
HIGH SCHOOL MATH 
GEORGIA STANDARDS OF EXCELLENCE FOR HIGH SCHOOL MATH
COURTESY OF: https://www.georgiastandards.org/GeorgiaStandards/Documents/HighSchoolMathematicsStandards.pdf
Mathematics  High School
The high school standards specify the mathematics that all students should study in order to be college and career ready. The standards are listed in conceptual categories which portray a coherent view of high school mathematics:
 Number and Quantity
 Algebra
 Functions
 Geometry
 Statistics and Probability
Mathematics  High School — Number and Quantity
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.
Mathematics  High School — Algebra
Seeing Structure in Expressions
 Interpret the structure of expressions
 Write expressions in equivalent forms to solve problems
Arithmetic with Polynomials and Rational Expressions
 Perform arithmetic operations on polynomials
 Understand the relationship between zeros and factors of polynomials
 Use polynomial identities to solve problems
 Rewrite rational expressions
Creating Equations
 Create equations that describe numbers or relationships
Reasoning with Equations and Inequalities
 Understand solving equations as a process of reasoning and explain the reasoning
 Solve equations and inequalities in one variable
 Solve systems of equations
 Represent and solve equations and inequalities graphically
Mathematics  High School — Functions
Interpreting Functions
 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
Building Functions
 Build a function that models a relationship between two quantities
 Build new functions from existing functions
Linear, Quadratic, and Exponential Models
 Construct and compare linear, quadratic, and exponential models and solve problems
 Interpret expressions for functions in terms of the situation they model
Trigonometric Functions
 Extend the domain of trigonometric functions using the unit circle
 Model periodic phenomena with trigonometric functions
 Prove and apply trigonometric identities
Mathematics  High School — Geometry
Congruence
 Experiment with transformations in the plane
 Understand congruence in terms of rigid motions
 Prove geometric theorems
 Make geometric constructions
Similarity, Right Triangles, and Trigonometry
 Understand similarity in terms of similarity transformations
 Prove theorems involving similarity
 Define trigonometric ratios and solve problems involving right triangles
 Apply trigonometry to general triangles
Circles
 Understand and apply theorems about circles
 Find arc lengths and areas of sectors of circles
Expressing Geometric Properties with Equations
 Translate between the geometric description and the equation for a conic section
 Use coordinates to prove simple geometric theorems algebraically
Geometric Measurement and Dimension
 Explain volume formulas and use them to solve problems
 Visualize relationships between twodimensional and threedimensional objects
Modeling with Geometry
 Apply geometric concepts in modeling situations
Mathematics  High School — Statistics and Probability
Interpreting Categorical and Quantitative Data
 Summarize, represent, and interpret data on a single count or measurement variable
 Summarize, represent, and interpret data on two categorical and quantitative variables
 Interpret linear models
Making Inferences and Justifying Conclusions
 Understand and evaluate random processes underlying statistical experiments
 Make inferences and justify conclusions from sample surveys, experiments and observational studies
Conditional Probability and the Rules of Probability
 Understand independence and conditional probability and use them to interpret data
 Use the rules of probability to compute probabilities of compound events in a uniform probability model
Using Probability to Make Decisions
 Calculate expected values and use them to solve problems
 Use probability to evaluate outcomes of decisions