Section 1
Properties of Addition and Multiplication
Property
These properties are the fundamental rules that govern arithmetic and algebra.
Identity Property of Addition:
In Lesson 3.3 of Big Ideas Math Advanced 1, Grade 6 students explore the Commutative and Associative Properties of Addition and Multiplication, learning how changing the order or grouping of addends and factors does not change the sum or product. Students apply these properties to write and simplify equivalent expressions involving variables, such as rewriting 7 + (12 + x) as 19 + x. The lesson also investigates why these properties do not extend to subtraction or division.
Section 1
Properties of Addition and Multiplication
These properties are the fundamental rules that govern arithmetic and algebra.
Identity Property of Addition:
Section 2
Applying Addition and Multiplication Properties to Algebraic Expressions
Two algebraic expressions are equivalent if one can be transformed into the other using properties of addition and multiplication.
Commutative Property: The order does not change the result.
Section 3
Simplifying Expressions Using Properties
To systematically simplify algebraic expressions:
(1) Use commutative property to reorder terms；
(2) Use associative property to regroup terms；
(3) Combine like terms；
(4) Apply identity and zero properties.
The goal is to write the simplest equivalent expression.
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Section 1
Properties of Addition and Multiplication
These properties are the fundamental rules that govern arithmetic and algebra.
Identity Property of Addition:
Section 2
Applying Addition and Multiplication Properties to Algebraic Expressions
Two algebraic expressions are equivalent if one can be transformed into the other using properties of addition and multiplication.
Commutative Property: The order does not change the result.
Section 3
Simplifying Expressions Using Properties
To systematically simplify algebraic expressions:
(1) Use commutative property to reorder terms；
(2) Use associative property to regroup terms；
(3) Combine like terms；
(4) Apply identity and zero properties.
The goal is to write the simplest equivalent expression.
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter