Plus (+) Standards

Master NY Math Plus Standards

Watch advanced math videos, practice with Regents-style problems

Complex numbers were destroying me. The video lessons on polar form made everything click. Went from C to A- in one semester.

Alex Rodriguez

Why Math Plus Standards Students Choose StudyPug

The complete learning system to master NY Math Plus Standards

Search with Photo

Snap a photo of any problem and get the exact lesson

Expert Video Teaching

Certified teachers explain every concept with clear examples

Unlimited Practice

Thousands of practice questions with step-by-step solutions

Get Started

How New York Students Use StudyPug

1

Select Grade Level

Choose your New York grade (K-12) and current math topics.

2

Get Unstuck

Upload homework problems or browse curriculum-aligned lessons.

3

Practice & Master

Work through similar problems until concepts stick.

4

See Results

Track progress and watch grades improve week by week.

NY Math Plus Standards Help: Master Concepts FastHelp

ID	Standard	StudyPug Topic
NY.N-CN.A.3+	Find the conjugate of a complex number; use conjugates to find moduli and quotients of complex numbers.	Complex conjugates Distance and midpoint of complex numbers Angle and absolute value of complex numbers

NY.N-CN.B.4+

Represent complex numbers on the complex plane in rectangular and polar form.

Polar form of complex numbers

NY.N-CN.B.5+

Represent addition, subtraction, multiplication, and conjugation of complex numbers geometrically on the complex plane.

Operations on complex numbers in polar form

NY.N-CN.B.6+

Calculate the distance between numbers in the complex plane as the modulus of the difference, and the midpoint of a segment as the average of the numbers at its endpoints.

Midpoint formula:

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

NY.N-CN.C.8+

Extend polynomial identities to the complex numbers.

Solving polynomials with unknown coefficients

Factoring polynomials: x^2 + bx + c

Applications of polynomials: x^2 + bx + c

Solving polynomials with the unknown "b" from ax^2 + bx + c

Factoring polynomials: ax^2 + bx + c

Factoring perfect square trinomials: (a + b)^2 = a^2 + 2ab + b^2 or (a - b)^2 = a^2 - 2ab + b^2

Find the difference of squares: (a - b)(a + b) = (a^2 - b^2)

NY.N-CN.C.9+

Know the Fundamental Theorem of Algebra; show that it is true for quadratic polynomials.

Word problems of polynomials

Fundamental theorem of algebra

NY.N-VM.A.1+

Recognize vector quantities as having both magnitude and direction. Represent vector quantities by directed line segments, and use appropriate symbols for vectors and their magnitudes.

Use sine ratio to calculate angles and sides (Sin = o / h)

Introduction to vectors

Magnitude of a vector

Direction angle of a vector

NY.N-VM.A.2+

Find the components of a vector by subtracting the coordinates of an initial point from the coordinates of a terminal point.

Distance formula:

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

Scalar multiplication of vectors

Equivalent vectors

NY.N-VM.A.3+

Solve problems involving velocity and other quantities that can be represented by vectors.

Word problems relating guy wire in trigonometry

Word problems on vectors

NY.N-VM.B.4+

Add and subtract vectors.

Slope equation:

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

Adding and subtracting vectors in component form

Operations on vectors in magnitude and direction form

NY.N-VM.B.5+

Multiply a vector by a scalar.

Slope intercept form: y = mx + b

Unit vector

NY.N-VM.C.6+

Use matrices to represent and manipulate data.

Notation of matrices

Adding and subtracting matrices

NY.N-VM.C.7+

Multiply matrices by scalars to produce new matrices.

Scalar multiplication of matrices

NY.N-VM.C.8+

Add, subtract, and multiply matrices of appropriate dimensions.

Matrix multiplication

The three types of matrix row operations

NY.N-VM.C.9+

Understand that matrix multiplication for square matrices is not a commutative operation, but still satisfies the associative and distributive properties.

Properties of matrix multiplication

NY.N-VM.C.10+

Understand that the zero and identity matrices play a role in matrix addition and multiplication similar to the role of 0 and 1 in the real numbers. The determinant of a square matrix is nonzero if and only if the matrix has a multiplicative inverse.

