M0024 Water Quality Project Note Final - North Slope Science
Note Note to browser’s This slope lesson is interactive Use graph paper as you follow along.
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Transcript of Note Note to browser’s This slope lesson is interactive Use graph paper as you follow along.
![Page 1: Note Note to browser’s This slope lesson is interactive Use graph paper as you follow along.](https://reader035.fdocuments.us/reader035/viewer/2022062713/56649f465503460f94c67eb7/html5/thumbnails/1.jpg)
NoteNote
• Note to browser’s
• This slope lesson is interactive
• Use graph paper as you follow along
![Page 2: Note Note to browser’s This slope lesson is interactive Use graph paper as you follow along.](https://reader035.fdocuments.us/reader035/viewer/2022062713/56649f465503460f94c67eb7/html5/thumbnails/2.jpg)
Slope Slope
![Page 3: Note Note to browser’s This slope lesson is interactive Use graph paper as you follow along.](https://reader035.fdocuments.us/reader035/viewer/2022062713/56649f465503460f94c67eb7/html5/thumbnails/3.jpg)
How do engineers build bridges?How do engineers build bridges?
![Page 4: Note Note to browser’s This slope lesson is interactive Use graph paper as you follow along.](https://reader035.fdocuments.us/reader035/viewer/2022062713/56649f465503460f94c67eb7/html5/thumbnails/4.jpg)
![Page 5: Note Note to browser’s This slope lesson is interactive Use graph paper as you follow along.](https://reader035.fdocuments.us/reader035/viewer/2022062713/56649f465503460f94c67eb7/html5/thumbnails/5.jpg)
How do engineers build roads?How do engineers build roads?
![Page 6: Note Note to browser’s This slope lesson is interactive Use graph paper as you follow along.](https://reader035.fdocuments.us/reader035/viewer/2022062713/56649f465503460f94c67eb7/html5/thumbnails/6.jpg)
How can we write 7% as a fraction?How can we write 7% as a fraction?
![Page 7: Note Note to browser’s This slope lesson is interactive Use graph paper as you follow along.](https://reader035.fdocuments.us/reader035/viewer/2022062713/56649f465503460f94c67eb7/html5/thumbnails/7.jpg)
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 of a road is the same as The grade of a road is the same as slopeslope
• Here is the picture:
7 feet
100 feet
![Page 9: Note Note to browser’s This slope lesson is interactive Use graph paper as you follow along.](https://reader035.fdocuments.us/reader035/viewer/2022062713/56649f465503460f94c67eb7/html5/thumbnails/9.jpg)
Slope of a lineSlope of a line
• The slope measures the “rise” and “run” of the stairs beneath or above the line.
4
4
![Page 10: Note Note to browser’s This slope lesson is interactive Use graph paper as you follow along.](https://reader035.fdocuments.us/reader035/viewer/2022062713/56649f465503460f94c67eb7/html5/thumbnails/10.jpg)
Slope of a lineSlope of a line
• The “stairs” are all through the line and the same size.
![Page 11: Note Note to browser’s This slope lesson is interactive Use graph paper as you follow along.](https://reader035.fdocuments.us/reader035/viewer/2022062713/56649f465503460f94c67eb7/html5/thumbnails/11.jpg)
Slope of a lineSlope of a line
• Can I make a line if the stairs aren’t the same size?
![Page 12: Note Note to browser’s This slope lesson is interactive Use graph paper as you follow along.](https://reader035.fdocuments.us/reader035/viewer/2022062713/56649f465503460f94c67eb7/html5/thumbnails/12.jpg)
Slope of a line (m)Slope of a line (m)
• To find the slope, use the formula
4
4risem
run
![Page 13: Note Note to browser’s This slope lesson is interactive Use graph paper as you follow along.](https://reader035.fdocuments.us/reader035/viewer/2022062713/56649f465503460f94c67eb7/html5/thumbnails/13.jpg)
Slope of a line (m)Slope of a line (m)
• To find the slope, use the formula
4
441
4m
![Page 14: Note Note to browser’s This slope lesson is interactive Use graph paper as you follow along.](https://reader035.fdocuments.us/reader035/viewer/2022062713/56649f465503460f94c67eb7/html5/thumbnails/14.jpg)
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
![Page 15: Note Note to browser’s This slope lesson is interactive Use graph paper as you follow along.](https://reader035.fdocuments.us/reader035/viewer/2022062713/56649f465503460f94c67eb7/html5/thumbnails/15.jpg)
Slope of a line (m)Slope of a line (m)
• Is the slope positive or negative?
