VALPARAISO HS MATHEMATICS

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1 M51020 Algebra I 9 M51030 Algebra I TT 9 M51590 Algebra I Lab 9 M51170 Geometry 9 M51180 Geometry (So. Only) 10 M51190 Geometry TT 10 M51630 Math 10 (Sophomore Lab) 10 M51110 Algebra II Honors/Pre-IB 10 M51070 Algebra II (2) M51730 Algebra II Apex M51260 Pre-Calculus/Trigonometry Honors/IB ( DC/CE) 11 M51240 Pre-Calculus/Trigonometry (2) IB (DC/CE) M51740 Pre-Calculus Apex 12 M51120 AP Calculus AB Honors/IB SL ( DC/CE) 12 M51130 AP Calculus BC (1) Honors/IB SL ( DC/CE) 12 M51310 AP Statistics Honors 12 M51320 Probability and Statistics (Offered 1 st Semester Only) 12 M51330 Trigonometry (Offered 2 nd Semester Only) 12 M5 CCR Bridge: Math Ready (Math RDY) 12 Note: DC/CE = Dual Credit or Concurrent Enrollment class option with PNC Program. Students can apply to earn both VHS credits and Purdue University credits. Interested students must apply to PNC. Additional info on the VHS Website. The Honors/IB course progression is designed for those students who have a high interest level and ability in mathematics. This pathway is recommended for high ability students, as the courses taught at this level are usually fast-paced and highly rigorous. Anyone who plans a college major in mathematics, science, engineering, or related fields should be enrolled in Honors/IB. Students seeking an IB Diploma should enroll in any course that is designated Pre-IB or IB. Both Calculus classes are Standard Level (SL) for IB identification. As a general rule, students should continue in their given pathway as long they are earning a grade of A, B or C. A lower placement than Honors should be considered for a succeeding academic experience if a grade of D or lower has been earned. Additionally, students may be recommended for a lab course and/or team taught course if a teacher believes that additional support will provide the student necessary skills to be successful in their math curriculum. Students with a consistent grade of A in all facets of a course may move into Honors only by teacher recommendation. 1

2 M51020 Algebra I 9 2 Cr., 2 Sem. Prerequisite : 8th Grade Mathematics This course is a prerequisite for all math courses. Topics include sets, operations, properties, equation solving, factoring, graphing, inequalities, polynomial operations, radicals, relations, and functions. Students who earned a grade of C or lower in an eighth grade Algebra I course are encouraged to consider taking Algebra I again. This course counts as a Math course for all diplomas. Out of class time required: 2 3 hours/week. M51030 Algebra I TT 9 2 Cr., 2 Sem. Prerequisite : 8th Grade Mathematics; Teacher Recommendation This course is identical in content and pacing to the Algebra 1 course, except that it will be co-taught to be provide additional support to students who need more 1-on-1 interaction and tutoring from the instructor. This course counts as a Math course for all diplomas. Out of class time required: 2 3 hours/week. M51590 Algebra I Lab 9 2 Cr., 2 Sem. Prerequisite : Teacher Recommendation Algebra I Lab is a unique course that is designed to give struggling math students additional instruction as they progress through their freshmen year of Algebra 1. Any student who is identified as a struggling math student, in the eighth grade, may be recommended for Algebra I Lab. Students who take Algebra I Lab must also take Algebra 1. The course curriculum is designed to review fundamental math skills that may not have been mastered in middle school, while also reinforcing newer algebra skills that are developed throughout the Algebra 1 course. One of the requirements for graduation is a passing score on the Graduation Qualifying Exam (ISTEP+10). Algebra I Lab is intended to provide additional support and preparation for students who may struggle to pass the Graduation Qualifying Exam. Counts as a Mathematics Course for the General Diploma only or as an Elective for the Core 40 diploma. Out of class time required: 0 ½ hours/week. M51170 Geometry (9th Graders Only) 9 2 Cr., 2 Sem. Prerequisite : Algebra I and 8th Grade Teacher Recommendation This course is similar in content to the sophomore Geometry course. However, topics are covered in greater depth, there is greater emphasis on proof, a greater degree of sophistication and rigor is expected, and more topics are covered. Students are selected for this advanced course based upon their previous record in mathematics, their interest, and teacher recommendation. This course counts as a Math course for all diplomas. Out of class time required: 3 4 hours/week. 2

