6.PAR.6Numerical and Algebraic Expressions
Identify, write, evaluate, and interpret numerical and algebraic expressions as mathematical models to explain relevant situations.
Appears in: Mathematics, Grade 6
Expectations
6.PAR.6.1Write and evaluate numerical expressions involving rational bases and whole-number exponents.
6.PAR.6.2Determine greatest common factors and least common multiples using a variety of strategies to make sense of applicable problems.
6.PAR.6.3Write and read expressions that represent operations with numbers and variables in realistic situations.
6.PAR.6.4Evaluate expressions when given values for the variables, including expressions that arise in everyday situations.
6.PAR.6.5Apply 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.
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.
Grade 5 · 5.PAR.6
Solve relevant problems by creating and analyzing numerical patterns using the given rule(s).
Grade 6 · 6.PAR.6 (this standard)
Identify, write, evaluate, and interpret numerical and algebraic expressions as mathematical models to explain relevant situations.