MATHEMATICS

  • Students are expected to earn four (4.0) math credits to meet the graduation requirement. Included in the four credits are the required courses of Algebra I, Geometry and Algebra II. One additional math or math-related credit must be earned during the senior year.

    Students whose mathematics proficiency is below grade level as indicated by 8th grade assessments will be recommended to take the Strategic Mathematics course in addition to the Algebra I course.

    Strategic Mathematics 
    [SBG] Applied
    1 Trimester - 0.5 Credit
    Course #: 5001-456
    Co-requisite: Algebra I
    Scheduling Note: May be repeated each trimester based on need
    This course is designed for students to increase skills needed to be successful in mathematics. The balanced approach to mathematics in this course will provide diagnostic interventions based on individual student needs and provide support for the ‘regular’ math class.

    REQUIRED COURSES

    [R] Algebra I 9A
    [SBG] Applied
    1 Trimester - 0.5 Credit
    Course #: 5010-7
    Prerequisite: None
    This course provides students with an introduction to the fundamental skills and concepts of algebra, including problem solving, proportions, linear functions, and exponential functions. This course integrates use of multiple representations including graphs, tables, and equations and uses manipulatives and technology to further students’ algebraic thinking. Students learn to model and solve real-life situations with connections to geometry, statistics, and probability.

    AND

    [R] Algebra I 9B
    [SBG] Applied
    1 Trimester - 0.5 Credit
    Course #: 5010-8
    Prerequisite: Algebra I 9A
    This course provides students with a continuation of the fundamental skills and concepts of algebra, including quadratic functions, inequalities, absolute value, laws of exponents, and rational expressions. This course continues to integrate the use of multiple representations, including graphs, tables, and equations and uses manipulatives and technology to further students’ algebraic thinking. Students learn to model and solve real-life situations with connections to geometry, statistics, and probability.

    AND

    [R] Algebra I 9C
    [SBG] Applied
    1 Trimester - 0.5 Credit
    Course #: 5010-9
    Prerequisite: Algebra I 9B
    This course completes the fundamental skills and concepts of algebra, including quadratic functions, inequalities, absolute value, laws of exponents, and rational expressions. This course continues to integrate the use of multiple representations, including graphs, tables, and equations, and uses manipulatives and technology to further students’ algebraic thinking. Students learn to model and solve real-life situations with connections to geometry, statistics, and probability.

    [R] Geometry A
    [SBG] Applied
    1 Trimester - 0.5 Credit
    Course #: 5020-2
    Prerequisite: Algebra I B 
    This course will develop students’ analytical and spatial reasoning while focusing on the first half of the essential concepts of geometry such as transformation of shapes, perimeter, formal proofs, coordinate-geometry, angles and measurement, congruency and similarity of triangles, and probability.  Students learn to connect the concepts of geometry to real-world applications, technology, algebra, and other academic disciplines.

    AND

    [R] Geometry B
    [SBG] Applied
    1 Trimester - 0.5 Credit
    Course #: 5020-3
    Prerequisite: Geometry A
    This course will develop students’ analytical and spatial reasoning while focusing on the second half of the essential concepts of geometry such as area, volume, trigonometry, informal proofs, two- and three-dimensional geometric figures, and properties of circles, polygons, and assorted geometric concepts related to the geometry of the plane. Students will continue to learn to connect concepts of geometry to real-world applications, technology, algebra, and other academic disciplines.

    [R] Algebra II A
    [SBG] Applied
    1 Trimester - 0.5 Credit
    Course #: 5030-2
    Prerequisite: Geometry B
    This course will further develop students’ ability to reason algebraically by building upon Algebra I and Geometry concepts. Students will focus on the first half of the essential concepts in Algebra II such as the family of functions, including linear, exponential, and quadratic, along with sequences, transformations, logarithms, and inverses. Students will extend their learning to model and solve real-life situations involving technology and other academic disciplines.

