Damonte Ranch High School

ALGEBRA COURSE 1 A/B

Course #: 2203, 2204
Grade: 9-12
Year: 1 credit
Fee: $2.00 consumable materials fee
Prerequisite: Teacher Recommendation

This is the first year of a two-year course designed for those students who are not fully prepared for the rigors of a one-year Algebra course. The major topics of study are; real numbers and the properties of real numbers; field properties; linear equations and inequalities including systems; graphing; representing real world relationships; polynomials; square roots; elements of geometry and probability and statistics; and problem solving. Throughout the year, students will be expected to develop the ability to reason and communicate mathematically, apply learned concepts to new problem-solving situations and exhibit increased confidence in their ability to solve mathematical problems.

ALGEBRA 1 COURSE 2 A/B

Course #: 2205, 2206
Grade: 9-12
Year: 1 credit
Fee: $2.00 consumable materials fee
Prerequisite: Successful completion of Algebra 1 Course 1 A and B

This is the second year of a two-year course. This course will continue students' exploration of the range of mathematical topics introduced in Algebra 1 Course 1. Additional topics will include factoring, quadratic equations, transformational geometry and quadratic functions. Throughout the year, students will be expected to develop the ability to reason and communicate mathematically, apply learned concepts to new problem-solving situations and exhibit increased confidence in their ability to solve mathematical problems. Successful completion of BOTH Algebra Course 1 and Course 2 will be equivalent to completion of Algebra 1-2, providing students with the essential skills and concepts necessary to enroll in geometry.

ALGEBRA 1-2

Course #: 2221, 2222
Grade: 9-12
Year: 1 credit
Fee: $2.00 consumable materials fee
Prerequisite: Teacher Recommendation

This is one-year course designed to teach the fundamentals of elementary algebra. This course lays the foundation of knowledge and skills needed in subsequent college preparatory mathematics courses. The major topics of study are; real numbers and the properties of real numbers; field properties; linear equations and the inequalities including systems; graphing; representing real world relationships; polynomials; factoring; square roots; quadratic equations; elements of probability and statistics; and problem solving. Throughout the year, students will be expected to develop the ability to reason and communicate mathematically, apply learned concepts to new problem-solving situations and exhibit increased confidence in their ability to solve mathematical problems.

Scientific calculators are recommended.

GEOMETRY 1-2

Course #: 2227, 2228
Grade: 9-12
Year: 1 credit
Fee: $2.00 consumable materials fee
Prerequisite: Successful completion of Algebra 1-2 or Algebra 1 Crs 1 and Crs 2

This is a one-year course that will cover the following topics with an emphasis on proof introduced through student exploration activities: axioms, postulates and theorems; plane geometric figures; right triangles; constructions; congruence and similarity; proportions; perimeter, area and volume; circles; coordinate and transformational geometry; three-dimensional geometry; inductive reasoning; and probability applied to geometry. Development of deductive reasoning skills will be emphasized. Students will also review algebraic techniques, work on realistic problems, and use technology as much as possible. Student planning careers in any occupation will benefit from this class. Students may enroll in Algebra 3-4 and Geometry concurrently in order to take Calculus in high school.

FORMAL GEOMETRY 1-2

Course #: *2237, *2238
Grade: 9-12
Year: 1 credit
Fee: $2.00 consumable materials fee
Prerequisite: Successful completion of Algebra 1-2 or Algebra 1 Course 1 and Course 2

This is a one-year course that will cover the following topics through emphasis on formal proofs; axioms, postulates and theorems; plane geometric figures; right triangles; constructions; congruence and similarity; proportions; perimeter, area and volumes; circles; coordinate and transformational geometry; inductive reasoning; three-dimensional geometry; and probability applied to geometry. Development of deductive reasoning skills will be emphasized. Students will also review algebraic techniques, work on realistic problems, and use technology as much as possible. An ability to think abstractly is critical for successful completion of this course. Students who can think abstractly and are possibly planning careers in math, science, engineering, law, etc. will benefit from the formal logic in this class. Students may enroll in Algebra 3-4 and Formal Geometry 1-2 concurrently in order to take Calculus in high school. A compass and

