Mrs. Jones

Advanced Placement Statistics
Students should be able to explore data by observing patterns and departures from patterns.  Students should be able to plan a study by deciding what and how to measure.  Students should be able to anticipate patterns by producing models using probability theory and simulation.  Finally, students should be able to use statistical inference to guide the selection of appropriate models.
Goals of the Advanced Placement Program.

                                                              

Advanced Placement Calculus
Students should be able to work with functions represented in a variety of ways: graphical, numerical, analytical, or verbal.  They should understand the connections among these representations.  Students should understand the meaning of the derivative in terms of a rate of change and local linear approximation and should be able to use derivatives to solve a variety of problems.  Students should understand the meaning of the definite integral both as a limit of Riemann sums and as the net accumulation of rate of change and should be able to use integrals to solve a variety of problems.  Students should understand the relationship between the derivative and the definite integral as expressed in both parts of the Fundamental Theorem of Calculus.  Students should be able to communicate mathematics both orally and in well-written sentences and should be able to explain solutions to problems.  Students should be able to model a written description of a physical situation with a function, a differential equation, or an integral.  Students should be able to use technology to help solve problems, experiment, interpret results, and verify conclusions.  Students should be able to determine the reasonableness of solutions, including sign, size, relative accuracy, and units of measurement.  Students should develop an appreciation of calculus as a coherent body of knowledge and as a human accomplishment. 
Goals of the Advanced Placement Program

                                                             

Advanced Math
Students will study polynomial, exponential, logarithmic, and trigonometric functions.   Students will also do a study of analytical geometry.  Finally, students will study discrete mathematics.  This will include combinatorics, probability, linear programming, and matrix operations. 

                                                                                    

Algebra II
Students will review Algebra I in depth.  Then they will study complex numbers, quadratic equations and functions and polynomial equations.  Also, they will study the conic sections---circles, parabolas, ellipses, and hyperbolas.  They will learn to solve quadratic systems.  Students will spend time studying exponential and logarithmic functions.  Students will study sequences and series, and probability.

                                      

                             

Geometry
Students will use algebra concepts and skills throughout geometry.  Students will develop their deductive reasoning skills by providing informal justifications and by writing formal two-column and paragraph proofs.  Students will study areas of plane figures and areas and volumes of solids with more detail than in junior high.  Students will spend time on trigonometry---sine, cosine and tangent ratio.    Students will spend time on coordinate geometry---it will be integrated throughout the course.  Students will use proportions and similar triangles in preparing scale drawings.  Students will also do constructions to reinforce theorems.

                                                                                       

Dual Enrollment College Algebra
Students will study polynomial, exponential, rational, and logarithmic functions.  They will be able to find their zeros, maxima, minima, increasing and decreasing intervals.  Students will also study various inequalities.  Also, they will use the graphing calculator to find the line of best fit, cubic equations, quadratic equations, exponential equations, power equations, logistic equations, and logarithmic equations if they are given a set of points.
                     

                                                                      Class Schedule                              

                                              Early Bird-------Algebra II

                                              1st period-----Prep

                                              2nd period----Geometry

                                              3rd period-----Advanced Math

                                              4th period-----AP Calculus

                                              5th period-----AP Statistics

                                              6th period----Dual Enrollment College Algebra

                                              7th period-----Algebra I