Slope

Section
5.3a
–
Slope

MPM1D

Jensen







Investigation





Slope:
A
measurement
of
the
steepness
of
a
line.





The
following
diagrams
represent
ski
hills.







C


A
B



















1.
Rank
the
hills
in
order
of
their
steepness,
from
least
to
greatest.






i.
________

ii.
________

iii.
_________

















2.
A
hill
rises
2
meters
over
a
horizontal
run
of
8
meters.
A
second
hill
rises
4
meters
over
a
horizontal

run
of
10
meters.
Which
is
the
steeper
hill?











3.
Describe
your
method
for
determining
steepness:








, Part
1:
How
do
we
find
the
slope
of
a
line?



The
steepness
of
a
line
segment
is
measured
by
its
________________.
The
slope
is
the
ratio
of
the

____________________
to
the
_____________________
and
is
often
represented
by
the
letter
_______
.



You
should
maybe
be
starting
to
make
a
connection;
what
else
did
we
use
the
letter
𝑚
to
represent?





_________________:
the
vertical
distance
between
two
points




(∆𝑦)





_________________:
the
horizontal
distance
between
two
points


(∆𝑥)








𝒓𝒊𝒔𝒆 ∆𝒚
𝑺𝒍𝒐𝒑𝒆 = 𝒎 =        𝒐𝒓

𝒓𝒖𝒏 ∆𝒙








When
determining
the
rise
and
run
of
a
line
from
its
graph
you
must
know
that:



Counting
units
in
the
upward
direction
gives
a
_________________
rise

Counting
units
in
the
downward
direction
gives
a
________________
rise





Counting
units
to
the
right
gives
a
__________________________
run

Counting
units
to
the
left
gives
a
___________________________
run



Example
1:
Count
the
units
on
the
grid
to
determine
the
rise
and
run.









rise

=
___________



run
=
____________





What’s
the
slope
of
this
line?