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Mathematics

L. Aidt
laidt@beniciaunified.org    
B. Aragon
baragon@beniciaunified.org
   C. Guinon
cguinon@beniciaunified.org  
   C. Crichlow
ccrichlow@beniciaunified.org      
M. Manqueros
mmanqueros@beniciaunified.org
 C. Maselli
cmaselli@beniciaunified.org
 J. Pisano
jpisano@beniciaunified.org
 K. Rice
krice@beniciaunified.org
 J. Westerman
jwildasin@beniciaunified.org
 A. Soto
asoto@beniciaunified.org
   R. Curry
rcurry@beniciaunified.org    
C. Lane
clane@beniciaunified.org
  A. Tuiolosega
atuiolosega@beniciaunified.org  
       

Mathematics Department

Two years of mathematics are required for graduation.  Integrated Math 1 must be successfully completed to meet the Algebra portion of the graduation requirement. It is recommended that students take additional math classes.
Choose your course wisely.  The math department recommends that if necessary, schedule changes be done in the first three weeks of school.  Changes after six weeks will result in a “Withdrawal F.”
Alternative course work:  Students wishing to take alternative course work (Summer school, Independent Study, Credit Recovery, Community College, On-Line, etc.) should be aware that it may not meet the prerequisite for advancement.  We recommend you contact the math department chair before starting course work.  Four weeks (30) hours of summer school is equivalent to one semester of work.  Work done in summer school does not guarantee a change in the fall schedule nor the acceptance of the course work.

PRE-INTEGRATED MATH I

This is a full year Pre-Algebra course. It is intended to build a foundation to prepare students for Integrated Mathematics 1 and more advanced mathematics, and to bring under-performing students to grade level. Students in Pre-Integrated Math 1 will be concurrently enrolled in the companion course, Support for Pre-Integrated Math 1, which will support instruction of their core class through the use of manipulatives, concept development, skills practice and vocabulary building. Major topics to be covered: 1) Collecting and Interpreting Data, 2) Integer Operations, 3) Probability and Fractions, 4) Algebraic Sentences, 5) Solving and Graphing Equations, 6) Ratios and Proportions, 7) Fractions, Percents and Formulas, 8) Pythagorean Theorem, 9) Surface Area and Volume of  Solids, 10) Exponents, 11) Scientific Notation, 12) Algebraic Properties and 13) Constructions of Geometric Figures.

Grade: 9                               Year

INTEGRATED MATHEMATICS 1

Integrated Math 1 is the first of a three-course sequence including Integrated Math 1, 2, and 3.  This one year long course satisfies the Common Core Standards for Integrated Math 1.  It strengthens and builds on students’ previous knowledge in pre-algebra courses or Math Readiness courses. It focuses on the pattern growth of functions including linear and exponential functions, transformational geometry, coordinate geometry, solving equations and inequalities, descriptive statistics, geometric congruence, and geometric constructions. Good study habits and critical thinking skills are essential for success.  Successful completion of this course is required for high school graduation.

Grades: 9, 10, 11, 12         Year                       UC/CSU               

INTEGRATED MATH I, Support

Support for Integrated Math 1 is a full year course for the student who has been identified as needing support to be successful in the Integrated Mathematics 1 course.  Students in Support for Integrated Math 1 will be concurrently enrolled in Integrated Math 1. This course will support instruction of their core class through the use of manipulatives, concept development, skills practice and vocabulary building. Major topics to be covered: 1) Using models to analyze, interpret and create equations, 2) Explore and interpret functions, including sequences, in a variety of representations, 3)  Solving equations, inequalities and systems of equations, and interpret their solutions, 4) Use graphical representations of linear data and residuals to  analyze the goodness of fit, 5) Establish triangle congruence criteria based on rigid motions and formal constructions of triangles, quadrilaterals and polygons, and 6) Use the rectangular coordinate systems to verify geometric relationships, including properties of special triangles and quadrilaterals and slopes of parallel and perpendicular lines.

Grades: 9,10                       Year

RESOURCE MATH A/B                                                            

This course covers prerequisite skills for RESOURCE MATH C/D.  This class will be modified and accommodated to meet the individual needs of the students. This class is only available by recommendation of the student’s IEP team. This class does not meet the UC/CSU “a-g” requirements.

Grades: 9, 10                      Year

RESOURCE MATH C/D                                                            

Math C meets the first half of the high school Algebra 1 graduation requirement.  Math D meets the second half of the high school Algebra 1 graduation requirement. Placement in Math C or D is by recommendation of the Resource Math teachers. It does NOT meet the prerequisite for enrollment in college prep Geometry. This class will be modified and accommodated to meet the individual needs of the students. This class is only available by recommendation of the student’s IEP team. This class does not meet the UC/CSU “a-g” requirements.

