Unit A1: Algebraic and Numerical Expressions
Listed below are the NYS Grade 6 Common Core Performance Standards for Unit A1: Numerical and Algebraic Expressions.
With each Performance Standard are "I Can Statements" students work on throughout the course of the Unit. At the end of the Unit, the students will be assessed on their ability to perform the actions in each "I Can Statement."
Finally, under the "I Can Statements" are a list of Topics. You will find extra practice resources, videos, class notes, and homework answers by clicking on the appropriate link."I Can Identify the Characteristics of an Expression, Equation, and Inequality."Expressions, Equations, and Inequalities
Write and evaluate numerical expressions involving whole-number exponents.
"I Can Apply the Order of Operations to Simplify a Number Sentence."
"I Can Simplify Numerical Expressions with Exponents."
Order of OperationsExponents
Write expressions that record operations with numbers and with letters standing for numbers.
"I Can Translate a Written Mathematical Expression into a Symbolic Expression."
"I Can Write an Algebraic Expression to Represent a Real-World Situation."
Translating using Operations
VocabularyWriting Expressions from
Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient); view one or more parts of an expression as a single entity.
Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations).
"I Can Substitute Values for Variables in a Number Sentence and Simplify."
Substituting Values for
Variables (Order of
Operations)Unit A1 Vocabulary Flash Cards
Apply the properties of operations to generate equivalent expressions
"I Can Identify the Properties of Math that Generate Equivalent Expressions."
"I Can Apply the Distributive Property to Generate an Equivalent Expression."
Inverse and Identity
Associative PropertiesDistributive Property
Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them)
"I Can Apply the Properties of Math to Determine if Expressions are Equivalent."
"I Can Combine Like Terms to Simplify and Generate Equivalent Expressions."
Equivalent ExpressionsCombining Like Terms
Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1-100 with a common factor as a multiple of a sum of two whole numbers with no common factor.
"I Can Find the Greatest Common Factor and Least Common Multiple of a Set of Numbers."
"I Can Apply the Greatest Common Factor and Least Common Multiple to help Solve Real-World Problems."
"I Can Factor an Expression as a Product of each term's GCF and Resulting Factor Pairs."
Greatest Common FactorLeast Common MultiplePrime FactorizationFactoring Out the GCF