Mathematics

Algebra

+ Interpret the structure of expressions, Write expressions in equivalent forms to solve problems

+ Solve equations and inequalities in one variable, Represent and solve equations and inequalities graphically

+ Solve systems of equations

+ Understand the concept of a function and use function notation

+ Interpret functions that arise in applications in terms of the context, Analyze functions using different representations

+ Analyze functions using different representations, Build a function that models a relationship between two quantities, Build new functions from existing functions

+ Construct and compare linear and exponential models and solve problems, Interpret expressions for functions in terms of the situation they model

+ Extend the domain of trigonometric functions using the unit circle, Model periodic phenomena with trigonometric functions

+ Represent and model with vector quantities, Perform operations on vectors

Geometry

+ Transformations for 2D and 3D shapes, Understand congruence in terms of transformation, Prove geometric theorems, Understand similarity in terms of similarity transformations, Prove theorems involving similarity

+ Solve problems involving right triangles, Apply trigonometry to general triangles

+ Translate between the geometric description and the equation for a conic section

+ Use coordinates to prove simple geometric theorems algebraically

+ Visualize relationships between 2D and 3D objects

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