Mathematics

Mathematics Department Curriculum

 

 

Student
Course Plan
7th
8th
9th
10th
11th
12th
Advanced
Placement
Program


Course 3


Algebra 1


Mod Geom

& Algebra 2

 

Adv Math


PreCalculus
College Stat


Calculus
College Stat

College
Bound
Program

Math 7


Math 8


Algebra 1

Geometry

Algebra 2


Adv Math
(year)
or
Adv Math/Stat

Intermediate
Saxon 7-6
Saxton 8-7
Algebra 1A
Algebra 1B
Algebra & Geometry Concepts
Tech Math
or
Geometry
General Math
Saxon 5-6
Saxon 7-6
Basic Math
or
Pre-Algebra
Consumer Math
Alg 1A
Alg 1B

Basic Math: This course focuses on the basic arithmetic skills of operations with whole numbers, fractions, decimals, percents, ratio and proportion in a problem-solving context. Emphasizes improved study skills including time management, not taking, test preparation and other skills that will improved study skills including time management, not taking, test preparation and other skills that will help students successful in future mathematics courses.

Elective: 2 credits

Pre-Algebra: This course provides the opportunity to apply arithmetical and mathematical principles and develop and maintain basic arithmetic and pre-algebra skills. The course content is a review of arithmetic skills including whole numbers, positive and negative numbers, fractions, decimals, percents, ratio and proportion, plus computation of perimeters, areas, volumes associated with triangles, rectangles, circles, rectangular prisms, cylinders, cones and metric system applications. It is an in depth pre-algebra course.

Elective: 2 credits

Consumer and Career Math
Prerequisite General Math; students who have passed Algebra 1A/1R are not eligible for this class
The student will study mathematics through application problems that relate to business and home environments. The student will be required to work on a variety of mathematical problems including computing with whole numbers, decimals, and fractions, solving problems involving equations, proportions, percent, perimeter, area and volume and applying methods of probability and statistics. The student will apply mathematical techniques to solving consumer problems involving gross and net income, buying foods and goods, budgeting, personal banking, car buying and car buying and car operating expenses general travel expenses, renting or decorating a home, state and federal income tax, and insurance.

Elective: 2 credits

Algebra 1A
This is the first year of a two-year sequence in algebra. Topics included are properties of real numbers, solving simple equations and inequalities, positive and negative numbers, formulas, factoring, graphing, solving two equations, fractions, decimals and percents; squares and square roots relations and functions. This course is followed by Algebra 1B. The second semester of this course builds upon the first. Therefore, students must successfully complete the first semester prior to enrolling in the second semester.

Elective: 2 credits

Algebra 1B
Prerequisite Algebra 1A:
This is the second year of the two- year sequence in algebra. It is designed to prepare all students for success in mathematics. Topics include data analysis, communicating mathematics, drawings and patterns, equations, spatial relations, ratio and proportion, probability and decision making, and functions. This two- year sequence could be followed by a year of Regular Geometry, followed by Alegbra 2.

Elective: 2 credits

Algebra & Geometry Concepts
Prerequisite Algebra 1A and Algebra 1B
Students receiving a "C" or better in Algebra 1R are not eligible for this class.
This course includes a semester study of concepts of Euclidian Geometry including logic and proofs, as well as applications of area and distance calculations. Also included is a semester of algebra concepts including linear and quadratic equations. Introductory trigonometry is also included in the algebra portion of this course. This course is designed to prepare students for the work force, military, or two-year technical school.

Elective: 2 credits

Algebra 1
The study of algebra will prepare students to continue their studies in mathematics, and it will help them to organize their thoughts to solve mathematical problems that everyone meets from day to day. In Algebra students will be working with directed numbers, solving linear and quadratic equations, working with polynomials, factoring, working with fractions, solving inequalities, working with functions, solving systems of linear equations, working with rational and irrational and irrational numbers, graphing in 1 and 2 dimensions, and solving algebraic word problems.

Elective: 2 credits

Geometry Regular
Prerequisite Algebra 1 or Algebra 1A and 1B

The study of geometry is interesting and rewarding in the field of mathematics. Geometry is an entrance requirement for admission to most colleges and is a prerequisite for Advanced Algebra and Trigonometry. The objectives are as follows: (1) strengthen the student's understanding of algebra and geometry (2) develop powers of spatial visualization while building a knowledge of the relationships among geometric figures (3) introduce the elementary methods of inductive and deductive reasoning and increase the student's appreciation of the need for precision of the language (4) develop some understanding of the methods to coordinate geometry and of the way in which algebra and geometry complement each other (5) provide the opportunity, stimulation and guidance for creative thinking. The course content is operations with real numbers; ratio and proportion; measurement of geometric figures; equalities; inequalities; logic, inductive and deductive reasoning; proofs; properties of points, lines, planes, triangles, quadrilateral circles and spheres; area and volume of plane and solid figures; coordinate geometry, and locus. The second semester of this course builds upon the first. Therefore, students must successfully complete the first semester prior to enrolling in the second semester.

