9th grade

Common Core Standards: Algebra I Overview

Number and Quantity

The Real Number System

• Extend the properties of exponents to rational exponents.
• Use properties of rational and irrational numbers.

Quantities

• Reason quantitatively and use units to solve problems.

 

Algebra

Seeing Structure in Expressions

• Interpret the structure of expressions.
• Write expressions in equivalent forms to solve problems.

Arithmetic with Polynomials and Rational Expressions

• Perform arithmetic operations on polynomials.

Creating Equations

Create equations that describe numbers or relationships.

Reasoning with Equations and Inequalities

• Understand solving equations as a process of reasoning and explain the reasoning.
• Solve equations and inequalities in one variable.
• Solve systems of equations.
• Represent and solve equations and inequalities graphically.

 

Functions

Interpreting Functions

• Understand the concept of a function and use function notation.
• Interpret functions that arise in applications in terms of the context.

Analyze functions using different representations.

Building Functions

• Build a function that models a relationship between two quantities.
• Build new functions from existing functions.

Linear, Quadratic, and Exponential Models

• Construct and compare linear, quadratic, and exponential models and solve problems.
• Interpret expressions for functions in terms of the situation they model.

 

Statistics and Probability

Interpreting Categorical and Quantitative Data

• Summarize, represent, and interpret data on a single count or measurement variable.
• Summarize, represent, and interpret data on two categorical and quantitative variables.
• Interpret linear models.