Grade 7
Data Analysis
Name____Answer key________
Story: Your closet consists of the following items: 1 red shirt, 1 blue shirt, 1 yellow shirt, 1 pair
of jeans, 1 pair of khaki pants, 1 pair of sneakers, 1 pair of sandals, and 1 pair of dress shoes.
1. Draw a model that represents all possible combinations, assuming everything matches and
you wear 1 shirt, 1 pair of pants, and 1 pair of shoes. How many combinations are
possible?
Fundamental Counting Principal
Combinations
Number of shirts
Number of jeans/pants
Number of “shoes”
A tree diagram could also be used.
Grade 7
Name____Answer key________
Data Analysis
Determine the probability of wearing a yellow shirt with sandals?
P(yellow shirt and sandals) = P(yellow shirt) times P (sandals)
1
1
=� � � � =
3
3
1
9
What does your probability tell you about randomly choosing outfits for 30 days?
𝟏
Since the probability of wearing a yellow shirt and sandals is , I would expect to wear a
𝟏
𝟏
𝟗
yellow shirt and sandals 3 times in 30 days ( 𝒕𝒊𝒎𝒆𝒔 𝟑𝟎 ). This means I would expect to
𝟑
𝟗
wear a yellow shirt and sandals 3 times during a 30 day period.
Grade 7
Data Analysis
Name____Answer key________
Scoring Guide
Question 1
Question 2
Explanation
0
1
• Student’s model • Student’s model
does not relate to
makes sense, but
situation.
leads to incorrect
number of
• Student does not
outcomes.
determine
correct number
of outcomes.
• Student does not • Student
determine
determines correct
correct
probability, based
probability.
on incorrect work
in #1.
• Student does not • Student tries to
attempt to
connect
connect
probability to 30
probability to 30
days, but their
days.
explanation is
invalid.
• No or poorly
written
• Explanation is
explanation.
written well, but
not connected to
math.
2
• Student’s model
is accurate.
• Student
determines the
correct number
of outcomes.
• Student
calculates the
correct
probability.
• Student explains
connection
between
probability and
30 days of
random outfits.
• Explanation is
well written and
connected to
math.