Number and Quantity 
 use relationships and elementary number concepts to explain, solve, and/or draw conclusions for complex realworld and mathematical problems
 compare the characteristics of the real number system and the complex number system
 recognize, identify, and apply basic properties of matrices
 recognize and identify inverse, zero, and identity matrices

Algebra and Functions 
 solve realworld and mathematical problems that require combining multiple algebraic concepts
 formulate expressions, equations, and inequalities that require planning to accurately model realworld and mathematical problems (e.g., direct and inverse variation)
 create algebraic models that involve planning, strategic manipulation, or integrating concepts
 use algebraic expressions to model realworld and mathematical problems

Algebra 
 compare the characteristics of basic function families (e.g., linear, power, exponential)
 compare explicit and recursive formulas for arithmetic and geometric sequences
 explore geometric models where unit circle trigonometry and basic identities can be used to solve realworld and mathematical problems
 describe the relationship between exponents and logarithms

Functions 
 compare the characteristics of basic function families (e.g., linear, power, exponential)
 compare explicit and recursive formulas for arithmetic and geometric sequences
 explore geometric models where unit circle trigonometry and basic identities can be used to solve realworld and mathematical problems
 describe the relationship between exponents and logarithms

Geometry 
 investigate angle and arc relationships for circles
 examine and compare a variety of methods to find areas of composite figures and construct scale drawings
 model appropriate geometric objects as a composite of rectangular solids, pyramids, cylinders, cones, spheres, half cylinders, and/or hemispheres
 model appropriate geometric objects as a composite of sectors of circles, circles, semicircles, triangles, and/or rectangles
 make generalizations, draw conclusions based on conditional statements, and offer solutions that involve connecting mathematics with other content areas

Statistics and Probability 
 describe how a measure of central tendency for a numerical data set summarizes all of its values with a single number
 design and conduct probability investigations (e.g., identify how the margin of error is determined), and then determine, analyze, and communicate the results
 identify techniques for generating a random sample
 organize and interpret data generated from a random sample
 create statistical models that involve planning, strategic manipulation, and/or integrating concepts
 compare actual values and model values to judge the fit of the model
