Building Understanding of Fractions

MAFS.3.NF.1.1 – Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction a/b as the quantity formed by a parts of size 1/b.

MAFS.3.NF.1.2 – Understand a fraction as a number on the number line; represent fractions on a number line diagram.

MAFS.3.NF.1.2a.Represent a fraction 1/b on a number line diagram by defining the interval from 0 to 1 as the whole and partitioning it into b equal parts. Recognize that each part has size 1/b and that the endpoint of the part based at 0 locates the number 1/b on the number line.

MAFS.3.NF.1.2b.Represent a fraction a/b on a number line diagram by marking off a lengths 1/b from 0. Recognize that the resulting interval has size a/b and that its endpoint locates the number a/b on the number line.

MAFS.3.G.1.2 – 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 the shape.

MAFS.3.OA.3.7 – Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing that 8 × 5 = 40, one knows 40 ÷ 5 = 8) or properties of operations. By the end of Grade 3, know from memory all products of two one-digit numbers.

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