### Mathematics II

22012X0 NC

Mathematics 2 is a full year, high school math course for the student who has successfully completed the prerequisite course, Mathematics 1. The course includes concepts in Number and Quantity, Algebra, Functions, Modeling, Geometry, and Statistics and Probability. In it, students will gain solid experience with polynomials, quadratic functions, permutations and combinations, methods of formal proof, congruent figures, and trigonometric basics.

By the end of the course, students will be expected to do the following:

• Graph and solve quadratic equations, including conic sections.

• Solve linear, quadratic and exponential systems of equations using graphing, substitution, or elimination.

• Perform operations with polynomials such as addition and subtraction, multiplication, and factoring.

• Interpret and apply the relationship between the independent and dependent variable in a linear, exponential, and quadratic function through algebraic modeling and applications.

• Understand defined terms, axioms, postulates, and theories.

• Apply rules of formal logic and construct proofs in two-column format.

• Understand trigonometric ratios and know how to use them to solve for unknown sides and angles in given triangles as well as application word problems.

• Calculate perimeter, area, and volume of figures and solids.

• Interpret and construct the graphs and equations of quadratic functions.

• Represent results of motion geometry (translation, rotation, reflection, dilation).

• Calculate simple and complex probabilities using addition, multiplication, permutations, combinations, and frequency tables.

State: North Carolina