LHS Mathematics

Mathematics

Based on today's State and National Standards, the courses offered by the Mathematics Department help all students develop a strong background in problem solving and reasoning skills needed in daily life.  All courses provide students with the opportunity to practice skills, communicate mathematically, and make connections across math topics and with other subject areas.  Technology is a key component in all our programs.

Students who plan to go to college should take a minimum of three credits of math (Core 1, 2, 3, OR Algebra, Geometry, Advanced Algebra).  Four credits are recommended in order to maintain skills.  Those planning a math-related career should take as much math as possible

COURSES  REQUIRED  FOR  GRADUATION  FROM  THIS DEPARTMENT:  2 credits - Grades 9-12
Students who fail a 9th grade mathematics course during the first semester MUST re-register for the failed course for the entire year during the  registration process.  

Advanced Standing Courses (marked *)

*CORE  2  MATH - No. 453
1 Credit Elective- Grades 10, 11
Prerequisite - Core 1
Core 2, the second course in the four-year integrated high school math program,  includes strands of various areas of math that are important to today's students:  algebra and functions, geometry and trigonometry, statistics and probability, and discrete mathematics.  Investigations of       real-life contexts lead to the understanding of important math concepts that makes sense to students and, in turn, allow them to make sense out of new problems and situations.  In Core 2, the student will study units dealing with these specific topics:  matrix  models and systems of  equations; coordinate geometry and transformations; seeing patterns of association and measuring correlation in data; power models, including inverse variation, quadratics, and radicals; quadrilaterals, triangles, and trig ratios; and probability distributions and expected value.  A graphing calculator is required for this course.  We recommend a TI-83 Plus or TI-84.
2010-11 is the last year this course will be offered.

*CORE  3  MATH - No. 456
1 Credit Elective - Grades 10, 11, 12
Prerequisite - Core 2

Core 3, the third course in the four-year integrated high school math program, continues where Core 2 ended in the study of the various strands of math:  algebra and functions, geometry and trigonometry, statistics and probability, and discrete mathematics.  In Core 3, the student will study units dealing with these specific topics:  algebraic representations and reasoning; linear, exponential, power, quadratic, rational, and periodic functions; geometric transformations; geometric reasoning and proofs; recursion equations; and inferential statistics.  This is a fast-paced course for the student who intends to continue their education after high school.  A graphing calculator is required for this course.  We recommend a TI-83 Plus or TI-84. Core 3 completes the 3 year minimum requirement  for UW admissions.
2010-11 and 2011-12 are the last two years this course will be offered.

CORE  4  MATH - No. 459
1 Credit Elective - Grades 11, 12
Prerequisite - Core 3

Core 4, the fourth course in the four-year integrated high school math program, completes the study of the various strands of math:  algebra and functions, geometry and trigonometry, and statistics and probability, with greater emphasis placed on pre-calculus and discrete mathematics.  In Core 4, the student will study units dealing with these specific topics:  rates of change; modeling motion; probability and counting models; polynomial, rational, composite, inverse, and logarithmic functions; algebraic reasoning; and space geometry.  This is a fast-paced course for the student who intends to continue their education after high school.   A graphing calculator is required for this course.  We recommend a TI-83 Plus or TI-84. With the completion of this course, students will have experienced the algebra-geometry-advanced algebra-precalculus sequence.
2010-11, 2011-12, and 2012-13 are the last three years this course will be offered.

*ALGEBRA 1- No. 406
1 Credit Elective - Grade 10
Prerequisite - CMP 8 or Pre-Algebra
Algebra, the first course in the four-year traditional high school math program, is a full-year course devoted to the study of high-school-level algebra.  In this course, the student will learn about the algebra concepts and practice the algebra skills that are important for today’s students.  The student will apply these concepts and skills to solve many different types of problems—using functions, equations, and graphs as algebraic models.  The student will also learn how calculators can help in this process.  The student will have a chance to develop skills in reasoning, communicating, and studying, both independently and in a group.  Throughout the course, the student will investigate connections to geometry, statistics and probability.
  A graphing calculator is recommended for this course.  We recommend a TI-83 Plus or TI-84.

