1.G.A.3Partition 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.

2.G.A.3Partition 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.

3.NF.A.1Understand 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.

3.NF.A.3Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.

4.NF.A.2Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole.

4.NF.B.3Understand a fraction a/b with a > 1 as a sum of fractions 1/b.

4.NF.B.3.aUnderstand addition and subtraction of fractions as joining and separating parts referring to the same whole.

4.NF.B.3.bDecompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation. Justify decompositions, e.g., by using a visual fraction model.

4.NF.B.3.dSolve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators, e.g., by using visual fraction models and equations to represent the problem.

5.NF.B.3Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem.

5.NF.A.1Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. (5th Grade Stretch)

4.NF.B.4Apply and extend previous understandings of multiplication to multiply a fraction by a whole number. (5th Grade Stretch)

NY-1.G.3Partition circles and rectangles into two and four equal shares. Describe the shares using the words halves, fourths, half of, a fourth of.

NY-2.G.3Partition circles and rectangles into two, three, or four equal shares. Describe the shares using the words halves, thirds, half of, a third of, etc.

NY-3.NF.1Understand a unit fraction, 1/b, is the quantity formed by 1 part when a whole is partitioned into b equal parts.

NY-3.NF.3Explain equivalence of fractions and compare fractions by reasoning about their size.

NY-4.NF.2Compare two fractions with different numerators and different denominators. Recognize that comparisons are valid only when the two fractions refer to the same whole.

NY-4.NF.3Understand a fraction a/b with a > 1 as a sum of fractions 1/b.

NY-5.NF.3Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b).

1.G.A.3Partition 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.

2.G.A.3Partition 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.

3.NF.A.3Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.

4.NF.A.2Compare two fractions with different numerators and different denominators. Recognize that comparisons are valid only when the two fractions refer to the same whole.

4.NF.B.3Understand a fraction a/b with a > 1 as a sum of fractions 1/b. Includes adding and subtracting fractions with like denominators and decomposing a fraction in more than one way.

5.NF.B.3Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem.

NC.1.G.3Partition circles and rectangles into two and four equal shares. Describe the shares as halves and fourths, as half of and fourth of.

NC.2.G.3Partition circles and rectangles into two, three, or four equal shares. Describe the shares using the words halves, thirds, half of, a third of, fourths, fourth of, quarter of.

NC.3.NF.1Interpret unit fractions with denominators of 2, 3, 4, 6, and 8 as quantities formed when a whole is partitioned into equal parts.

NC.3.NF.3Represent equivalent fractions with area and length models by composing and decomposing fractions into related fractions: halves, fourths and eighths; thirds and sixths.

NC.4.NF.2Compare two fractions with different numerators and different denominators, using the denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100.