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Fractions: Grades 3-5 Equivalency, Addition, and Subtraction Druid Hills Elementary CCSS.Math.Content.3.NF.A.3 Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size. Grade 3 expectations in this domain are limited to fractions with denominators 2, 3, 4, 6, 8. Which Factions are Equal Fraction Cards Hexagon Cookies Ways Make a Whole Fractions Cards Hexagon Cookies Grade 4 CCSS.Math.Content.4.NF.B.3a Understand addition and subtraction of fractions as joining and separating parts referring to the same whole. Translation Know that adding and subtraction of fractions is the putting together and taking apart of same sized pieces from the same whole. Grade 4 CCSS.Math.Content.4.NF.B.3c Add and subtract mixed numbers with like denominators, e.g., by replacing each mixed number with an equivalent fraction, and/or by using properties of operations and the relationship between addition and subtraction. Translation Use what you know about equivalency or decomposing numbers to add and subtract fractions. Grade 4 CCSS.Math.Content.4.NF.B.3d Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators, e.g., by using visual fraction models and equations to represent the problem. Grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12. NEW!! Making Fraction Cards 1/2 Making Fraction Cards or Coloring Activity? As students make the cards, what do you need to do to ensure they are engaging in 4.NF.1 4.NF.2 Others? 4.NF.2. Compare two fractions with different numerators and different denominators, e.g., a/b by creating common 4.NF.1. Explain why a fraction is equivalent to a denominators fraction (n × or numerators, by comparing to amodels, benchmark such as 1/2. a)/(n × b) by or using visual fraction withfraction attention to how the Recognize only whenthe thetwo twofractions fractions number andthat sizecomparisons of the parts are differvalid even though refer to the same whole. thethis results of comparisons with themselves are the sameRecord size. Use principle to recognize and symbols =, or <, and justify. the conclusions, e.g., by using a generate>,equivalent fractions visual fraction model. Combinations to 1 How could students prove whether the following equation is true or false? 1 4 + 1 2 1 +6 1 + 12 =1 But I thought students didn’t have to add with unlike denominators! Read teacher note p. 56 Grade 5 CCSS.Math.Content.5.NF.A.1 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. Fraction Track Thank You! www.elementarymathematics.org Kaneka Turner: [email protected] 980.343.2792