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Early Fraction Concepts (Introducing Fraction Language (1st Grade (fourths…
Early Fraction Concepts
Introducing Fraction Language
Start w/ Words, NOT symbols
Introduce vocab during discussions or solutions
2nd Grade
thirds
2 aspects of fractional parts
number of parts
equality of parts (size)
1st Grade
fourths
quarters
halves
Meaning of Fractions for PreK-2 Children
Division as Equal Sharing
Intuitive to students
Discrete quantities
Continuous quantities
Measurement
length
time
Connects well w/ number line models
Part-Whole
parts OUT OF
part of a whole
Part of a length
Starting Point
Causes confusion with mixed numbers
Continuous Quantities
Discrete Quantities
Building Fractional Parts
Iterating (Counting a repeated amount)
A. More, Less, or Equal to One Whole
length or area models
A. Playground Fractions
A. Pattern Block Creation
Fraction Size is Relative
A. Pizza Fallacy
Partitioning (Splitting equally)
Progression of Sharing tasks
problems with 2,4, or 8 sharers w/ solutions less than 1
Problems with 2,4, or 8 sharers w/ mixed number solutions
Solutions are whole numbers
Problems with 3 sharers w. mixed number solutions
Problems with 3 sharers w/ solutions less than 1
A. Cut Me a fair Share
A. How much did she share?
From Fraction Words to Symbols
Not until LATE 2nd grade or 3rd grade
pose itierating questions
Write corresponding symbols
Pose questions
Teacher Considerations
Misconceptions
Recommended instruction
pg 327
Models for Fractions
Length Models
Continuous quantities
A. Paper Strip to Number Line
Set Models
a. Sets in Equal Shares
Area Models
Circular Fraction pieces
Continuous quantity
A. Halves or no Halves
A. Different Shapes for Fair shares
A. Size and Shape check
Fraction Equivalence and Comparison
A. Cut them up again
Keeping it fair
Who is winning?