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STANDARDS

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US-NY

Math

New York Math

Grade 6: Expressions, Equations, and Inequalities

Apply and extend previous understandings of arithmetic to algebraic expressions.

NY-6.EE.1

Fully covered
Write and evaluate numerical expressions involving whole-number exponents.

NY-6.EE.2

Write, read, and evaluate expressions in which letters stand for numbers.

NY-6.EE.2.a

Fully covered
Write expressions that record operations with numbers and with letters standing for numbers.

NY-6.EE.2.b

Fully covered
Identify parts of an expression using mathematical terms (term, coefficient, sum, difference, product, factor, and quotient); view one or more parts of an expression as a single entity.

NY-6.EE.2.c

Fully covered
Evaluate expressions given specific values for their variables. Include expressions that arise from formulas in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order (Order of Operations).

NY-6.EE.3

Fully covered
Apply the properties of operations to generate equivalent expressions.

NY-6.EE.4

Fully covered
Identify when two expressions are equivalent.

Reason about and solve one-variable equations and inequalities.

NY-6.EE.5

Mostly covered
Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true.

NY-6.EE.6

Fully covered
Use variables to represent numbers and write expressions when solving a real-world or mathematical problem. Understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set.

NY-6.EE.7

Mostly covered
Solve real-world and mathematical problems by writing and solving equations of the form x + p = q; x – p = q; px = q; and x/p = q for cases in which p, q, and x are all nonnegative rational numbers.

NY-6.EE.8

Fully covered
Write an inequality of the form x > c, x ≥ c, x ≤ c, or x < c to represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of these forms have infinitely many solutions; represent solutions of such inequalities on a number line.

Represent and analyze quantitative relationships between dependent and independent variables.

NY-6.EE.9

Fully covered
Use variables to represent two quantities in a real-world problem that change in relationship to one another. Given a verbal context and an equation, identify the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation.