This number exploration, uses Largest, Smallest Four Digit numbers and practices subtraction. all an endeavour to find the Constant that many Four Digit Numbers end up at.
As the Card suggests all numbers will end up at the Constant within 1 to 7 steps. I would challenge the students to see if there is one starting number that does not conform.
In the Classroom I would consider having 8 wall charts Labeled 1 through 7 the 8th Others!! As Students check their four digit numbers and count the steps the record their discoveries on the appropriate chart.
Other students may wish to find out more about Kaprekar, who he was, what mathematical truths he found.
Prerequisites: Some understanding of four digit numbers and four digit substraction(or allow use of calculator) and possibly Flow Diagrams
No comments:
Post a Comment