Grade 6 NY State Math Test Guide

Grade 6 calculator and tools

• Calculators are prohibited in Grades 3-5 and Grade 6 Session 1.
• Each student must have exclusive use of a four-function calculator with a square-root key or a scientific calculator; graphing calculators are prohibited.
• Ruler and protractor in both sessions
• Grade-specific mathematics reference sheet in both sessions
• Equivalent CBT tools

Grade 6 test forms and windows

Grade 6 New York Math Test

Annual spring assessment administered in two sessions on two consecutive locally selected school days. 2027-04-05 through 2027-05-14. Schools select two consecutive days; the whole grade tests on the same selected two days.

• Session 1: 30 visible questions
• Session 2: 16 visible questions

Grade 6 reporting categories

Expressions, Equations, and Inequalities

25–43% of the published blueprint. Eligible codes: NY-6.EE.1, NY-6.EE.2a, NY-6.EE.2b, NY-6.EE.2c, NY-6.EE.3, NY-6.EE.4, NY-6.EE.5, NY-6.EE.6, NY-6.EE.7, NY-6.EE.8, NY-6.EE.9.

Geometry

14–24% of the published blueprint. Eligible codes: NY-5.G.1, NY-5.G.2, NY-6.G.1, NY-6.G.2, NY-6.G.3, NY-6.G.4, NY-6.G.5.

The Number System

17–26% of the published blueprint. Eligible codes: NY-6.NS.1, NY-6.NS.2, NY-6.NS.3, NY-6.NS.4, NY-6.NS.5, NY-6.NS.6a, NY-6.NS.6b, NY-6.NS.6c, NY-6.NS.7a, NY-6.NS.7b, NY-6.NS.7c, NY-6.NS.7d, NY-6.NS.8.

Operations and Algebraic Thinking

Officially eligible content. Eligible codes: NY-5.OA.1, NY-5.OA.2, NY-5.OA.3.

Ratios and Proportional Relationships

21–30% of the published blueprint. Eligible codes: NY-6.RP.1, NY-6.RP.2, NY-6.RP.3a, NY-6.RP.3b, NY-6.RP.3c, NY-6.RP.3d.

Official response formats

single choice, numeric or short entry, constructed response.

Standards eligible for current Grade 6 forms

• NY-5.G.1: Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates.
• NY-5.G.2: Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation.
• NY-5.OA.1: Apply the order of operations to evaluate numerical expressions.
• NY-5.OA.2: Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them.
• NY-5.OA.3: Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane.
• NY-6.EE.1: Write and evaluate numerical expressions involving whole-number exponents.
• NY-6.EE.2a: Write expressions that record operations with numbers and with letters standing for numbers.
• NY-6.EE.2b: 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.2c: 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: Apply the properties of operations to generate equivalent expressions.
• NY-6.EE.4: Identify when two expressions are equivalent.
• NY-6.EE.5: 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: 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: Solve real-world and mathematical problems by writing and solving equations of the form x + p = q; x – p = q; px = q; and 𝑥𝑥 𝑝𝑝 = q for cases in which p, q, and x are all nonnegative rational numbers.
• NY-6.EE.8: 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.
• NY-6.EE.9: Use variables to represent two quantities in a real-world problem that change in relationship to one another.
• NY-6.G.1: Find area of triangles, trapezoids, and other polygons by composing into rectangles or decomposing into triangles and quadrilaterals. Apply these techniques in the context of solving real-world and mathematical problems.
• NY-6.G.2: Find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems.
• NY-6.G.3: Draw polygons in the coordinate plane given coordinates for the vertices. Use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving real-world and mathematical problems.
• NY-6.G.4: Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems.
• NY-6.G.5: Use area and volume models to explain perfect squares and perfect cubes.
• NY-6.NS.1: Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions.
• NY-6.NS.2: Fluently divide multi-digit numbers using a standard algorithm.
• NY-6.NS.3: Fluently add, subtract, multiply, and divide multi-digit decimals using a standard algorithm for each operation.
• NY-6.NS.4: Find the greatest common factor of two whole numbers less than or equal to 100. 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 other than 1. Find the least common multiple of two whole numbers less than or equal to 12 .
• NY-6.NS.5: Understand that positive and negative numbers are used together to describe quantities having opposite directions or values. Use positive and negative numbers to represent quantities in real- world contexts, explaining the meaning of 0 in each situation.
• NY-6.NS.6a: Recognize opposite signs of numbers as indicating locations on opposite sides of 0 on the number line. Recognize that the opposite of the opposite of a number is the number itself, and that 0 is its own opposite.
• NY-6.NS.6b: Understand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane. Recognize that when two ordered pairs differ only by signs, the locations of the points are related by reflections across one or both axes.
• NY-6.NS.6c: Find and position integers and other rational numbers on a horizontal or vertical number line. Find and position pairs of integers and other rational numbers on a coordinate plane.
• NY-6.NS.7a: Interpret statements of inequality as statements about the relative position of two numbers on a number line.
• NY-6.NS.7b: Write, interpret, and explain statements of order for rational numbers in real -world contexts. e.g., Write –3°C > –7°C to express the fact that –3°C is warmer than –7°C.
• NY-6.NS.7c: Understand the absolute value of a rational number as its distance from 0 on the number line. Interpret absolute value as magnitude for a positive or negative quantity in a real -world situation.
• NY-6.NS.7d: Distinguish comparisons of absolute value from statements about order.
• NY-6.NS.8: Solve real-world and mathematical problems by graphing points on a coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate.
• NY-6.RP.1: Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.
• NY-6.RP.2: Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0 (b not equal to zero), and use rate language in the context of a ratio relationship.
• NY-6.RP.3a: Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios.
• NY-6.RP.3b: Solve unit rate problems.
• NY-6.RP.3c: Find a percent of a quantity as a rate per 100. Solve problems that involve finding the whole given a part and the percent, and finding a part of a whole given the percent.
• NY-6.RP.3d: Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.