MATHEMATICS “I advise my students to listen carefully the moment they decide to take no more math courses. They might be able to hear the sound of closing doors.” James Caballero – author/business owner Course Offerings Course Credits 9th 10th 11th 12th Algebra I 1.0 X X X X Geometry 1.0 X X X X Algebra II 1.0 X X X X STEM Math 10 1.0 X Probability & Statistics 0.5 X X X College Test Prep 0.5 X X Functions, Statistics & Trigonometry 0.5 X X PreCalculus 1.0 X X Madison College – Elementary Algebra 1.0 3 dual X X AP Calculus 1.0 X X Mathematics 143 Mathematics for Business and Social Sciences 1.0 3 dual X Tech Ed Class Equivalent to Math Credit Machine Tool Math I 1.0 X X Computer Course Equivalent to Math Credit Computer Programming I 0.5 X X X High School credits earned in middle school (Algebra I and Geometry) are considered “elective” credit NOT mathematics credit toward PHS graduation requirements. Those elective mathematic credits will not be applied to the student’s PHS cumulative grade point average (GPA). 1
Transcript
MATHEMATICS
“I advise my students to listen carefully the moment they decide to take no more math courses. They might be able to hear the sound of closing doors.” James Caballero – author/business owner
Course Offerings
Course Credits 9th 10th 11th 12th
Algebra I 1.0 X X X X Geometry 1.0 X X X X Algebra II 1.0 X X X X STEM Math 10 1.0 X Probability & Statistics 0.5 X X X College Test Prep 0.5 X X Functions, Statistics & Trigonometry 0.5 X X PreCalculus 1.0 X X Madison College – Elementary Algebra 1.0
3 dual X X
AP Calculus 1.0 X X Mathematics 143 Mathematics for Business and Social Sciences
1.0 3 dual X
Tech Ed Class Equivalent to Math Credit
Machine Tool Math I 1.0 X X
Computer Course Equivalent to Math Credit Computer Programming I 0.5 X X X
High School credits earned in middle school (Algebra I and Geometry) are considered “elective” credit NOT mathematics credit toward PHS graduation requirements.
Those elective mathematic credits will not be applied to the student’s PHS cumulative grade point average (GPA).
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Course Descriptions ALGEBRA I 1 credit 9/10/11/12 Algebra I aims to deepen and extend student understanding builtin previous courses by focusing on developing fluency with solving equations and inequalities and systems; extending these skills to solving quadratic and exponential functions; exploring functions, including sequences, graphically, numerically, symbolically and verbally; and using regression techniques to analyze the fit of models to distributions of data. On a daily basis, students use problemsolving strategies, questioning, investigating, analyzing critically, gathering and constructing evidence, and communicating rigorous arguments justifying their thinking. Students learn in collaboration with others, sharing information, expertise, and ideas. The course is well balanced between procedural fluency (algorithms and basic skills), deep conceptual understanding, strategic competence (problem solving), and adaptive reasoning (extension and transference). A schoolowned TI84 graphing calculator will be used in this course. $5 course fee OR four AAA batteries will be collected from each student using a school graphing calculator. Students are also required to have bluelined graph paper for class. GEOMETRY 1 credit 9/10/11/12 Prerequisites: Successful completion of Algebra I This course calls on students to use their logical and analytical skills to solve a variety of problems. Topics include: triangle relationships, measuring areas and perimeters, right triangle trigonometry, volumes and surface areas of solids, parallel lines and related angles, proving triangles congruent, quadrilaterals, similarity, and circles. Proficiency in geometry is needed for success on the ACT and SAT. Daily assignments are given. Note: A schoolowned TI84 graphing calculator will be used extensively throughout this course. $5 course fee OR four AAA batteries will be collected from each student using a school graphing calculator. ALGEBRA II 1 credit 9/10/11/12 Prerequisites: Successful completion of Algebra I and Geometry Algebra II aims to apply and extend what students have learned in previous courses by focusing on finding connections between multiple representations of functions, transformations of different function families, finding zeros of polynomials and connecting them to graphs and equations of polynomials, modeling periodic phenomena with trigonometry, and understanding the role of randomness and the normal distribution in making statistical conclusions. On a daily basis, students use problem solving strategies, questioning, investigating, analyzing critically, gathering and constructing evidence, and communicating rigorous arguments justifying their thinking. Students learn in collaboration with others, sharing information, expertise, and ideas. The course is well balanced between procedural fluency (algorithms and basic skills), deep conceptual understanding, strategic competence (problem solving), and adaptive reasoning (extension and transference). Note: A schoolowned TI84 graphing calculator will be used extensively throughout the course. $5 course fee OR four AAA batteries will be collected from each student using a school graphing calculator. PROBABILITY & STATISTICS .5 credit 10/11/12 Prerequisites: Successful completion of Algebra I, Geometry, and Algebra II This course includes live data analysis that will incorporate technology (graphing calculator and/or computers). All students would be encouraged to take this course before or after PreCalculus, but this course is not a prerequisite for Calculus. FUNCTIONS, STATISTICS & TRIGONOMETRY .5 credit 10/11/12 Prerequisite: Successful completion of Algebra II This course is designed as a college prep course for the student who is not necessarily majoring in a mathematics or science field. Successful completion of this course should prepare the student for PreCalculus or Calculus. The topics covered include functions, logarithms, trigonometry, probability, sequences and statistics. Note: A schoolowned TI84 graphing calculator will be used extensively throughout this course.
