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Integrated Task Standards: 4NF.B.3A: Understand addition and subtraction of fractions as joining and separating parts referring to the same whole. 4NF.B.3B: Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation. Justify decompositions, e.g., by using a visual fraction model. Examples: 3/8 = 1/8 + 1/8 + 1/8 ; 3/8 = 1/8 + 2/8 ; 2 1/8 = 1 + 1 + 1/8 = 8/8 + 8/8 + 1/8. 4NF.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. 4NF.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. Practice Standards: 1, 2, 3, 4, 6, 7, 8 Task Directions Use the data in tables below to answer the questions. David and his friends have entered a bass fishing competition at Elephant Butte Lake. The lengths of the fish they have caught are listed below. Name David Sam Lucy Bubba Alexis Fish 1 1 9 12 10 12 4 3 12 1 1 12 2 12 Fish 2 2 1 12 8 12 2 2 12 11 1 12 7 2 12 3 Fish 3 0 Total Score 5 12 7 12 6 12 1 2 12 1 Part A. When the competition was over, the judges added up all the lengths of fish. Who had the highest total length? Who had the least? Part B. Sam said he won because he had the highest denominator in his total score. Is Sam correct? Why or why not? Part C. David did not get a third fish. What size of a fish would have helped him tie with the first place winner? Show your reasoning.