# California Algebra I Content Standards and Benchmarks

### 1. Students identify and use the arithmetic properties of subsets of integers and rational, irrational, and real numbers, including closure properties for the four basic arithmetic operations where applicable.

1.1 Students use properties of numbers to demonstrate whether assertions are true or false.

### 25. Students use properties of the number system to judge the validity of results, to justify each step of a procedure, and to prove or disprove statements.

25.1 Students use properties of numbers to construct simple, valid arguments (direct and indirect) for, or formulate counterexamples to, claimed assertions.

25.2 Students judge the validity of an argument according to whether the properties of the real number system and the order of operations have been applied correctly at each step.

25.3 Given a specific algebraic statement involving linear, quadratic, or absolute value expression or equations or inequalities, students determine whether the statement is true sometimes, always, or never.