understand that shapes in different categories: # of sides, # of angles, types of angles
understand that the shared attributes can define a larger category
partition shapes into parts with equal areas.
express the area of each part as a unit fraction of the whole
Develop understanding of fractions as numbers.
understand a fraction is part when a whole is partitioned into equal parts
3/4 means there are three 1/4 parts, so 3/4 = 1/4+1/4+1/4
recognize a fraction as a number on the number line
represent fractions on a number line diagram
recognize that each part part on number line is a unit fraction with equal size and shape
represent a non-unit fraction a/b on a number line diagram ex. 2/3 or 3/ 4
explain equivalence of fractions with visual fraction models.
compare fractions by reasoning about their size
recognize two fractions as equivalent (equal) if they are the same size or the same point on a number line
recognize and generate simple equivalent fractions with denominators of 2, 3, 4, 6, and 8. (e.g., 1/2 = 2/4, 4/6 = 2/3);
explain why the fractions are equivalent by using a visual fraction model
express whole numbers as fractions and recognize fractions that are equivalent to whole numbers (e.g., express 3 in the form 3 = 6/2 (3 wholes is equal to six halves);
recognize that 3/1 = 3 because 3 divided by 1 is 3; locate 4/4 and 1; likewise 4 divided by 4 is 1; at the same point of a number line diagram)
compare two fractions with the same numerator or the same denominator by reasoning about their size; recognize that comparisons are valid only when the two fractions refer to the same whole and record the results of comparisons with the symbols >, =, or <, and justify the conclusions