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CHAPTER 12 EXPLORING FRACTION CONCEPTS 3rd (FRACTIONAL PARTS OF A WHOLE…
CHAPTER 12 EXPLORING FRACTION CONCEPTS 3rd
MEANGINGS OF FRACTIONS
Fraction Interpretations
part-whole
measurement the amount to a whole unit
division: links to equal shares
operator
ratio
fractions can be difficult
over applying whole number concept
MODELS FOR FRACTIONS
area models: pizza, brownies
length models
walking distances, music measures
number lines
Set
students in class,items in bag
FRACTIONAL PARTS OF A WHOLE
fraction size is relative
partitioning
sectioning a whole into equal sized pieces
with area models: same size, not same shape
length models:size of intervals
set models: counters in a set
iterating: compare sizes of numbers
fraction notation
numerator and denominator
magnitude of fractions
see fractions as numbers
EQUIVALENT FRACTIONS
conceptual focus on equivalence
equivalent-fraction models
start with physical model
area
set
length
developing an equivalent-fraction algorithm
writting fractions in simplest form
multiplying by one
COMPARING FRACTIONS
using number sense
comparing unit fraction
comparing any fraction
using equivalent fractions