Unit 03: Integer Operations

Students will use problem solving, mathematical communication, mathematical reasoning, connections, and representations to:

6.6 a) add, subtract, multiply, and divide integers

6.6 b) solve practical problems involving operations with integers;

6.6 c) simplify numerical expressions involving integers.*

Unit 04: Integer Operations

Key Vocabulary

Properties - a characteristic of an operation or a number
commutative property of addition - you can swap numbers around and still get the same answer when you add. 6 + 3 = 3 + 6
commutative property of multiplication - you can swap numbers around and still get the same answer when you multiply. 2 × 4 = 4 × 2
associative property of addition - When adding it doesn't matter how we group the numbers.
associative property of multiplication - When multiplying it doesn't matter how we group the numbers.
distributive property (over addition/subtraction) - When multiplying a number by a group of numbers, that are being added together, is the same as doing each multiplication separately.

3(2 + 4) = 3 × 2 + 3 × 4

identity property of addition (additive identity property) - Adding the number zero doesn't change anything.
identity property of multiplication (multiplicative identity property) - Multiplying by the number one doesn't change anything.
inverse property of addition (additive inverse property) - adding the opposite of a number gives you zero.
multiplicative property of zero - multiplying by zero give you zero.
substitution property of equality - if something is equal to something else, you can replace one thing with another.
inverse operations - It reverses the given operation. For example, the inverse of addition is subtraction.
reciprocal - multiplying by the reciprocal will equal 1. For example 2 x 1/2 = 1. The reciprocal is also called the multiplicative inverse.

Computation and Estimation (6th Grade)

Students will use problem solving, mathematical communication, mathematical reasoning, connections, and representations to:

6.6 a) add, subtract, multiply, and divide integers; * b) solve practical problems involving operations with integers; and c) simplify numerical expressions involving integers.*

Computation and Estimation (7th Grade)

7.2 solve practical problems involving operations with rational numbers. (Note: only problems with integers will be included in this unit. Problems with other rational numbers will be taught in Unit 5.)

*On the state assessment, items measuring this objective are assessed without the use of a calculator.

SOL 6.6 Unit 03 Integer Operations Study Guide.pdf

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