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.1.3. Ability to create equivalent fractions for each addend by using the identity property (standard algorithm).
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.
MD.MA.5.MD. Measurement and Data (MD)
5.MD.B. Represent and interpret data.
5.MD.B.2. Supporting Standard: Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8); Use operations for this grade to solve problems involving information presented in line plots. For example, given different measurements of liquid in identical beakers, find the amount of liquid each beaker would contain if the total amount in all the beakers were redistributed equally (4.MD.B.4).
5.MD.B.2.2. Ability to use equivalent fractions to add and subtract fractions (5.NF.A.1 and 2).