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- Common Core MathK - 8High School

376 questions17 skills

141 questions5 skills

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*.

81 questions4 skills

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

64 questions3 skills

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.

53 questions3 skills

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.

182 questions9 skills

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

Compare fractions with the same numerator

Compare fractions with the same denominator

Compare fractions with the same numerator or denominator

Equivalent fraction models

Equivalent fractions on the number line

Compare fractions with fraction models

Relate fractions to 1

Fractions of different wholes

Write whole numbers as fractions

41 questions2 skills

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

41 questions2 skills

Recognize and generate simple equivalent fractions, e.g., 1/2 = 2/4, 4/6 = 2/3. Explain why the fractions are equivalent, e.g., by using a visual fraction model.

75 questions3 skills

Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers.

88 questions5 skills

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.