*Geometry - No. 415
1 Credit Elective - Grades 10, 11
Prerequisite - Algebra
Geometry, the second course in the four-year traditional high school math program, is a full-year course devoted to the study of high-school level geometry.  Geometry emphasizes the important concepts and skills associated with reasoning and logical thinking.  The course balances coordinate and plane geometry with transformational geometry and solid geometry.  The student will study and practice the concept of proof, using two-column, flow, and coordinate proofs.  The student will also seek understanding of geometric concepts through construction, incorporating technology as a problem-solving tool.  The student will connect geometry to algebra, data analysis, probability, and trigonometry.
A graphing calculator is recommended for this course.  We recommend a TI-83 Plus or TI-84.

*ALGEBRA 2 – No. 409
1 Credit Elective – Grades 10, 11, 12
Prerequisite – Geometry

 

Algebra 2 is a student’s second look at high school algebra. The student will learn about linear, quadratic, exponential, polynomial, rational, and logarithmic functions; data systems; recursion equations; analytic geometry; discrete mathematics; trigonometry; and probability. This is a fast-paced course for those who intend to continue their educations after high school. A graphing calculator is required for this course. We recommend a TI-83 Plus or a TI-84. Algebra 2 completes the 3-year minimum requirement for college admissions.

PRE-CALCULUS – No. 412
1 Credit Elective – Grades 11, 12
Prerequisite – Advanced Algebra

 

Pre-Calculus is a study of higher level algebra topics in preparation for calculus. The student will learn about linear, quadratic, polynomial, and trigonometric functions; inequalities; exponents and logarithms; analytic geometry; sequences and series; probability and statistics; and limits. This is a fast-paced course for those who plan to continue their educations after high school. A graphing calculator is required for this course. We recommend a TI-83 Plus or a TI-84.


INTRODUCTORY   CALCULUS - No. 418
1 Credit Elective - Grade 12
Prerequisite -
Advanced Mathematics or Core 4
This course is intended for the college-bound student who does not wish to take an AP math course. In Introductory Calculus, the student will review pre-calculus topics covered in previous courses using much more complicated problems than in the past.  Calculus topics will not be covered until second semester; the student will be exposed to only the very basics of calculus and will  not cover an entire Calculus course in this class.  This is a challenging course for the student who intends to continue their education after high school.    A graphing calculator is required for this course.  We recommend a TI-83 Plus or TI-84.

EXPLORATIONS IN ALGEBRA, GEOMETRY, AND STATISTICS – No. 419
1 Credit Elective – Grades 11, 12
Prerequisite - none

 

Explorations in Algebra, Geometry, and Statistics will provide the student with further study and practice on topics from algebra, geometry and statistics. It is intended for the student who does not yet have full mastery of some of the more basic topics from these disciplines. It will be more computational than theoretical and involve more hands-on activities. It would be good preparation for students who are considering options other than a four-year college. A graphing calculator is required. We recommend a TI-83 Plus or TI-84.

INTERMEDIATE ALGEBRA – No. 420
1 Credit Elective – Grades 11, 12
Prerequisite - Algebra

 

This course will align with the Mid-State Technical College Intermediate Algebra Course, their entry-level college algebra course. Topics include real numbers and coordinate systems; linear and quadratic equations and inequalities; exponential, logarithmic, polynomial and other functions. One semester of Intermediate Algebra will serve as a good preparation for any Wisconsin Technical College System entry-level algebra course. Successful completion of both semesters (B or better) will qualify the student for Advanced Standing status in Intermediate Algebra at MSTC. A graphing calculator is required. We recommend a TI-83 Plus or TI-84.

