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"It is the mission of Harwood Union High School to provide an educational and creative environment in which every person is valued as an individual, challenged as a learner and inspired to contribute to a democratic society. As a professional learning organization of all academic departments, we are prepared to work together in order to provide a unique and personalized learning experience for all students."


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Mathematics

Suggested Course Sequence

10

11

 12

  • Integrated Math II
  • Algebra II
  • Algebra II Honors

 

 

 

  • Algebra II
  • Algebra II Honors
  • Pre-Calculus
  • Pre-Calculus w/Trig
  • AP Statistics
  • Personal Finance
  • Math in Society

 

  • AP Calculus
  • Pre-Calculus
  • Pre-Calculus w/Trig
  • AP Statistics
  • Personal Finance
  • Math in Society

 


Integrated Math I (116)    1 credit Math

  • Approved NCAA Course

This course addresses fundamental math concepts in areas of algebra and functions, statistics and probability, geometry and trigonometry, and discrete mathematics. These strands are unified by common themes and students will develop math habits of mind and interaction through a problem-based curriculum.

Desired Transferable Learning Skills:

  • Clear and Effective Communication
  • Creative and Practical Problem Solving
  • Informed and Integrative Thinking

What will you Learn?

  • Make sense of problems and persevere in solving them
  • Reason abstractly and quantitatively
  • Construct viable arguments and critique the reasoning of others
  • Model with mathematics using appropriate tools strategically
  • Attend to precision
  • Look for and make use of structure and regularity to solve problems

How will you be Assessed?

  • Class discussion, homework assignments, exit tasks
  • Some combination of portfolios, in-class assessment tasks, take-home assessment tasks, problems of the week, and projects graded using learning scales

Integrated Math Support (116A)    

  • Students are enrolled in this course based on teacher recommendation.

Desired Transferable Learning Skills:

  • Self-Direction

What will you Learn?

This course is designed to help meet the following proficiencies in Integrated Math I:

  • Make sense of problems and persevere in solving them
  • Reason abstractly and quantitatively
  • Construct viable arguments and critique the reasoning of others
  • Model with mathematics using appropriate tools strategically
  • Attend to precision
  • Look for and make use of structure and regularity to solve problems

How will you be Assessed?

  • Habits of Work rubrics and Self-Direction rubrics

Integrated Math II (123)    1 credit Math

  • Prerequisite(s): Integrated Math I or demonstration of proficiency in Integrated Math I performance indicators
  • Approved NCAA Course

This course addresses intermediate math concepts in areas of algebra and functions, statistics and probability, geometry, and slopes/derivatives. These strands are unified by common themes and students will develop math habits of mind and interaction through a problem-based curriculum.

Desired Transferable Learning Skills:

  • Clear and Effective Communication
  • Creative and Practical Problem Solving
  • Informed and Integrative Thinking

What will you Learn?

  • Make sense of problems and persevere in solving them
  • Reason abstractly and quantitatively
  • Construct viable arguments and critique the reasoning of others
  • Model with mathematics using appropriate tools strategically
  • Attend to precision
  • Look for and make use of structure and regularity to solve problems

How will you be Assessed?

  • Class discussion, homework assignments, exit tasks
  • Some combination of portfolios, in-class assessment tasks, take-home assessment tasks, problems of the week, and projects graded using learning scales

Algebra II (130)    1 credit Math

  • Prerequisite(s): Algebra I and teacher recommendation                                                               
  • Approved NCAA Course

Algebra II includes a review of Algebra I and topics of Algebra II, including functions, quadratics, complex numbers, conic sections, exponential functions, logarithmic functions, rational exponents, and trigonometry.

What will you Learn?

  • Number & Quantity: Reason, describe, and analyze quantitatively, using units and number systems to solve problems.
  • Algebra: Create, interpret, use, and analyze expressions, equations and inequalities.
  • Functions: Use functions, including linear, quadratic, trigonometric and exponential, to interpret and analyze a variety of contexts.
  • Mathematical Habits of Mind: Make Sense, Justify Why and Generalize about mathematics.