3 M51180 Geometry (10th Graders Only) 9,10 2 Cr., 2 Sem. Prerequisite : Algebra I The geometries of two and three dimensions are integrated throughout the course. Topics include properties of geometric figures, logic, deductive reasoning, congruence, similarity, area, volume, and introduction to analytic geometry and trigonometry. Proofs are an integral part of this course. In conjunction with our Core 9 and Core 10 programs, these courses are designated as freshman only or sophomore only. This course counts as a Math course for all diplomas. Out of class time required: 2 3 hours/week. M51190 Geometry TT 9 2 Cr., 2 Sem. Prerequisite : 8th Grade Mathematics; Teacher Recommendation This course is identical in content and pacing to the Geometry course, except that it will be co-taught to be provide additional support to students who need more 1-on-1 interaction and tutoring from the instructor. This course counts as a Math course for all diplomas. Out of class time required: 2 3 hours/week. M51630 Math Cr., 2 Sem. Prerequisite : Algebra 1; Teacher Recommendation Math 10 is a new two-semester course designed to reinforce and elevate the Algebra 1 and 7th and 8th grade geometry knowledge and skills necessary for students to successfully complete high school mathematics courses beyond Algebra 1 and essentials for passing the state's graduation qualifying exam in mathematics. Enrollment will be contingent upon recommendation of the Algebra I teacher based on diagnostic results of performance in Algebra I and/or mathematics competency assessments. The standards for this course are aligned to the state standards that students need to master for success with the state's graduation qualifying exam in mathematics and the next level math courses. Emphasis is on a variety of instructional methods designed to meet each student's needs and delivered through competency-based units with frequent pre and post assessment data analyzed to drive instructional design and delivery. Counts as a Mathematics Course for the General Diploma only or as an Elective for the Core 40 diploma. Out of class time required: 0-½ hours/week. M51110 Algebra II Honors/Pre IB 10 2 Cr., 2 Sem. Prerequisite : Algebra I, Geometry Pre-IB This Honors course is similar in content to the Algebra II (2) course. Topics are covered in greater depth. There is greater emphasis on problem solving. Additional topics are also covered. The students are expected to work at a greater degree of rigor. Students are selected for this course by three criteria: previous record in mathematics, their interest, 3

4 and teacher recommendation. This course receives the Honors extra point for GPA. This course counts as a Math course for all diplomas. Out of class time required: 4 5 hours/week. M51070 Algebra II (2) 10,11 2 Cr., 2 Sem. Prerequisite : Algebra I, Geometry This course is a continuation and expansion of Algebra I. Topics covered include theory of equations, functions, graphing, the real number axioms, complex numbers, exponents and logarithms, sequences and series, and an introduction to analytic Geometry and Trigonometry. This course counts as a Math course for all diplomas. Out of class time required: 2 3 hours/week. M51730 Algebra II Apex 11,12 2 Cr., 2 Sem. Prerequisite : Algebra 1; Geometry; Teacher Recommendation This course provides the same curriculum as the traditional Algebra 2 (3) course. The traditional Algebra 2 (3) course is taught in a traditional classroom environment. The Algebra 2 (3) Apex course is taught through computer software stored on a departmental laptop cart. The Apex Learning software is the primary instructional tool used by the teacher. The students are able to learn at a pace that is unique to their specific needs. Students receive significantly more individualized instruction from the teacher on a daily basis. Students who benefit from this type of instructional setting may prefer the Apex version of the Algebra 2 (3) course. This course counts as a Math course for all diplomas. Out of class time required: 0 hours/week. M51260 Pre-Calculus/Trigonometry Honors/IB (DC/CE) 11 2 Cr., 2 Sem. Prerequisites : Algebra I; Geometry; Algebra II Pre-IB; Teacher Recommendation While this course is an Honors course, its content is similar to Pre-Calculus (2), but it is taught at a faster pace. The topics are also covered in greater depth and with a greater emphasis on proof, logic and calculus. Students are expected to work at a greater degree of rigor. More topics are covered and/or projects may be required, especially if they are IB candidates. Students are selected for the Honors course based upon their previous record, their interests, and teacher recommendations. This course receives the Honors extra point for GPA. This course counts as a Math course for all diplomas. Out-of-class time required: 4-5 hours/week *PNC DC/CE Option: MA and MA Credit Hours 4

