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3rd-6th grade Number Reasoning Matrix

  3rd 4th 5th 6th
+ and - fractions w/ like denominators of 10 or less w/ like and unlike denominators of 12 or less fractions and mixed numbers w/ like and unlike denominators of 12 or less in simplest form students will describe and compare two sets of data using ratios, and will use appropriate notations, such as a/b, a to b and a:b.
+ and - decimals NA  
comparing and ordering w/ like and unlike denominators of 10 or less w/ like and unlike denominators of 12 or less ordering a given set of fractions (w/ like and unlike denominators of 12 or less) and decimal numbers
concrete/abstract use concrete models, pictures, or drawings involving areas/regions, lengths/measures, and sets use concrete models, pictures, or drawings [abstract]
ratios NA NA NA
converting fractions to decimals and vice versa NA represent fractions for halves, fourths, fifths, and tenths as decimals through thousandths represent fractions for halves, fourths, fifths, eighths, and tenths as decimals through thousandths