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3.NF.3 2011 Domain: NUMBER AND OPERATIONS -FRACTIONS Cluster: Develop understanding of fractions as numbers Standards: Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size. Essential Questions How can different fractions name the same number? How can fractions be compared and evaluated using <, >, or =? Content Statements Different fractions name the same number. Fractions can be compared and evaluated using symbols. Enduring Understandings The same fractional amount can be represented by an infinite set of different but equivalent fractions. Activities, Investigation, and Student Experiences Equivalent fractions represent the same part of a whole. For example, if we cut a pie exactly down the middle, into two equally sized pieces, one piece is the same as one half of the pie. And if another pie (the same size) is cut into 4 equal pieces, then two pieces of that pie represent the same amount of pie that 1/2 did. So we can say that 1/2 is equivalent (or equal) to 2/4. Recognize that fractions are equivalent to whole numbers. Compare two fractions using <, >, or = and validate the conclusions. Assessments Use the picture to compare the fractions. How can you tell which fraction is greater? This website enables you to manipulate different types of equivalent fraction bars (Recommendation: View the website prior to using hands on manipulatives) 3.NF.3 2011 Compare these fractions using <, >, or =? 1/8 and 1/6 or 1/6 or 1/3 Which fraction is greater? Explain why? 2/4 or 1/3 http://www.schooltube.com/video/c859b50cbed144efb96d/Comparing-andOrdering-Fractions http://www.mathplayground.com/Fraction_bars.html http://www.mathsisfun.com/numbers/fraction-number-line.html Order these fractions from least to greatest. Build a Hexagon ¼, 3/8, ½ http://www.k-5mathteachingresources.com/3rd-grade-number-activities.html Equipment Needed: Teacher Resources: Number line http://jamit.com.au/fraction-games.htm Grids http://www.k-5mathteachingresources.com/3rd-grade-number-activities.html Fraction bars Fraction circles Tiles http://www.mathplayground.com/Fraction_bars.html http://www.mathsisfun.com/numbers/fraction-number-line.html
