MATH PROGRAM

All students will be pre-assessed using two measures for placement. The AGS Math level indicator assessment will be used to place students in the appropriate course. The PLATO pre-assessment will be used for placement in the PLATO program as a required elective

Algebra 1A – 2000
Inclusion -2001
Prerequisite: 8th grade math

Algebra 1A is intended for students who have taken a pre-Algebra style course at their home school, but have scored at less than the 65th percentile on the AGS math-level indicator assessment.  This course covers topics including numbers and operations, formulas, equation solving, equation graphing, functions and probability.  It is the first of two courses that when put together are the equivalent of Algebra 1.

Algebra 1B –2050
Inclusion- 2051
Prerequisite: Algebra 1A, Geometry course

Algebra 1B is intended for students who have successfully completed Algebra 1A and have already taken a geometry course.  This course covers topics including statistics, systems of equations, inequalities and polynomials plus review of topics from Algebra 1A.  It is the second of two courses that when put together are the equivalent of Algebra 1.

Algebra 1 – 2100
Prerequisite: A score at the 65th percentile or higher on the AGS math level indicator assessment or by recommendation.
  
Algebra 1 is intended for students who have successfully completed a pre-Algebra style course.  The skills taught in this course include topics on linear equations, inequalities, polynomials, functions, probability and statistics.
 

Basic Geometry – 2150
Prerequisite:  Algebra 1A
Basic Geometry is a course intended for students who have scored below a 75% in Algebra 1A.  The course covers concrete geometry topics from the eligible content for PSSA. 

Geometry – 2200
Prerequisite:  Algebra 1 or Algebra 1A
Geometry is intended for students in who have passed Algebra 1 or have passed Algebra 1A with at least a 75%.  This course covers the theorems of Euclidean Geometry. 

                         
Geometry Plus  - 2250
Prerequisite:  Algebra 1 or Algebra 1A Teacher recommendation is suggested.
Geometry Plus is a geometry course that is taught to a group of students who have very strong math skills.  Students in this course should have passed Algebra 1 with at least an 80% or Algebra 1A with at least a 90%.  This course also covers the theorems of Euclidean Geometry, but will be more in-depth than Geometry.

Intermediate Algebra – 2300
Prerequisite: The prerequisite for Intermediate Algebra for ninth graders is Algebra 1 or Algebra 1B.  The prerequisites for tenth, eleventh or twelfth graders also include a geometry course.
Intermediate Algebra is suggested for those students whose average in Algebra 1 or Algebra 1B is less than 80%.  It offers a review of topics from Algebra 1 as well as an introduction to topics in Algebra 2.  It is designed for students who need reinforcement of topics from Algebra 1.

Algebra 2 – 2350
Prerequisite: The prerequisite for Algebra 2 for ninth graders is Algebra 1, Algebra 1B or Intermediate Algebra.  The prerequisites for tenth, eleventh and twelfth graders also include a geometry course.
Algebra 2 is intended for students who have completed Algebra 1 or Algebra 1B with an average of at least an 80% or who have completed Intermediate Algebra.  It is a continuation of the skills taught in Algebra I.  Topics include quadratic expressions, radicals and complex numbers.

Advanced Algebra and Functions 1- 2400
Grade Placement: 10, 11, 12
Prerequisite: The prerequisites are Algebra I, Geometry, and Algebra II with a passing grade of 75%.

Advanced Algebra and Functions 1 is intended for students who have passed Algebra II with an average of at least 75%.  Students will study graphing and applications of conic sections, find roots and zeros of polynomial functions and rational polynomial expressions, and will be able to calculate with and graph exponential and logarithmic functions. Upon completion of these concepts, students will focus on concepts of statistics and probability including box-and-whisker plots, the normal distribution and standard deviation, counting principles and permutations. Students will be encouraged to use graphing calculators similar to the TI-83+ as a learning aid for some of the topics. 

Advanced Algebra and Functions 2 - 2425
Grade Placement: 10, 11, 12
Prerequisite: The prerequisites are Algebra I, Geometry, Algebra II, and Advanced Algebra and Functions 1  with  a  passing grade of  70%.

Advanced Algebra and Functions 2  is intended for students who have passed  Advanced Algebra and Functions 1 and have not been exposed to some  advanced mathematics topics.  Students will review and further explore  the use of exponential and logarithmic functions, and solve and apply  arithmetic and geometric series and sequences. Students will be presented with concepts of vectors and complex numbers. Matrix operations and solving systems of equations with augmented matrices will be presented. Students will be encouraged to use graphing calculators similar to the TI-83+ as a learning aid for some of the topics.

Trigonometry-2450
Grade Placement: 11, 12
Prerequisite: Advanced Algebra and Functions1 with a passing grade of 70%
Trigonometry is designed for students who have passed Advanced Algebra and Functions1  with at least a 70%. 

Students will study the Cartesian coordinate system, measuring angles and arcs in degrees and radians, right triangle trigonometry, graphing the trigonometric functions, trigonometric identities including sum and difference, double angle, and half-angle identities, conversion techniques, trigonometric inverses, trigonometric equations, oblique triangles including the Law of Sines and Law of Cosines, and the polar coordinate system.  Students will be permitted to use graphing calculators but will also be able to perform manual calculations.  Upon successful completion of this course, students should have the necessary prerequisites to succeed in an introductory college calculus course.

High School Calculus-2500
Grade Placement: 12
Prerequisite: Trigonometry

High School Calculus is intended for students who have passed Trigonometry with at least a 75%.  The topics include a review of analytic geometry, limits, defining the derivative, basic differentiation rules and integration concepts. 

Advanced Algebra and Trigonometry-2550
Grade Placement: 11, 12
Prerequisite: Algebra II

The intended audience for Advanced Algebra and Trigonometry includes students who have passed Algebra 2 with less than 75%.  Students will study content of Advanced Algebra and Functions with an overview of conic sections, polynomial functions, and exponential and logarithmic functions for the first half-year.  The second half-year will cover trigonometric concepts including: the Cartesian coordinate system, measuring angles in degrees and radians, right triangle trigonometry, graphing the trigonometric functions and using trigonometric identities and trigonometric inverse functions.

 
Financial Mathematics – 2600
Inclusion -2601
Grade Placement: 12
Prerequisite: None

This is a senior only course.  Financial Mathematics is offered for those seniors who would like to take a math course but are not planning post-secondary study.  The course will deal with the math involved in earning and spending money.  Some topics include personal banking, budgeting, financing a car, paying taxes, and making investments.

Practical Statistics – 2650
Grade Placement: 12
Prerequisite:  Algebra 1

This is a senior only course.  This course will only be held if at least 15 students enroll.  Statistics is meant for students who would like an alternative to a strict algebraic course.  This course will introduce students to the major concepts and tools for collecting, analyzing and drawing conclusions from data.  Concepts will be tied to career and technical areas when appropriate.

© 2005 Dauphin County Technical School | 6001 Locust Lane, Harrisburg, PA 17109
Phone: (717) 652-3170 Fax (717) 541-9639