Standard(s):
[MA2019] (3) 13 : 13. Demonstrate that a unit fraction represents one part of an area model or length model of a whole that has been equally partitioned; explain that a numerator greater than one indicates the number of unit pieces represented by the fraction.
[MA2019] (3) 15 : 15. Explain equivalence and compare fractions by reasoning about their size using visual fraction models and number lines.
a. Express whole numbers as fractions and recognize fractions that are equivalent to whole numbers.
b. Compare two fractions with the same numerator or with the same denominator by reasoning about their size (recognizing that fractions must refer to the same whole for the comparison to be valid). Record comparisons using < , >, or = and justify conclusions.
[MA2019] (4) 15 : 15. Model and justify decompositions of fractions and explain addition and subtraction of fractions as joining or separating parts referring to the same whole.
a. Decompose a fraction as a sum of unit fractions and as a sum of fractions with the same denominator in more than one way using area models, length models, and equations.
b. Add and subtract fractions and mixed numbers with like denominators using fraction equivalence, properties of operations, and the relationship between addition and subtraction.
c. Solve word problems involving addition and subtraction of fractions and mixed numbers having like denominators, using drawings, visual fraction models, and equations to represent the problem.
[MA2019] (5) 15 : 15. Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.
a. Solve real-world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions and illustrate using visual fraction models, drawings, and equations to represent the problem.
b. Create a story context for a unit fraction divided by a whole number, and use a visual fraction model to show the quotient.
c. Create a story context for a whole number divided by a unit fraction, and use a visual fraction model to show the quotient.