Area Model
partition wholes into equal areas
fractions are represented as parts of an area or region.
useful manipulatives include rectangular, or circular fraction sets, pattern blocks, geoboards and tangrams.
compare fractions by reasoning about their size
Linear Model
lengths are compared instead of areas (e.g., 3/4 of an inch).
either number lines are drawn and subdivided or physical materials are compared on the basis of length.
useful manipulatives include cuisenaire rods, fraction strips, number lines and trains built from different colored unifix cubes.
Equivalent Fractions
Equivalent Fractions Using Models
the whole is understood to be a set of objects, and subsets of the whole make up fractional parts (e.g. 1/2 of the class, 1/4 of a set of buttons, 1/3 of a tray of muffins).
useful manipulatives include two-color counters, centimeter cubes, or any set of objects that can be counted (e.g. a bag of marbles).
Interactive Games
Modeling Fractions
Comparing Fractions
Compare Fractions - Same Denominator
Compare Fractions - Same Numerator
Equivalent Fractions
Fractions Greater than One
Conversion between Mixed Numbers and Fractions
Adding and Subtracting Fractions
Adding Mixed Numbers with Models
Subtracting Mixed Numbers with Models
Multiplying Fractions by Whole Numbers
Making and Investigating Fraction Strips
Circular Fraction Pie Pieces Smaller Quantities
Circular Fraction Pie Pieces Larger Fractions
Comparing Fractions with Half and One
Adding Fractions with Like Denominators
Adding Fractions with Unlike Denominators
Subtracting Fractions with Unlike Denominators
Interactive Fraction Number Line
Decimal Models