Gold Seal Lesson:
Picnic Lunch

Copernicus Education Gateway

 

Subject:

Mathematics

Grade:

 

 

5-8

 

 

ICLE Standards:

 

 

Probability - Model situations by constructing a sample space to determine probabilities.

 

 

Performance Task:

 

 

For the class picnic, the school cafeteria prepared a box lunch for each student, consisting of a sandwich and a cookie. The sandwiches were tuna, bologna, or peanut butter; the cookies were sugar or chocolate chip.

  1. How many different combinations of one sandwich and one cookie are possible?

  2. Kim, Marla, and Juan are three students in the class. If each combination were equally likely to be in any one of the boxes, what is the probability that:

  1. Kim's lunch had a peanut butter sandwich and a sugar cookie?

  2. Marla's lunch had a bologna sandwich?

  3. Juan's lunch did not have a tuna sandwich?

 

 

Knowledge / Skills:

 

 

Perform operations with signed (positive and negative) numbers, including decimals, ratios, percents, and fractions.  (m1)

Understand the characteristic differences between theoretical and empirical probability (e.g., the theoretic probability of rolling a six an a die is 1/6; empirical probability is derived from repeated experimentation or accumulated statistics).  (m20)

Determine the probability of single and compound events using the basic premise that the probability of an event is equal to the number of ways it can occur divided by the total number of outcomes.  (m25)

 

 

Rubric:

 

 

4 Points  =  The student analyzes the problem showing that the basic sample space for all possible lunches is 6 and that the probability of getting any one of the possible combinations if 1/6. Answers to a, b, and c show that the student has an understanding of the probability of simple events.

 

 

3 Points  =  The student is unable to determine the number of possible lunches in the sample space, but shows an understanding of the probability of simple events.

 

 

2 Points  =  The student analyzes the problem showing that the basic sample space for all possible lunches is 6, but is unable to use the concept of the probability of simple events.

 

 

1 Point  =  The student demonstrates faulty analysis, is unable to determine the sample space, and is unable to use the concept of the probability of simple events.

 

 

Keywords:

 

 

STATISTICS
PROBABILITY
PROBLEM SOLVING
COMPUTATION
MATH IN DAILY LIFE

 

 

Grades:

 

 

Kg [] - 1 [] - 2 [] - 3 [] - 4 [] - 5 [X] - 6 [X] - 7 [X] - 8 [X] - 9 [] - 10 [] - 11 [] - 12 []

 

 

ICLE Application:

 

 

D

 

 

 

 

 

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