Welcome to Don Lugo's Mathematics Department

Math Department Announcements

  • If you are interested in taking AP Math courses:

    • AP Calculus AB
    • AP Calculus BC
    • AP Statistics

    Please speak to a math teacher and your counselor. Learn about all the benefits of AP courses.

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Math Department Student Highlights

  • The Math Department teachers are committed to help all students succeed.  The extra help schedule for 2019-2020 1st semester is as follows:

    Mr. Abel              TBD

    Ms. Campbell     2:17-3:15 after school most (non-meeting) days

    Dr. Collins            6:45am before school, at lunch and 2:30-3:15pm after school (most days).

    Ms. Cortes          TBD

    Mr. Grebel          TBD

    Ms. Heisey          Mon thru Thurs 6:45-7:15am before school.

    Ms. Houska         Tues and Thurs 2:30-3:30

    Ms. K.                    Mon thru Thurs 7:00-7:20am before school and Mon,Wed,Thurs 2:30-3:30 after school

    Ms. Morgan        TBD

    Ms. Ocalir            Mon thru Fri 2:30-3:00pm after school

    Mr. Robinson     Mon, Tues, Thurs 2:20-3:30pm after school and lunch on Wednesday.

    Mr. Vargas          TBD

    *TBD:  Please ask teacher for extra help schedule.

    Courses

    Integrated Math 1

    Integrated Math I is the first course of a three course sequence including Integrated Math I, Integrated Math II, and Integrated Math III.  This course satisfies the California Common Core Standards for Integrated Math I and is intended for all ninth graders.  Integrated Math I builds and strengthens students’ conceptual knowledge of functions, linear functions, equations, inequalities, sequences, basic exponential functions, systems of linear equations, systems of linear inequalities, one variable descriptive statistics, correlation and residuals, analyzing categorical data, mathematical modeling, and both coordinate and transformational geometries. 

    Integrated Math 2

    Integrated Math 2 is the second course of a three course sequence including Integrated Math 1, Integrated Math 2, and Integrated Math 3. This course satisfies the California Common Core Standards for Integrated Math 2. For the Integrated Math 2 course, students continue to develop algebra and geometry skills through engaging and real life applications.  Students will build off of the standards they mastered in Integrated Math 1 building on geometry and algebra skills.  Students will demonstrate abilities to reason logically and to understand and apply mathematical processes and concepts using algebraic operations, geometry topics with spatial sense, data analysis, and probability.

    Integrated Math 2 Honors

    Integrated Math 2 Honor is the second course of a three course sequence including Integrated Math 1, Integrated Math 2, and Integrated Math 3. This course satisfies the California Common Core Standards for Integrated Math 2 Honors. For the Integrated Math 2 Honors course, students continue to develop algebra and geometry skills through engaging and real life applications.  Students will build off of the standards they mastered in Integrated Math 1 building on geometry and algebra skills.  Students will demonstrate abilities to reason logically and to understand and apply mathematical processes and concepts using algebraic operations, geometry topics with spatial sense, data analysis and probability.  The honors series is designed to help students reach the AP Calculus courses. 

    Integrated Math 3

    Integrated Math 3 is the third course of a three course series which includes all of the common core state standards. It builds and strengthens students' conceptual knowledge of tools of geometry, similarity through transformations, symmetry, congruence through transformations, trigonometry, quadratic functions, polynomials and quadratics functions, and their inverses.  Integrated Math 3 also includes linear relations and functions, systems of equations, polynomials and their functions, radical functions and relations, exponential and logarithmic functions, and a continued study of statistics. 

    Integrated Math 3 Honors

    Integrated Mathematics 3 Honors is the third course in a three course series which includes all of the Common Core State Standards from Integrated Mathematics 2 Honors. It builds and strengthens students' conceptual knowledge of tools of geometry, similarity through transformations, symmetry, congruence through transformations and trigonometry.  Integrated Mathematics 3 Honors also includes linear relations and functions, quadratic functions, systems of equations, polynomial functions, inverse functions, radical functions and relations, exponential and logarithmic functions, and a continued study of statistics. 

