Mathematics
| GRADES |
COURSES OFFERED | CREDITS |
|---|
| 9,10,11,12 |
Applied Algebra (2
Year Course) | 1 per Year
(2 Year Course) |
| 9 |
Algebra |
1 |
| 9,10,11,12 |
Geometry |
1 |
| 10,11,12 |
Basic Geometry |
1 |
| 10,11,12 |
Advanced Algebra |
1 |
| 11,12 |
Transition to College Math |
1 |
| 10,11,12 |
Pre-Calculus |
1 |
| 11,12 |
Honors AP Calculus |
1 |
| 11,12 |
Discrete Mathematics |
1/2 (1 semester) |
| 11,12 |
Statistics |
1/2 (1 semester) |
|
12 |
MAT 132 Statistics |
1/2 (3
semester hours for SRC) |
NOTE: Three years of mathematics are required for graduation.
All 9th grade students must be enrolled in math. The normal minimum sequence
required for graduation is satisfied by one of the three options:
A. Applied Algebra I followed by Applied
Algebra II and Basic Geometry
B. Algebra followed by Basic Geometry or Geometry
and Advanced Algebra or Transition to College Mathematics
C. Geometry followed by Advanced Algebra and
Pre-Calculus or Discrete Mathematics/Statistics
Students selecting plan A should be advised that admission requirements for WIU
and similar universities include three years of high school math to be chosen
from Algebra, Geometry, Basic Geometry, Advanced Algebra, Pre-Calculus, AP
Calculus, Statistics and Dual Credit Statistics. For those planning to
enroll in a university, work through Advanced Algebra should be considered
minimal preparation. Completion of Pre-Calculus is recommended for the
great majority of college-bound students.
APPLIED ALGEBRA
| 1 credit per year |
(2 years) |
Grades: 9,10,11,12
Prerequisite: Only students who fail to meet or exceed ISAT math scores
while in 8th grade, or those recommended by 8th grade math teachers will be
enrolled.
This team-taught course will emphasize the learning of Algebraic concepts
via a wide variety of instructional techniques. This two-year course will
allow students who have difficulty with math to have the opportunity to explore
algebra at a pace more appropriate with their needs. The course will build
a strong foundation in the fundamentals through the use of manipulatives and
real life situations.
ALGEBRA
| 1 credit |
(1 year) |
Grade: 9
Grades: 7,8 Algebra taken in 8th grade will be
recorded on the high school transcript, but the grade will not be
recorded. It will not count toward the high school
mathematics requirement, GPA, or graduation.
Prerequisite: None
In this course, emphasis is placed upon the solving of equations and
inequalities, operations with polynomials, verbal problems, graphing of linear
relations, radicals, and the use of formulas. Other topics receiving
emphasis are statistics and probability, exponents and powers, ratio and
proportion.
GEOMETRY
| 1 credit |
(1 year) |
Grades: 9,10,11,12
Grade: 8 Grades earned by 8th grade students taking
Geometry at Macomb Jr/Sr High School will be recorded on the
high school transcript and will count toward the mathematics
requirement, GPA, and graduation.
Prerequisite: Credit in Algebra with a grade of C or better required
In
this course, students maintain and broaden their algebra skills by applying them
to relationships between angles, segments, triangles, and quadrilaterals.
Connections and applications show the students how what they learn in this
course is related to the real world and to other branches of mathematics.
Work with the algebra of the coordinate plane is integrated into the course, as
are constructions with compass and straight edge. To develop each student's
ability to reason logically is a major goal, as well as developing the ability
to communicate mathematics. Major topics include theory of parallel lines,
congruent triangles, quadrilaterals, similar figures, circles, right triangles,
area, and volume.
BASIC
GEOMETRY
| 1 credit |
(1 year) |
Grades: 10,11,12
Prerequisite: Credit in Algebra or Applied Algebra II
This course is not open to students who have earned a credit in Geometry.
This course emphasizes practical applications of relationships about
triangles, circles, and quadrilaterals. Less attention is given to proofs
and abstract concepts than in the regular geometry course. There will be
opportunities to maintain and strengthen algebra skills.
ADVANCED
ALGEBRA
| 1 credit |
(1 year) |
Grades: 10,11,12
Prerequisite: C or better in Geometry or Basic Geometry required
This course includes the following topics: study of sets, complex numbers,
open sentences in one variable, systems of linear open sentences, polynomials,
and factoring, rational and irrational numbers, quadratic functions, logarithms,
conic sections, progressions and polynomial functions. Emphasis is placed
on learning to think mathematically and upon developing mathematical maturity.
Advanced Algebra can be taken concurrently with Geometry.
