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Fractions I: Part 2 of 2

Fractions I: Part 2 of 2. Teacher’s Quality Grant. Benchmark. MA.3.A.2.1 Represent fractions, including fractions greater than one, using area, set, and linear models. MA.3A.2.2 Describe how the size of the fractional part is related to the number of equal sized pieces in the whole.

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Fractions I: Part 2 of 2

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  1. Fractions I:Part 2 of 2 Teacher’s Quality Grant

  2. Benchmark • MA.3.A.2.1 Represent fractions, including fractions greater than one, using area, set, and linear models. • MA.3A.2.2 Describe how the size of the fractional part is related to the number of equal sized pieces in the whole. • MA.3A.2.3 Compare and order fractions, including fractions greater than 1, using models and strategies.

  3. Overview This session explores the following concepts: • The use of the “area” concept to compare fractions • The use of the “area” concept to order fractions • The significance of the numerator and denominator when comparing fractions • The significance of the numerator and denominator when ordering fractions

  4. Comparing Fractions • Consider the following fractions: • Which one is bigger? ? 4 16 1 2

  5. Comparing Fractions (cont.) 16 16 1 =

  6. Comparing Fractions (cont.) = = 1 4 4 16

  7. Comparing Fractions (cont.) = = 1 2 8 16

  8. Comparing Fractions (cont.) • Compare the area of the figures below • Which one is bigger?

  9. Comparing Fractions (cont.) • This reads: One half is greater then four sixteenths > 4 16 1 2

  10. Fractions Facts • For fractions that have the same numerator the following is true: • The bigger the denominator gets, the smaller the fraction gets • Having 2 fractions with the same numerator, the one with the smallest denominator is the biggest one

  11. Comparing Fractions (cont.) > > 1 7 3 9 5 5 7 11 1 5 3 7 5 3 7 4 > >

  12. Ordering Fractions (cont.) 4 4 1 =

  13. Ordering Fractions (cont.) = 1 4

  14. Ordering Fractions (cont.) = 2 4

  15. Ordering Fractions (cont.) = 3 4

  16. Ordering Fractions (cont.) • Order the fractions below from smallest to largest by looking at the size of the area they represent 1 4 2 4 3 4

  17. Ordering Fractions (cont.) • The order of the fractions is as follows: 2 4 1 4 3 4 < <

  18. Fractions Facts • For fractions that have the same denominator the following is true: • The bigger the numerator gets, the bigger the fraction gets • Having 2 fractions with the same denominator, the one with the smallest numerator is the smallest one

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