Real life application of slope_Ajay_TD

in the

Real Real WorlWorl

dd

A higher slope value indicates a steeper

incline.

SlopeSlope is commonly used to describe the measurement of the steepness of a line or incline.

The slope is defined as the ratio of the "rise" over the "run" between two points

on a line.Rise is how far up or downRun is how far

to the left or right

Rise = 2

Run = 3

When Miss Osterwise collects papers, she says, “Up and over.” That’s an easy way to remember slope!Rise means to go up (or down) and run means to go over to the right or left. Even back in 7th

grade, Miss O would say, “Up and

over!”

Slope is represented in many ways in our world.

Here the steps go down and over, matching the slant of the railing above them.

Rise = 18

Run = 20

Slope = 18 = 9 20 10

Like fractions and other ratios, slopes can be reduced to lowest terms.

Staircases are commonly used as examples for slope.

What can you say about the

slopes represented by

these staircases?

Staircases aren’t the only way we see slope in the world around us. Buildings use slope in their architecture, as well.

Describe how slope

is represente

d in this picture.

Remember how earlier we said that steep slopes were

represented by higher values?

Name an example of a part of this church that has a

high slope value.

Do you think the slope on the left side of the first building is different from the slope on the right side? Why or why not?

Here’s the same photo, but cropped so you can’t see the different lengths of the sides. The slopes are different only because two slopes slant in different directions.

Be careful not to confuse length with slant.

When a line rises from left to right we say it has a POSITIVE slope…

… but when the line drops from left to right we

say it has a NEGATIVE

slope.

How could you describe the slope of the roof of our beloved JP ?

Describe how slope is represented in each of the following photographs...

Someone didn’t pick up their chair in the cafeteria!

Find the slope of this flag pole…

9 13

Slope =

Up = 9

Over = 13

Find the slope of this part of the piano in the cafeteria.

16 3

Up = 16

Over = 3

Slope =

12 18

2 3

Find the slope of the car’s windshield.

which reduces to

Slope =

What about the slope of a horizontal line, like the arrow on this sign?

Horizontal lines always have a slope of ZERO!

We all know that division by zero is undefined.

Vertical objects have a run equal to zero, so we say that vertical lines have NO SLOPE.

Vertical lines always have no slope!

The purpose of this slideshow was to show you that the concept of slope is all

around us.

As you go through your day today, stop occasionally and notice how slope is

represented in your world.

You will now receive a handout with pictures taken around Fairport.

Use a ruler to find each slope to the nearest centimeter.