Trick or Treat, SLOPE My Feet… 8.4 C
Pumpkin Patch
increase
decrease
stay constant
…it’s complicated
For each situation below, fill in the blank with a word or phrase from the Pumpkin Patch. You can only use
each word or phrase once. Then, answer the 2 questions that follow.
Mariana collects 50 pieces of candy while trick
or treating. Each day, she eats 5 pieces of
candy. How many pieces of candy will she have
left after x days?
Leonardo owes his brother 20 pieces of candy
from last year and has to pay him back. This
year, he receives 5 pieces of candy from each
house he visits. How many pieces of candy will
Leonardo end up with if he visits x houses?
Over time, the amount of candy Mariana has
Over time, the amount of candy Leonardo has
will: decrease
will: Increase
What integer represents
how much candy
Mariana starts with?
.
What integer represents
the change in the
amount of candy
Mariana has?
50
-5
What integer represents
how much candy
Leonardo starts with?
-20
.
What integer represents
the change in the
amount of candy
Leonardo has?
5
David got 15 pieces of candy at school, but he is
too sad to eat it. His dragon costume came out
looking more like a frog, and he has decided to
not go trick or treating. 
How many pieces of
candy will David have if he stays sad for x hours?
Sammy has a magic bag. Each time she reaches
in, she can pull out any amount of candy, which
DEFIES THE LAWS OF PHYSICS!
How many pieces of candy will Sammy pull
out of her bag if she reaches in x times?
Over time, the amount of candy David has
Over time, the amount of candy Sammy has
will: stay constant
will: it’s complicated
What integer represents
how much candy David
starts with?
15
.
What integer represents
the change in the
amount of candy David
has?
0
Lesson developed by Eric Ortmann, 2014-2015.
What integer represents
how much candy Sammy
starts with?
.
What integer represents
the change in the
amount of candy Sammy
has?
…Give Me Something Good to Eat – Like an Apple!
1) Given the equation, y = mx + b:
a) Which variable represents the slope?
b) Which variable represents the y‐
intercept?
m
b
c) Describe what the slope of a line
represents.
d) Describe what the y‐intercept of a line
represents.
rate of change
where the line crosses the y axis
2) STOP!!!
a) Create your orange foldable with your 4 matching cards. Each of your matching cards is
identical to the situations on the front of this activity. Use the information you’ve identified
in these situations to match the situation to the type of slope that you think best describes
it. The four types of slope are:
 Positive Slope
 Negative Slope
 Zero Slope
 Undefined Slope
b) Use the information already given to you in the foldable to guide you. When your group
agrees on all 4 answers, glue your cards into the foldable.
c) For each situation,
 What is the value of m?
 What is the value of b? Label these on your foldable.
 Write the appropriate equation using your values for m and for b.
 Fill in the missing words that describe each type of slope.
Witch Types of Slope Do You Know?
Type of Slope
Draw It
Your Own Example Situation
Examples will vary. The
Positive
amount of breaths I’ll take in
my lifetime.
The number of days remaining
Negative
this month.
The number of hours per day
Zero
of the week.
An elevator going up and
Undefined
down has an undefined slope.
pieces of candy from last year
and has to pay him back. This
year, he receives 5 pieces of
candy from each house he
visits. How many pieces of
candy will Leonardo end up
with if he visits x houses?
Situation:
m= 5
b = -20
Situation:
Situation:
m = -5 b = 50
m=0
Equation:
Equation:
y = 5x – 20
Positive Slope:
The output is
increasing.
As x increases,
y increases .
y = 50 – 5x
Negative Slope:
The output is
decreasing.
As x increases,
y decreases .
Situation:
b =15
Equation:
m=
b=
Equation:
y = 15
Zero Slope
(aka no slope):
The output is
constant.
Even if x changes,
y stays the same.
Undefined Slope:
The output is
infinite.
As x changes, y has
many
values.
Pos ve
Negative
Zer
Undef e