thurs, 12/9/10 swbat… graph lines on a ti-83 agenda 1. wu - (5 min) 2. graphing calculator...
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Thurs, 12/9/10
SWBAT… graph lines on a TI-83 Agenda
1. WU - (5 min)
2. Graphing calculator activity (40 min)
Warm-Up:
If you know how to graph lines on the TI-83, work on the worksheet on your desk.
Fri, 12/10/10
SWBAT…compute slope Agenda
1. Chalk Talk (5 min)
2. Notes on slope (40 min)
Warm-Up:
1. Place the “parent functions” in your toolkit
2. Set-up Cornell Notes – Topic is “slope”
3. Think of any word(s) that you associate with “slope” HW #1: Slopes of lines (front & back)
What do you call this function?
Answer: Absolute valuefunction
2 4 6–2–4–6 x
2
4
6
–2
–4
–6
y
What do you call this function?
2 4 6–2–4–6 x
2
4
6
–2
–4
–6
y
y = 3
Answer: Constant function
Francisco
What do you call this function?
Answer: Identity function
2 4 6–2–4–6 x
2
4
6
–2
–4
–6
y
y=x
Emmanuel 77% missed
Friday, 12/10
Slope
Progress report grades due
Monday, 12/13 Tuesday, 12/14 Wednesday, 12/15 Thursday, 12/16 Friday, 12/17
Interpreting slope and intercepts
Writing equationsof lines in slopeintercept form
(y=mx+b)
Graphing linearfunctions usingy=mx+b
Graphing linearfunctions usingy=mx+b
Writing equationsof lines in slopeinterceptform
Winter Assembly
Monday, 12/20 Tuesday, 12/21 Wednesday, 12/22 Thursday, 12/23 Friday, 12/24
Winter Break!
Monday, 12/27 Tuesday, 12/28 Wednesday, 12/29 Thursday, 12/30 Friday, 12/31
Winter Break!
Monday, 1/3 Tuesday, 1/4 Wednesday, 1/5 Thursday, 1/6 Friday, 1/7
Point slope form &Standard form
Point slope form &Standard form
All 3 forms of lines1. Slope-intercept2. Point-slope 3. Standard
Parallel and perpendicular lines
Parallel and perpendicular
lines
Monday, 1/10 Tuesday, 1/11 Wednesday, 1/12 Thursday, 1/13 Friday, 1/14
Scantron TESTING
Infinity teachers project
Infinity teachers project
Final review Final review
Monday, 1/17 Tuesday, 1/18 Wednesday, 1/19 Thursday, 1/20 Friday, 1/21
MLKNO CLASSES
ALGEBRA FINALMultiple Choice
(evens–2nd)
ALGEBRA FINAL Extended Response
(evens–2nd)
Finals – odds Finals – odds
Monday, 1/24 Tuesday, 1/25 Wednesday, 1/26 Thursday, 1/27 Friday, 1/28
EXPLORE TESTING
END OF Q2/S1NO CLASSES
New unit - what will we be learning
Slope Graphing lines
Slope-intercept form y = mx + b Point slope form (y – y1) = m(x = x1) Standard forms Ax + By = C
Writing equations of lines Slope-intercept form y = mx + b Point slope form (y – y1) = m(x = x1) Standard forms Ax + By = C
Parallel and perpendicular lines Lines of fit
How do engineers build bridges?How do engineers build bridges?
How do engineers build roads?How do engineers build roads?
How do builders build roofs?How do builders build roofs?
How can we write 7% as a fraction?How can we write 7% as a fraction?
7% as a fraction??7% as a fraction??
• Remember than any percent is a part of 100.
77%
100
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
Slope of a line (m)Slope of a line (m)
• To find the slope, use the formula
4
4
risem
run (elevacion)
(desplazamiento)
Slope of a line (m)Slope of a line (m)
• To find the slope, use the formula
4
441
4m
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
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
Slope of a line (m)Slope of a line (m)
• Is the slope positive or negative?
Answer:
Positive, read from left to right
Try for yourselfTry for yourself
• Using the graph paper squares, draw lines with the following slopes.
• Start anywhere on your coordinate plane.
• A) B)
• Label your lines with their slopes• Glue the graphs in your note book
1
2m
3
4m
1
2m
3
4m
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
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
Try for yourselfTry for yourself
• Using the graph paper squares, draw lines with the following slopes.
• Start anywhere on your coordinate plane.
• C) D)
• Glue the graphs in your note book
1
4m
5
6m
1
4m
5
6m
Your turnYour turn
““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
Find the slope of the line that passes Find the slope of the line that passes through (1, 0) and (-1, -1).through (1, 0) and (-1, -1).
Question
(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)).
1
2m
What the graph looks like
What is the slope of this line?What is the slope of this line?
x y
0 2
2 1
4 0
6 -1
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
Practice ProblemPractice Problem
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)