FINANCIAL algebra – No. 421
1 Credit Elective – Grades 11, 12
Prerequisite - none

 

Financial Algebra is designed to meet the Wisconsin State Financial Literacy Standards by focusing on the mathematical skills and concepts associated with these standards and will meet the Financial Literacy graduation requirement. Students will learn how math can be used in their adult lives as they learn the "mathematics of money". Specific topics will include money management; credit and debt management; planning, saving, and investing; relating income and education; becoming a critical consumer; community and financial responsibility; and risk management. A graphing calculator is required. We recommend a TI-83 Plus or TI-84.


AP  CALCULUS AB  - No. 423
1 Credit Elective - Grade 12
Prerequisite -
Advanced or Core 4.*
AP Calculus AB consists of a full academic year of work in calculus comparable to that of a first semester course in Calculus at the college or university level.  It is expected that students who take AP Calculus AB will seek credit or placement or both, from institutions of higher learning.  Students taking this class are expected to have a full knowledge of all pre-calculus topics including, but not limited to, fractions, factoring, functions, algebraic manipulation and trigonometry.  Topics learned in Calculus will be limits, derivatives and integrals.  This class will be challenging and time consuming and it is an expectation that students will spend time outside of class to be successful.  The Advanced Placement test in Calculus will be given in early May and those students who choose to take it may earn college credit if they pass the test.  There is a summer math assignment for this course.  Note:  Students are NOT required to take Calculus in high school as a prerequisite for college mathematics. A graphics calculator is required.  We recommend a TI-83 Plus or TI-84.

AP  CALCULUS BC  - No. 425
1 Credit Elective - Grade 12
Prerequisite - Advanced Math or Core 4.*
AP Calculus BC consists of a full academic year of work in calculus comparable to that of a first and second semester course in Calculus at the college or university level.  It is expected that students who take AP Calculus BC will seek credit or placement, or both, from institutions of higher learning.  Students taking this class are expected to have a full knowledge of all pre-calculus topics including, but not limited to, fractions, factoring, functions, algebraic manipulation and trigonometry.  Topics learned in Calculus will be limits, derivatives, integrals, sequences and series, parametric equations and vector equations.  This class will be challenging and time consuming and it is an expectation that students will spend time outside of class to be successful.  The advanced Placement test in Calculus will be given in early May and is required of those students who choose to take Calculus BC.  Students may earn college credit if they pass the test.  There is a summer math assignment for this course.  Note:  Students are NOT required to take Calculus in high school as a prerequisite for college mathematics. A graphics calculator is required.  We recommend a TI-83 Plus or TI-84.

AP  STATISTICS - No. 427
1 Credit Elective - Grades 11, 12
Prerequisite-
Advanced Algebra or  Core 3.*
AP Statistics  is an Advanced Placement course offering open to motivated students entering Grade 11 or Grade 12 who have successfully completed Core 3, Core 4, Advanced Algebra, Advanced Math, or Calculus.  AP Stats is approximately equivalent to a one-semester college statistics course, which is typically required for college majors such as social sciences, health sciences, business, and education.  Science, engineering, and math majors will typically need to take an upper level calculus-based stats course, for which this is an effective preparation.  The purpose of the AP course in statistics is to introduce students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data.  Students are exposed to four broad conceptual themes:  Exploring Data (observing patterns and departures from patterns), Planning a Study (deciding what and how to measure), Anticipating Patterns (producing models using probability theory and simulation), and Statistical Inference (confirming models).  The national AP exam, which students are expected to take, is offered in May. Note: AP Statistics may not fulfill a high school math credit requirement for some universities where Statistics is a  separate department from Mathematics.  A graphics calculator  with lists is required for the course.  We recommend a TI-83 Plus or a TI-84.

--Please Note--*
In addition, at the time of registration, ALL Students must turn in a permission slip signed by their current Core 3, Core 4, Advanced Algebra, or Advanced Math teacher.

Click to view Math course chart

 

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