Teaching Demo related materials

1. in the
RealReal

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

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

4. Rise = 2
Run = 3

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

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.

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

8. Staircases are commonly used as examples
for slope.

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

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.

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.

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?

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.

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.

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

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

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

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

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

20. 12
18
2
3
Find the slope of the car’s windshield.
which
reduces
to
Slope =

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

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!

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.