Mathematics Department

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math pathway

Mathematics Course Offerings

Click on the name of the course to go directly to its description.

F/S = Semester Course (+) = Honors Point (*) = Possible Course

 

 
 
 

Math Foundations

Term: Yearlong  

This course is designed to support students through Math I. The course is intended to be concurrently enrolled with Math I by reviewing and supplementing critical Math I standards. 

Skills and Assessment:  Students will be able to…

  • Make sense of problems and persevere in solving them – in individual work as well as collaborative work.
  • Connect concepts to the real world by modeling with mathematics. 
  • Show that they can reason abstractly and quantitatively by explaining and justifying the processes they use in solving problems.
  • Communicate mathematical understanding and problem solving through the use of multiple representations such as diagrams, models, tables, graphs and symbols. 
  • Develop and extend strategies to transition from knowledge of concepts and skills to theoretical reasoning and application of concepts. 
  • Demonstrate mastery of concepts and skills through various assessments in the form of homework, quizzes and tests.
  • Use appropriate technology to enhance learning and understanding.

Prerequisite: Teacher or counselor recommendation.


Math Lab

Term: Yearlong  

This course is designed to support students through Math II and Math III. The course is intended to be concurrently enrolled with Math II and Math III by reviewing and supplementing critical Math II and Math III standards. 

Skills and Assessment:  Students will be able to…

  • Make sense of problems and persevere in solving them – in individual work as well as collaborative work.
  • Connect concepts to the real world by modeling with mathematics. 
  • Show that they can reason abstractly and quantitatively by explaining and justifying the processes they use in solving problems.
  • Communicate mathematical understanding and problem solving through the use of multiple representations such as diagrams, models, tables, graphs and symbols. 
  • Develop and extend strategies to transition from knowledge of concepts and skills to theoretical reasoning and application of concepts. 
  • Demonstrate mastery of concepts and skills through various assessments in the form of homework, quizzes and tests.
  • Use appropriate technology to enhance learning and understanding.

Prerequisite: Teacher or counselor recommendation.


Math I

Term: Yearlong | Level: College Preparatory (CP)   |  UC/CSU "c" requirement

Math 1 is the first course in the college preparatory math sequence. It is a study of real numbers and their properties; linear, quadratic and exponential functions; equations and expressions; statistics and probability. This course is aligned with the Common Core state standards. Passing this course is a requirement for graduation.

Skills and Assessment:  Students will be able to…

  • Make sense of problems and persevere in solving them – in individual work as well as collaborative work.
  • Connect concepts to the real world by modeling with mathematics. 
  • Show that they can reason abstractly and quantitatively by explaining and justifying the processes they use in solving problems.
  • Communicate mathematical understanding and problem solving through the use of multiple representations such as diagrams, models, tables, graphs and symbols. 
  • Develop and extend strategies to transition from knowledge of concepts and skills to theoretical reasoning and application of concepts. 
  • Demonstrate mastery of concepts and skills through various assessments in the form of homework, quizzes and tests.
  • Use appropriate technology to enhance learning and understanding.

Prerequisite: Teacher or counselor recommendation.


MATH II

Term: Yearlong   |   Level: College Preparatory (CP)   |  UC/CSU "c" requirement

Math II is the second course in the college preparatory math sequence. Instructional time will focus on five critical areas: extending the laws of exponents to rational exponents; comparing key features of quadratic functions with those of linear and exponential functions; creating and solving equations and inequalities involving linear, exponential, and quadratic expressions, including those with complex solutions; extending work with probability; and establishing criteria for similarity. This course is aligned with the Common Core State Standards.

Skills and Assessment:  Students will be able to…

  • Connect concepts to the real world using mathematical modeling.
  • Reason quantitatively and use units to solve problems.
  • Explain and justify the processes they use in solving problems.
  • Communicate mathematical understanding and problem solving through the use of multiple representations such as diagrams, models, tables, graphs, and symbols. 
  • Develop and extend strategies to transition from knowledge of concepts and skills to theoretical reasoning and application of concepts.
  • Demonstrate mastery of concepts and skills through various assessments in the form of homework, quizzes, tests, and performance tasks.
  • Use appropriate technology to enhance learning and understanding.

