Learning Domain: Number and Operations -- Fractions

Standard: Compare two fractions with different numerators and different denominators, using the denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols less than, =, or greater than, and justify the conclusions by: Reasoning about their size and using area and length models; Using benchmark fractions 0, one-half, and a whole; Comparing common numerator or common denominators.

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Learning Domain: Number and Operations -- Fractions

Standard: Apply and extend previous understandings of multiplication to: Model and explain how fractions can be represented by multiplying a whole number by a unit fraction, using this understanding to multiply a whole number by any fraction less than one; Solve word problems involving multiplication of a fraction by a whole number.

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Learning Domain: Number and Operations -- Fractions

Standard: Use fractions to model and solve division problems: Interpret a fraction as an equal sharing context, where a quantity is divided into equal parts; Model and interpret a fraction as the division of the numerator by the denominator; Solve one-step word problems involving division of whole numbers leading to answers in the form of fractions and mixed numbers, with denominators of 2, 3, 4, 5, 6, 8, 10, and 12, using area, length, and set models or equations.

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Learning Domain: The Number System

Standard: Understand and use prime factorization and the relationships between factors to: Find the unique prime factorization for a whole number; Find the greatest common factor of two whole numbers less than or equal to 100; Use the greatest common factor and the distributive property to rewrite the sum of two whole numbers, each less than or equal to 100; Find the least common multiple of two whole numbers less than or equal to 12 to add and subtract fractions with unlike denominators.

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