*Credit in these courses applies toward an honors diploma

ALGEBRA 3-4

Course #: *2241, *2242
Grade: 9-12
Year: 1 Honors credit
Fee: $2.00 consumable materials fee
Prerequisite: Successful completion or current enrollment in Formal Geometry or Geometry

This is a one-year course, which strengthens and expands the techniques and concepts learned in elementary algebra. This course will strengthen the student’s problem solving and algebraic skills in preparation for advanced mathematics courses. The major topics of study are: equations and inequalities; relations and functions; systems of equations and inequalities; matrices; polynomials and polynomial functions; irrational and complex numbers; quadratic equations, relations and functions; rational functions, exponential and logarithmic functions; sequences and series; and elements of probability and statistics. Throughout the year, students will be expected to continue to develop the ability to reason and communicate mathematically, apply learned concepts to new problem-solving situations, and exhibit increased confidence in their ability to solve mathematical problems. Graphing calculators are encouraged.

Students may enroll in Algebra 3-4 and Geometry concurrently in order to take Calculus in high school.

* Credit in these courses applies toward an honors diploma

TRIGONOMETRY / PRE-CALCULUS

Course #: *2247, *2248
Grade: 11-12
Year: 1 Honors credit
Fee: $2.00 consumable materials fee
Prerequisite: Successful completion of Algebra 3-4 and teacher recommendation

This is a one-year course designed to teach the basic fundamentals of trigonometry and to teach a variety of additional pre-calculus concepts. The major topics of study are: exponential and logarithmic functions; trigonometric and circular functions; polar coordinates ad complex numbers; matrices and vectors; sequences and series; and elements of probability and statistics. Throughout the year, students will continue to develop the ability to reason and communicate mathematically, apply learned concepts to new problem-solving situations and exhibit increased confidence in their ability to solve mathematical problems. Graphing calculators are encouraged.

* Credit in these courses applies toward an honors diploma

PROBABILITY, STATISTICS AND DISCRETE MATHEMATICS

Course #: *2251, *2252
Grade: 11-12
Year: 1 Honors credit
Fee: $2.00 consumable materials fee
Prerequisite: Completion of Algebra 3-4 or teacher recommendation

This course is designed to provide students with opportunities to explore concrete concepts, probability statistics and discrete mathematics. The first semester is spent studying probability and statistics topics including probability distributions, hypothesis testing, and experimental design. Students will be provided with opportunities to collect and analyze data relevant to students and draw conclusions based on this analysis. The second semester will involve a study of discrete mathematics used in the study of calculators and computers. It will include such topics as logic, set theory, matrices, networks, fractals and game theory.
Throughout the course, emphasis will be given to providing students with numerous opportunities to model problem situations using hands-on materials, graphing calculators, and computers. Students may take either semester without the other.

Graphing calculators are required.

* Credit in these courses applies toward an honors diploma.

AP CALCULUS 1-2

Course #: *2261, *2262
Grade: 11-12
Year: 1 Honors credit
Fee:  $2.00 consumable materials fee
AP Exam Fee: $83.00
Prerequisite: Successful completion of Trigonometry/Pre-Calculus

This is a one-year course designed to offer a formal Advanced Placement Calculus AB course for those students wishing to study mathematics on the collegiate level. The major topics of study are: functions; limits and continuity; derivatives and applications of the derivative; integrals, techniques of integration, and applications of the integral; and inverse functions. This is for students who have completed the equivalent of four years of college preparatory mathematics. Students apply skills and information acquired in previous math courses. Students must take the Advanced Placement Calculus AB Test given in May in order to get AP credit.

Graphing Calculators are required.

* Credit in these courses applies toward an honors diploma.