BPS District Mathematics Standards Book
Math Learning Progressions
[N] Number and Quantity
Math Learning Progressions HS Math Concepts
[N] Number and Quantity
K  1  2  3  4  5  6  7  8 
[CC] Counting and Cardinality 

[NBT] Number and Operations in Base Ten 
[RP] Ratios and Proportional Relationships 

[NF] Number and Operations  Fractions 
[NS] The Number System 
Studentsâ€™ prior knowledge includes:
 Students know that there are numbers that are not rational, and approximate them by rational numbers (grade 8)
 Students apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers (grade 7)
The Real Number System
 Extend the properties of exponents to rational exponents.
 Use properties of rational and irrational numbers.
Quantities
 Reason quantitatively and use units to solve problems
The Complex Number System
 Perform arithmetic operations with complex numbers.
 Represent complex numbers and their operations on the complex plane.
 Use complex numbers in polynomial identities and equations
Vector and Matrix Quantities
 Represent and model with vector quantities.
 Perform operations on vectors.
 Perform operations on matrices and use matrices in applications.
MATHS.N Overview: [N] Number and Quantity
MATHS.NRN Domain: [NRN] The Real Number System

 MATHS.NRN.01 Explain how rational exponents are like integer exponents with radical notation
 MATHS.NRN.02 Apply properties of exponents to expressions with radicals/rational exponents
 MATHS.NRN.03 Explain which sums or products of two numbers are rational or irrational, why
 MATHS.NRN.04 Perform basic operations on radicals and simplify radicals to write equivalent expressions
MATHS.NQ Domain: [NQ] Quantities*

 MATHS.NQ.01 Use units to understand and guide the solution of multistep problems
 MATHS.NQ.02 Define appropriate quantities for the purpose of modeling
 MATHS.NQ.03 Report quantities at a level of accuracy reflecting limitations on measurement
MATHS.NCN Domain: [NCN] The Complex Number System

 MATHS.NCN.01 Know that every complex number has the form a + bi with a and b real
 MATHS.NCN.02 Use the relation i^2 1 and commutative/associative/distributive properties
 MATHS.NCN.03 Find the conjugate of a complex number
 MATHS.NCN.04 Represent complex numbers on complex plane in rectangular and polar form
 MATHS.NCN.05 Represent +, , x, and conjugation of complex numbers geometrically
 MATHS.NCN.06 Calculate the distance between numbers in the complex plane
 MATHS.NCN.07 Solve quadratic equations with real coefficients that have complex solutions
 MATHS.NCN.08 Extend polynomial identities to the complex numbers
 MATHS.NCN.09 Show the Fundamental Theorem of Algebra is true for quadratic polynomials
MATHS.NVM Domain: [NVM] Vector and Matrix Quantities

 MATHS.NVM.01 Recognize vector quantities as having both magnitude and direction
 MATHS.NVM.02 Find the components of a vector by subtracting the coordinates
 MATHS.NVM.03 Solve problems involving velocity that can be represented by vectors
 MATHS.NVM.04 Add and subtract vectors
 NVM.04.a Add vectors endtoend, componentwise, and by the parallelogram rule
 NVM.04.b Given two vectors, determine the magnitude and direction of their sum
 NVM.04.c Understand vector subtraction
 MATHS.NVM.05 Multiply a vector by a scalar
 NVM.05.a Represent and perform scalar multiplication graphically by scaling vectors
 NVM.05.b Compute the magnitude of a scalar multiple
 MATHS.NVM.06 Use matrices to represent and manipulate data
 MATHS.NVM.07 Multiply matrices by scalars to produce new matrices
 MATHS.NVM.08 Add, subtract, and multiply matrices of appropriate dimensions
 MATHS.NVM.09 Understand matrix multiplication for square matrices is not commutative
 MATHS.NVM.10 Understand that the 0 and identity matrices play a role in matrix + and x
 MATHS.NVM.11 Multiply a vector by a matrix to produce another vector
 MATHS.NVM.12 Work with 2 x 2 matrices as transformations of the plane
A Sample of HS Math Concept Number and Quantity to Become Ready for College and Career
The Real Number System
 Extend the properties of exponents to rational exponents.
 Use properties of rational and irrational numbers.
Quantities
 Reason quantitatively and use units to solve problems.
The Complex Number System
 Perform arithmetic operations with complex numbers.
 Represent complex numbers and their operations on the complex plane.
 Use complex numbers in polynomial identities and equations.
Vector and Matrix Quantities
 Represent and model with vector quantities.
 Perform operations on vectors.
 Perform operations on matrices and use matrices in applications.