The Investigation 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 - Digit Draw Instructions (Word Format)
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Laboratory Investigation 6.2Digit Draw
Place 10 cards marked with the digits 0 through 9 in a container and select one at a time without replacement. As each card is selected, write its digit in one of the boxes shown below. As soon as each digit is selected it must be written in a box, and no changes can be made. This activity can have several goals. One might be to form the largest possible product; another might be to from the smallest product. The activity can be carried out as a game among several people, with each player using each digit as it is selected; or as a solitaire, with one person trying to satisfy a certain goal.
Starting Points for Investigations- What is the largest product that can be formed?
- What is the product closest to one?
- Once four digits have been written in the boxes, will the product be changed if the digits in boxes b and d are interchanged?
- A similar activity might involve sums, differences, or quotients, and the decimals might be hundredths of thousandths. For example, what is the difference closest to zero that can be formed by placing digits in the following boxes?
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