Maryland College and Career-Ready Standards
MD.MA.5.NF. Number and Operations – Fractions (NF)
5.NF.A. Use equivalent fractions as a strategy to add and subtract fractions.
5.NF.A.1. Major Standard: Add 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.
5.NF.A.1.1. Knowledge of understanding of addition and subtraction of fractions with like denominators and unit fractions from grade 4 (4.NF.B.3.a-d).
5.NF.A.2. Major Standard: Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7 by observing that 3/7 < 1/2.
5.NF.A.2.1. Knowledge of understanding addition and subtraction of fractions as joining and separating parts referring to the same whole (4.NF.A.3a).
5.NF.B. Apply and extend previous understandings of multiplication and division to multiply and divide fractions.
5.NF.B.3. Major Standard: Interpret 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. For example, interpret 3/4 as the result of dividing 3 by 4, noting that 3/4 multiplied by 4 equals 3, and that when 3 wholes are shared equally among 4 people each person has a share of size 3/4. If 9 people want to share a 50-pound sack of rice equally by weight, how many pounds of rice should each person get? Between what two whole numbers does your answer lie?
5.NF.B.3.1. Ability to recognize that a fraction is a representation of division.
5.NF.B.3.2. Relate division of whole numbers to division of fractions.