Answer:
Positive, Read from left to right
![Page 16: Note Note to browser’s This slope lesson is interactive Use graph paper as you follow along.](https://reader035.fdocuments.us/reader035/viewer/2022062713/56649f465503460f94c67eb7/html5/thumbnails/16.jpg)
Try for yourselfTry for yourself
• Draw 2 lines with the following slopes on your graph paper.
• A) B)
• Start anywhere on your coordinate plane.
1
2m
3
4m
![Page 17: Note Note to browser’s This slope lesson is interactive Use graph paper as you follow along.](https://reader035.fdocuments.us/reader035/viewer/2022062713/56649f465503460f94c67eb7/html5/thumbnails/17.jpg)
1
2m
![Page 18: Note Note to browser’s This slope lesson is interactive Use graph paper as you follow along.](https://reader035.fdocuments.us/reader035/viewer/2022062713/56649f465503460f94c67eb7/html5/thumbnails/18.jpg)
3
4m
![Page 19: Note Note to browser’s This slope lesson is interactive Use graph paper as you follow along.](https://reader035.fdocuments.us/reader035/viewer/2022062713/56649f465503460f94c67eb7/html5/thumbnails/19.jpg)
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
![Page 21: Note Note to browser’s This slope lesson is interactive Use graph paper as you follow along.](https://reader035.fdocuments.us/reader035/viewer/2022062713/56649f465503460f94c67eb7/html5/thumbnails/21.jpg)
Try for yourselfTry for yourself
• Draw 2 lines with the following slopes on your graph paper.
• C) D)
• Start anywhere on your coordinate plane.
1
4m
5
6m
![Page 22: Note Note to browser’s This slope lesson is interactive Use graph paper as you follow along.](https://reader035.fdocuments.us/reader035/viewer/2022062713/56649f465503460f94c67eb7/html5/thumbnails/22.jpg)
1
4m
![Page 23: Note Note to browser’s This slope lesson is interactive Use graph paper as you follow along.](https://reader035.fdocuments.us/reader035/viewer/2022062713/56649f465503460f94c67eb7/html5/thumbnails/23.jpg)
5
6m
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CAHSEE StandardCAHSEE Standard
3.3 Graph linear functions, noting that the vertical change (change in y-value) per unit of horizontal change (change in x-value) is always the same and know that the ratio (“rise over run”) is called the slope of a graph.
![Page 25: Note Note to browser’s This slope lesson is interactive Use graph paper as you follow along.](https://reader035.fdocuments.us/reader035/viewer/2022062713/56649f465503460f94c67eb7/html5/thumbnails/25.jpg)
What do you need to do?What do you need to do?
• Identify the slope on a graph
• First find where the line goes through (intersects the grid lines)
• Draw a triangle and calculate the slope
![Page 26: Note Note to browser’s This slope lesson is interactive Use graph paper as you follow along.](https://reader035.fdocuments.us/reader035/viewer/2022062713/56649f465503460f94c67eb7/html5/thumbnails/26.jpg)
What do you need to do?What do you need to do?
• Decide if it’s a negative or positive slope
• Trace the triangle on the graph paper
• On the CAHSEE you can write on the test!
![Page 27: Note Note to browser’s This slope lesson is interactive Use graph paper as you follow along.](https://reader035.fdocuments.us/reader035/viewer/2022062713/56649f465503460f94c67eb7/html5/thumbnails/27.jpg)
What do you need to do?What do you need to do?
• Use the formula
• Rise is negative 1• Run is 2
risem
run
1
2m
![Page 28: Note Note to browser’s This slope lesson is interactive Use graph paper as you follow along.](https://reader035.fdocuments.us/reader035/viewer/2022062713/56649f465503460f94c67eb7/html5/thumbnails/28.jpg)
Now it’s your turnNow it’s your turn
• Identify the slope on each line.
• First make points where the line intersects the grid
• Then calculate the slope
• If you finish early, then also identify where the line crosses the y-axis.
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Released Question from CAHSEEReleased Question from CAHSEE
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Released Question from CAHSEEReleased Question from CAHSEE
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