New YorkNew York 6th Grade Math Curriculum
Video lessons and practice for every 6th grade math topic. Aligned to NYS Next Generation Mathematics Learning Standards for New York students.
New York 6th Grade Math Curriculum | StudyPugHelp
ID | Math Standard Description | StudyPug Topic |
|---|---|---|
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, and use rate language in the context of a ratio relationship |
NY-6.RP.3 | Use ratio and rate reasoning to solve real-world and mathematical problems |
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 the standard algorithm |
NY-6.NS.3 | Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation |
NY-6.NS.4 | 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 |
NY-6.NS.5 | Understand that positive and negative numbers are used together to describe quantities having opposite directions or values |
NY-6.NS.6 | Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes to represent points on the line and in the plane with negative number coordinates |
NY-6.NS.7 | Understand ordering and absolute value of rational numbers |
NY-6.NS.8 | Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane |
NY-6.EE.1 | 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.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? |
NY-6.EE.6 | Use variables to represent numbers and write expressions when solving a real-world or mathematical problem |
NY-6.EE.7 | Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = 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 or x < c to represent a constraint or condition in a real-world or mathematical problem |
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 the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes |
NY-6.G.2 | Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths |
NY-6.G.4 | Represent three-dimensional figures using nets made up of rectangles and triangles |
NY-6.G.5 | Use area and volume models to explain perfect squares and perfect cubes |
NY-6.SP.2 | Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape |
NY-6.SP.3 | Recognize that a measure of center for a numerical data set summarizes all of its values with a single number |
NY-6.SP.4 | Display numerical data in plots on a number line, including dot plots, histograms, and box plots |
NY-6.SP.5 | Summarize numerical data sets in relation to their context |
NY-6.SP.6 | Understand probability as a number between 0 and 1 |
NY-6.SP.7 | Approximate probability through long-run relative frequency |
NY-6.SP.8 | Develop and compare probability models to observed frequencies |
6th Grade Math Topics in New York
New York's 6th grade math curriculum follows the NYS Next Generation Mathematics Learning Standards. Students tackle a wide range of topics that build the foundation for middle school algebra and beyond. StudyPug covers every one of these topics with video lessons and practice problems.
Ratios and Rates
Students learn to describe ratio relationships between two quantities and use unit rate language in real-world contexts. They apply ratio and rate reasoning to solve problems involving percentages, measurement conversions, and tables of equivalent ratios.
Number System
6th graders divide fractions by fractions, fluently divide multi-digit numbers, and work with multi-digit decimals using standard algorithms. They also explore integers and rational numbers on the number line, including negative coordinates in all four quadrants of the coordinate plane.
Expressions and Equations
Students write and evaluate numerical expressions with whole-number exponents, read and evaluate algebraic expressions, and apply properties of operations to generate equivalent expressions. They solve real-world equations of the form x + p = q and px = q, and write inequalities to represent constraints.
Geometry
6th grade geometry covers finding areas of triangles, quadrilaterals, and polygons by composing and decomposing shapes. Students find volumes of rectangular prisms with fractional edge lengths, draw polygons in the coordinate plane, and use nets to represent three-dimensional figures.
Statistics and Probability
Students distinguish statistical questions, describe data distributions by center and spread, and display data using dot plots, histograms, and box plots. They also understand probability as a number between 0 and 1 and approximate probability through relative frequency.
How StudyPug Helps New York 6th Graders
- Video lessons aligned to every NYS Next Generation Mathematics Learning Standards topic
- Practice problems with step-by-step solutions after every lesson
- Homework help available anytime on any device
- Short lessons students can replay until the concept clicks
- Full preparation for the New York State Grade 6 Math Test