## ◂Math Worksheets and Study Guides Third Grade. Commutative Property

### The resources above correspond to the standards listed below:

#### Maryland College and Career-Ready Standards

MD.MA.3.OA. Operations and Algebraic Thinking (OA)
3.OA.A. Represent and solve problems involving multiplication and division.
3.OA.A.1. Major Standard: Interpret products of whole numbers, e.g., interpret 5x7 as the total number of objects in 5 groups of 7 objects each. For example, describe a context in which a total number of objects can be expressed as 5x7.
3.OA.A.1.6. Knowledge that the example in Standard 3.0A.A.1 can also represent the total number of objects with 5 items in each of 7 groups (Commutative Property).
3.OA.B. Understand properties of multiplication and the relationship between multiplication and division.
3.OA.B.5. Major Standard: Apply properties of operations as strategies to multiply and divide: If 6x4 = 24 is known, then 4x6 = 24 is also known (Commutative property of multiplication); 3x5x2 can be found by 3x5 = 15, then 15x2 = 30, or by 5x2 = 10, then 3x10 = 30 (Associative property of multiplication); Knowing that 8x5 = 40 and 8x2 = 16, one can find 8x7 as 8x(5+2) = (8x5)+(8x2) which leads to 40+16 = 56 (Distributive property).
3.OA.B.5.2. Knowledge of the properties of multiplication include Zero, Identity, Commutative, Associative and Distributive properties (CCSS, Page 90, Table 3).
3.OA.B.5.4. Ability to understand and apply the Properties of Operations as opposed to simply naming them.
3.OA.B.5.5. Ability to apply of the Properties of Operations as strategies for increased efficiency.
3.OA.C. Multiply and divide within 100.
3.OA.C.7. Major Standard: Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing that 8x5 = 40, one knows 40÷5 = 8) or properties of operations. By the end of Grade 3, know from memory all products of two one-digit numbers.
3.OA.C.7.1. Knowledge of multiplication and division strategies and properties to achieve efficient recall of facts.
3.OA.C.7.2. Ability to use multiple strategies to enhance understanding.
3.OA.C.7.3. Ability to model the various properties using concrete materials.
3.OA.D. Solve problems involving the four operations, and identify and explain patterns in arithmetic.
3.OA.D.9. Major Standard: Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations. For example, observe that 4 times a number is always even and explain why 4 times a number can be decomposed into two equal addends.
3.OA.D.9.3. Knowledge that subtraction and division are not commutative.
3.OA.D.9.4. Knowledge of multiplication and division properties (CCSS, Page 90, Tables 3 & 4).
3.OA.D.9.5. Ability to apply knowledge of Properties of operations to explain patterns and why they remain consistent.
MD.MA.3.NBT. Number and Operations in Base Ten (NBT)
3.NBT.A. Use place value understanding and properties of operation to perform multi-digit arithmetic.
3.NBT.A.3. Additional Standard: Multiply one-digit whole numbers by multiples of 10 in the range of 1090 (e.g., 9x80, 5x60) using strategies based on place value and properties of operations.
3.NBT.A.3.2. Ability to apply the Properties of Operations (CCSS, Page 90, Tables 3 & 4).