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FRACTIONS CAN BE FUN!

FRACTIONS CAN BE FUN!. An introduction to the world of fractions By: Heather Smith. What is a fraction?. A fraction is a number that expresses part of a group. 1/2 3/4 2/3 1/8 4/9 2/6 3/5 4/5. 4/12 3/9 1/4 1/5 8/9 5/8 5/6 4/7. Examples of fractions:. Fractions have two parts.

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FRACTIONS CAN BE FUN!

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  1. FRACTIONS CAN BE FUN! An introduction to the world of fractions By: Heather Smith

  2. What is a fraction? • A fraction is a number that expresses part of a group.

  3. 1/2 3/4 2/3 1/8 4/9 2/6 3/5 4/5 4/12 3/9 1/4 1/5 8/9 5/8 5/6 4/7 Examples of fractions:

  4. Fractions have two parts • All fractions have a numerator • All fractions have a denominator • For example: a/b • a is the numerator • b is the denominator

  5. For example 1/3 can be shown as: For example 2/5 can also be shown as: Shapes can be used to help identify fractions.

  6. How many parts do we shade for 3/7? 4/5? Your turn! Here is a chance for you to practice identifying fractions.

  7. Fractions are not only used in mathematics! They are also used in other things too, such as: • Carpentry • Recipes • Measuring • Drafting • Farming • Crafts

  8. Fractions, Fractions, Fractions! • 1. 1/3 • 2. 3/4 • 3. 2/3 • 4. 4/9 • 5. 5/7

  9. Here is a little history about fractions. • The history of fractions begun when humans began to observe nature; the divisions of the day, the month, the seasons, and patterns in nature. • The Egyptians were the first people to study and use fractions. They were the first to use sums of unit fractions, fractions with one in the numerator. With the use of fractions the Egyptians were able to build the pyramids, and calculate geometric shapes and volume. • In 550 AD, Aryabhata, an Indian mathematician, used continued fractions to study and solve linear equations. • In 1629, Christian Huygens was the first to use continued fractions in a practical application for approximating gear ratios. • Fractions were used in Greek astronomy, architecture and music theory for describing music intervals and the harmonic progression of string lengths.

  10. What are the two parts of a fraction? Who were the first people to study and use fractions? Where did the history of fractions begin? Can you give two examples? All fractions have a numerator and denominator. Egyptians were the first group of people to use fractions. With nature: the divisions of the day and the months. Let’s review a little about what we have learned about fractions!!

  11. Thank you for taking a ride with me through the world of fractions!! Remember: fractions are used in everyday life so there is no escaping them. Fractions can be fun!!!!!

  12. Resources • www.ask.com • http://mathforum.org/library • http://archives.math.utk.edu/topics/history • http://chestnuthillacademy.org/bar_gif_folder/fractions • Debbie Parker (teacher at Parker Elementary School) • The Learning Shoppe

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