Instructors:
Mr. Tim Kuehl
(Department Chair)
Mr. James Livingston
Mr. James Ott
Mr. Mark Nolte
Mrs. Sarah Chojnacki
Mrs. Julie Stoltz
MESA
Exploratorium

Courses Offered
Hover your mouse over a
class to see the course description.
Click on "Video" next to
the course for a video geared towards helping students make course
selections.
Please note that some
videos are not yet available.
Advanced Math Track  HA1
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Advanced Math Track  HA2
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PreAlgebra Course Number: 40110
1 credit (2 semesters)
Required for students not ready for Algebra 1
Grade 9
Note: PreAlgebra is not accepted by most colleges as a math credit.
This course is for those students who need to refine their mathematics
skills before taking Algebra 1. Students review arithmetic skills and
learn the basics of algebra and geometry to prepare them for these
classes. Topics include: the use of formulas from algebra and geometry,
simplifying expressions, graphing, solving one and two step equations,
the basics of linear and quadratic equations, basic trigonometry,
probability, statistics, symmetry, and geometric transformations.
Video
Algebra 1 Course Number: 40121
1 credit (2 semesters)
Required
Grades 912
Prerequisite: PreAlgebra or freshman placement by math department
Algebra 1s a branch of mathematics that is an important stepping stone
to higher mathematics and very useful in today's technological
workplace. This course develops basic algebraic concepts in a problem
solving and systematic way; turning arithmetic into algebra by using
letters to represent unknown numbers, and continuing to find the
unknown numbers through both algebraic and graphical means. Topics
include: a review of algebraic concepts, solving one and two variable
equations and inequalities, functions, finding and using linear
equations and inequalities to solve problems, finding and using
quadratic equations to solve problems, absolute value functions, graphs
of equations, solving systems of equations and inequalities, rules of
exponents, finding and using exponential equations to solve problems,
matrices, one and two variable statistics, and probability. Algebra 1
is intended for those students with average math skills.
Video
Honors Algebra 1 Course Number: 40131
1 credit (2 semesters)
Elective
Grades 9
Prerequisite: Placement by math department
Note: This course is intended for students of above average math
skills, as it goes into greater depth and at a faster pace than Algebra
1.
Algebra is a branch of mathematics that is an important stepping stone
to higher mathematics and very useful in today's technological
workplace. This course develops basic algebraic concepts in a problem
solving and systematic way; turning arithmetic into Algebra by using
letters to represent unknown numbers, and continuing to find the
unknown numbers through algebraic and graphical means. Topics include:
A review of algebraic concepts, solving one and two variable equations
and inequalities, functions, finding and using linear equations and
inequalities to solve problems, finding and using quadratic equations
to solve problems, absolute value functions, graphs of equations,
solving systems of equations and inequalities, rational and radical
expressions and equations, rules of exponents, finding and using
exponential equations to solve problems, an introduction to logarithms,
studying quadratic, polynomial, and exponential equations and their
graphs, matrices, one and two variable statistics and probability.
Video
Geometry Course Number: 40210
1 credit (2 semesters)
Elective
Grades 1012
Prerequisite: Algebra 1 and recommendation of the math department
Where Algebra is the study of numerical patterns, geometry is the study
of visual patterns. In this course, students study these patterns both
geometrically and algebraically covering measurement, symmetry,
transformations, congruence, correspondence, area, volume, and
similarity. Students develop conjectures about the patterns they
discover, and prove their theorems using logic with both informal and
formal, deductive and inductive proof techniques. The course begins
with the geometry of points, and flows naturally to the study of
segments, rays, lines, polygons, polyhedrons, trigonometry, and
circles. Geometry is intended for those students with average math
skills.
Video
Honors Geometry Course Number: 40211
1 credit (2 semesters)
Elective
Grades 912
Prerequisite: Algebra 1 and recommendation of the math department
Note: This course is intended for students of above average math
skills, as it goes into greater depth and at a faster pace than
Geometry.
Note: This course may be taken concurrently with Honors Algebra 2 or
PreCalculus.
Where Algebra is the study of numerical patterns, geometry is the study
of visual patterns. In this course, students study these patterns both
geometrically and algebraically covering measurement, symmetry,
transformations, congruence, correspondence, area, volume, and
similarity. Students develop conjectures about the patterns they
discover and prove their theorems using logic with informal and formal,
deductive and inductive proof techniques. The course begins with the
geometry of points, and flows naturally to the study of segments, rays,
lines, polygons, polyhedrons, trigonometry, and circles. In Honors
Geometry fractal geometry and nonEuclidean geometry are also studied.