Prerequisite: Grade of C or higher in Math I and teacher recommendation.


MATH III

Term: Yearlong   |   Level: College Preparatory (CP)   |  UC/CSU "c" requirement

Math III is the third course in the college preparatory math sequence. Instructional time will focus on four critical areas: applying methods from probability and statistics to draw inferences and conclusions from data; expanding understanding of functions to include polynomial, rational, and radical functions; expanding right triangle trigonometry to include general triangles and trigonometric functions; and consolidate functions and geometry to create models and solve contextual problems.  This course is aligned with the California Common Core State Standards.

 

Skills and Assessment:  Students will be able to…

  • Connect concepts to the real world using mathematical modeling.
  • Reason quantitatively and use units to solve problems.
  • Explain and justify the processes they use in solving problems.
  • Communicate mathematical understanding and problem solving through the use of multiple representations such as diagrams, models, tables, graphs and symbols. 
  • Develop and extend strategies to transition from knowledge of concepts and skills to theoretical reasoning and application of concepts. 
  • Demonstrate mastery of concepts and skills through various assessments in the form of homework, quizzes, tests, and performance tasks.
  • Use appropriate technology to enhance learning and understanding.

Prerequisite: Grade of “C” or higher in Math II and teacher appraisal.


FUNCTIONS, STATISTICS, AND TRIGONOMETRY

Term: Yearlong   |   Level: College Preparatory (CP)   |  UC/CSU "c" requirement

This course is a college-preparatory mathematics elective. It is designed to follow Math III with extended mathematical concepts that enhance critical thinking skills. This course satisfies the California State Content Standards for Trigonometry and Math Analysis. The course focuses on the development of reasoning and problem solving skills. Topics that students will study include trigonometric functions using the concepts of circular functions, logarithmic functions, series and sequences, probability and statistics, and function transformations.

 

Skills and Assessment:  Students will be able to…

  • Communicate mathematical understanding and problem solving through the use of multiple representations, written and verbal explanations
  • Investigate connections and relationships with appropriate use of technology
  • Develop proficiency by analyzing characteristics of models, graphs and properties of function families - linear, polynomial, rational, exponential, logarithmic and trigonometric
  • Extending understanding of statistics: graphical representations of data, normal approximation, binomial probabilities
  • Investigating transformation of graphs
  • Exploring trigonometric functions, identities, graphs and applications
  • Analyze sequences and series
  • Progress as Complex thinkers by strengthening their ability to investigate, analyze, interpret, and apply information to formulate conclusions and solve problems
  • Progress as effective communicators by fostering understanding and forging connections with applications beyond the classroom.

Prerequisite: Successful completion of Math III


ACCOUNTING

Grade Level: 11-12   |  Term: Yearlong   |   Level: High School Credit

Accounting is an ROP course, embedded in the Woodbridge High School bell schedule, which grants math credits toward graduation.  The Accounting course introduces students to basic accounting principles and practices along with general business concepts. This study is based on the objectives outlined in the California Career Technical Education Standards. The course focuses on the complete eight-step accounting cycle, the use of financial reports for ethical decision making, cash management and payroll functions as well as personal finance topics such as banking, credit and career planning. This course is part of the business and finance industry sector.

 

Skills and Assessment:  Students will be able to…

  • Demonstrate proficiency in the creation of General Journal entries, General Ledger postings, Worksheets, Balance Sheets, Income Statements, and period-closing entries and reports.
  • Practice and be proficient applying basic math skills (addition, subtraction, multiplication, division) and concepts (percentages, fractions) to accounting and personal finance topics.  
  • Be able to use technology (calculators, online working papers, internet searches) to facilitate their completion of accounting problems and projects.  
  • Gain life and career-readiness skills by using computerized accounting simulation software, and participating in personal finance simulation activities and mock job skills/interview exercises.
  • Demonstrate proficiency via class work/homework, online problem sets, concept quizzes, unit tests, final exams and tasks and projects.

