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Math Department

Baker, Christina Teacher
Blanton, Carrie (650) 712-7200 ex.4710 Teacher
De Santis, Sara (650) 712-7200 ex.4705 Teacher
Hees, Gerhardt Teacher
Jones, David (650) 712-7200 ex.4709 Teacher
Kim, Jake (650) 712-7200 ex.4709 Teacher
Tower, Deanna (650) 712-7200 ex.4704 Teacher
Treanor, Amy (650) 712-7200 ex.4711 Teacher

Parents and students should understand the purpose of each offering in mathematics and choose a course according to ability, needs, and future plans. To best place students for their success, the following will be utilized to determine proper placement(s):

  • Teacher recommendation
  • Qualifying score on Placement Test
  • Grade from previous course based on 1st Semester grades.

Students will repeat a course if prerequisites are not fulfilled for the next course in sequence. Students off- track for graduation may be advanced to the next course. All incoming or transfer students will be required to take the placement test.

To obtain maximum benefits from the high school program, the current math teacher, in conjunction with the high school counselor, will help parents and students interpret test scores and will recommend proper placement of students.


Please refer to the following chart for the HMBHS Mathematics Curricular Pathways. Referring to this chart will be helpful in integrating math courses and requirements into your four-year plan.

 

Freshmen

Sophomores

Juniors

Seniors

1

Algebra 1

(Advanced)
Geometry

(Advanced)
Algebra  II

(Advanced) Pre-calculus

2

(Advanced) Geometry

(Advanced) Algebra II

(Advanced) Pre-calculus

AP Calculus
AB and/or
AP Statistics

3

(Advanced) Algebra II
(Geometry completed
in 8th grade)

(Advanced) Pre-calculus

AP Calculus
AB and/or
AP Statistics

AP Calculus BC and/or AP Statistics

4

Algebra
Readiness

Algebra 1
Enhanced

Geometry
Enhanced

Algebra 1 (recommended) OR Algebra 2

 

Half Moon Bay High School’s current graduation requirement is three years of mathematics; however, we recommend taking four years of math.

Courses

Algebra Readiness     (0310)

  • Year long course – 10 credits
  • Grades eligible: 9
  • Prerequisites:
    • Qualifying score on Placement Test
    • Teacher recommendation
  • Graduation requirement: Math
  • UC/CSU A-G requirement: None

This year-long course is designed to prepare students for their first year of Algebra. Areas of emphasis will include a review of the fundamental operations of arithmetic and basic concepts of rational numbers in both fractional and decimal form. In addition, students will learn to solve first-degree equations, perform operations on polynomials, graph first-degree equations, and apply these skills to problem solving.

 

Algebra I     (0320)

  • Year long course – 10 credits
  • Grades eligible: 9, 10, 11
  • Prerequisites:
    • Current math teacher approval
    • ‘C-’ or higher in Algebra Readiness
    • Qualifying score on Placement Test
  • Graduation requirement: Math
  • UC/CSU A-G requirement: ‘C’ (Mathematics)

This course emphasizes algebraic language, structure, concepts and skills. Major topics include algebraic properties and the real number system, functions and their graphs, linear equations and inequalities, systems of linear equations and inequalities, polynomials and factoring, quadratic functions, and rational expressions and equations.

 

Algebra I Enhanced    (0321)

  • Year long course – 10 credits
  • Grades eligible: 9, 10, 11
  • Prerequisites:
    • Current math teacher approval
    • ‘C-’ or higher in Algebra Readiness
    • Qualifying score on Placement Test
  • Graduation requirement: Math
  • UC/CSU A-G requirement: ‘C’ (Mathematics)

Algebra 1 Enhanced is intended to build a foundation for future math classes. This course will study algebraic expressions, integers, and mathematical properties that will lead into working with variables and linear equations. Students will also study graphing, polynomials, quadratic equations, systems of equations and data analysis. This year-long course is designed to incorporate extra support for ELL and students with special needs in mathematics.

 

Geometry     (0330)

  • Year long course – 10 credits
  • Grades eligible: 9, 10, 11, 12
  • Prerequisites:
    • Current math teacher approval
    • ‘C-’ or higher in Algebra I
    • Qualifying score on Placement Test
  • Graduation requirement: Math
  • UC/CSU A-G requirement: ‘C’ (Mathematics)

This is a primary course in plane Euclidian geometry. The purpose is to develop geometric skills and concepts and the ability to construct formal logical arguments and proofs in a geometric setting. Topics include reasoning and proof, perpendicular and parallel lines, congruent and similar triangles, properties of quadrilaterals, area of polygons and circles, volume and surface area of space figures, transformations, right triangles and trigonometry. Time will be spent showing the connections between algebra and geometry. The students will work with constructions and geometrical software to help them develop geometric intuition.

 

Geometry Enhanced     _   (0331)

  • Year long course – 10 credits
  • Grades eligible: 10, 11, 12
  • Prerequisites:
    • Current math teacher approval
    • ‘C-’ or higher in Algebra I Enhanced
    • Qualifying score on Placement Test
  • Graduation requirement: Math
  • UC/CSU A-G requirement: ‘C’ (Mathematics)

Geometry 1 Enhanced is a course that studies a variety of topics using shapes with problems, basic proofs, and basic constructions. Students will enhance their Algebra skills by using 2-dimensional and 3-dimensional geometric figures and appropriate formulas. Also, students will study basic trigonometry. This year-long course is designed to incorporate extra support for ELL and students with special needs in mathematics. After the completion of this course, students are encouraged to take Algebra 1, then Algebra 2.

