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Math<br />
to spend an average of 75 minutes per day on homework/<br />
studying, although this varies among students. This course<br />
may not be repeated for credit.<br />
HONORS MULTIVARIABLE CALCULUS & DIFFERENTIAL<br />
EQUATIONS (L2740)<br />
10 credits per year, Grades 11, 12<br />
This course meets the CSU and UC ‘c’ mathematics college<br />
entrance requirement.<br />
Prerequisites: Successful completion of Calculus BC, ideally<br />
with a grade of B or better. This course is encouraged for<br />
students who complete BC before their senior year, enjoy<br />
learning advanced mathematics and/or anticipate taking<br />
this level of math for their field of interest in college (e.g.,<br />
engineering, computer science, mathematics, applied sciences).<br />
Please read the full syllabus for Multi-Variable Calculus<br />
and Differential Equations (MVDE) on the JLHS website.<br />
Multi-Variable Calculus and Differential Equations (MVDE) is<br />
an elective course that introduces students to advanced<br />
mathematical concepts that follow a first year college calculus<br />
course. Consequently, students must have successfully<br />
completed Calculus BC, ideally with a grade of B or better, in<br />
order to enroll in MVDE. This course is encouraged for students<br />
who complete BC before their senior year, enjoy<br />
learning advanced mathematics and/or anticipate taking<br />
this level of math for their field of interest in college (e.g.,<br />
engineering, computer science, mathematics, applied sciences).<br />
All students are strongly encouraged to complete a<br />
summer assignment that reviews key concepts essential to<br />
success in MVDE. Students should expect to spend an average<br />
of 75 minutes per day on homework/studying, although<br />
this varies among students. This course may not be repeated<br />
for credit.<br />
Statistics<br />
TRIGONOMETRY & STATISTICS (L2500)<br />
10 credits, One Year, Grades 10, 11, 12<br />
This course meets the CSU and UC ‘c’ mathematics college<br />
entrance requirement.<br />
Prerequisite: Completion of Algebra 2. Please read the<br />
outline for Trig-Stat on the JLHS website.<br />
Trigonometry & Statistics (Trig-Stat) is a course anchored<br />
through Common Core guidelines, this new course will give<br />
students an opportunity to gain greater mastery and depth<br />
in two important areas of mathematics, both of which are<br />
also topics of the new standardized test (SBAC). Trig-Stat<br />
can be an excellent course to follow Algebra 2. It provides<br />
the opportunity for students who have passed both semesters<br />
of Algebra 2 to gain greater mastery of algebra skills<br />
from their year with Algebra 2. Because the non-honors<br />
Algebra 2 course will cover about 20% less than the Honors<br />
Algebra 2 course, the new Trig-Stat course provides the<br />
depth of information to complete the important topics in<br />
Statistics and Trigonometry. Depending on the pathway that<br />
students follow, Trig-Stat could be taken in the 10th, 11th,<br />
or 12th grade. Our advice would be that this course likely<br />
fits best after Algebra 2 (different from Honors Algebra 2).<br />
The course will cover the most important topics of Trigonometry<br />
and will provide students ample time to master<br />
trigonometric identities and apply trigonometry to real<br />
world problems. In Statistics --- a topic used in all social sciences<br />
as well as math related fields --- students will be able<br />
to use laws of probability and, importantly, the concept of<br />
fitting graphs to data. In both areas (Trigonometry and Statistics),<br />
students will find how useful both trig/stat are in the<br />
real world. Again, these two areas are not only related to<br />
math and engineering. There is a wide variety of applications<br />
that will be examined and studied. The course will use<br />
both Chrome-books and textbooks. While there are online<br />
graphing calculators, there will also be an opportunity for<br />
teachers and students to use hand-held graphing calculators<br />
as well. Those hand-held calculators will be supplied to the<br />
teacher, who will have a class set. Students do not need to<br />
own a graphing calculator.<br />
Much of the work will be done in collaboration with other<br />
students, often in class. Students may have some work to<br />
complete for homework. The classroom will be the principal<br />
workspace for the course. There will be lots of discovery<br />
and practice in the classroom with the assistance and guidance<br />
of the teacher. While study at home is often invaluable<br />
for learning, the amount of time needed will vary among<br />
students. Working together in class, with defined roles in<br />
groups, will be an important part of grading.<br />
In closing, this course could be a significant assistance as<br />
students prepare for placement at community college, college,<br />
or university level work. It is also a course designed to<br />
help students who may pursue a variety of Liberal Arts<br />
Majors. Statistics, for example, is used in many fields other<br />
than those that are specifically related to mathematics or<br />
engineering. This course may not be repeated for credit.<br />
ADVANCED PLACEMENT (AP) STATISTICS (L2730)<br />
10 credits, One Year, Grades 11&12<br />
This course meets the CSU and UC ‘c’ mathematics college<br />
entrance requirement.<br />
Prerequisite: For the AP Statistics class, teachers recommend<br />
that students earned at least a C- in both semesters<br />
of Algebra 2. Please read the full syllabus for AP Statistics on<br />
the JLHS website.<br />
AP Statistics is an Advance Placement math elective. While<br />
successful completion of Algebra 2 is the only pre-requisite,<br />
the course requires a solid background in mathematical<br />
skills and a strong level of motivation. Exposure in Pre-<br />
Calculus class creates an even stronger background for students.<br />
Some of the skills that are important include an understanding<br />
of functions and graphs, sets of numbers, working<br />
on multi-step problems, understanding the counting<br />
principle, basic probability, the ability to explain the process<br />
of solving problems, and knowledge of a graphing calculator.<br />
While there are graphing calculators online, students<br />
will have access to hand-held graphing calculators in class.<br />
Learning their use would be very helpful to a student for<br />
future math work in the UC system. Students do not need to<br />
purchase a hand-held graphing calculator. Students will<br />
often work in groups and make presentations of their work.<br />
There is also a final projects that combines all elements of<br />
the course. Students are encouraged to take the AP Statistics<br />
Exam administered by the College Board in May. This<br />
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