    Trig/Pre-Calculus

    Trigonometry combines many of the algebraic, geometric, and trigonometric techniques needed to prepare students for the study of calculus and strengthens their understanding of problems and mathematical reasoning in solving problems. This course takes a functional approach towards those topics. Students learn the techniques of matrix manipulation so they can solve systems of linear equations in any number of variables. The trigonometry functions studied are defined geometrically, rather than in terms of algebraic equations. Students must understand the concepts of trigonometric functions and have the ability to prove basic trigonometric identities.  This course incorporates a combination of the California State Content Standards in Mathematical Analysis, Linear Algebra, Trigonometry, and Probability and Statistics. 

    Probability and Statistics

    The curriculum for this course is designed to acquaint the student with the basic ideas and language of statistics including such topics as: descriptive statistics, correlation and regression, basic experimental design, elementary probability, binomial and normal distributions, and estimation and test of hypotheses.  Mastery of this academic content will provide students with a solid foundation in probability and facility in processing statistical information.

    Mathematical Reasoning with Connections (MRWC)

    Mathematical Reasoning with Connections (MRWC) is designed as a fourth-year, advanced mathematics course following Integrated Math I - 3 sequence of courses. The MRWC course is designed to prepare students for collegelevel mathematics including pre-calculus, calculus, and other quantitative reasoning courses; the course satisfies the “c” Advanced Mathematics requirement for UC “a-g” criteria.

    Based on the Common Core State Standards, MRWC is structured to highlight conceptual connections in the more advanced study of topics leading to calculus. Emphasis is given to conceptual understanding and making connections between numerical, symbolic, verbal, and graphical representations, discussion and analysis of alternative representations and multiple perspectives for approaching and understanding. The distinctiveness of MRWC lies in its unique design and topic sequencing, and in the emphasis on instructional delivery that promotes exploratory and collaborative student engagement. MRWC seamlessly interweaves the CCSS Mathematical Practices throughout the curriculum and develops key Habits of Mind and a mathematical disposition required for mastering advanced, challenging college-level content knowledge. 

    Integrated Mathematics 1 with Computing and Robotics

    Integrated Mathematics 1 with Computing and Robotics prepares students for both college and career by integrating computing and robotics technologies with mathematics instruction. The course guides students through topics in Integrated Mathematics 1 in Common Core State Standards for Mathematics while simultaneously teaching students programming and computational thinking. The course is aligned with Career Technical Education (CTE) standards in the Information and Communications Technology (ICT) industry sector. 

    AP Calculus AB

    Calculus AB will cover topics in differential and integral calculus. This course in mathematics consists of a full and intensive academic year of work in the calculus of functions of a single variable. The courses emphasize a multi-representational approach to calculus, with concepts, results, and problems being expressed graphically, numerically, analytically, and verbally. The connections among these representations also are important. Technology should be used regularly by students and teachers to reinforce the relationships among the multiple representations of functions, to confirm written work, to implement experimentation, and to assist in interpreting results. Through the use of the unifying themes of derivatives, integrals, limits, approximation, and applications and modeling, the course becomes a cohesive whole rather than a collection of unrelated topics. These themes are developed using all the functions listed in the prerequisites. 

    AP Calculus BC

    Calculus BC will cover topics in differential and integral calculus. This course in mathematics consists of a full and intensive academic year of work in the calculus of functions of a single variable.  The courses emphasize a multirepresentational approach to calculus, with concepts, results, and problems being expressed graphically, numerically, analytically, and verbally. The connections among these representations also are important.  Technology should be used regularly by students and teachers to reinforce the relationships among the multiple representations of functions, to confirm written work, to implement experimentation, and to assist in interpreting results.  Through the use of the unifying themes of derivatives, integrals, limits, approximation, and applications and modeling, the course becomes a cohesive whole rather than a collection of unrelated topics. These themes are developed using all the functions listed in the prerequisites.

    AP Statistics

    Statistics Advanced Placement (AP) is the science of collecting and analyzing data and turning data into information.  The curriculum of this statistics course includes data analysis and statistical inference.  The topics involved in data analysis include basic descriptive statistics (mean, median, mode, range, standard deviation, and percentiles), interpretation of data given in graphs and tables, elementary probability, the ability to synthesize information, to select appropriate data for answering a question, and to determine whether or not the data provided are sufficient to answer a given question. This course of study has been prepared in conjunction with the California State Frameworks for Mathematics, the National Council for Teachers of Mathematical Standards for Curriculum and Evaluation, and the Advanced Placement course Description Guide for Statistics published by the College Board.