Video
Algebra 2 Course Number: 40222
1 credit (2 semesters)
Elective
Grades 1012
Prerequisite: Credit in Algebra 1 and recommendation of the math
department
Note: Algebra 2 may be taken concurrently with Geometry or Honors
Geometry with the math department’s approval.
Building upon basic concepts developed in Algebra 1 and Geometry, this
course expands those concepts and develops additional ones for those
students with average math ability. Engineers, chemists, physicists,
persons in business and industry rely on advanced algebra to solve many
problems. Linear, quadratic, polynomial, exponential, logarithmic,
rational, and radical functions and their graphs, analytic geometry,
matrices, probability, linear and nonlinear regression, and one and
two variable statistics are further developed in this class, while
composition and inverse functions, variation, and the fundamental
theorem of algebra are developed.
Video
Honors Algebra 2 Course Number: 40223
1 credit (2 semesters)
Elective
Grades 912
Prerequisite: Credit in Algebra 1 or Honors Algebra 1 and
recommendation of the math department or freshman placement by math
department.
Note: This course is intended for students of above average math
skills, as it goes into greater depth and at a faster pace than Algebra
2.
Note: Students who plan to take Precalculus should take Honors Algebra
2 instead of Algebra 2.
Note: Honors Algebra 2 may be taken concurrently with Geometry or
Honors Geometry with the math department’s approval.
Building upon basic concepts developed in Algebra 1 and Geometry, this
course expands those concepts and develops additional ones for those
students with above average math ability. Engineers, chemists,
physicists, persons in business and industry rely on advanced algebra
to solve many problems. Linear, quadratic, polynomial, exponential,
logarithmic, rational, and radical functions and their graphs, analytic
geometry, matrices, probability, linear and nonlinear regression, and
one and two variable statistics are further developed in this class,
while composition and inverse functions, variation, and the fundamental
theorem of algebra are developed. In Honors Algebra 2 series and
sequences, conic sections, the binomial theorem, and recursion are also
studied. Video
Math
TopicsPersonal Finance Course
Number: 40310
1 credit (2 semesters)
Elective
Grades 1112
Prerequisite: Credit in Algebra 1
Note: This course may be taken concurrently with Geometry or any higher
level math course.
Note: This course is not accepted by most colleges as a math credit.
Note: This course is offered on an alternate year basis. It will be
offered in 201617.
Though open to all students, this course is designed particularly for
students not intending to go to college to reinforce and develop the
math skills they will need in daily life after high school. Topics will
focus on the application of mathematics in life. Instruction will
center on problem solving, and it will involve investigative and
cooperative group work to learn and apply the concepts being studied.
In addition to units involving basic arithmetic, algebra, geometry, and
statistics, students will also study such topics as personal banking,
taxes, credit cards, purchasing a car and house, and buying insurance.
Video
Math
TopicsTechnical Math Course
Number: 40320
1 credit (2 semesters)
Elective
Grades 1112
Prerequisite: Credit in Algebra 1.
Note: This course may be taken concurrently with Geometry or any higher
level math course.
Note: This course is not accepted by most colleges as a math credit.
Note: This course is offered on an alternate year basis. It will be
offered in 201718.
Though open to all students, this course is designed particularly for
students not intending to go to college to reinforce and develop the
math skills they will need in their work after high school. Topics will
focus on the application of mathematics in life. Instruction will
center on problem solving, and it will involve investigative and
cooperative group work to learn and apply the concepts being studied.
In addition to units involving basic arithmetic, algebra, geometry,
statistics, probability, and trigonometry, students will also study
such topics as business finances, mental math, measurement, and linear
programming.
Video
Transition
to College
Mathematics Course Number: 40337
1 credit (2 semesters)
Elective
Grades 1112
Prerequisite: Credit in Algebra 2 and recommendation of the math
department
Note: Students who complete KML’s Algebra 1  Geometry  Algebra 2
sequence plus this course will be wellprepared for twoyear or
fouryear college programs that do not require calculus and also for
training programs leading to careerlevel jobs.
This problembased, inquiryoriented, fourthyear high school
mathematics course is intended for students who do not plan to major in
the mathematical, physical, or biological sciences or engineering. It
is intended to be a fourth year alternative to Precalculus, but may be
taken anytime after taking Algebra 2. Topics include working with
categorical data, counting methods, binomial distributions, statistical
inference, function models, financial mathematics, informatics, spatial
visualization and representations, decisionmaking, and trigonometry.
Video
Statistics Course Number: 40325
0.5 credits (1 semester)
Elective
Grades 1012
Prerequisite: Credit in Algebra 2 and recommendation of the math
department.
Note: May be taken concurrently with Algebra 2 or a higher level math
course with approval of the math department.
