What makes Plus Standards different from other high school math courses?

Plus Standards integrates advanced topics like complex numbers, vectors, and matrices typically found in college mathematics, providing exceptional preparation for STEM careers.

How are students assessed in the Plus Standards course?

Assessment emphasizes deep conceptual understanding, mathematical proof techniques, and real-world application of advanced concepts through comprehensive problem-solving.

What career pathways benefit from Plus Standards preparation?

Plus Standards prepares students for engineering, physics, computer science, mathematics, and other STEM fields requiring advanced mathematical reasoning.

What are the key learning outcomes for Plus Standards students?

Students master complex number operations, vector calculations, matrix algebra, advanced trigonometry, and develop sophisticated mathematical modeling skills.

How does Plus Standards prepare students for college mathematics?

The course provides rigorous preparation for calculus and advanced mathematics through exposure to abstract concepts, proof techniques, and mathematical communication.

Courses

More

Plus Standards Course - New York Curriculum

Explore advanced mathematical concepts in the Plus Standards courses with comprehensive coverage of complex numbers, vectors, matrices, and trigonometry. Master challenging topics with structured learning pathways designed for mathematical excellence.

New York Plus Standards Course CurriculumHelp

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.