Fraction Meanings

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Fraction Meanings

• EDN 322

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• Students should be given the opportunity to
  develop concepts as well as number sense with
  fractions and decimals.
• NCTM (2000)

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North Carolina Standard Course of Study

• Kindergarten1.02 Share equally (divide) between
  two people explain.
• First Grade
• 1.04 Create, model, and solve problems that
  use addition, subtraction, and fair shares
  (between two or three).

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North Carolina Standard Course of Study

• Second Grade
• 1.02 Use area or region models and set models of
  fractions to explore part-whole relationships in
  contexts.
• 1.03 Create, model, and solve problems that
  involve addition, subtraction, equal grouping,
  and division into halves, thirds, and fourths
  (record in fraction form).
• Third Grade
• 1.05 Use area or region models and set models of
  fractions to explore part-whole relationships.

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North Carolina Standard Course of Study

• Fourth Grade
• 1.03 Solve problems using models, diagrams, and
  reasoning about fractions and relationships among
  fractions involving halves, fourths, eighths,
  thirds, sixths, twelfths, fifths, tenths,
  hundredths, and mixed numbers.
• Fifth Grade
• 1.02 Develop fluency in adding and subtracting
  non-negative rational numbers (halves, fourths,
  eighths thirds, sixths, twelfths fifths,
  tenths, hundredths, thousandths mixed numbers).

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Cookies to Share

• Does this teacher accomplish NCTMs goal of
  developing concepts as well as number sense with
  fractions?
• Are the NCTM process standards covered in this
  lesson?
• Other observations? (use of materials, etc.)

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Three Meanings of Fractions

• 1. Part-Whole
• 2. Quotient
• 3. Ratio

• Region
• Length
• Set
• Area

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The Region Model
What fraction of the rectangle is purple?
2
6
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The Region Model
What fraction of the pie is purple?
3
4
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Length model of 4 1/3
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The Whole
15 Marbles
Partitioned into 5 equal parts
Each part is one-fifth. Two parts are
two-fifths. Three parts are three-fifths. Four
parts are four-fifths. Five parts are five-fifths
or the whole.
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What fraction of the musical instruments have
strings?
The Set Model
2
5
14
What fraction of the fish have stripes?
The Set Model
15
Which figures show the area model?