 = No clue
2 = So-so/not too bad (I still need a little more practice)
3 = Grrrrrrrrreat!
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QUIZ (10 min)QUIZ (10 min)1.) Find the slope of the line that passes Find the slope of the line that passes
through (12, 10) and (-2, 66).through (12, 10) and (-2, 66).
2.) What is the slope of the line x = 3.2.) What is the slope of the line x = 3.
3.) Horizontal lines have a slope of ___.3.) Horizontal lines have a slope of ___.
Extra Credit:Find the value of r so the line that passes through each pair of point has the given slope.(12, 10), (-2, r), m = -4