Slope in Real Life

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Slide 1:

in the Real World

Slide 2:

A higher slope value indicates a steeper incline. Slope is commonly used to describe the measurement of the steepness of a line or incline.

Slide 3:

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 down Run is how far to the left or right

Slide 4:

Rise = 2 Run = 3

Slide 5:

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 7 th grade, Miss O would say, “Up and over!”

Slide 6:

Slope is represented in many ways in our world. Here the steps go down and over, matching the slant of the railing above them.

Slide 7:

Rise = 18 Run = 20 Slope = 18 = 9 20 10 Like fractions and other ratios, slopes can be reduced to lowest terms.

Slide 8:

Staircases are commonly used as examples for slope.

Slide 9:

What can you say about the slopes represented by these staircases?

Slide 10:

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 represented in this picture.

Slide 11:

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.

Slide 12:

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?

Slide 13:

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.

Slide 14:

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.

Slide 15:

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

Slide 16:

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

Slide 17:

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

Slide 18:

Find the slope of this flag pole… 9 13 Slope = Up = 9 Over = 13

Slide 19:

Find the slope of this part of the piano in the cafeteria. 16 3 Up = 16 Over = 3 Slope =

Slide 20:

12 18 2 3 Find the slope of the car’s windshield. which reduces to Slope =

Slide 21:

What about the slope of a horizontal line, like the arrow on this sign? Horizontal lines always have a slope of ZERO !

Slide 22:

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 !

Slide 23:

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.