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3rd Grade Core Knowledge Math Fractions Summary In this domain, students will continue adding to their knowledge of fractions. Students will build on their knowledge of fractions being part of a whole while moving toward the addition of like fractions and the comparison of fractions. The Big Idea Fractions and decimals are two ways to express numbers that are not whole. Colorado State Standards MA3.1.2.a.Use drawings, models, and numerals to represent fractions (halves, thirds, fourths, sixths, eighths) based on a whole shape, number set, or number line MA3.1.2.c.Describe why equivalent fractions are two ways of modeling the same quantity using a model or drawing MA4.1.3.a.Solve comparison problems using models of fractions with like and unlike denominators through 10 MA4.1.3.b.Estimate and justify the reasonableness of solutions to problems involving comparison of fractions MA4.1.3.c.Demonstrate equivalent fractions, decimals, and percents using drawings and models MA5.1.2.a.Find equivalent forms of commonly used fractions, decimals, and percents using models, drawings, and computational strategies Common Core Standards 3.NF 1. 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. 3.NF 3. Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size. a. Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line. b. 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. d. 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. Core Knowledge Unit: Recognize fractions to 1/10 Identify numerator and denominator Recognize equivalent fractions Compare fractions with like denominators Singapore Math Recognize fractions of a whole. Visualize relative sizes of fractions of a whole Identify numerator and denominator Recognize equivalent fractions with denominators up to 12 Compare fractions with like denominators Compare fractions with like numerators Identify simplest form Compare and order fractions Previous Unit: Bar Graphs Prior Knowledge Recognize fractions are part of a whole Next Unit: Geometry What Students will Learn in Future Grades Add and subtract fractions with like denominators Add and subtract fractions with unlike denominators Write mixed fractions Add and subtract mixed fractions Convert improper fractions to mixed fractions Identify fractions of a set (ex. ¾ of 20) Additional Resources For Teachers: Primary Mathematics 3B Teacher’s Edition Primary Mathematics 3B Textbook For Children: Primary Mathematics 3B Textbook Primary Mathematics 3B Workbook Extra Practice 3 Workbook