What is the meaning of this sign?

 

 


http://teachers.henrico.k12.va.us/math/hcpsalgebra1/module6-1.html

1. Icy Road Ahead

2. Steep Road Ahead

3. Curvy Road Ahead

4. Trucks Entering Hihway Ahead

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http://learn2driveeasy.com/images/signs/steep-hill-ahead.jpg

What does the 12% mean?

Explain in vertical v.s. horizontal.

 

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Definition of Slope

The slope m of a line is the ratio of the change in the y-coordinates to the corresponding change in the x-coordinates.

Slope can be expressed  as:

m = (y2-y1)/(x2-x1), or

m = vertical change/horizontal change, or,

m = rise/run,


 

 

 


 

 

 

 

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Determine which graph has a positive slope? which graph has a negative slope?
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Determine the slope of the line.

http://teachers.henrico.k12.va.us/math/hcpsalgebra1/module6-1.html (Notes: finding slope)
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Determine the slope of the line that passes through (-1, 5) and  (4, -2).
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Find the slope of the line with equation 2x - 5y = 4.
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Draw a line through the point (2,0) that has a slope of 3.

Hint:

1.  Graph the ordered pair (2, 0).
2.  From (2, 0), apply rise over run (write 3 as a fraction).
3.  Plot a point at this location.
4.  Draw a straight line through the points.

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The Slope of a line that goes through the points (10, r), and (3, 4) is - 2/7.  Find r.
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Real World Application (1)
Using building codes for steps, the ideal ratio of riser to tread is 0.7 where the riser is the rise of the stip and the tread is the run of the step.
 
Using the picture below, measure the riser and tread of three consecutive steps.  Use your ruler to measure the riser and tread in millimeters and then compute the slope of each step.
 
 

http://teachers.henrico.k12.va.us/math/hcpsalgebra1/module6-1.html (Public Access)

 

Riser (mm)

Tread (mm)

% Slope

Legal?

Step #1

 

 

 

 

Step #2

 

 

 

 

Step #3

 

 

 

 

Step average

 

 

 

 
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Real World Application (2)

Legally, handicap ramps cannot rise more than 1 inch for every 12 inches of run.

Using the picture below, put two points on the ramp and make a right triange by constructing the rise and run.  Use your ruler to measure the rise and run and compute the slope of each ramp.  Pick two different points on the ramp and repeat.

 

 


http://teachers.henrico.k12.va.us/math/hcpsalgebra1/module6-1.html (PublicAccess)

 

Rise (mm)

Run (mm)

% Slope

Legal?

First try

 

 

 

 

Second try

 

 

 

 

Ramp average

 

 

 

 
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