    AND

    [R] Algebra II B
    [SBG] Applied
    1 Trimester - 0.5 Credit
    Course #: 5030-3
    Prerequisite: Algebra II A
    This course will continue to develop students’ ability to reason algebraically by building upon Algebra I, Geometry, and Algebra II A concepts. Students will focus on the second half of the essential concepts in Algebra II such as polynomials and power functions, counting and inferential statistics, and conic sections. Students will also extend their knowledge of univariate and bivariate statistical applications. Students will continue to extend their learning to model and solve real-life situations involving technology and other academic disciplines.

    OR – ALGEBRA II: Two-Year Option
    Michigan Merit Curriculum Law Sec. 1278b(5)(f) states, Under a personal curriculum, a student may elect to complete the same content as Algebra II over two years (four trimesters), with a credit awarded for each of those two years. To accommodate a student opting to take Algebra II for an extended period of time, Algebra II A Part I and Algebra II A Part II taken in two trimesters is equivalent to Algebra II A taken in one trimester, and Algebra II B Part I and Algebra II B Part II taken in two trimesters is equivalent to Algebra II B taken in one trimester. 

    Algebra II A Part I
    [SBG] Applied
    1 Trimester - 0.5 Credit
    Course #: 5031-2
    Prerequisite: Geometry B
    This course will further develop students’ ability to reason algebraically by building upon Algebra I and Geometry concepts. Students will focus on the first half of the essential concepts in Algebra II such as sequences and the family of functions, including linear and exponential.  Students will extend their learning to model and solve real-life situations involving technology and other academic disciplines.

    AND

    Algebra II A Part II
    [SBG] Applied
    1 Trimester - 0.5 Credit
    Course #: 5031-3
    Prerequisite: Algebra II A Part I
    This course will further develop students’ ability to reason algebraically by building upon Algebra I and Geometry concepts. Students will focus on the first half of the essential concepts in Algebra II such as quadratic functions, transformations, logarithms, and inverses. Students will extend their learning to model and solve real-life situations involving technology and other academic disciplines.

    Algebra II B Part I
    [SBG] Applied
    1 Trimester - 0.5 Credit
    Course #: 5032-2
    Prerequisite: Algebra II A Part II
    This course will continue to develop the students’ ability to reason algebraically by building upon Algebra I, Geometry, and Algebra II A concepts. Students will focus on the second half of the essential concepts in Algebra II such as polynomials and power functions, and conic sections. Students will continue to extend their learning to model and solve real-life situations involving technology and other academic disciplines.

    AND

    Algebra II B Part II
    [SBG] Applied
    1 Trimester - 0.5 Credit
    Course #: 5032-3
    Prerequisite: Algebra II B Part I
    This course will continue to develop the students’ ability to reason algebraically by building upon Algebra I, Geometry, and Algebra II A concepts. Students will focus on the second half of the essential concepts in Algebra II such as probability, counting, and inferential statistics. Students will also extend their knowledge of univariate and bivariate statistical applications. Students will continue to extend their learning to model and solve real-life situations involving technology and other academic disciplines.

    MATH ELECTIVES

    Discrete Mathematics
    1 Trimester - 0.5 Credit
    Course #: 5058-1
    Prerequisite: Algebra II B
    This course is designed for students who have completed their core mathematics courses through Algebra II and who have an interest in computer science. The content covers widely applicable mathematical tools for computer science, including topics from logic, set theory, number theory, probability theory, and graph theory. Discrete Mathematics also teaches reasoning and proof techniques that apply to real world mathematics, such as coding, cryptography, and logistics. Students will develop the ability to apply these techniques and acquire a sense of utility and value of mathematics beyond the classroom.

    Math Analysis 
    1 Trimester - 0.5 Credit
    Course #: 5050-1
    Prerequisite: Algebra II B
    This advanced math course includes in-depth studies of the families of functions as they relate to real-world applications and deeper mathematical study. Students will also extend their knowledge of univariate and bivariate statistical applications. Graphing calculators are extensively used as students connect their understanding with multiple representations.

    Mathematical Modeling 
    1 Trimester - 0.5 Credit
    Course #: 5051-1
    Prerequisite: Geometry B
    This course offers students who have successfully completed Algebra I and Geometry an opportunity to mathematically model real world phenomena such as Olympic competitions, art, personal financial decision making, movies, and music. Concepts that focus on the modeling process are: direct and indirect variation, family of functions, systems of equations, proportions, trigonometry, and finance. Students will also extend their knowledge of univariate and bivariate statistical applications. The modeling process (forming a theory, testing it, and revisiting it based on the results of the test) is critical for learning how to think mathematically. This course is ideally suited as a mathematics elective or as a precursor to Algebra II.

