## Multiplication and Division

During this unit students will build an understanding of equal groups and how to represent them using repeated addition & visual models such as pictures & arrays. Students will write multiplication equations with a symbol for the unknown. As students practice these concepts they will study the relationship between factors and products. Students will learn about these concepts within the context of one-step word problems. Via the supporting standard, NC.3.OA.9, students will begin to learn about the commutative property of multiplication and about patterns within multiplication, specifically the 2s, 5s, and 10s. Additionally, within the unit, students will extend the use of arrays and repeated operations to division, NC.3.OA.2.

NC Standards for Learning:

NC.3.OA.1

NC.3.OA.3

Supporting Standards within this Unit:

NC.3.OA.2

Interpret patterns of multiplication on a hundreds board and/or a multiplication table.

NC Standards for Learning:

NC.3.OA.1

- For products of whole numbers with two factors up to and including 10:
- Interpret the factors as representing the number of equal groups and the number of objects in each group.
- Illustrate and explain strategies including arrays, repeated addition, decomposing a factor, and applying the commutative and associative properties.

NC.3.OA.3

- Represent, interpret, and solve one-step problems involving multiplication and division
- Solve multiplication word problems with factors up to and including 10. Represent the problem using arrays, pictures, and/or equations with a symbol for the unknown number to represent the problem.
- Solve division word problems with a divisor and quotient up to and including 10. Represent the problem using arrays, pictures, and/or equations with a symbol for the unknown number to represent the problem.

Supporting Standards within this Unit:

NC.3.OA.2

- For whole-number quotients of whole numbers with a one-digit divisor and a one-digit quotient:
- Interpret the divisor and quotient in a division equation as representing the number of equal groups and the number of objects in each group.
- Illustrate and explain strategies including arrays, repeated addition, and decomposing a factor.

Interpret patterns of multiplication on a hundreds board and/or a multiplication table.