How will you be Assessed?

  • Class discussion, classwork and homework assignments
  • Some combination of quizzes for each unit, test for each unit, midterm exam, final exam, and portfolio

Algebra II Honors (132A)    1 credit Math

  • Prerequisite(s): Minimum grade of B in Algebra I and Geometry and teacher recommendation
  • Approved NCAA Course

Algebra II Honors includes the same content as Algebra II, but covers topics in greater depth.

Graphing calculators are required and used extensively.  For learning goals and methods of assessments, see description of Algebra II (130)


Mathematics in Society (121)     1 credit Math

  • Prerequisite(s): Junior or Senior status; 2 credits in Mathematics and teacher recommendation          

This course will provide an investigative look at mathematics and its applications to various professional and personal uses. Using a problem-based approach, students will explore practical applications of math in science, engineering, business, industry, and financial planning. Topics include, but are not limited to, personal finance, applications of statistics, trigonometry, discrete mathematics, and the history of mathematics.

What Will You Learn?

  • Current day/every day uses of mathematics in engineering, business and industry
  • Applications of statistics, trigonometry, and discrete mathematics
  • Personal finance
  • History of Mathematics

How will you be Assessed?

  • Class discussion; reflections re: videos.
  • Project Based; oral presentations, prezis, powerpoints, google docs, mid-term

Personal Finance (168)    1/2 credit Math

  • Prerequisite(s): Junior or Senior status; 2 credits in Mathematics and teacher recommendation
  • Non-Approved NCAA Course

This course concentrates on introducing the fundamentals and skills of personal finance. Mathematics is integrated with budgeting, balancing checkbooks, credit cards, insurance, investments and savings. Use of the calculator and computer technology is emphasized.

What will you Learn?

  • Financial responsibility and decision making
  • Income and careers
  • Planning and money management
  • Credit and debt
  • Risk management and insurance
  • Saving and investing

How will you be Assessed?

  • Classroom discussion, homework assignments, tests, projects

Robotics (167)     1/2 credit Math

  • Prerequisite(s): None

Using robots we will cover the fundamentals of problem solving, program design, algorithms and programming using a high-level language.  A robot is an embedded system of software and hardware.  Programming and building robots applies science, technology, engineering and math (STEM) concepts.  This course introduces the fundamental concepts of programming, robotics, linkage theory, kinematic geometry, Boolean logic, circuit design and the physics of planer and non-planer motion.

Desired Transferable Learning Skills:  

  • Clear and Effective Communication
  • Creative and Practical Problem Solving
  • Informed and Integrative Thinking

What will you Learn?

Using the engineering design process, students will learn to:

  • Define and delimit engineering problems
  • Develop and use models and prototypes
  • Plan and carry out investigations
  • Analyze and interpret data
  • Use mathematics and computational thinking
  • Design and develop possible solutions
  • Optimize design solutions
  • Engage in argument using evidence
  • Obtain, evaluate and communicate information

Students will learn to understand and analyze:

  • The basic structures of coding to debug and troubleshoot code
  • wiring and coding to construct an autonomous device
  • Industry defined robotics problems

How will you be Assessed?

  • Learning scales, self assessment, and teacher feedback will be provided for class assignments
  • Engineering Design Process rubrics will be used to assess summative performance tasks - formal activities, tests, and/or projects, and a final project.

Pre-Calculus with Trigonometry (138)    1 credit Math

  • Prerequisite(s): Min. grade of B in Algebra II Honors or B in Algebra II and teacher recommendation
  • Approved NCAA Course

This course is a continuation of Algebra II and explores those topics in greater depth.  Additional topics include parametric equations, and the algebra of functions.  Particular emphasis is given to topics that are fundamental to a first course in calculus including graphing calculator techniques.

Graphing calculators required.

What will you Learn?

