LSH MATHEMATICS DEPARTMENT

Suggested Course Sequences

Following is a suggested math sequence for students enrolled at LSH High School. Participation in a specific plan is usually based on student interests and abilities plus future plans upon graduation. There is always some flexibility for students to move from one plan to another, but participation in specific classes is subject to the approval of the department / teacher. If there is doubt in the selection of a particular course, the student / parent should seek the advice of the instructor. Courses marked with an ‘*’ are required to complete the Minnesota Graduation Standards in Mathematics.

PLAN A: This plan is suitable for students who have demonstrated high achievement in mathematics at advanced levels. This is an advanced / accelerated sequence which will focus on more advanced topics. Students who are considering a career in a math or science related field and students who have consistently received a B or better should consider following this plan. Students successfully completing this plan will meet all of the math requirements under the Minnesota Graduation Standards.

PLAN B: This plan is recommended for all students who are not in Plan A. The vast majority of students should register for this plan. A student successfully following this plan for three years will complete all of the math requirements under the Minnesota Graduation Standards. Students in this plan may elect to join students in Plan A their senior year by taking pre-calculus and calculus.

Plan A

Grade 7 Pre-Algebra

Grade 8 Advanced Algebra I

Grade 9 Advanced Geometry *

Grade 10 Advanced Algebra II *

Grade 11 Pre-Calculus

Grade 12 Calculus

Plan B

Grade 7 Pre-Algebra

Grade 8 Algebra I

Grade 9 Geometry*

Grade 10 Non Linear

Algebra/Probabilities & Statisties*

Grade 11 Algebra II*

Grade 12 Pre-Calculus

MATHEMATICS

Advanced Geometry

Advanced Algebra II

Non-Linear Algebra/Probabilities & Statistics

Geometry

Algebra II

Pre-Calculus

Advanced Placement Math/Calculus

College Prep Math

108 Advanced Geometry (Plan A)

Grade 9

Elective 1 credit

Prerequisite: Advanced Algebra I; or Instructor’s Permission

This course is designed as an introductory course of formal geometry and is different from geometry in that it relies heavily upon algebra and logic through the use of proofs. A detailed study of Euclidian theorems, postulates, and definitions along with problem solving applications will be stressed.

105 Geometry (Plan B)

Grade 9 1 credit

Prerequisite: Non-Linear Algebra/Probabilities & Statistics

This course is designed as an introductory course of formal geometry and is different from geometry in that it relies heavily upon algebra and logic through the use of proofs. A detailed study of Euclidian theorems, postulates, and definitions along with problem solving applications will be stressed.

110 Advanced Algebra II (Plan A)

Grade 10

Elective 1 credit

Prerequisite: Advanced Algebra I, Advanced Geometry, or Instructor’s Permission

This course is recommended for students who intend to pursue a four year college program, have demonstrated strong ability and high interest in mathematics, and may specialize in some math or science related field. Topics covered in the course include linear equations and functions, inequalities, polynomials, rational expressions, irrational and complex numbers, quadratic equations, and functions, polynomial equations, sequences and series, determinants, matrices, logarithms, and an introduction to trigonometry.

107 Non-Linear Algebra / Probabilities & Statistics (Plan B)

Grades 10 1 credit

This course is a continuation of 8th grade algebra. The algebraic focus will be non-linear. Topics covered will be: polynomials, factoring, quadratic and exponential functions, radical and rational expressions, probability and statistics.

111 Algebra II (Plan B)

Grade 11

Elective 1 credit

Prerequisite: Geometry or Instructor’s Permission

Topics covered in the course include linear equations and functions, inequalities, polynomials, rational expressions, irrational and complex numbers, quadratic equations and functions, polynomial equations, sequences and series, determinants, matrices, logarithms, and an introduction to trigonometry.

113 Pre-Calculus (Plans A or B)

Grades 11-12

Elective 1 credit

Prerequisite: Algebra II, Advanced Algebra II; Integrated Math III or Instructor’s Permission

This course will provide a bridge between Advanced Algebra II or Algebra II and Calculus. Included is the study of elementary functions, logarithmic and exponential functions, trigonometric functions, formulas and identities, complex numbers and analytic geometry. If time permits other topics include curve fitting and models, polar coordinates, vectors and determinants, sequences and series, and matrices. Students will work with graphing calculators and it is recommended the student purchase their own (recommended: TI84+). Students will have access to the use of a TI84 in class.

114 Advanced Placement Math / Calculus (Plan A)

Grade 12 1 credit

Elective Post-Secondary Credit May Be Available

Prerequisite: Pre-Calculus, B- or better, or Instructor’s Permission

This course is Calculus of a Single Variable and is intended for those students who are considering career areas such as mathematics, science, engineering, physics, medicine, and certain business areas. The course work consists primarily of work in differential and integral calculus after preliminary work in elementary functions and trigonometry. Other topics covered include coordinates, graphs and lines; functions and limits; differentiation; techniques and applications of differentiation; integration and applications of the definite integral; logarithm and exponential functions and their applications; inverse trigonometric and hyperbolic functions; techniques of integration; improper integrals; other topics as time permits. Students who complete this course may earn Advanced Placement credits for college by scoring a 3, 4, or 5 (scoring scale: 0 thru 5) on the Calculus AB Advanced Placement test.

112 College Prep Math

Grade 12

Elective 1/2 credit

Senior students take this class to study for the Accuplacer test to be taken at the end of the semester. The Accuplacer is divided up into 3 sections: Arithmetic, Algebra and College-level Math.

• The Arithmetic section includes: adding, subtracting, multiplying and dividing all kinds of numbers, estimated, fractions, decimals, and percents.

• The Algebra section includes: solving equations, inequalities and practical problems, operations with algebraic expressions and formulas.

• The College-level section includes: trigonometry, logarithmic and exponential functions, geometry, graphs, slope, systems of equations, factoring, series and sequences, square roots, complex numbers and practical problems.