# Mathematics

## Grade HS

## Reasoning with Equations and Inequalities

### CC.HS.A.REI.11

Represent and solve equations and inequalities graphically.

Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Include cases where f(x) and/or g(x) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions.

## Building Functions

### CC.HS.F.BF.1a

Build a function that models a relationship between two quantities.

Write a function that describes a relationship between two quantities.

Determine an explicit expression, a recursive process, or steps for calculation from a context.

## Congruence

### CC.HS.G.CO.8

Understand congruence in terms of rigid motions.

Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions.

## Similarity, Right Triangles, and Trigonometry

### CC.HS.G.SRT.2

Understand similarity in terms of similarity transformations.

Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides.

## The Complex Number System

### CC.HS.N.CN.8

(+) Use complex numbers in polynomial identities and equations.

Extend polynomial identities to the complex numbers.