## Standards with the same topic and subject but for other grades

Develop understanding of fractions as numbers.

Understand a fraction 1/π as the quantity formed by 1 part when a whole is partitioned into π equal parts; understand a fraction π/π as the quantity formed by π parts of size 1/π.

Understand a fraction as a number on the number line; represent fractions on a number line diagram.

Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line.

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 <, and justify the conclusions, e.g., by using a visual fraction model.

Represent a fraction 1/π on a number line diagram by defining the interval from 0 to 1 as the whole and partitioning it into π equal parts. Recognize that each part has size 1/π and that the endpoint of the part based at 0 locates the number 1/π on the number line.

Represent a fraction π/π on a number line diagram by marking off π lengths 1/π from 0. Recognize that the resulting interval has size π/π and that its endpoint locates the number π/π on the number line.

Partition circles and rectangles into two, three, or four equal shares, describe the shares using the words halves, thirds, half of, a third of, etc., and describe the whole as two halves, three thirds, four fourths. Recognize that equal shares of identical wholes need not have the same shape.

Partition circles and rectangles into two and four equal shares, describe the shares using the words halves, fourths, and quarters, and use the phrases half of, fourth of, and quarter of. Describe the whole as two of, or four of the shares. Understand for these examples that decomposing into more equal shares creates smaller shares.

Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole.