Investigating Fraction to Decimal Patterns: Basic and Advanced Patterns

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Did you know that the ninths fractions can easily be converted by taking the numerator and turning it into a repeating decimal? For example, 4/9 = .444... and 8/9 = .888....?

Did you know that the 11ths fractions cycle through the 9 times tables through the numerator? 5/11 = .4545.... and 7/11 = .6363....

These are great patterns to know because it can save your students hours of tedious calculations when converting fractions to decimals. Since patterns are the "language of mathematics" then seeing and exploring these patterns can be really helpful!

This is a set of 8 different decimal to fraction investigations; it begins with investigating the pattern of 8ths, 9ths and 11ths, which are patterns that are easily calculated and, more importantly, extrapolated (that's predicting what the next sequence in the pattern will be....) Students are asked to fill out a table of fraction to decimal equivalents and then find patterns that are inherent in the patterns.

The next set of activities, which involve more complicated patterns, go by 7ths, 12ths, 15ths and 22nds: what students will find is that there are overlaps with the previous fraction to decimal equivalents, but also some subtle and interesting patterns that can be found in some of the more obscure fraction to decimal conversions.

The second set (advanced) of activities are designed to be solved using a calculator; if you want your students to calculate them by hand, I won't stop you, but it may stop them from seeing the truly cool numeric patterns.

Comes with answer key as well as suggestions for teaching.
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20 pages
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