Competency 1: Understand numbers and numbering systems -- Competency 2: Understand number theory and operations on numbers -- Competency 3: Apply principles of problem solving -- Competency 4: Understand the properties and representations of functions -- Competency 5: Apply algebraic techniques -- Competency 6: Analyze linear and nonlinear functions and their applications -- Competency 7: Apply knowledge of trigonometry and calculus -- Competency 8: Apply principles of measurement and geometry to solve problems -- Competency 9: Analyze figures and shapes in two and three dimensions -- Competency 10: Analyze figures and shapes using coordinate and transformational geometry -- Competency 11: Apply knowledge of the collection, presentation, and analysis of data -- Competency 12: Understand the principles of probability -- Competency 13: Understand the processes and applications of discrete mathematics -- Competency 14: Understand mathematical connections and communication -- Competency 15: Understand the content and methods for developing students' content -area reading skills to support their reading and learning in mathematics.