Content Area: Math

 

Index: 4.4C Grade 6 CPI 3

 

Standard: 4.4 - Data Analysis, Probability, and Discrete Mathematics

 

Strand: C - Mathematics--Systematic Listing and Counting

 

Cumulative Progress Indicator: 3 - The student will list the possible combinations of two elements chosen from a given set (e.g., forming a committee of two from a group of 12 students, finding how many handshakes there will be among ten people if everyone shakes each other person’s hand once).

 

Grade: 6

 

Sample Activities:

 

·        Students find the number of ways of asking three different students in the class to write three homework problems on the blackboard.

 

Sample Assessment Question:

 

·        Five classmates greet each other with a handshake so that each person shakes the hand of every other person once and only once.  Graph the network of handshakes using the vertices of the graph to represent each person, and the edges to represent the handshakes.  How many distinct handshakes were made?  If 2 more classmates join the group, and follow the same rule for handshaking, how many handshakes would then be possible?  Explain clearly how you arrived at this answer.