South Dakota Content Standards
3.NF. Number and Operations—Fractions
3.NF.A. Develop understanding of Fractions as numbers.
3.NF.A.1. Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts (example: 1 part out of 4 equal parts is the same as 1/4); understand a fraction a/b as the quantity formed by a parts of size 1/b. (example:3/4 is the same as 3 one-fourths (1/4, 1/4, 1/4)
3.NF.A.3. Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size. Note - Grade 3 expectations in this domain are limited to fractions with denominators 2, 3, 4, 6, and 8.
3.NF.A.3.c. Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers.
3.NF.A.3.d. 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. Record the results of comparisons with the symbols < , =, or >.
3.G.A. Reason with shapes and their attributes.
3.G.A.2. Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole. For example, partition a shape into 4 parts with equal area, and describe the area of each part as 1/4 of the area of a shape.