What are the main topics covered in Grade 6 Math?

Grade 6 Math covers ratios and proportions, the number system, expressions and equations, geometry, statistics, and probability, aligning with NY Common Core standards.

How can parents support their child's Grade 6 Math learning?

Parents can support by reviewing homework, encouraging daily practice, using online resources, and maintaining open communication with teachers about progress and challenges.

What skills should students master by the end of Grade 6 Math?

By year-end, students should understand ratios, work with rational numbers, use algebraic expressions, solve equations, analyze geometric figures, and interpret statistical data.

Are there any standardized tests for Grade 6 Math in NY?

Yes, NY administers state assessments aligned with Common Core standards to evaluate Grade 6 Math proficiency and ensure students are meeting grade-level expectations.

How does Grade 6 Math prepare students for future math courses?

Grade 6 Math builds foundational skills in algebra, geometry, and data analysis, preparing students for pre-algebra, algebra, and more advanced mathematical concepts in later grades.

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Grade 6 Math Courses - NY Curriculum

Discover comprehensive Grade 6 Math courses aligned with NY Common Core standards. Explore key concepts in ratios, fractions, algebra, and geometry to build a strong mathematical foundation.

NY Grade 6 Math Curriculum

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	What is ratio? Ratios

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

Converting among ratios, fractions and decimals

Rates

NY-6.RP.3

Use ratio and rate reasoning to solve real-world and mathematical problems

Rates with fractions

Conversions between metric and imperial systems

Proportions

Applications of percents

NY-6.NS.1

Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions

Dividing fractions and mixed numbers

Applications of fraction operations

NY-6.NS.2

Fluently divide multi-digit numbers using the standard algorithm

Dividing multi-digit numbers

Dividing decimals

NY-6.NS.3

Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation

Adding and subtracting decimals

Multiplying decimals

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

Greatest common factors (GCF)

Least common multiple (LCM)

Introduction to transformations

NY-6.NS.5

Understand that positive and negative numbers are used together to describe quantities having opposite directions or values

Negative numbers and opposite numbers

Introduction to integer addition

Application of integer operations

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

Introduction to absolute value

Cartesian plane

NY-6.NS.7

Understand ordering and absolute value of rational numbers

Comparing and ordering numbers

NY-6.NS.8

Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane

Draw on coordinate planes

Horizontal and vertical distances

NY-6.EE.1

Write and evaluate numerical expressions involving whole-number exponents

Exponent rules

Introduction to exponents

NY-6.EE.2

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

Evaluating algebraic expressions

NY-6.EE.3

Apply the properties of operations to generate equivalent expressions

Order of operations (PEMDAS)

NY-6.EE.4

Identify when two expressions are equivalent

Patterns

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?

Solving one - step equations: x + a = b

Express linear inequalities graphically and algebraically

NY-6.EE.6

Use variables to represent numbers and write expressions when solving a real-world or mathematical problem

Representing patterns in linear relations

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

Model and solve one-step linear equations: ax = b, x/a = b

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

Solving one-step linear inequalities

NY-6.EE.9

Use variables to represent two quantities in a real-world problem that change in relationship to one another

Graphing linear relations

Reading linear relation graphs

Solving linear equations by graphing

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

Area and perimeter of rectangles

Classifying triangles

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

Volume of rectangular prisms word problems

Volume of prisms

NY-6.G.4

Represent three-dimensional figures using nets made up of rectangles and triangles

Nets of 3-dimensional shapes

Introduction to surface area of 3-dimensional shapes

Surface area of prisms

NY-6.G.5

Use area and volume models to explain perfect squares and perfect cubes

Introduction to volume

Squares and square roots

NY-6.SP.1

Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers

Organizing data

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

Median and mode

NY-6.SP.3

Recognize that a measure of center for a numerical data set summarizes all of its values with a single number

Mean

Range and outliers

NY-6.SP.4

Display numerical data in plots on a number line, including dot plots, histograms, and box plots

Reading and drawing histograms

Reading and drawing bar graphs

Box-and-whisker plots and scatter plots

Frequency tables and dot plots

NY-6.SP.5

Summarize numerical data sets in relation to their context

Application of averages

Advantages and disadvantages of different graphs

Critiquing data presentation

NY-6.SP.6

Understand probability as a number between 0 and 1

Introduction to probability

NY-6.SP.7

Approximate probability through long-run relative frequency

Comparing experimental and theoretical probability

NY-6.SP.8

Develop and compare probability models to observed frequencies

Organizing outcomes

Probability of independent events

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