New York

Math

Kindergarten

Grade 1

Grade 2

Grade 3

Grade 4

Grade 5

Grade 6

Grade 7

Grade 8

Grade 9

Grade 10

Grade 11

Grade 12

Grade 8 Math Courses - NY Curriculum

Discover comprehensive Grade 8 math courses aligned with NY Common Core standards. From algebra to geometry, our curriculum prepares students for high school math success and beyond.

NY Grade 8 Math Curriculum

Print

ID	Math Standard Description	StudyPug Topic
NY-8.NS.1	Know that numbers that are not rational are called irrational	Rational vs. Irrational numbers Understanding the number systems Converting repeating decimals to fractions

NY-8.NS.2

Use rational approximations of irrational numbers to compare the size of irrational numbers

Estimating square roots

Solving problems with rational numbers in decimal form

Solving problems with rational numbers in fraction form

Determine square roots of rational numbers

NY-8.EE.1

Know and apply the properties of integer exponents to generate equivalent numerical expressions

Combining the exponent rules

Quotient rule of exponents

Power of a product rule

Power of a quotient rule

Power of a power rule

Using exponents to describe numbers

Order of operations with exponents

Using exponents to solve problems

Product rule of exponents

NY-8.EE.2

Use square root and cube root symbols to represent solutions to equations

Cubic and cube roots

Square and square roots

Converting radicals to mixed radicals

Converting radicals to entire radicals

Squares and square roots

NY-8.EE.3

Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities

Scientific notation

NY-8.EE.4

Perform operations with numbers expressed in scientific notation

Conversions between metric and imperial systems

Imperial systems

Conversions involving squares and cubic

NY-8.EE.5

Graph proportional relationships, interpreting the unit rate as the slope of the graph

Graphing from slope-intercept form y=mx+b

Understanding tables of values of linear relationships

Applications of linear relationships

Identifying proportional relationships

NY-8.EE.6

Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane

Graphing linear functions using a single point and slope

Slope equation:

m = \frac{y_2-y_1}{x_2- x_1}

Slope intercept form: y = mx + b

Parallel line equation

Perpendicular line equation

NY-8.EE.7

Solve linear equations in one variable

Introduction to linear equations

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

Solving two-step linear equations using addition and subtraction: ax + b = c

Solving two-step linear equations using multiplication and division: x/a + b = c

Solving two-step linear equations using distributive property: a(x + b) = c

Solving literal equations

NY-8.EE.8

Analyze and solve pairs of simultaneous linear equations

Solving systems of linear equations by elimination

Money related questions in linear equations

Unknown number related questions in linear equations

Distance and time related questions in linear equations

Rectangular shape related questions in linear equations

Determining number of solutions to linear equations

Solving systems of linear equations by graphing

Solving systems of linear equations by substitution

NY-8.F.1

Understand that a function is a rule that assigns to each input exactly one output

Identifying functions

Relationship between two variables

NY-8.F.2

Compare properties of two functions each represented in a different way

Function notation

NY-8.F.3

Interpret the equation y = mx + b as defining a linear function

Introduction to nonlinear equations

NY-8.F.4

Construct a function to model a linear relationship between two quantities

Applications of linear relations

Parallel and perpendicular lines in linear functions

Representing patterns in linear relations

Reading linear relation graphs

Solving linear equations by graphing

NY-8.F.5

Describe qualitatively the functional relationship between two quantities by analyzing a graph

Understanding graphs of linear relationships

Understand relations between x- and y-intercepts

Domain and range of a function

NY-8.G.1

Verify experimentally the properties of rotations, reflections, and translations

Tessellations using translations and reflections

Rotational symmetry and transformations

NY-8.G.2

Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations

Congruence and congruent triangles

Understanding tessellations

NY-8.G.3

Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates

Tessellations using rotations

Enlargements and reductions with scale factors

NY-8.G.4

Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations

Similar polygons

Similar triangles

NY-8.G.5

Use informal arguments to establish facts about the angle sum and exterior angle of triangles

Isosceles and equilateral triangles

Classifying triangles

NY-8.G.6

Explain a proof of the Pythagorean Theorem and its converse

Pythagorean theorem

NY-8.G.7

Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions

Applications of pythagorean theorem

Using the pythagorean relationship

NY-8.G.8

Apply the Pythagorean Theorem to find the distance between two points in a coordinate system

Distance formula:

d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Midpoint formula:

M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)

NY-8.G.9

Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems

Word problems relating volume of prisms and cylinders

Surface area and volume of prisms

Surface area and volume of pyramids

Surface area and volume of cylinders

Surface area and volume of cones

Surface area and volume of spheres

NY-8.SP.1

Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities

Box-and-whisker plots and scatter plots

NY-8.SP.2

Know that straight lines are widely used to model relationships between two quantitative variables

Graphing linear functions using table of values

Graphing linear functions using x- and y-intercepts

Word problems of graphing linear functions

NY-8.SP.4

Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a two-way table

Reading and drawing Venn diagrams

© 2015 – 2025 StudyPug

Sitemap

Terms of Service

Privacy Policy