 

Advanced Geometry     (0335)

  • Year long course – 10 credits
  • Grades eligible: 8, 9, 10
  • Prerequisites:
    • Current math teacher approval
    • Departmental approval
    • ‘A-’ or higher in Algebra I
  • Graduation requirement: Math
  • UC/CSU A-G requirement: ‘C’ (Mathematics)

Students develop logical reasoning skills and creative problem solving skills while discovering the fundamental concepts of Euclidean Geometry using technology and hands-on investigation. In addition to the topics listed in Geometry (0330), students will explore tessellations and non-Euclidean geometry.

 

Algebra II     (0340)

  • Year long course – 10 credits
  • Grades eligible: 10, 11, 12
  • Prerequisites:
    • Current math teacher approval
    • ‘C-’ or higher in Geometry
    • Qualifying score on Placement Test
  • Graduation requirement: Math
  • UC/CSU A-G requirement: ‘C’ (Mathematics)

This course expands on the mathematical content of Algebra I and Geometry. Many new concepts and techniques are introduced that will be basic to more advanced math courses. Topics include: absolute value, complex numbers, quadratic, polynomial and rational expressions and functions, exponential and logarithmic functions, arithmetic and geometric sequences and series, and probability and statistics. A TI-83/84 plus graphing calculator will be used in the class.

 

Advanced Algebra II     (0345)

  • Year long course – 10 credits
  • Grades eligible: 9, 10, 11, 12
  • Prerequisites:
    • Current math teacher approval
    • ‘A-’ or higher in Geometry both semesters
    • ‘C-’ or higher in Advanced Geometry
  • Graduation requirement: Math
  • UC/CSU A-G requirement: ‘C’ (Mathematics)

This course continues the students’ study of advanced algebraic concepts including functions, polynomials, rational expressions, systems of functions and inequalities, matrices. Major topics include absolute value, complex numbers, quadratic expressions and functions, arithmetic and geometric series and sequences, and probability and statistics. Students will also be introduced to conic sections and various trigonometry topics including the unit circle. Students will be expected to describe and translate among graphic, algebraic, numeric, tabular, and verbal representations of relations and use those representations to solve problems. Emphasis is placed on practical applications and modeling. Appropriate technology, from graphing calculators to application software, will be used regularly for instruction and assessment. A TI-83/84 plus graphing calculator will be used in the class.

 

Pre-Calculus     (0359)

  • Year long course – 10 credits
  • Grades eligible: 10, 11, 12
  • Prerequisites:
    • Current math teacher approval
    • ‘C’ or higher in Algebra II
  • Graduation requirement: Math
  • UC/CSU A-G requirement: ‘C’ (Mathematics)

This course prepares students for further study in mathematics and science. The students will develop a better understanding of mathematics as well as a solid foundation for calculus. The emphasis of this course is on the development and understanding of functions, trigonometry, parametric equations, polar coordinates, matrices, sequences and series, binomial theorem, mathematical induction and statistics.

 

Advanced Pre-Calculus     (0363)

  • Year long course – 10 credits
  • Grades eligible: 10, 11, 12
  • Prerequisites:
    • Current math teacher approval
    • ‘C-’ or higher in Advanced Algebra II
    • ‘A-’ or higher in Algebra II both semesters
  • Graduation requirement: Math
  • UC/CSU A-G requirement: ‘C’ (Mathematics)

Advanced Pre-Calculus is a course that prepares students for further study in mathematics and science. The students will develop a better understanding of mathematics as well as a solid foundation for calculus. The emphasis of this course is on the development and understanding of functions, trigonometry, parametric equations, polar coordinates, matrices, sequences and series, binomial theorem, mathematical induction, and statistics. A TI 83/84 plus graphing calculator will be used in the class.

 

AP Statistics     (0362)

  • Year long course – 10 credits
  • Grades eligible:  10, 11, 12
  • Prerequisites:
    • Current math teacher approval
    • ‘C’- or higher in Pre-calculus
  • Graduation requirement: Math
  • UC/CSU A-G requirement: ‘C’ (Mathematics)

Advanced Placement Statistics is a one year course that introduces 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. This course covers the material usually found in an introductory college level statistics course. At the end of the courses students are highly encouraged to take the Advanced Placement exam in statistics.

 

AP Calculus AB     (0360)

  • Year long course – 10 credits
  • Grades eligible:  11, 12
  • Prerequisites:
    • Current math teacher approval
    • ‘C- or higher in Pre-Calculus
  • Graduation requirement: Math
  • UC/CSU A-G requirement: ‘C’ (Mathematics)

AP Calculus parallels a college level course and includes the following topics: (1) elementary functions, limits, and continuity; (2) differentiation of algebraic and transcendental functions; (3) applications to motion, natural growth, graphing, extreme, and related rates; (4) the definite integral, fundamental theorem of calculus and techniques of integration; (5) applications to area, volume, and arc length; and (6) sequences, series, and elementary differential equations. College credit is available upon passing scores on the advanced placement test.

 

AP Calculus BC     (0364)

  • Year long course – 10 credits
  • Grades eligible:  12
  • Prerequisites:
    • Current math teacher approval
    • Completion of AP Calculus AB
    • Score of 4 or 5 on the AP Calculus AB exam
  • Graduation requirement: Math
  • UC/CSU A-G requirement ‘C’ (Mathematics)

AP Calculus BC will continue to explore concepts involving limits and continuity, derivatives, application of the derivative, integration and anti-differentiation. New topics that will be explored will be different techniques of anti-differentiation and applications of the definite integral. The course will explore infinite series defined as the limit of a sequence of partial sums, tests for convergence and Power series. Each topic will be presented numerically, geometrically, symbolically and verbally as students learn to communicate the connections among these representations. A TI-83/84 graphing calculator will be used in this course.

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Updated 2017-18 Planning Guide