## Parents and students

Cluster 2: Using Models to Explore Properties of Multiplication and Division Duration: 4-5 weeks Content Standards: This list includes standards that will be addressed in this cluster, but not necessarily mastered, since all standards are benchmarks for the end of the year. Please note strikethroughs and recommendations in the Important Considerations section for more information.

NC.5.OA.2 Write, explain, and evaluate numerical expressions involving the four operations to solve up to twostep problems. Include expressions involving:

● Parentheses, using the order of operations.

● Commutative, associative and distributive properties.

NC.5.NBT.5 Demonstrate fluency with the multiplication of two whole numbers up to a three-digit number by a two-digit number using the standard algorithm.

NC.5.NBT.6 Find quotients with remainders when dividing whole numbers with up to four-digit dividends and two-digit divisors using rectangular arrays, area models, repeated subtraction, partial quotients, and/or the relationship between multiplication and division. Use models to make connections and develop the algorithm.

NC.5.MD.4 Recognize volume as an attribute of solid figures and measure volume by counting unit cubes, using cubic centimeters, cubic inches, cubic feet, and improvised units.

NC.5.MD.5 Relate volume to the operations of multiplication and addition.

● Find the volume of a rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths.

● Build understanding of the volume formula for rectangular prisms with whole-number edge lengths in the context of solving problems.

● Find volume of solid figures with one-digit dimensions composed of two non-overlapping rectangular prisms.

NC.5.OA.2 Write, explain, and evaluate numerical expressions involving the four operations to solve up to twostep problems. Include expressions involving:

● Parentheses, using the order of operations.

● Commutative, associative and distributive properties.

NC.5.NBT.5 Demonstrate fluency with the multiplication of two whole numbers up to a three-digit number by a two-digit number using the standard algorithm.

NC.5.NBT.6 Find quotients with remainders when dividing whole numbers with up to four-digit dividends and two-digit divisors using rectangular arrays, area models, repeated subtraction, partial quotients, and/or the relationship between multiplication and division. Use models to make connections and develop the algorithm.

NC.5.MD.4 Recognize volume as an attribute of solid figures and measure volume by counting unit cubes, using cubic centimeters, cubic inches, cubic feet, and improvised units.

NC.5.MD.5 Relate volume to the operations of multiplication and addition.

● Find the volume of a rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths.

● Build understanding of the volume formula for rectangular prisms with whole-number edge lengths in the context of solving problems.

● Find volume of solid figures with one-digit dimensions composed of two non-overlapping rectangular prisms.