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### 1.3 Properties of Numbers

Standard(s):

1.OA.B3:

• Understand and apply properties of operations and the relationship between addition and subtraction.
• Apply properties of operations as strategies to add and subtract. Examples: If 8 + 3 = 11 is known, then 3 + 8 = 11 is also known. (Commutative property of addition.) To add 2 + 6 + 4, the second two numbers can be added to make a ten, so 2 + 6 + 4 = 2 + 10 = 12. (Associative property of addition.)

3.OA.B5:

• Understand properties of multiplication and the relationship between multiplication and division.
• Apply properties of operations as strategies to multiply and divide.  Examples: If 6 × 4 = 24 is known, then 4 × 6 = 24 is also known. (Commutative property of multiplication.) 3 × 5 × 2 can be found by 3 × 5 = 15, then 15 × 2 = 30, or by 5 × 2 = 10, then 3 × 10 = 30. (Associative property of multiplication.)

Essential Questions:

• How can the properties of the real number system be used?
• How can properties of algebra be used to describe the relationship between sets of numbers?

Learning Targets:

• I can identify the property used. (Knowledge)
• I can apply properties. (Application)
• I can demonstrate the concept of equality. (Comprehension)

Warm-Up:

Notes:

Click on the image below for the PDF of the notes - Properties of Numbers.
Videos:
Click below for the Classroom Lesson - Properties of Numbers

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