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Unit 1

 OVERVIEW In this unit students will:  • Find the greatest common factor of two whole numbers less than or equal to 100.  • Find the least common multiple of two whole numbers less than or equal to 12.  • Use the distributive property to express a sum of two whole numbers 1-100 with a common factor as a multiple of a sum of two whole numbers with no common factor.  • Interpret and compute quotients of fractions.  • Solve word problems involving division of fractions by fractions using visual fraction models and equations to represent the problem.  • Fluently divide multi-digit numbers using the standard algorithm.  • Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation. STANDARDS FOR MATHEMATICAL CONTENT Apply and extend previous understandings of multiplication and division  to divide fractions by fractions.  MGSE6.NS.1 Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, including reasoning strategies such as using visual fraction models and equations to represent the problem. MGSE6.NS.3 Fluently add, subtract, multiply, and divide  multi-digit decimals using the standard algorithm for each operation.  MGSE6.NS.4 Find the common multiples of two whole numbers  less than or equal to 12 and the common factors of two whole  numbers less than or equal to 100. a. Find the greatest common  factor of 2 whole numbers and use the distributive property to  express a sum of two whole numbers 1-100 with a common  factor as a multiple of a sum of two whole numbers with no common factors. (GCF) Example: 36 + 8 = 4(9 + 2) b. Apply the least common multiple of two whole numbers less than or equal to 12 to solve real-world problems.