Grades: 9, 10                      Year

MATH – CONSUMER/ PERSONAL/WORKPLACE FINANCE

This course is designed to help students learn about the mathematics behind daily financial decisions. Students will learn how to manage their bank accounts and figure their taxes. They will use an online program to discover interests and will choose a career they may wish to pursue and research that career. Using an Excel spreadsheet, students will create a budget. They will calculate their expected after tax income, then research and deduct their expected monthly expenses (rent, utilities, health care, groceries, car payments, insurance, etc.) They will learn about investing in commercial bank instruments like CDs as well as stocks, bonds and mutual funds. Students will be given a hypothetical $100,000 to invest as we play the Stock Market Game, which simulates real time investing and portfolio management. Students will learn about loans, including credit cards, car loans, and mortgages.

Grades: 10,11,12                                Year

INTEGRATED MATH 2

Prerequisite: C or better in Integrated Math 1 or Informal Geometry

Integrated Math 2 is the second of a three-course sequence including Integrated Math 1,2,3.  The one year long course satisfies the Common Core standards for Integrated Math 2. It focuses on Geometry topics of proof, similarity, right triangle trigonometry, quadrilaterals, polygons, circles, solids and conditional probability.  Topics from Algebra include quadratics, functions and probability.  Good study habits and critical thinking skills are essential for success.

Grades: 9,10,11,12            Year                       UC/CSU

ALGEBRA 2

Prerequisite: C or better in Geometry or Integrated Math 2

This is an advanced algebra course for college preparatory students.  A strong algebra background along with diligent work habits is necessary for success.  Use of technology to foster problem solving is introduced.  Graphing calculators are recommended.

Grades: 9,10,11,12            Year                       UC/CSU

ALGEBRA 2 & TRIGONOMETRY HONORS

Prerequisite: Completed Geometry or Integrated Math 2 with a 90% or above and a teacher recommendation based on strong skills, excellent work habits, and minimum score on placement exam (given in May prior to enrollment).  A portfolio of work may be examined and the candidate may be interviewed by a committee prior to enrollment.

This course is for the student passionate about mathematics.  He/she must be self-directed and have an innate desire to explore concepts that lead to a deeper understanding of mathematics.  This fast-paced course will not include review of prior math skills.  A summer review packet will be available to enhance skills to be tested during the first week of school and will account for 10% of the fall semester grade.  A graphing calculator is required

Grades: 9,10,11,12            Year                       UC/CSU

TRIGONOMETRY and STATISTICS

Prerequisite: Completion of Algebra 2 with a C or better

The study of trigonometric functions defined geometrically along with the ability to prove basic identities give students important background for calculus, physics, engineering and advanced math and science classes at the college level. Mastery of Statistics will provide students with a solid foundation in probability and in processing statistical information. A graphing calculator is recommended.

Grades: 10, 11, 12              Year                       UC/CSU

PRE-CALCULUS

Prerequisite: C or better in Algebra 2 and teacher recommendation

This course is for the serious math student who has an excellent algebra and geometry background.  This course is a preparation for calculus.  Continuing use of technology to foster problem solving is explored.  A graphing calculator is recommended.

Grades: 10, 11, 12              Year                       UC/CSU

PRE-CALCULUS HONORS

Prerequisite:  Teacher recommendation based on outstanding Algebra 2 skills, excellent work habits, and a minimum score on placement exam (given in May prior to enrollment).  A portfolio of work may be examined and the candidate interviewed by a committee prior to enrollment.

This college level course is for the student passionate about mathematics.  He/she must be self-directed and have an innate desire to explore concepts that lead to a deeper understanding of mathematics. This fast-paced course has a summer assignment (10% of the 1st semester grade) due on the first day of fall class.  The 2nd semester will cover Calculus content (and the student may choose to take the AP Calc A/B exam) and prepare the student for AP Calculus B/C in their senior year.

Grades: 10, 11, 12              Year                       UC/CSU

AP STATISTICS

Prerequisite: Successful completion of Algebra 2 with a 74% (C) or better. 

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.
Students are exposed to four broad conceptual themes:

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
4 . Statistical Inference: Estimating population parameters and testing hypotheses. Students who successfully complete the course and exam may receive credit, advanced placement or both for a one-semester introductory college statistics course.

Grades: 11, 12                     Year                       UC/CSU

AP CALCULUS A/B

Prerequisite: Teacher recommendation based on outstanding Pre-Calculus skills, excellent work habits

This is a college Calculus course designed to prepare students to take the national AP Calculus A/B exam in May, where college credits may be earned for qualifying scores. A summer assignment (10% of the 1st semester grade) is due on the first day of fall class. Summer project required.

Grades: 11, 12                     Year                       UC/CSU

AP CALCULUS B/C

Prerequisite:  C or better in AP Calculus A/B or Pre-Calculus Honors

This college course is designed to cover all the topics on the Advanced Placement Calculus B/C exam, where students have the chance to earn up to one semester of college credit in Calculus.  A graphing calculator is required.  Students in this honors level course earn extra grade points for the UC system. Summer project required.

Grade: 12                             Year                       UC/CSU