|
MATHEMATICS CURRICULUM
FOUNDATIONS I Credit: 1
Grade: 9
Prerequisite: 70’s or below in Middle school Math classes
Opportunities in this class will be provided for students to demonstrate an understanding of the rational number system. Computational procedures for integers, fractions, decimals, percentages, and mixed numbers are reviewed. Using algebraic thinking, students will be taught number theory, geometry, measurement, probability and statistics, and solving equations.
FOUNDATIONS II Credit: 1
Grade: 9, 10
Prerequisite: 80’s in middle school math classes, or 70 or above in Foundations I
The emphasis of this course will be the investigation of meaningful problems using positive and negative numbers, fractions, decimals, and square roots. Equations and inequalities involving one and two steps will be studied as well as rations, proportions, and percent. Area, surface area, and volume of two and three-dimensional figures along with graphing in the coordinate plane will be taught. Statistics, probability, and
polynomials will be introduced. This course should bridge the gap between basic math and algebra for those who are not yet ready for algebra.
MATH FOR TECHNOLOGY I Credit: 1
Grade: 10
Prerequisite: Below 85 in Foundations II
This course follows the approach to learning used in other applied learning courses. This course is made relevant to students by showing how the skills are used in the work place with special emphasis on problem solving through hands–on activities. Three optional review units, including text and video, encourage students to master use of a calculator and refresh memories on whole numbers, fractions and decimals. This course does not meet college entrance requirements.
MATH FOR TECHNOLOGY I I
Credit: 1st semester = 1 elective credit, 2nd semester = 1 math credit
Grade: 10, 11, 12
Prerequisite: One of the following: Above 85 in Math for Technology I; above 85 in Foundations II; passed both Math for Tech I and Foundations II
This is a year long vocational course of algebra content. The first semester earns one elective credit and with the completion of the second semester the Math for Technology II math credit is earned. The CORD Algebra I text books will be used to emphasize the lab based, hands-on learning style. The objective is to give a solid foundation of math skills that are the prerequisites of higher math, i.e. Algebra II and Geometry. Topics include signed numbers, powers and roots, linear equations, systems of equations, functions, polynomial equations and expressions, along with other number and
variable manipulation skills.
This course is equivalent to Algebra I in math content and students will take the Gateway Algebra I exit test.
NOTE: If students fail the first semester (the elective credit), at the end of that semester they will be reassigned to take the first semester over before going on to the second semester (the Algebra I credit). This should occur in their following semester without delay.
ALGEBRA I
Credit: 1st semester =1 Elective credit ; 2nd semester = 1 math credit
Grade: 9, 10, 11, 12
Prerequisite: One of the following must be met:
90 or above in middle school math and very high TCAP math scores in middle school; above 85 in Math Tech I; above 85 in Foundations II;
passed both Math Tech I and Foundations II
This is a year long course of algebra content. The first semester earns one elective credit and with the completion of the second semester the Algebra I math credit is earned. The objective is to give a solid foundation of math skills that are the prerequisites of higher math, i.e. Algebra II and Geometry. Topics include signed numbers, powers and roots, linear equations, systems of equations, functions, polynomial equations, and expressions, along with other number and variable manipulation skills.
NOTE: If students fail the first semester (the elective credit), at the end of that semester they will be reassigned to take the first semester over before going on to the second semester (the Algebra I credit). This should occur in their following semester without delay.
HONORS ALGEBRA I Credit: 1 (1semester only)
Grade: 9
Prerequisite: meet cut-off score for Honors Algebra I on the pre-Gateway test given in 8th grade
The objective is to give a solid foundation of math skills that are prerequisites of higher math. Topics include signed numbers, powers and roots, linear equations, systems of equations, functions, polynomial equations, and expressions, along with other number and variable manipulation skills.
ALGEBRA II Credit: 1
Grade: 10, 11, 12
Prerequisite: 80 or above in Algebra I or in Math Tech II
This course is required for college-bound students. Emphasis will be placed on the algebra of complex numbers, including linear, quadratics, and systems of equations, linear and quadratic inequalities; graphing of linear, quadratic systems of equalities and inequalities; exponential functions; probability and statistics; and introduction to trigonometry applications.
UNIFIED GEOMETRY Credit: 1
Grade: 10, 11, 12
Prerequisite: 80 or above in Algebra I or Math Tech II
This course is required for college-bound students. The content continuously applies the knowledge that has been covered in Algebra I with real world applications. Helping students to develop logical reasoning skills will be stressed through two column and indirect proofs. Trigonometry concepts are introduced.
ADVANCED ALGEBRA AND TRIGONOMETRY Credit: 1
Grade: 11, 12
Prerequisite: Algebra I, II, and Geometry
This course covers advanced algebra and trigonometry including: Graphs and Equations,
Functions and their Graphs,
Exponential and Logarithmic Functions, Trigonometric Functions, Analytic Trigonometry,
and Applications of Trigonometric Functions.
PRE-CALCULUS Credit: 1
Grade: 11, 12
Prerequisite: Advanced Algebra and Trigonometry
Although this course may provide a good mathematical experience for the student who is not going to take calculus, it is designed primarily for the college bound student who plans to take calculus. Pre-calculus
covers the following topics:
Polynomial and rational Functions, Polar Coordinates and Vectors, Analytic Geometry,
Systems of Equations and Inequalities, Sequences, Induction, Counting, Probability
and a preview of calculus: The Limit and Derivative of a Function.
STATISTICS Credit: 1
Grade: 11, 12
Prerequisite: Algebra II and Geometry
Statistics will be useful in many areas of business, such as insurance
companies, and also in any area where experiments are being run and statistical analyses are being performed.
Statistics covers the following topics: Statistics, Data, and Statistical Thinking,
Methods for Describing Sets of Data, Probability, Discrete Random Variables,
Continuous Random Variables, Sampling Distributions, Inferences Based on a Single Sample: Estimation with Confidence Intervals,
Inferences Based on a Single Sample: Tests of Hypotheses; Inferences Based on Two Samples: Confidence Intervals and Tests of Hypotheses,
Simple Linear Regression
CALCULUS Credit: 1
Grade: 12
Prerequisite: Pre-Calculus
Calculus is the reformulation of elementary mathematics through the use of a limit process. This course is offered to prepare students for college calculus, for engineering, and other math related fields. Calculus contains the following topics:,
Preparation for Calculus, Limits and their Properties, Differentiation, Applications of Differentiation,
Integration, Logarithmic, Exponential, and Other Transcendental Functions,
Applications of Integration.
ALGEBRA I GATEWAY REMEDIATION Credit: None
Grade: 10, 11, 12
Students who fail to pass the Gateway Test in Algebra I may be assigned to this program by guidance or administration. The purpose of the program is to help the student gain the Algebra proficiency he/she needs to retake and pass the Algebra I Gateway Test.
The course must be taken in the summer or the fall semester before re-taking the test. |