Educational games and methods

Abstract

Students practice addition, subtraction, multiplication, division, and other math operations involving real numbers while have fun playing card and dice games. The card games are played with a deck of cards comprising at least two sets of playing cards. Each playing face of each playing card of each set displays an integer within the range of −M to M which is different from all the other integers displayed on all the other playing faces of the playing cards of the respective set. M is an integer equal to or greater than 10. The dice set comprises two numerical dice bearing positive numbers, two numerical dice bearing negative numbers, and at least one operator die bearing indicia representing a plurality of mathematical operations.

1 . A deck comprising sets of playing cards, where: 
 (a) the sets of playing cards consist of a first set of playing cards and a second set of playing cards;    (b) each set comprises 2M+1 playing cards;    (c) each playing card of each set comprises a playing face and a rear face;    (d) each playing face of each playing card of the first set displays an integer within the range of −M to M which is different from all the other integers displayed on all the other playing faces of the playing cards of the first set;    (e) each playing face of each playing card of the second set displays an integer within the range of −M to M which is different from all the other integers displayed on all the other playing faces of the playing cards of the second set; and    (f) M is an integer at least equal to 10.    
   
   
       2 . The deck of  claim 1  where M equals 12.  
   
   
       3 . The deck of  claim 1  where M equals 13.  
   
   
       4 . (canceled)  
   
   
       5 . A dice game apparatus comprising at least a first numerical die having N 1  faces, where 
 (a) N 1  is an integer at least equal to 10; and    (b) each face of the first numerical die bears a different first integer within the range of −1 to −N 1 .    
   
   
       6 - 16 . (canceled)  
   
   
       17 . A deck of playing card comprising at least a first set of playing cards and a second set of playing cards, where: 
 (a) each set comprises M+1 playing cards;    (b) each playing card of each set comprises a playing face and a rear face;    (c) each playing face of each playing card of the first set displays an integer within the range of 0 to M which is different from all the other integers displayed on all the other playing faces of the playing cards of the first set;    (d) each playing face of each playing card of the second set displays an integer within the range of 0 to M which is different from all the other integers displayed on all the other playing faces of the playing cards of the second set; and    (e) M is an integer at least equal to 10.    
   
   
       18 . The deck of  claim 17  further comprising a third set of playing cards and a fourth set of playing cards, where: 
 (f) each playing face of each playing card of the third set displays an integer within the range of 0 to M which is different from all the other integers displayed on all the other playing faces of the playing cards of the third set; and    (g) each playing face of each playing card of the fourth set displays an integer within the range of 0 to M which is different from all the other integers displayed on all the other playing faces of the playing cards of the fourth set.    
   
   
       19 . The deck of  claim 18  where M equals 12.  
   
   
       20 . (canceled)  
   
   
       21 . The deck of  claim 1  where the graphics for the integer displayed on each playing face of each playing card of the first set consist of at least one representation of the Arabic numeral for the displayed integer and the graphics for the integer displayed on each playing face of each playing card of the second set consist of at least one representation of the Arabic numeral for the displayed integer.  
   
   
       22 . The deck of  claim 1  where the graphics displayed on each playing face of each playing card of the first set consist of at least one representation of the Arabic numeral for the displayed integer and the graphics displayed on each playing face of each playing card of the second set consist of at least one representation of the Arabic numeral for the displayed integer.  
   
   
       23 . The deck of  claim 21  where M equals 12.  
   
   
       24 . The deck of  claim 21  where M equals 13.  
   
   
       25 . The deck of  claim 17  where the integers displayed on the playing faces of the playing cards of the first set consist of integers within the range of 0 to M and the integers displayed on the playing faces of the playing cards of the second set consist of integers within the range of 0 to M.  
   
   
       26 . The deck of  claim 18  where the integers displayed on the playing faces of the playing cards of the first set consist of integers within the range of 0 to M; the integers displayed on the playing faces of the playing cards of the second set consist of integers within the range of 0 to M; the integers displayed on the playing faces of the playing cards of the third set consist of integers within the range of 0 to M; and the integers displayed on the playing faces of the playing cards of the fourth consist of integers within the range of 0 to M.  
   
   
       27 . A deck comprising a first set of playing cards, a second set of playing cards, a third set of playing cards, and a fourth set of playing cards where: 
 (a) each set comprises 2M+1 playing cards;    (b) each playing card of each set comprises a playing face and a rear face;    (c) each playing face of each playing card of the first set displays an integer within the range of −M to M which is different from all the other integers displayed on all the other playing faces of the playing cards of the first set;    (d) the graphics for the integer displayed on each playing face of each playing card of the first set consist of at least one representation of the Arabic numeral for the displayed integer;    (e) each playing face of each playing card of the second set displays an integer within the range of −M to M which is different from all the other integers displayed on all the other playing faces of the playing cards of the second set;    (f) the graphics for the integer displayed on each playing face of each playing card of the second set consist of at least one representation of the Arabic numeral for the displayed integer;    (g) each playing face of each playing card of the third set displays an integer within the range of −M to M which is different from all the other integers displayed on all the other playing faces of the playing cards of the third set;    (h) the graphics for the integer displayed on each playing face of each playing card of the third set consist of at least one representation of the Arabic numeral for the displayed integer;    (i) each playing face of each playing card of the fourth set displays an integer within the range of −M to M which is different from all the other integers displayed on all the other playing faces of the playing cards of the fourth set;    (f) the graphics for the integer displayed on each playing face of each playing card of the fourth set consist of at least one representation of the Arabic numeral for the displayed integer; and    (g) M is an integer at least equal to 10.    
   
   
       28 . The deck of  claim 27  where: 
 the graphics displayed on each playing face of each playing card of the first set consist of at least one representation of the Arabic numeral for the displayed integer;    the graphics displayed on each playing face of each playing card of the second set consist of at least one representation of the Arabic numeral for the displayed integer;    the graphics displayed on each playing face of each playing card of the third set consist of at least one representation of the Arabic numeral for the displayed integer; and    the graphics displayed on each playing face of each playing card of the fourth set consist of at least one representation of the Arabic numeral for the displayed integer.    
   
   
       29 . The deck of  claim 27  where M equals 12.  
   
   
       30 . The deck of  claim 27  where M equals 13.  
   
   
       31 . A deck of playing card comprising at least four sets of playing cards, where: 
 (a) each set comprises M+1 playing cards;    (b) each playing card of each set comprises a playing face and a rear face;    (c) each playing face of each playing card within any particular set displays an integer within the range of 0 to M which is different from all the other integers displayed on all the other playing faces of all the other playing cards within its particular set; and    (d) M is an integer at least equal to 10.    
   
   
       32 . The deck of  claim 31  where the integers displayed on the playing faces of the playing cards within any particular set consist of integers within the range of 0 to M.  
   
   
       33 . The deck of  claim 32  where M equals 12.  
   
   
       34 . The deck of  claim 22  where M equals 12.  
   
   
       35 . The deck of  claim 22  where M equals 13.  
   
   
       36 . The deck of  claim 26  where M equals 12.  
   
   
       37 . The deck of  claim 28  where M equals 12.  
   
   
       38 . The deck of  claim 28  where M equals 13.  
   
   
       39 . The deck of  claim 31  where M equals 12.