---
title: "6.PAR.6: Numerical and Algebraic Expressions (Georgia Mathematics standard)"
code: 6.PAR.6
cite_as: Georgia Standards of Excellence, Mathematics, 6.PAR.6
subject: math
grades:
  - grade-6
language: en
canonical_url: https://georgiahomeroom.org/standards/code/6.PAR.6
md_url: https://georgiahomeroom.org/standards/code/6.PAR.6.md
alternate_language_url: https://georgiahomeroom.org/es/standards/code/6.PAR.6.md
source_url: https://case.georgiastandards.org/ims/case/v1p1/CFDocuments/e9dd7229-3558-4df2-85c6-57b8938f6180
source_last_changed: 2024-10-09
data_built: 2026-09-18
publisher: Georgia Homeroom, a free public-interest project of Georgia Civic Data. Not affiliated with or endorsed by the Georgia Department of Education or any school district.
up: https://georgiahomeroom.org/standards/math/grade-6.md
index: https://georgiahomeroom.org/standards/index.md
---

# 6.PAR.6: Numerical and Algebraic Expressions

Identify, write, evaluate, and interpret numerical and algebraic expressions as mathematical models to explain relevant situations.

- Subject: Mathematics
- Appears in: Grade 6, https://georgiahomeroom.org/standards/math/grade-6.md

## Expectations

- **6.PAR.6.1**: Write and evaluate numerical expressions involving rational bases and whole-number exponents.
- **6.PAR.6.2**: Determine greatest common factors and least common multiples using a variety of strategies to make sense of applicable problems.
- **6.PAR.6.3**: Write and read expressions that represent operations with numbers and variables in realistic situations.
- **6.PAR.6.4**: Evaluate expressions when given values for the variables, including expressions that arise in everyday situations.
- **6.PAR.6.5**: Apply the properties of operations to identify and generate equivalent expressions.

## Georgia Milestones coverage

- Mathematics Grade 6 (EOG). Patterning & Algebraic Reasoning. Identify, write, evaluate, and interpret numerical and algebraic expressions as mathematical models to explain relevant situations. (about 14% of the test; 8 points)

## What mastery looks like

Georgia's Achievement Level Descriptors. The levels are cumulative: each includes the ones before it. Proficient is on grade level.

- **Beginning**: Write numerical exponential expressions with rational bases and whole-number exponents. Identify factors and multiples of a number. Identify parts of an expression as a sum, difference, term, product, factor, quotient, coefficient, variable, or constant. Identify an equivalent expression by combining like terms.
- **Developing**: Evaluate exponential expressions with positive integer bases and whole-number exponents. Find the least common multiple of two numbers less than 12 and the greatest common factor of two numbers less than 100. Create an algebraic expression from the word form of the expression. Evaluate an algebraic expression when given the value of a variable. Identify an equivalent expression by using the distributive property.
- **Proficient**: Evaluate exponential expressions with rational bases and whole-number exponents. Find the least common multiple and the greatest common factor of two numbers to solve realistic problems. Create an algebraic expression that describes a realistic problem. Solve a realistic problem by evaluating an expression when given the value of a variable. Create an equivalent expression by combining like terms and using the distributive property.
- **Distinguished**: Solve authentic complex problems involving exponential and algebraic expressions, least common multiples, and greatest common factors.

## The same standard across grades

- Kindergarten, K.PAR.6: Explain, extend, and create repeating patterns with a repetition, not exceeding 4 and describe patterns involving the passage of time. https://georgiahomeroom.org/standards/code/K.PAR.6.md
- Grade 5, 5.PAR.6: Solve relevant problems by creating and analyzing numerical patterns using the given rule(s). https://georgiahomeroom.org/standards/code/5.PAR.6.md
- **Grade 6, 6.PAR.6 (this standard)**: Identify, write, evaluate, and interpret numerical and algebraic expressions as mathematical models to explain relevant situations.

Source: Georgia Standards of Excellence, published by the Georgia Department of Education at case.georgiastandards.org.