Zero matrix

Identity matrix

The determinant of a 2 x 2 matrix

The determinant of a 3 x 3 matrix (General & Shortcut Method)

The Inverse of a 2 x 2 matrix

NY.N-VM.C.11+

Multiply a vector (regarded as a matrix with one column) by a matrix of suitable dimensions to produce another vector. Work with matrices as transformations of vectors.

Transforming vectors with matrices

Transforming shapes with matrices

NY.N-VM.C.12+

Work with 2 × 2 matrices as transformations of the plane, and interpret the absolute value of the determinant in terms of area.

Finding the transformation matrix

NY.A-APR.C.5+

Know and apply the Binomial Theorem for the expansion of (x + y)^n in powers of x and y for a positive integer n, where x and y are any numbers.

Pascal's triangle

Binomial theorem

Determining the equation of a polynomial function

NY.A-APR.D.7+

Understand that rational expressions form a system analogous to the rational numbers, closed under addition, subtraction, multiplication, and division by a nonzero rational expression; add, subtract, multiply, and divide rational expressions.

Negative exponent rule

Multiplying rational expressions

Dividing rational expressions

Descartes' rule of signs

NY.F-BF.B.5+

Understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents.

Product rule of logarithms

Solving exponential equations with logarithms

What is a logarithm?

Converting from logarithmic form to exponential form

Evaluating logarithms without a calculator

Common logarithms

Natural log: ln

Evaluating logarithms using change-of-base formula

Converting from exponential form to logarithmic form

NY.F-TF.A.3+

Use special triangles to determine geometrically the values of sine, cosine, tangent for π/3, π/4 and π/6, and use the unit circle to express the values of sine, cosine, and tangent for π–x, π+x, and 2π–x in terms of their values for x.

Find the exact value of trigonometric ratios

Solving expressions using 45-45-90 special right triangles

Solving expressions using 30-60-90 special right triangles

NY.F-TF.C.8+

Prove the Pythagorean identity sin^2(θ) + cos^2(θ) = 1 and use it to find sin(θ), cos(θ), or tan(θ) given sin(θ), cos(θ), or tan(θ) and the quadrant of the angle.

Pythagorean identities

NY.F-TF.C.9+

Prove the addition and subtraction formulas for sine, cosine, and tangent and use them to solve problems.

Sum and difference identities

Double-angle identities

Cofunction identities

NY.G-SRT.D.9+

Derive the formula A = 1/2 ab sin(C) for the area of a triangle by drawing an auxiliary line from a vertex perpendicular to the opposite side.

Area of triangles: 1/2 a*b sin(C)

NY.G-SRT.D.10+

Prove the Laws of Sines and Cosines and use them to solve problems.

Law of sines

Law of cosines

NY.G-SRT.D.11+

Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and non-right triangles.

Applications of the sine law and cosine law

Complete New York Math Plus Standards Coverage

Math Plus Lessons

70

Video Explanations

488

Practice Problems

745

New York Standards

100% Aligned

Why New York Math Plus Students Love StudyPug

Get Started

Success Stories

New York Plus (+) Standards Math FAQ

We’ve got answers to some popular questions.

What are the main topics covered in Grade 1 math in Alberta?

Grade 1 math in Alberta covers counting to 100, basic addition and subtraction within 20, introduction to fractions (halves), shape recognition, and simple data representation through concrete graphs.

How can I help my child transition from kindergarten to Grade 1 math?

Encourage counting during daily activities, practice simple addition with objects, and explore shapes in your environment. Maintaining a positive attitude towards math is crucial for a smooth transition.

Are there specific math skills my child should master by the end of Grade 1?

By the end of Grade 1, children should confidently count to 100, add and subtract within 20, recognize basic shapes, understand the concept of half, and create simple concrete graphs.

How StudyPug Works

Get Started

Practice Smart, See Real Progress

Unlimited Targeted Practice

10,000+ questions adjust to your exact skill level. Never run out of problems that challenge you.

Visual Progress Tracking

See mastery percentage for every topic. Parents get weekly progress emails automatically.

Achievement System

Earn badges for consistency and improvement. Build learning streaks that motivate daily practice

Detailed Analytics

Time spent, problems solved, concepts mastered. Identify exactly where more practice is needed.

