Content Area: Math

 

Index: 4.4C Grade 6 CPI 2

 

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

 

Strand: C - Mathematics--Systematic Listing and Counting

 

Cumulative Progress Indicator: 2 - The student will apply the multiplication principle of counting (e.g. simple situations

·        Simple situations (e.g., you can make 3 x 4 = 12 outfits using 3 shirts and 4 skirts).

·        Number of ways a specified number of items can be arranged in order (concept of permutation)

·        Number of ways of selecting a slate of officers from a class (e.g., if there are 23 students and 3 officers, the number is 23 x 22 x 21)

 

Grade: 6

 

Sample Activities:

 

·        Students determine the number of different sandwiches or hamburgers that can be created at local eateries using a combination of specific ingredients

.

·        Students understand and use the concept of permutation. They determine the number of ways any five items can be arranged in order, justify their conclusion using a tree diagram, and use factorial notation, 5!, to summarize the result.

 

·        Students find the number of possible telephone numbers with a given area code and investigate why several years ago the telephone company introduced a new area code (908) in New Jersey, and why additional area codes are being introduced in 1997. Is the situation the same with zip codes?

 

·        Students estimate and then calculate the number of possible license plates with two letters followed by three numbers followed by one letter. They investigate why the state license bureau tried to introduce license plates with seven characters and why this attempt might have been unsuccessful.