5 M51240 Pre-Calculus/Trigonometry (2) IB (DC/CE) 11,12 2 Cr., 2 Sem. Prerequisites : Algebra I; Geometry; Algebra II Successful completion of Pre-Calculus prepares the student to take a beginning calculus course or other beginning college level mathematics course. The content includes function theory, solving equations, sequences, limits, trigonometry, probability, vectors, and a brief introduction to calculus. This course is NOT recommended for a student who has earned a grade lower than a C in Algebra II (2). This course counts as a Math course for all diplomas. Out of class time required: 3-4 hours/week. *PNC DC/CE Option: MA and MA Credit Hours M51740 Pre-Calculus/Trigonometry (3) Apex 12 2 Cr., 2 Sem. Prerequisite : Algebra I; Geometry; Algebra II; Teacher Recommendation This course provides the same curriculum as the traditional Pre-Calculus (3) course. The traditional Pre Calculus (3) course is taught in a traditional classroom. The Pre-Calculus (3) Apex course is taught through computer software stored on a departmental laptop cart. The Apex Learning software is the primary instructional tool used by the teacher. The students in the computer lab are able to learn at a pace that is unique to their specific needs. Students are able to receive significantly more individualized instruction from the teacher on a daily basis. Students who benefit from this type of instructional setting may prefer the Apex version of the Pre-Calculus (3) course. This course counts as a Math course for all diplomas. Out of class time required: 0 1 hours/week. (as needed to keep pace) M51120 AP Calculus AB Honors/IB-SL ( DC/CE) 12 2 Cr., 2 Sem. Prerequisite : Algebra I; Geometry; Algebra II; Pre-Calculus Topics to be covered will include, but are not limited to: limits and continuity, derivatives and their applications, curve sketching with relative minima and maxima, slopes of tangent lines, differential equations, integrals, and their applications (such as the fundamental theorem of calculus, area under a curve and volume of a solid). This college level course is taught in preparation for both the Advanced Placement exam and the International Baccalaureate exam. The AP Calculus AB course will cover the equivalent of one semester of college level calculus, where the AP Calculus BC course will cover two semesters of college level calculus. This course receives the extra Honors point for GPA. This course counts as a Math course for all diplomas. Out of class time required: 5 6 hours/week. *Approximately hours of summer work is required prior to entering this course senior year. PNC DC/CE Option: MA Credit Hours 5

