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Exploring Fraction Concepts (Fractional Parts of a Whole (Partitioning (w/…
Exploring Fraction Concepts
Meanings of Fractions
Fraction Interpretations
Ratio
Operator
Division
Measurement
Part-Whole
Why Fractions are Difficult
Common Errors / Misconceptions
Fractional parts must be the same shape
fractions w/ larger denominators are bigger
fractional parts don't need to be equal-sized
Fractions are larger denominators are smaller
numerators and denominator are separate numbers
Fractions are subtraction
Models for Fractions
Length Models
12.2 Who is Winning (3)
Set Models
12.3 Class Fractions (3)
Array models
12.1 Playground Fractions (2,3)
Fractional Parts of a Whole
Partitioning
w/ area models
12.4 Fourths of Not fourths (2,3)
w/ set model
w/ length models
12.5 How Far Did Nicole Go? (3)
Iterating
12.6 A Whole Lot of Fun
12.7 More, Less, or Equal to One Whole (3)
Fraction Size is Relative
Fraction Notation
12.8 Pitchers and Cups
Magnitude of Fractions
12.9 On the Line (3)
12.10 Zero, One-Half, or One (3,4)
12.11 close Fractions (3,4)
Equivalent Fractions
Conceptual Focus on Equivalence
Models
12.12 Different Fillers (3)
12.13 Dot-Paper Equivalences (3)
12.14 Apples and Bananas (3)
12.15 Missing-Number Equivalencies (3,4)
Developing an Equivalent-Fraction Algorithm
12.16 Garden Plots (3,4)
Writing fractions in Simplest Terms
Multiplying by One
Comparing Fractions
Using Number Sense
Comparing Unit Fractions
12.17 Ordering Unit Fractions (3,4)
Comparing any Fractions
Using Equivalent Fractions
Teaching Consideration