Multiplying with Base-Ten Pieces The Investigation below poses questions to generate interest in various mathematical topics from the text and encourages students to formulate and investigate their own conjectures. One use of the investigations is for term papers in which students report on their conjectures and the patterns they find. Click on the Read Me file below to open the investigation in a Word file: Read Me - Number Chains Instructions (Word Format) (23.0K) The Math Investigator is a data collection software program that may be used to collect data for the investigation. You may type answers onto the Word file or copy and paste in data from the Investigator. Click here to launch the Number Chains InvestigatorMath Investigator 3.3NUMBER CHAINS on the Math Investigator prints a number chain by multiplying the units digit of a chosen number by any whole number less that 50 and adding the product to the number formed by the remaining digits. The following task was given to an elementary school class for practice in multiplication. Start with a two-digit whole number, double its units digit, and add its tens digit to obtain a new number. Repeat this process with each new number. For example, the number chain shown below starts with 15, and the second number in the chain is 2 x 5 + 1 = 11. This number chain was continued until the first number in the chain was obtained. A number chain is complete when any previous number in the chain is repeated. 15 -> 11 -> 3 -> 6 -> 12 -> 5 -> 10 -> 1 -> 2 -> 4 -> 8 -> 16 -> 13 -> 7 -> 14 -> 9 -> 18 -> 17 -> 15 Starting Points for Investigations
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