6 M51130 AP Calculus BC Honors/IB-SL ( DC/CE) 12 2 Cr., 2 Sem. Prerequisite : Algebra I; Geometry; Algebra II; Pre-Calculus (1) Topics to be covered will include, but are not limited to: limits and continuity, derivatives and applications, curve sketching with relative maxima and minima, slopes of tangents, integrals and applications, plane analytic geometry, polar coordinates, infinite series convergence, and the Taylor Series. This college level course is for students who need calculus in order to complete their college studies successfully. This course receives the extra Honors point for GPA. This course counts as a Math course for all diplomas. Out of class time required: 5 6 hours/week. PNC DC/CE Option: MA and MA credit hours M51310 AP Statistics Honors/IB-SL 12 2 Cr., 2 Sem. Prerequisite : Algebra I; Geometry; Algebra II; Pre-Calculus AP Statistics is a course based on content established by the College Board. 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. Topics include: (1) exploring data: describing patterns and departures from patterns, (2) sampling and experimentation: planning and conducting a study, (3) anticipating patterns: exploring random phenomena using probability and simulation, and (4) statistical inference: estimating population parameters and testing hypotheses. The use of graphing calculators and computer software is required. This course receives the extra Honors point for GPA. This course counts as a Math course for all diplomas. Out-of-class time required: 4 5 hours/week. M53120 Probability and Statistics (Offered 1 st Semester Only) 12 1 Cr., 1 Sem. Prerequisite : Algebra II Students are encouraged to enroll in both Probability and Statistics and Trigonometry as a fourth year of mathematics. This would allow students to earn 8 credits in mathematics towards the academic honors diploma. Students are also encouraged to take a full year of math as a senior in high school as a way to prepare for post-secondary programs and respective placement tests. This course is specifically designed to serve students who have completed Algebra II but do not feel they are ready for the rigor of a Pre-Calculus course. Probability and Statistics includes the concepts and skills needed to apply statistical techniques in the decision-making process. Topics include: (1) descriptive statistics, (2) probability, and (3) statistical inference. Practical examples based on real experimental data are used throughout the course. Students plan and conduct experiments or surveys and analyze the resulting data. Students who participate in a variety of vocational programs would be well served by this set of courses. The Probability and Statistics course will only be offered in the fall semester. This course counts as a Math course for all diplomas. Out-of-class time required: 1 1½ hours/week. 6

7 M51330 Trigonometry (Offered 2 nd Semester Only) 12 1 Cr., 1 Sem. Prerequisite : Algebra II Students are encouraged to enroll in both Trigonometry and Probability and Statistics as a fourth year of mathematics. This would allow students to earn 8 credits in mathematics towards the academic honors diploma. Students are also encouraged to take a full year of math as a senior in high school as a way to prepare for post-secondary programs and respective placement tests. This course is specifically designed to serve students who have completed Algebra II but do not feel they are ready for the rigor of a Pre-Calculus course. Trigonometry provides students with the skills and understanding that are necessary for advanced manipulation of angles and measurement. Trigonometry provides the foundation for common periodic functions that are encountered in many disciplines, including music, engineering, medicine, and finance. Students will also advance their understanding of imaginary numbers through an investigation of complex numbers and polar coordinates. Students who participate in a variety of vocational programs would be well served by this set of courses. The Trigonometry course will only be offered in the spring semester. This course counts as a Math course for all diplomas. Out-of-class time required: 1 1½ hours/week. *Note: Students may not earn credit in both Pre-Calculus and Trigonometry as the overlap in the course content for the two classes is significant. CCR Bridge: MATH READY (Math RDY) 12 2 Cr., 2 Sem. Prerequisite: In grade 11, students who have not passed the Grade 10 Math ISTEP+ (or old Algebra 1 ECA) and have scored below a 45 on the PSAT test OR students who score below proficient on a diagnostic test. Math Ready will include and reinforce the Algebra 1, Geometry, and Algebra 2 and Statistics skills necessary to be ready for an entry-level college math course. This course emphasizes understanding of math concepts rather than just memorizing procedures. Math Ready students learn the context behind the procedure: why to use a certain formula or method to solve a problem, for example. This equips them with higher-order thinking skills in order to apply math skills, functions and concepts in different situations. The course is intended for students who currently have achieved the minimum math requirements for college entry. The content of this course is designed to enhance students math skills so that they are ready for college-level math assignments. It is not designed to prepare students for college-level math in STEM majors. This course counts as a Math course for all diplomas. Out-of class time required per week: 0-1 hour/week 7

Mathematics. Mathematics

Mathematics. Mathematics Mathematics Program Description Successful completion of this major will assure competence in mathematics through differential and integral calculus, providing an adequate background for employment in