HOW SLOPE IS MEASURED LAB WHEN BUILDING A WAY

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How Slope is Measured Lab

How Slope is Measured Lab


When building a way to get from the first to the second floor, contractors usually don’t build a ramp-they build stairs. In carpentry, the vertical part of the step is sometimes called the riser and the horizontal part the tread. How steep the stairs are depends on the rise(height) and run(depth) of each step. Tall steps with very little depth make for very steep(and dangerous!) stairs. Short steps with a lot of depth makes for a very “gentle” stairs. As you’ll see, this way of describing steepness is closely related to how slope is defined in math.


SHOW SLOPE IS MEASURED LAB WHEN BUILDING A WAY ketch and Investigation



of point A. The rise and run were always positive.

What happens if B is below or to left of A? Complete

Table 2 to find out.

Point A

HOW SLOPE IS MEASURED LAB WHEN BUILDING A WAY

Point B

HOW SLOPE IS MEASURED LAB WHEN BUILDING A WAY

Rise

Run

Slope

(2, 1)

(4, 0)




(1, -1)

(0, 4)




(-3, 6)

(-5, -1)




(3, 5)

( , )

-3

-4




Slope =



rise =



run =



slope =



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Complete Table 3


Point A

HOW SLOPE IS MEASURED LAB WHEN BUILDING A WAY

Point B

HOW SLOPE IS MEASURED LAB WHEN BUILDING A WAY

Rise

Run

Slope

(2, 1)

(3, 1)

0

1

HOW SLOPE IS MEASURED LAB WHEN BUILDING A WAY

(1, 3)

(5, 3)




(-5, -1)

(-3, -1)




(-5, 3)

(5, 3)




What type of line was sketched each time?



What do you notice about the rise?



Looking at HOW SLOPE IS MEASURED LAB WHEN BUILDING A WAY ,HOW SLOPE IS MEASURED LAB WHEN BUILDING A WAY , what causes this to happen?



What conclusion can you make about the slope?






Complete Table 4


Point A

HOW SLOPE IS MEASURED LAB WHEN BUILDING A WAY

Point B

HOW SLOPE IS MEASURED LAB WHEN BUILDING A WAY

Rise

Run

Slope

(2, 1)

(2, 4)

3

0

HOW SLOPE IS MEASURED LAB WHEN BUILDING A WAY

(-1, 3)

(-1, 5)




(-5, -1)

(-5, 4)




(4, 3)

(4, -3)




What type of line was sketched each time?



What do you notice about the run?



Looking at HOW SLOPE IS MEASURED LAB WHEN BUILDING A WAY ,HOW SLOPE IS MEASURED LAB WHEN BUILDING A WAY , what causes this to happen?



What conclusion can you make about the slope?




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