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Grade 3 - Number and Operations - Fractions
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.
Part of a Whole
Fraction Word Names
Connecting Model and Symbol - Bars
Connecting Model and Symbol - Mixed Shapes
Modeling Fractions with Bars
Modeling Fractions with Sets of Objects
Modeling Fractions with Circles
Numerator and Denominator
Equally Sized Parts of the Whole
Understand a fraction as a number on the number line; represent fractions on a number line diagram.
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.
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.
Introducing 1/b on the Number Line
Real World Number Line Applications
Partitioning the Number Line
Labeling Number Lines
Length on a Number Line
Placing Fractions on a Number Line
Placing Fractions Between 1 and 2 on a Number Line
Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line.
Relating Fraction Pieces to Each Other
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.
Generating Equal Fractions
Modeling Equivalence in Context
The Meaning of Equivalence
Introduction to Equivalent Fractions
Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers. Examples: Express 3 in the form 3 = 3/1; recognize that 6/1 = 6; locate 4/4 and 1 at the same point of a number line diagram.
Whole Numbers as Fractions on a Number Line
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.