Department Head: Carole Turner

The Mathematics Department offers courses from the intervention level through Advanced Placement levels. All courses cover the state standards relevant to that course and many cover additional enrichment topics, especially the honors classes. Honors courses are offered in Algebra, Geometry, Advanced Algebra and Precalculus. Students also have opportunities to participate in contests throughout the school year and the Math Club meets weekly during lunch.

## Course Sequence

## Math Honors and Advanced Placement Course Information

### Placement testing

With the exception of Advanced Placement Statistics, students who wish to enroll in an Honors math class or the Advanced Placement Calculus course must take and pass a placement test as part of the process for enrolling in the course. These tests are usually given fairly early in the spring semester.

Notices appear in the bulletin and announcements are made in mathematics classes about these tests. The tests are given after school. There is usually one afternoon set aside for each subject (A different day for each subject) and then there are usually one or two additional days for make-ups. Students must sign up in advance so that sufficient materials will be provided on the test day and so that it can be verified that the student qualifies to apply to take a particular honors mathematics class. Students may also take the placement exam as they return from school if and only if they have taken a required course in Summer.

### Additional Grade Point Information

The policy for the UC/CSU system is to give additional grade points only for one honors course, which must be above the Advanced Algebra level. At Lincoln, the only math honors course that is given an additional grade point is Precalculus Honors 1 and 2.

The UC/CSU system gives all Advanced Placement courses extra grade points. The Advanced Placement math courses that are given an additional grade point are Advanced Placement Calculus (AB and BC), Advanced Placement Statistics, and when there are sufficient students interested in the course, Advanced Placement Computer Science (A and AB).

## Math Department Course Offerings

**Problem Solving **
Students are placed in this class based on recommendation from testing in middle schools and the California Standards Test results. The first semester of this course, which is called Problem Solving, covers review of decimals, fractions, and percents along with introductory algebra topics such as solving linear equations. There are many topics on the California High School Exit Exam for Mathematics included in this course. Students go from this course to Math Explorations in the second semester.

### Math Explorations

This is the first semester of a three semester course. At the completion of three semesters in this sequence, students will have equivalent of one year of Algebra to count toward fulfilling part of the requirement for entering the UC/CSU system.

The pace is slower than a regular Algebra class and has more review of skills. Students are placed in this class based on middle school classes and grades and scores on the math placement test given in spring for incoming ninth grade students.

The second and third semester of this sequence are called Algebra 1 and Algebra 2, but students continue at the slower pace and continue to have review of skills required for the exit exam. Students learn some of the skills needed to pass the California High School Exit Exam and about a third of the first year Algebra course in the first semester.

### Algebra 1-2

Students complete one year of college preparatory Algebra in this two semester sequence. Incoming ninth graders are placed in this class based on scores on the placement exam and record from middle school.

This course covers the twenty-five standards listed for the course in the California Mathematics Framework. Topics include solving linear and quadratic equations, solving systems of equations, rational equations, simplifying radicals, graphing linear and quadratic equations, solving word problems, simple absolute value problems, using exponents, factoring second and third degree polynomials, and basic operations on monomials and polynomials.

### Algebra 1 and 2 Honors

Incoming ninth grade students are placed in this class based on middle school classes and grades and the placement test results. For the 2007-2008 school year, students placed in the honors class are students who took a course covering most of the first year algebra topics in eighth grade, but need to add to their skills in algebra. Students will also study geometry throughout the year.

**Geometry 1 and 2**

Students may take this class if they have successfully completed Algebra 1 and 2. The course covers all of the California State Standards for Geometry. Topics include proofs, congruence, similarity, properties of parallel lines cut by a transversal, polygons, circles, perimeter, area, volume, three dimensional figures, special triangles and polygons such as squares, Pythagorean theorem, basic constructions, coordinate geometry, basic right triangle trigonometry, and transformations.

### Geometry 1 and 2 Honors

Students take a placement test to enroll in the course. Students must meet the same prerequities as for regular Geometry, but must also have a grade of A in regular Algebra or a grade of A and B in Algebra Honors along with a teacher recommendation.

Topics covered in this class are all o
f those in the regular Geometry class and in addition enrichment topics are added along with a greater depth of coverage of the topics than in the regular Geometry class.