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PRECALCULUS 1 credit 10/11/12 Prerequisites: Successful completion of Algebra I, Geometry, and Algebra II; 9 th graders are not eligible to take this course. This course is designed for collegebound students, no matter what their area of interest is. Specific topics covered will be functions and their graphs, inverse functions and relations, solving of equations of various degrees, transformation of functions, composite, polynomial, exponential, logarithmic and rational functions, unit circle and analytical trigonometry, parametric and polar equations. Mathematical modeling and real life applications are integrated throughout each unit. Note: A graphing calculator is required for this class. A TI83 or TI84 is recommended. THIS IS A PRIME CLASS – STUDENT MUST COMPLETE A PRIME COURSE CONTRACT. COLLEGE TEST PREP .5 credit 11/12 Prerequisites: Successful completion of Geometry. Algebra II is strongly recommended prior to taking this course but not required. This course will prepare students for taking the mathematics portion of standardized tests. Juniors will find this class helpful in preparing for the ACT, and seniors will find it advantageous in preparing for the COMPASS or college placement tests. PreAlgebra, Elementary Algebra, Intermediate Algebra, Coordinate Geometry, Plane Geometry and Trigonometry will be reviewed. Students will learn helpful testtaking strategies and problemsolving techniques. They will also practice taking multiplechoice tests and gain confidence in taking timed math tests. Through practice, this class should help to reduce a student’s anxiety toward taking standardized tests. Students are required to purchase the current edition of “The Real ACT” workbook (approximately $20).
MADISON COLLEGE ELEMENTARY ALGEBRA 1 credit 3 dual credits 11/12
Prerequisites: Successful completion of Geometry This course offers traditional algebra topics with applications. Learners develop algebraic problemsolving techniques needed for technical problem solving and for more advanced algebraic studies. Topics include linear equations, exponents, polynomials, rational expressions, and roots and radicals. Successful completion of this course prepares learners to succeed in technical mathematic courses. AP CALCULUS 1 credit 11/12 Prerequisites: Successful completion of Algebra I, Algebra II, Geometry, and PreCalculus This course will discuss the topics covered in a first semester college Calculus class, including functions, limits, derivatives, and integrals. Emphasis will be placed on application problems and analysis of results. This course is recommended for students who will take Calculus in college. Students who are willing to work beyond expectations will be able to take the Advanced Placement exam. Note: A graphing calculator is required for this class. A TI84 is recommended. THIS IS A PRIME COURSE – STUDENTS MUST COMPLETE A “PRIME COURSE CONTRACT”.
MATHEMATICS FOR BUSINESS AND SOCIAL SCIENCES 1 high school 3 college 12
Prerequisites: Successful completion of PreCalculus plus students must meet UW Whitewater requirements of a minimum of 3.25 cum GPA or Top 25% of class. Mathematical preparation for the understanding of various quantitative methods in modern management and
social sciences. Topics included are sets, relations, linear functions, interest, annuities, matrix theory, the solution of linear systems by the graphical, algebraic, GaussJordan, and inverse methods, linear programming by graphical and simplex methods, counting and probability, and decision theory. Students are responsible for the cost of tuition which is approximately $300 per course (based on current UWW tuition rates). THIS IS A PRIME COURSE – STUDENTS MUST COMPLETE A “PRIME COURSE CONTRACT”.
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This class satisfies a required Mathematics credit for graduation from Portage High School
or considered a Technology & Engineering elective credit but is not considered a college Math credit.
MACHINE TOOL MATH I 1 credit 11/12 Prerequisites: Took Algebra I and Geometry This course will be a great handson class for students to complete a 3 rd credit of mathematics that is required to graduate. The benefits of the course will be that all math concepts will be linked to application in technology education. The final assessment for this class will be that all students will be able to take the COMPASS Test at Madison College. This course will be handson, mathematically enriching, and applicable because of the use of equipment in technology education. This class will be team taught by a math teacher and technology education teacher. Students will meet in a math classroom one day and then work on the math concepts in a technology education laboratory the next day. Two classes will be taught simultaneously between the math and technology education departments. STEM MATH 10 1 credit 11/12
Prerequisites: Took Algebra I and Geometry This course is required while participating in te STEM Portage Enterprise Program.
