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MATHEMATICS


GENERAL MATH

Grade 9
Full year
 

The course stresses Competency in fundamental arithmetic skills and their application in social and business arithmetic, homemaking and industrial crafts.
PRE-ALGEBRA

Grades 9-10
Full year
 

This course reviews the basic operations (addition, subtraction, multiplication and division) as applied to whole numbers, fractions and decimals. An introduction to Algebra I follows with units on signed numbers, first degree equations, polynomials and graphs.

Prerequisite: Recommendation of the junior high mathematics instructor.

ALGEBRA I

Grades 8-12
Full year
 

Algebra I provides a broad introduction to simplifying rational and irrational numbers, solving equations and inequalities, simplifying and factoring polynomials, simplifying rational expressions, linear equations and functions, and solving systems of linear equations.  Problem solving is emphasized. Students should be able to add, subtract, multiply and divide whole numbers, decimals and fractions and understand the order of evaluation before entering this course. A scientific calculator is required.

Prerequisites for 8th grade students:
-8th stanine or above on the Iowa Algebra Aptitude Test
-85% mathematics composite or above on the Iowa Test of Basic Skills
-recommendation of the junior high mathematics instructor
(8th grade students are expected to maintain a minimum B- average in Algebra I. Any student failing to do so may be rescheduled into the 8th grade pre-algebra course.) 

Prerequisites for 9th grade students:
-8th grade pre-algebra
-recommendation of the junior high mathematics instructor
(9th grade students are expected to maintain a minimum C- average in Algebra I. Any student failing to do so may be rescheduled into the high school pre-algebra course.)

Prerequisite for 10th - 12th grade students:    Pre-Algebra
 

INTERMEDIATE
ALGEBRA

Grades 9-12
Full year
 

Intermediate Algebra continues the study of Algebra I concepts with the use of a graphing calculator and computer software.  New topics include the study of matrices, complex numbers, and quadratic equations and functions. Problem solving is emphasized.  A Texas Instrument TI-83 or TI-84 graphing calculator is required.

Prerequisite:  Algebra I

(Concurrent registration in Geometry and Intermediate Algebra is recommended for students with a minimum B average in 
Algebra I.)
 

GEOMETRY

Grades 9-12
Full year
 

The study of the properties of Euclidean plane geometry is the main content of the course. The application of the principles of logic in deductive reasoning and the proving of theorems is emphasized. Other topics include the congruency, similarity, and area of plane geometric figures, right triangle trigonometry, circles, and area and volumes of solids.

Prerequisite:  Algebra I

(Concurrent registration in Geometry and Intermediate Algebra is recommended for students with a minimum B average in 
Algebra I.)
 

PROBABILITY &
STATISTICS

Grades 10-12
First semester

Probability and Statistics is a highly recommended course for all students considering a four-year college-degree since many majors require a probability and statistics course.  Topics include data collection and representation, measures of central tendency and variation, elementary probability, binomial probability, normal distributions, regression and correlation, sampling, hypothesis testing and inferences.  A Texas Instrument TI-83 or TI-84 graphing calculator is required.

Prerequisite:    Intermediate Algebra
 

DISCRETE
MATH

Grades 10-12
Second Semester
 

Discrete math begins with a unit on logic and Boolean algebra and includes a short review of algebraic concepts.  Main topics include graph theory, linear programming, Markov chains, game theory, mathematics of finance, election theory, fair division, sequences and series, and transformations.  Problem solving and recursion are emphasized, often with the use of the computerized spreadsheets and graphing programs.  A Texas Instrument TI-83 or TI-84 graphing calculator is required. 

Prerequisite:  Intermediate Algebra
 

ALGEBRA II

Grades 10-12
Full year
 

This course stresses the review and the extension of basic algebraic concepts of functions and relations, equations and inequalities, sequences and series, and trigonometry.  Problem-solving and graphic representation are emphasized.  A Texas Instrument TI-83 or TI-84 graphing calculator is required. 

Prerequisite:  Intermediate Algebra and Geometry
 

PRECALCULUS

Grade 11-12
Full year
 

Precalculus is a challenging course designed to serve as a transition from secondary mathematics to college calculus. Content previously studied in algebra and geometry courses is reviewed and expanded upon. Major emphasis is placed on the study of trigonometry.  Topics from discrete mathematics complete the year.  A Texas Instrument TI-83 or TI-84 graphing calculator is required.  Precalculus is traditionally a senior math course.  However, a sophomore who has completed Algebra II with an A average (93-100%) may take Precalculus as a junior. 

Prerequisite:  Algebra II with a B average minimum.
 

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