**Algebra 2/Finite 1 and 2**

This is a one year course which satisfies University of California requirements for the third year of mathematics. This course is desgined for students who are planning to major in liberal arts in college. This course covers many of the same standards as the Advanced Algebra course, but with a different emphasis. Some of the topics needed to advance to Precalculus are not included in this course. Students in this course may takie Probability and Statistics the following year.

### Advanced Algebra 1 and 2

Algebra 1 and 2 (first year Algebra) and Geometry 1 and 2 successfully (all four semesters with grades of C or higher) in order to enroll in this course. Some students may take Geometry 1 and 2 concurrently with this course, but need to pass the test to qualify and must have teacher recommendation to do so. This year (2008-2009) some ninth grade students have been placed in Advanced Algebra based on their placement test results on an algebra test. Those ninth grade students will take geometry in the sophomore year.

Topics included in this course cover all of the state standards. The topics include solving equations and inequalities using absolute value, solving systems of equations in a variety of methods, performing operations on polynomials, complex numbers,, rational expressions, graphs of quadratic functions, logarithms, exponential functions, conic sections, combinations and permutations, probability involving combinations and permutations, binomial theorem, arithmetic and geometric series, inverse functions, and composition of functions.

### Advanced Algebra 1 and 2 Honors

This has the same course prerequisites as regular Advanced Algebra, but students must pass the placement test and have teacher recommendation. The grades in Algebra and scores on the CST in Algebra are considered. Topics in the course are the same as those above, but topics are covered in greater depth and at a faster pace. Enrichment topics are also added.

### Statistics and Probability 1 and 2

This is an introductory high school level course to statistics and probability. Students taking this course should have completed at least through Geometry and Advanced Algebra is highly recommended since topics covered in that course are often used in this course.

This course covers all of the standards listed in the California Framework, but covers many other topics in addition to those listed in the Framework. The course tends to have a hands-on approach so that students can generate their own data in many situations. Topics include linear regression, analysis of one variable data, introductory inference, and probability. Teachers often use a variety of sources for the class, including websites for additional enrichment.

### Trigonometry 1 and 2

Trigonometry is the studies of triangles. Prerequisites for this course are Algebra, Geometry, and Advanced Algebra. Success in this course is very dependent on students having a thorough knowledge of second year algebra and geometry since oth are used and built on throughout the course. A diagnostic test is given to determine if placement in this course is appropriate.

This course covers all of the topics from Precalculus 1 including trig functions, trig identities, etc. After completed this course, the student has three pathways: Precalculus 1 and 2, Probability and Statistics 1 and 2, or Advanced Placement Statistics.

### Pre-Calculus 1 and 2

Prerequisites for this course are Algebra, Geometry, and Advanced Algebra. Success in this course is very dependent on students having a thorough knowledge of second year algebra and geometry since both are used and built on throughout the course. Students must have teacher recommendation to take this course and scores on CST math subjects are considered. A diagnostic test is given to determine if placement in this course is appropriate.

This course covers all of the traditional trigonometry topics as well as many analytic geometry topics. The standards listed under Trigonometry and Mathematical Analysis in the California Mathematics Framework are addressed in this course as well as almost all the topics in the Linear Algebra listing in the Framework.

### Advanced Placement Statistics 1 and 2

This course is the College Board Advanced Placement Statistics course and includes all of the topics listed on the College Board website. The course has four main components: exploratory analysis, probability, experimental design, and inference. Students enrolling in this course must have fairly high reading and writing ability and must have successfully completed through Advanced Algebra (An A or B in that course is recommended). Teacher recommendation and parent approval is required to be eligible to take this course.

### Advanced Placement Calculus 1 and 2

Students must complete Precalculus successfully to enroll in this course. Students must also pass a placement test and have teacher recommendation to enroll. This course is very similar to the UC Berkeley course and assumes students have had some background in Analytic Geometry in addition to Trigonometry before entering this course.

The course covers all of the topics in the College Board syllabus for this course as well as a few additional topics. Students taking this course must take the Advanced Placement exam in May of the year they take the course. Students who pass the Advanced Placement exam are then eligible for college credit at many universities.