End Math Struggles Today

New York standard-aligned help that actually works

Get Started

Master NY Math Plus Standards

Watch advanced math videos, practice with Regents-style problems

Why Math Plus Standards Students Choose StudyPug

Search with Photo

Expert Video Teaching

Unlimited Practice

How New York Students Use StudyPug

1

Select Grade Level

2

Get Unstuck

3

Practice & Master

4

See Results

NY Math Plus Standards Help: Master Concepts FastHelp

ID

Standard

StudyPug Topic

NY.N-CN.A.3+

Find the conjugate of a complex number; use conjugates to find moduli and quotients of complex numbers.

NY.N-CN.B.4+

Represent complex numbers on the complex plane in rectangular and polar form.

NY.N-CN.B.5+

Represent addition, subtraction, multiplication, and conjugation of complex numbers geometrically on the complex plane.

NY.N-CN.B.6+

Calculate the distance between numbers in the complex plane as the modulus of the difference, and the midpoint of a segment as the average of the numbers at its endpoints.

NY.N-CN.C.8+

Extend polynomial identities to the complex numbers.

NY.N-CN.C.9+

Know the Fundamental Theorem of Algebra; show that it is true for quadratic polynomials.

NY.N-VM.A.1+

Recognize vector quantities as having both magnitude and direction. Represent vector quantities by directed line segments, and use appropriate symbols for vectors and their magnitudes.

NY.N-VM.A.2+

Find the components of a vector by subtracting the coordinates of an initial point from the coordinates of a terminal point.

NY.N-VM.A.3+

Solve problems involving velocity and other quantities that can be represented by vectors.

NY.N-VM.B.4+

Add and subtract vectors.

NY.N-VM.B.5+

Multiply a vector by a scalar.

NY.N-VM.C.6+

Use matrices to represent and manipulate data.

NY.N-VM.C.7+

Multiply matrices by scalars to produce new matrices.

NY.N-VM.C.8+

Add, subtract, and multiply matrices of appropriate dimensions.

NY.N-VM.C.9+

Understand that matrix multiplication for square matrices is not a commutative operation, but still satisfies the associative and distributive properties.

NY.N-VM.C.10+

Understand that the zero and identity matrices play a role in matrix addition and multiplication similar to the role of 0 and 1 in the real numbers. The determinant of a square matrix is nonzero if and only if the matrix has a multiplicative inverse.

NY.N-VM.C.11+

Multiply a vector (regarded as a matrix with one column) by a matrix of suitable dimensions to produce another vector. Work with matrices as transformations of vectors.

NY.N-VM.C.12+

Work with 2 × 2 matrices as transformations of the plane, and interpret the absolute value of the determinant in terms of area.

NY.A-APR.C.5+

Know and apply the Binomial Theorem for the expansion of (x + y)^n in powers of x and y for a positive integer n, where x and y are any numbers.

NY.A-APR.D.7+

Understand that rational expressions form a system analogous to the rational numbers, closed under addition, subtraction, multiplication, and division by a nonzero rational expression; add, subtract, multiply, and divide rational expressions.

NY.F-BF.B.5+

Understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents.

NY.F-TF.A.3+

Use special triangles to determine geometrically the values of sine, cosine, tangent for π/3, π/4 and π/6, and use the unit circle to express the values of sine, cosine, and tangent for π–x, π+x, and 2π–x in terms of their values for x.

NY.F-TF.C.8+

Prove the Pythagorean identity sin^2(θ) + cos^2(θ) = 1 and use it to find sin(θ), cos(θ), or tan(θ) given sin(θ), cos(θ), or tan(θ) and the quadrant of the angle.

NY.F-TF.C.9+

Prove the addition and subtraction formulas for sine, cosine, and tangent and use them to solve problems.

NY.G-SRT.D.9+

Derive the formula A = 1/2 ab sin(C) for the area of a triangle by drawing an auxiliary line from a vertex perpendicular to the opposite side.

NY.G-SRT.D.10+

Prove the Laws of Sines and Cosines and use them to solve problems.

NY.G-SRT.D.11+

Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and non-right triangles.

Complete New York Math Plus Standards Coverage

70

488

745

100% Aligned

See All Topics

Why New York Math Plus Students Love StudyPug