Prerequisite: Open to 11th and 12th grade students.

 


Enhanced Math II

Term: Yearlong   |   Level: College Preparatory (CP)    

Enhanced Math II is an accelerated and challenging course designed for students who excel in math.  Students entering from Math I should easily grasp higher level concepts, embrace rigorous curriculum and master all Math I standards.  In Enhanced Math II, students will go deeper into Math III standards, including those (+) standards as defined in the CA Mathematics Framework, as well as several Math III and Pre-Calculus standards.  Student assignments contain more critical thinking and higher depth of knowledge.

Prerequisite/s:

  • Math I student meets 2 of 3 criteria: Grades of A, End of Course Assessment 85% or above, Appraisal of Standards for mathematical Practice (SMPs).
  • Enhanced Math I student meets 2 of 3 criteria: Grades of A, End of course Assessment 85% or above, Appraisal of Standards for Mathematical Practice (SMPs).

PRE-CALCULUS

Term: Yearlong   |   Level: College Preparatory (CP)   |  UC/CSU "c" requirement

This course is intended to prepare students for Calculus and other higher level mathematics.  In this course students will use and expand their knowledge and understanding of topics learned in Math 3, such as real and complex numbers, functions, equations and expressions, modeling polynomial and rational functions, exponential and logarithmic functions, and analytic geometry. In addition, students will study trigonometric functions, vector theory,  and sequences & series. Students may take AP Statistics concurrently with this course.

 

Skills and Assessment:  Students will be able to…

  • Make sense of problems and persevere in solving them – in individual work as well as collaborative work.
  • Connect concepts to the real world by modeling with mathematics. 
  • Show that they can reason abstractly and quantitatively by explaining and justifying the processes they use in solving problems.
  • Communicate mathematical understanding and problem solving through the use of multiple representations such as diagrams, models, tables, graphs and symbols. 
  • Develop and extend strategies to transition from knowledge of concepts and skills to theoretical reasoning and application of concepts. 
  • Demonstrate mastery of concepts and skills through various assessments in the form of homework, quizzes and tests.Use appropriate technology to enhance learning and understanding.
  • Use appropriate technology to enhance learning and understanding.

Prerequisite: Grades of C or better in all marking periods of Math III.


AP Pre-Calculus

Term: Yearlong   |   Level: Advanced Placement (AP)  |  UC/CSU "c" requirement 

This course provides the rigorous development of Pre-Calculus topics necessary to prepare students for studying Advanced Placement Calculus.  The formal study of a function type through multiple representations (e. g., graphical, numerical, verbal, analytical), coupled with the application of the function type to a variety of contexts.  The first semester concepts include the study of polynomial, rational, exponential, logarithmic, trigonometric functions and their graphs.  Second semester concepts include triangle trigonometry, polar coordinates, vectors, sequences and series, parametric equations and matrices.

In addition, students will deepen and extend their understanding in each of these areas through the study of advanced related topics, application to more complex problem-solving situations, expanding on justification for solutions, and applying knowledge with technology.

Skills and Assessment:  Students will be able to…

  • Connect concepts to the real world using mathematical modeling.
  • Reason quantitatively and use units to solve problems.
  • Explain and justify the processes they use in solving problems.
  • Communicate mathematical understanding and problem solving through the use of multiple representations such as diagrams, models, tables, graphs, and symbols.
  • Develop and extend strategies to transition from knowledge of concepts and skills to theoretical reasoning and application of concepts.
  • Demonstrate mastery of concepts and skills through various assessments in the form of homework, quizzes, tests, and performance tasks. 
  • Use appropriate technology to enhance learning and understanding.

