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Big Ideas: 

 Connections, Equivalence, Patterns, Relationships

Students will be able to...  Use number lines to conceptualize the value of fractions and to compare and order fractions with landmark numbers, such as 0, ½, and 1.
 Use a number line to compare and order fractions with different numerators and different denominators, and to justify equivalence of fractions. (Limit to denominators of 2,3,4,6,8,10, and 12.)
 Use a number line to base explanations and to justify reasoning about the value of fractions.
 Compare fractions and express their relationships using the symbols <,>, or =.
 Compare two fractions with different numerators and different denominators by creating common denominators and numerators.
 Apply understanding of fraction equivalence and ordering to solve simple word problems requiring fraction comparison.
 Use a multiplication chart to conceptualize why the numerator and denominator can be multiplied by the same number to create an equivalent fraction.
 Use the principle of fraction equivalence (both the numerator and the denominator may be multiplied by the same factor to produce an equivalent fraction) to recognize and generate equivalent fractions.
 Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100. (For example, express 3/10 as 30/100, and 3/10 + 4/100 = 34/100)
 Explain equivalence of fractions using drawings and models. More specifically, explain why a fraction a/b is equivalent to a fraction (nxa)/(nxb) by using visual fraction models, with attention to how the number and size of the parts differ even though the 2 fractions themselves are the same size.
 Identify or describe errors in solutions to multistep problems and present correct solutions involving fractional comparisons.
