Use a calculator or other electronic device to explore this function
Row number |
Variable |
Constant factor |
Product |
Notes |
1 | 3 * | 27 = |
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2 | 6 * | 27 = |
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3 | 9 * | 27 = |
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4 | 12 * | 27 = |
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5 | 15 * | 27 = |
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6 | 18 * | 27 = |
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7 | 21 * | 27 = |
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8 | 24 * | 27 = |
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9 | 27 * | 27 = |
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10 | 30 * | 27 = |
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11 | 33 * | 27 = |
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12 | 36 * | 27 = |
1. Find the products of the factors and enter them in the column.
2. What patterns can be found?
3. Write some notes about what was found.
4. Did you include a pattern for the ones' place?
5. Did you include a pattern for the ten's place?
6. Did you include a pattern for all the places?
7. Did you think to add the digits and see if that made a pattern?
8. Did you think to add the digits and add the digits again until there was only one digit?
9. Did you try to rearrange the digits for each product and see if that made a difference as to what it was divisible by?
Hints
Row number |
Variable factor |
Constant
factor |
Product |
Notes |
1 | 3 * | 27 = |
81 |
|
2 | 6 * | 27 = |
162 |
|
3 | 9 * | 27 = |
243 |
|
4 | 12 * | 27 = |
324 |
|
5 | 15 * | 27 = |
405 |
|
6 | 18 * | 27 = |
486 |
|
7 | 21 * | 27 = |
567 |
|
8 | 24 * | 27 = |
648 |
|
9 | 27 * | 27 = |
729 |
|
10 | 30 * | 27 = |
810 |
|
11 | 33 * | 27 = |
891 |
|
12 | 36 * | 27 = |
972 |
Dr. Robert Sweetland's Notes ©