Prerequisite: Successful completion of EM2, Math Bridge, or Math 3 with a teacher appraisal.


AP CALCULUS AB

Learn more about AP Calculus AB at WHS:

Term: Yearlong   |   Level: Advanced Placement (AP) +  |  UC/CSU "c" requirement

In this college-level course, students will study major topics of mathematics outlined by College Board including: limits and continuity, derivatives, integrals, differential equations, and applications. The A.P. exam for this course requires students to use a graphing calculator, the calculator suggested for use is the TI-84+. This course qualifies for the extra honors grade point credit. 

 

Skills and Assessment:  Students will be able to…

  • Make sense of problems and persevere in solving them – in individual work as well as collaborative work.
  • Connect concepts to the real world by modeling with mathematics. 
  • Show that they can reason abstractly and quantitatively by explaining and justifying the processes they use in solving problems.
  • Communicate mathematical understanding and problem solving through the use of multiple representations such as diagrams, models, tables, graphs and symbols. 
  • Develop and extend strategies to transition from knowledge of concepts and skills to theoretical reasoning and application of concepts. 
  • Demonstrate mastery of concepts and skills through various assessments in the form of homework, quizzes and tests.Use appropriate technology to enhance learning and understanding.
  • Use appropriate technology to enhance learning and understanding.

Prerequisite: Must meet 2 of 3: grades of C or better in all marking periods of AP PreCalculus; 80% or better on end of course assessment; teacher appraisal. OR grades of C or better in all marking periods of Pre-Calculus.


AP CALCULUS BC

Find out more about AP Calculus BC at WHS

Term: Yearlong   |   Level: Advanced Placement (AP) +  |  UC/CSU "c" requirement

In this college-level course, students will study major topics of mathematics outlined by College Board including: limits and continuity, derivatives, integrals, differential equations, Taylor series, parametric/polar/vector functions, and applications. The A.P. exam for this course requires students to use a graphing calculator, the calculator suggested for use is the TI-84+. This course qualifies for the extra honors grade point credit. 

 

Skills and Assessment:  Students will be able to…

  • Make sense of problems and persevere in solving them – in individual work as well as collaborative work.
  • Connect concepts to the real world by modeling with mathematics. 
  • Show that they can reason abstractly and quantitatively by explaining and justifying the processes they use in solving problems.
  • Communicate mathematical understanding and problem solving through the use of multiple representations such as diagrams, models, tables, graphs and symbols. 
  • Develop and extend strategies to transition from knowledge of concepts and skills to theoretical reasoning and application of concepts. 
  • Demonstrate mastery of concepts and skills through various assessments in the form of homework, quizzes and tests.Use appropriate technology to enhance learning and understanding.
  • Use appropriate technology to enhance learning and understanding.

Prerequisite: Must meet 2 of 3: grades of B or better in all marking periods of AP PreCalculus; 80% or better on end of course assessment; teacher appraisal. OR grades of A in all marking periods of Pre-Calculus.


AP STATISTICS

Learn more about AP Statistics at WHS

Term: Yearlong   |   Level: Advanced Placement (AP) +  |  UC/CSU "c" requirement

In this college-level course, students will study major topics of mathematics outlined by College Board. 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.

The A.P. exam for this course requires students to use a graphing calculator, the calculator suggested for use is the TI-84+. This course qualifies for the extra honors grade point credit. 

 

Skills and Assessment:  Students will be able to…

  • Engage in real world problem solving through analyzing the statistics of actual data from complex problems in or society.
  • Clearly articulate the meaning of their solutions in ways that would be understandable to those who are not well versed in statistics.
  • Use technology (mainly graphing calculators and computers) to help break down larger data sets into manageable and understandable summary statistics.
  • We will test after every chapter and have two summative tests.  One at the end of the first semester and one before the actual AP test.  This second test is cumulative for the entire year’s worth of information.

Prerequisite: Grade of C or better in all marking periods of Math III