Note: Collegebound students are advised to contact their potential
college to confirm acceptance of this course as a college prep math
course.
Note: This class is the same as the first semester of CAPP/AP
Statistics. Students who sign up only for Statistics may make a
schedule change during the year and continue with the second semester
of CAPP/AP Statistics, and take the AP test, but they will not be
eligible for the CAPP college credit.
Statistics surround us in modern education, business, and life. The
need for people to become statistically literate is imperative for them
to be able to fully comprehend information that will continually
bombard them in life. In this class, students go beyond the basic
statistics they have learned to explore the statistics of both
categorical and quantitative data, constructing and interpreting
graphical displays of distributions of univariate and bivariate data
(dotplot, stemplot, histogram, cumulative frequency plot, scatterplots,
twoway tables), summarizing distributions of univariate data,
comparing distributions of univariate data (dotplots, backtoback
stemplots, parallel boxplots), exploring bivariate data,
transformations to achieve linearity, methods of data collection,
planning and conducting surveys, sampling, planning and conducting
experiments, discussing results and types of conclusions that can be
drawn from observational studies, experiments, and surveys, the normal
distribution, and properties of the normal distribution.
Video
CAPP/AP Statistics Course Number: 40327
1 credit (2 semesters)
Elective
Grades 1012
Prerequisite: Credit in Algebra 2 and recommendation of the math
department.
Note: Sophomores may only take AP Statistics as the CAPP program is not
available to sophomores.
Note: Students enrolling in the CAPP dualcredit option will be
required to meet the prerequisites established by UWOshkosh and to pay
an additional fee.
Note: Students enrolled in the CAPP course will receive 3 college
credits for Elementary Statistics (MAT109) from UWOshkosh upon
successful completion of the course.
Note: Students opting to take the AP test should contact their intended
college for information on AP scores and transferability.
Statistics surround us in modern education, business, and life. The
need for people to become statistically literate is imperative for them
to be able to fully comprehend information that will continually
bombard them in life. In this class, students go beyond the basic
statistics they have learned to explore the statistics of both
categorical and quantitative data, constructing and interpreting
graphical displays of distributions of univariate and bivariate data
(dotplot, stemplot, histogram, cumulative frequency plot, scatter
plots, twoway tables), summarizing distributrions of univariate data,
comparing distributions of univariate data (dotplots, backtoback
stemplots, parallel boxplots), exploring bivariate data,
transformations to achieve linearity, logarithmic and power
transformations, methods of data collection, planning and conducting
experiments, discussing results and types of conclusions that can be
drawn from observational studies, experiments, and surveys,
probability, combining independent random variables, the normal
distribution, properties of the normal distribution, sampling
distributions, statistical inference, point estimators and confidence
intervals, and tests of significance.
Video
PreCalculus Course Number: 40342
1 credit (2 semesters)
Elective
Grades 1012
Prerequisite: Credit in Algebra 2 and recommendation of the math
department
Note: PreCalculus may be taken concurrently with Honors Geometry,
Statistics or CAPP/AP Statistics.
Note: Students who plan to take Calculus I should take Precalculus.
Students who have found an aptitude and interest in mathematics and
whose career choices require a strong math background will benefit from
this course. The course includes an indepth study of trigonometry.
Students also study the linear, quadratic, polynomial, rational,
radical, exponential, and logarithmic functions to a greater depth and
techniques used to fit equations to variable data. Also included is a
study of matrices, parametric equations, conic sections, the binomial
theorem, mathematical induction, limits, series and sequences,
permutations, and combinations. An introduction to calculus is embedded
in the course work and will serve as a leadin to higherlevel math
courses.
Video
CAPP/AP Calculus I Course Number: 40422
0.5 credits (1 semester)
Elective
Grades 1112
Prerequisite: Credit in Precalculus and recommendation of the math
department
Note: Students that have shown a strong ability in mathematics and need
to study calculus for their future career are encouraged to take this
course.
Note: Students enrolling in the CAPP dualcredit option will be
required to meet the prerequisite established by UWOshkosh and to pay
an additional fee.
Note: Students enrolled in the CAPP course will receive 4 college
credits for Calculus I (MAT171) from UWOshkosh upon successful
completion of the course.
Note: Students opting to take the AP test should contact their intended
college for information on AP scores and transferability. Students
opting for the AP test will also need to take Calculus II in order to
cover the topics on the AP test.
This course is based on the study of real valued functions of a single
variable. The course topics include derivatives, antiderivatives, and,
if time permits, definite integrals. Applications of differentiation,
such as related rates, optimization, and curvesketching, are also
covered.
