1.) Analyze topics from elementary number theory, including perfect numbers and prime numbers, to determine properties of integers. (Alabama)

2.) Determine characteristics of sequences, including the Fibonacci sequence, the triangular numbers, and pentagonal numbers. (Alabama)

3.) Use the recursive process and difference equations to create fractals, population growth models, sequences, series, and compound interest models. (Alabama)

4.) Convert between base ten and other bases. (Alabama)

5.) Determine results of operations upon 3 x 3 and larger matrices, including matrix addition and multiplication of a matrix by a matrix, vector, or scalar. (Alabama)

6.) Analyze determinants and inverses of 2 x 2, 3 x 3, and larger matrices to determine the nature of the solution set of the corresponding system of equations, including solving systems of equations in three variables by echelon row reduction and matrix inverse. (Alabama)

7.) Solve problems through investigation and application of existence and nonexistence of Euler paths, Euler circuits, Hamilton paths, and Hamilton circuits. (Alabama)

8.) Apply algorithms, including Kruskal's and Prim's, relating to minimum weight spanning trees, networks, flows, and Steiner trees. (Alabama)

9.) Determine a minimum project time using algorithms to schedule tasks in order, including critical path analysis, the list-processing algorithm, and student-created algorithms. (Alabama)

10.) Use vertex-coloring techniques and matching techniques to solve application-based problems. (Alabama)

11.) Solve application-based logic problems using Venn diagrams, truth tables, and matrices. (Alabama)

12.) Use combinatorial reasoning and counting techniques to solve application-based problems. (Alabama)

13.) Analyze election data to compare election methods and voting apportionment, including determining strength within specific groups. (Alabama)