Elective: 2 credits

Modern Geometry/ Algebra 2
Prerequisite Algebra 1
This course is a prerequisite for students planning to take Calculus as seniors. The successful completion of the Algebra 1 - Modern Geometry - Advanced Math - Pre calculus and Statistics - Calculus sequence will provide the student with the equivalent of five years of college preparatory mathematics. The Modern Geometry course is similiar to Regular Geometry, but more emphasis is placed on study transformations and isometries. The isometries (reflections, rotations, translations, and glide reflections) will be used to study parallel lines, congruence of figures, area, volume, etc. Approximately fifty percent of the course will be devoted to Geometry, and the remainder will focus on Algebra 2/Trigonometry.

Elective: 2 credits

Technical Math
Prerequisite Algebra 1A/1B , Algebra & Geometry Concepts, OR Algebra 1R and Geometry 1R
This course is ideal for a student who wants to learn a technical skill and is planning to enter one or two year technical or trade program. Algebra, geometry, probability and statistics, discrete math, calculator and computer skills are reinforced. The problems are geared to a large number of applications emphazing skills needed by persons entering many technical fields including agriculture, architecture, chemistry, computer science, construction, electronics, engineering, physics, and mechanics. A student receiving a "C" or better in Algebra 2 should consider taking Advanced Math, not Technical Math.

Elective: 2 credits

Algebra 2
Prerequisite Algebra 1 and Geometry:
This course is intended primarily for students planning to attend college or a technical school. It builds on sequential approaches to content and learning from preceding courses. Geometric and algebraic concepts are extended and connected to topics in probability and statistics, trigonometry, and discrete mathematics. The course content consists of linear functions, linear functions, linear systems and inequalities, applying exponents and logarithms, trigonometry, discrete mathematics and models. A student receiving a "C" or better in this course should consider taking Advanced Math.

Elective: 2 credits

Advanced Math
Prerequisite Modern Geometry or Algebra 1, Geometry, and Algebra 2
It includes extensive work with the graphing calculator, linear functions, exponential and log functions, trigonemetric functions and PreCalculus concepts. It is a prerequisite for students planning to take PreCalculus and Calculus. Students planning to take College Statistics second semester should take this class first semester.

Elective: 2 credits

College Statistics*
Prerequisite One semester of Advanced Math or (1 year Algebra 2 with instructor's permission)
This course, taught at Atlantic High School, is taken for dual high school credit and Iowa Western Community College credit. The college credit will transfer to most major colleges and universities. This is an excellent course for college-bound students who desire a better mathematics background but do not plan to specialize in courses requiring a lot of mathematics. The course will include a wide range of applications in economics, social sciences, biological sciences, education, medicine, industry and business. Topics include numerical methods of analyzing data, rules of probability, binomial and normal distributions, sampling, estimation, hypothesis testing and linear correlation.

*This course is offered for college credit through Iowa Western Community College. Students taking it MUST register with IWCC and have qualifying test scores from the ACT, ASSET, or Compass Test. Any grade below a "C-" will result in the student reimbursing AHS for tuition and books. Any grade below "C-" will not transfer for university credit.

Elective:1 credit

PreCalculus*
Prerequisite: "C" or better grade in Advanced Math
This course, taught at Atlantic High School, is taken for high school credit and Iowa Western Community College credit. The college credit will transfer to most major colleges and universities. This course continues the work from Advanced Math. It is an intensive review of College Algebra and Trigonometry and prepares students for Calculus. Topics include functions, logarithms, systems of equations, matrices, polynomials, conic sections, trigonometric functions, graphs, identifies, equations, complex numbers, and polar coordinates.

*This course is offered for college credit through Iowa Western Community College. Students taking it MUST register with IWCC and have qualifying test scores from the ACT, ASSET, or Compass Test. Any grade below a "C-" will result in the student reimbursing AHS for tuition and books. Any grade below "C-" will not transfer for university credit.

Elective: 2 credits

Calculus
Prerequisite Modern Geometry/Algebra 2, Advanced Math, and a "C" or better grade in PreCalculus
This course, usually offered only in college, provides the high school student with the opportunity to apply the advanced mathematics to solve complex practical problems encountered daily by mathematicians, engineers, and scientists. Students take this class for dual high school and college credit. The objectives of the course are as follows: (1) enable the student to grasp historical significance and present day importance of calculus as the foundation for most other branches of mathematics, engineering and science (2) provide the student with an abundance of application problems from mathematics, chemistry, physics, biology and economics. The course content includes a brief review of functions, analytic geometry and trigonometry; a general method for graphing all functions; the derivative; limits; continuity; the integral; applications to problems involving slope; maximum-minimum; rates of change; area; volume; and velocity, motion, forces and work.

*This course is offered for college credit through Iowa Western Community College. Students taking it MUST register with IWCC and have qualifying test scores from the ACT, ASSET, or Compass Test. Any grade below a "C-" will result in the student reimbursing AHS for tuition and books. Any grade below "C-" will not transfer for university credit.

Elective: 2 credits

Created by: Lexie Welter