    Personal Financial Literacy
    1 Trimester - 0.5 Credit
    Course #: 5054-1
    [MAC] Economics Credit
    Prerequisite: Geometry B
    This course is designed to help students make responsible financial choices through financial literacy. Students will learn how choices influence occupational options and future earning potential. Students will also learn to apply decision-making skills to evaluate career choices and set personal goals. The course content is designed to help the learner make wise spending, saving, and credit decisions and to make effective use of income to achieve personal financial success. Topics include creating and using a personal budget, understanding credit, personal loans, cost of independent living, being an intelligent consumer through vehicle purchasing and insurance and understanding taxes.

    Precalculus A
    1 Trimester - 0.5 Credit
    Course #: 5052-2
    Prerequisite: Algebra II B  
    This course deepens students’ understanding of algebra and extends their ability to apply algebraic concepts and procedures at higher conceptual levels. The focus in this first half of the course involves theory and applications of both trigonometric functions and analytic trigonometry.  Students will also extend their knowledge of univariate and bivariate statistical applications. Connections are made that allow students to model and solve real-world problems. Graphing calculators are highly utilized to meet this goal.

    AND

    Precalculus B
    1 Trimester - 0.5 Credit
    Course #: 5052-3
    Prerequisite: Precalculus A
    This course continues to deepen students’ understanding of algebra and extends their ability to apply algebraic concepts and procedures at higher conceptual levels. The focus in this second half of the course involves conics, vectors, polar graphs in the Cartesian and Complex planes, parametric equations, and various discrete topics. Connections are made that allow students to model and solve real-world problems. Graphing calculators are highly utilized to meet this goal.  Successful completion of Precalculus A and B fully prepares students for Calculus.

    Statistics and Probability 
    1 Trimester - 0.5 Credit 
    Course #: 5053-1
    Prerequisite: Geometry B
    Students in this course will explore and compare univariate and bivariate data sets using both graphical and numerical summary measures, learn principles of data collection, and study design that aims to minimize bias and variability of resulting data. Students use discrete probability distributions as models for random systems and use conditional probability to solve applied problems. Normal distribution is studied and sampling distributions for means and proportions are developed. Students learn the logic and terminology of confidence interval estimation and significance testing. With an increasing emphasis on data based decision making, this mathematics elective will be extremely valuable for KPS graduates.

     

    ADVANCED PLACEMENT MATHEMATICS CLASSES

    Advanced Placement (AP) courses meet for a full year (three trimesters) as they require more time to cover the rigorous AP College Board curriculum in preparation for the AP Exam taken in early May. Advanced Placement courses are intended for students in grades 10-12.

    Due to the rigor of AP courses, students are strongly encouraged to complete a summer assignment as suggested by the AP teacher. Content from summer assignments will be included on an assessment during the first trimester. A packet with detailed course information is available in the principal’s office.

    [AP] [W] [C] AP Calculus AB 
    3 Trimesters - 1.5 Credits
    Course #: 5091-789
    Prerequisite: Precalculus B
    This course is a rigorous study of limits, differential (implicit and explicit) equations, differentiation techniques, integration techniques, rates of change, logarithmic, exponential and other transcendental functions with multiple representations and applications. There is a heavy emphasis on algebraic and graphical models using graphing calculators and other technologies.

    [AP] [W] [C] AP Statistics               
    3 Trimesters - 1.5 Credits
    Course #: 5092-789
    Prerequisites: Algebra II B
    This course is a rigorous study of collecting, analyzing, and drawing conclusions from data.  Students are exposed to four broad conceptual themes: exploring data by describing patterns and departure from patterns, sampling and experimentation through planning and conducting a study, anticipating patterns by exploring random phenomena using probability and simulations, and statistical inference through estimating population parameters and testing hypotheses. The uses of computer and calculator programs enhance the modeling of statistical applications in the real world.