Video
CAPP/AP Calculus II Course Number: 40423
0.5 credits (1 semester)
Elective
Grades 1112
Prerequisite: Credit in Calculus I and recommendation of the math
department.
Note: Students that have shown a strong ability in mathematics and need
to study calculus for their future career are encouraged to take this
course.
Note: Students enrolling in the CAPP dualcredit option will be
required to meet the prerequisite established by UWOshkosh and to pay
an additional fee.
Note: Students enrolled in the CAPP course will receive 4 college
credits for Calculus II (MAT172) from UWOshkosh upon successful
completion of the course.
Note: Students opting to take the AP test should contact their intended
college for information on AP scores and transferability. Students will
be prepared to take either the Calculus AB or the Calculus BC AP test.
This course covers definite integration and applications, several
techniques of integration, approximation, and improper integrals.
Numerical differential equations, slope fields, Euler's method, and
mathematical modeling. Taylor and Fourier Series are also covered.
Video
CAPP Calculus III Course Number: 40424
0.5 credits (1 semester)
Elective
Grade 12
Prerequisite: Credit in Calculus II and recommendation of the math
department
Note: Students that have shown a strong ability in mathematics and need
to study calculus for their future career are encouraged to take this
course.
Note: Students enrolling in the CAPP dualcredit option will be
required to meet the prerequisite established by UWOshkosh and to pay
an additional fee.
Note: Students enrolled in the CAPP course will receive 4 college
credits for Calculus III (MAT273) from UWOshkosh upon successful
completion of the course.
This course covers vectors in two and three dimensions and vector
functions. Multivariate differential and integral calculus, partial
derivatives and multiple integrals. Line and surface integrals.
Video
Differential Equations
Course Number: Independent Study
0.5 credit (1 semester)
Elective
Grades 12
Prerequisite: Credit in Calculus II and recommendation of the math
department
Note: This class is offerred through UWOnline second semester. Upon
successful completion, students will earn 3 college credits for MAT 271
from UWOnline in addition to 0.5 credits from KML.
Ordinary differential equations of the first and second order, series
solutions, higher order linear equations, the Wronskian, Laplace
transform and applications, numerical methods and boundary value
problems
Video
Additional
Independent Study Math Courses Course
Number: Independent Study
0.5 credits (1 semester)
Elective
Grades 1112
Prerequisite: Varies by course.
Students with stong math abilities are welcome to further their studies
in mathematics through various college and online options. These can
include classes from college prep programs offered at numerous
universities during the summer and/or online classes from universities,
high schools, and course providers. Students desiring to take a class
through one of these programs and also have it count for KML credit
need to complete the Outside Study form available from Student
Services. Students may also opt to take these courses separately from
KML credit.
A list of known and recommended courses is provided below.
Video
Known and
recommended programs:
MAT 210 Topics in Finite Mathematics from UWOnline
Prerequisite: Algebra 2 Offerred second semester
MAT 113 Trigonometry from UWOnline
Prerequisite: Algebra 2 Offerred in the summer and first and second
semester
Northwestern
University College Preparation Program
Summer Calculus and Linear Algebra courses
Stanford
University College Preparation Program
Summer Calculus and Linear Algebra courses

Department Outcomes
The goal of the KMLHS
Mathematics Department is to train children of God to appreciate God’s
order of creation in the logical structure of math.
Graduates of the KMLHS
Mathematics Department will be:
1. Children of God who
1.1 appraise their current
math skills and, building on their previous knowledge of mathematics,
develop their math skills in light of new developments in their lives
and in society.
1.2 evaluate data to guide their lives of Christian stewardship.
1.3 utilize their Godgiven abilities in mathematics to serve Him.
2. Selfdirected learners who
2.1. integrate the rules of
mathematics to solve problems.
2.2. incorporate the use of numbers and variables effectively.
2.3. integrate mathematical reasoning to produce a solution.
2.4. evaluate a problem solving situation and choose an appropriate
problem solving strategy.
2.5. solve problems using various appropriate strategies.
2.6. justify solutions to their work.
3. Problem solvers who
3.1. organize a plan to
complete a project.
3.2. recognize and analyze patterns and incorporate them into problem
solving situations.
3.3. decide upon an appropriate tool for solving a problem.
4. Cooperative learners who
4.1. contribute in solving
group projects.
4.2. communicate effectively to
4.2.1. relate their understanding of mathematics.
4.2.2. provide sound explanations of their reasoning in problemsolving
situations.
4.3. develop and complete tasks assigned to them.
5. Informed citizens who
5.1. analyze data in their
lives.
5.2. incorporate their mathematical knowledge and skills as a
productive member of society.