TRANSITION TO COLLEGE MATHEMATICS
| 1 credit |
(1 year) |
Grades: 11,12
*NCAA does not accept this course.
Prerequisite: Credit in Algebra and either
Basic Geometry or Geometry
This course is not open to students who have earned a credit in Pre-Calculus.
This course is recommended for those students who may need additional
preparation in Advanced Algebra (did not earn a grade of C or better in Advanced
Algebra). It is a mathematical modeling approach to the ideas of algebra.
Students will learn to do graphing with the aid of a graphing calculator and
students will learn to solve problems by using a graphical approach. The
school can provide a limited number of graphing calculators for student use, but
students wishing to secure their own should purchase a TI-83 or TI-83 Plus
calculator. Many activities involving use of a graphing calculator will be
provided. The following topics will be explored in the course:
Linear Functions, Quadratic Functions, Trigonometric Functions and arithmetic
and algebraic concepts frequently seen on college math placement exams.
PRE-CALCULUS
| 1 credit |
(1 year) |
Grades: 10,11,12
Prerequisite: Credit in Advanced Algebra required with a grade of C or
better recommended. As an alternative, credit
in Transition to College Math with grade of B or better and
permission of instructor
Equipment: A graphing calculator is required. A TI-83 or TI-83
Plus is recommended. There is a limited number of
TI-83 calculators which a Pre-Calculus student can borrow on
a long-term basis from the school.
The first semester of this course includes study of function concepts,
graphing techniques, basic coordinate geometry, the study of polynomial
functions and their graphs and statistical analysis. The second semester
of this course includes the study of exponential and logarithmic functions,
circular and trigonometric functions, graphs of trigonometric functions,
applying trigonometric functions to solve triangles, and finding the area of
triangles. The goal of this course is to prepare students for enrollment
in a calculus class the following year.
HONORS AP
CALCULUS
| 1 credit |
(1 year) |
Grade: 12
Prerequisite: Grade of C or better in Pre-Calculus
Equipment: Students must have a TI-83 (any edition), TI-84 (any edition),
TI-89 or TI-92 graphing calculator. The 83
and 84 models will be used in classroom demonstration.
Students with an 89 or 92 are responsible for being able
to use the user's guide that comes with the calculator to
complete the given tasks.
This course will introduce students to limits and
to derivatives and integrals of elementary functions. Power rule, chain
rule, quotient and product rules, and all standard techniques for finding
derivatives will be included. Applications to graphing functions and to
problems involving rates of change will add interest to the study of
derivatives. A consistent practice in developing concepts will be to do
problems two ways, both analytically with standard calculus techniques and
graphically on the graphics calculator. The definite integral will be
developed as the limit of an infinite sum, and a wide variety of integration
techniques will be practiced. Applications of the definite integral will
include computation of areas under curves and between curves and volumes of
solids of revolution. The goal of the course is to receive college credit
for the year’s work via the Advanced Placement exam.
DISCRETE MATHEMATICS
| 1/2 credit |
(1 semester) |
Grades: 11,12
Prerequisite: Advanced Algebra with a grade of C or better or Pre-Calculus
Equipment: TI-82 or TI-83 calculator is advisable.
Through extensive work with applications from the social sciences, from
business, and from statistics, students will be exposed to a wide variety of
mathematical topics not found in traditional courses of Algebra, Geometry,
Advanced Algebra, Pre-Calculus, or Calculus. Students will receive a sound
introduction to social choice, to matrices and their uses, to graph theory and
its applications, and to counting and finite probability. Emphasis in the
development of each topic will be on problem-solving, communication, reasoning,
and modeling. Fair division of estates, election theory, network theory,
game theory, and population matrices are some of the topics that will be
studied.
STATISTICS
|
1/2 credit |
(1 semester) |
Grades: 11,12
Prerequisite: Advanced Algebra with a grade of C or better or Pre-Calculus
Equipment: TI-83 calculator
This one-semester course will cover
summarizing data, probability and probability distributions, estimates and
sample sizes, hypothesis testing, correlation and regression and statistical
process control.
MAT 132 STATISTICS
|
1/2 credit |
(3 semester hours for SRC) |
Grade: 12
Prerequisite: H.S. Algebra I & II, Geometry, testing criteria
Equipment: TI-83 calculator
An introductory course in statistics
requiring a minimum of mathematical preparation. Topics to be covered
include sample data handling (computation of means, standard deviations, etc.),
probability, theoretical frequency distributions (binomial, Poisson, normal,
Student's T, Chi square), random sampling, estimation of distribution
parameters, testing hypotheses, correlation, and regression.
DEPARTMENTS PAGE
This page was last
updated February 21, 2007.
Page design by Nancy Bell.
Copyright 2000. Macomb High School.