Comparing

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Comparing Ordering Fractions

• Our Favorite Subject

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What Should Students Understand about Fraction
Concepts

• Meaning of the denominator (number of equal-sized
  pieces into which the whole has been cut)
• Meaning of the numerator (how many pieces are
  being considered)
• The more pieces a whole is divided into, the
  smaller the size of the pieces

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What is Equivalence, Anyway?

• Equivalence means equal value
• A fraction can have many different names
• Understanding that 1/2 is equivalent to many
  other fractions helps you to use that benchmark
• Simplify when and why

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Ordering Fractions

Fractions with the same denominator can be
compared by their numerators.
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Ordering Fractions

Fractions with the same numerator can be compared
by their denominators.
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Ordering Fractions

Fractions close to a benchmark can be compared by
finding their distance from the benchmark.
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Ordering Fractions

Fractions close to one can be compared by finding
their distance from one.
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Strategies for Ordering Fractions

• Same denominator
• Same numerator
• Benchmarks close to 0, 1, 1/2
• Same number of missing parts from the whole
  (Residual strategy)

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Clothesline Fractions Activity
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Clothesline Fractions Activity
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Clothesline Fractions Activity
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Clothesline Fractions Activity
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Clothesline Fractions Activity
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Clothesline Fractions Activity
X ,
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Clothesline Fractions Activity
(where x ?0)
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The Number Line Helps Develop

• Fraction sense
• Benchmarks
• Relative magnitude (size) of fractions
• Algebraic connections

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What Should Kids Know?

• Fractions arent just between zero and one they
  live between all the numbers on the number line
• A fraction can have many different names
• There are more strategies than just finding a
  common denominator for comparing and ordering
  fractions
• Fractions can be ordered on a number line just
  like whole numbers.
• The thinking involved when placing fractions on a
  number line can be symbolized algebraically.

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Contact Usnbezuk_at_mail.sdsu.edusklass_at_projects.s
dsu.eduSlides and Fraction Tents Master are
available athttp//pdc.sdsu.edu(click on PDC
Presentations)