  • Transformations and manipulations of functions as related to the four mathematical representations of functions (graphical, tabular, algebraic, verbal).  These functions include trigonometric functions, polynomials, rational functions, exponential functions and logarithmic functions.
  • This course has a focus on trigonometric functions

How will you be Assessed?

  • Class discussions, homework assignments
  • Quizzes, Unit Tests, Midterm Exam, Final Exam

Pre-Calculus Honors (140)    1 credit Math

  • Prerequisite(s): Grade of B in Algebra II Honors or A in Algebra II and teacher recommendation
  • Approved NCAA Course

Pre-Calculus Honors includes the same content as Pre-Calculus with Trigonometry, but covers topics in greater depth.  For learning goals and methods of assessments, see description of Pre-Calculus with Trigonometry (138)

Graphing calculator required.


Calculus (148)     1 credit Math

  • Prerequisite(s):  Minimum grade of B in Pre-Calculus Honors, or Pre-Calcus with Trigonometry, teacher recommendation and completion of  summer math packet.    
  • Approved NCAA Course

This is a course in one-variable Calculus for college-bound students. While not strictly following the Advanced Placement curriculum, students have the opportunity to take the AP Calculus A/B exam in May. The course includes graphical, numerical, and algebraic techniques of both derivation and integration. Generally, concepts are presented informally and intuitively as well as proven more formally. Since students find that the study of physics enhances the understanding of calculus, enrollment in both courses is recommended.

Graphing calculators are required and used extensively.

What will you Learn?

  • The concept of a derivative and its applications.
  • How to find the derivative of most two variable functions.
  • The concept of an integral and its applications.
  • How to find the integral of most two variable functions.
  • The connection between Integral and Derivative Calculus. (The Fundamental Theorem of Calculus Part I and Part II)

How will you be Assessed?

  • Formative Assessments: classroom discussion, homework assignments
  • Summative Assessments: 2-3 quizzes for each unit, 1 test for each unit, selected chapter projects, midterm exam, final exam

Advanced Placement Calculus (150)    1 credit Math

  • Prerequisite(s) Minimum grade of A in Pre-Calculus Honors or Pre-Calculus with Trig, and teacher recommendation, and completion of summer math packet
  • Approved NCAA Course

This course includes the same content of Calculus Honors, but is covered at a faster pace to prepare students to take the Calculus A/B Advanced Placement Exam in May. Students who take the AP Calculus course are strongly encouraged to take the exam. The complete syllabus for this course is available online at http://www.collegeboard.com/apcourseledger.  Graphing calculators are required and used extensively.

What will you Learn?

  • The concept of a derivative and its applications.
  • How to find the derivative of most two variable functions.
  • The concept of an integral and its applications.
  • How to find the integral of most two variable functions.
  • The connection between Integral and Derivative Calculus. (The Fundamental Theorem of Calculus Part I and Part II)
  • Preparation for the AP Calculus Examination

How will you be Assessed?

  • Classroom discussion, homework assignments
  • 2-3 quizzes for each unit, 1 test for each unit, midterm exam, final exam, end of the year project on selected topics

Statistics and Probability (­­172)     1 credit Math

  • Prerequisite(s): Geometry and Algebra II or Algebra II Honors and teacher recommendation
  • Approved NCAA Course

Statistics will introduce students to the major concepts and tools for collecting, analyzing and drawing conclusions from data.

Students are exposed to four broad conceptual themes:

  • Exploring Data: Describing patterns and departures from patterns
  • Sampling and Experimentation: Planning and conducting a study
  • Anticipating Patterns: Exploring random phenomena using probability and simulation
  • Statistical Inference: Estimating population parameters and testing hypotheses
  • Students who take the AP Statistics course are strongly encouraged to take the exam.

What will you Learn?

  • Exploring and Understanding Data
  • Exploring Relationships Between Variables
  • Gathering Data
  • Randomness and Probability
  • Making inferences about situations using statistics
  • Using inferences to determine when variables are related

How will you be Assessed?

  • Class discussion, homework assignments
  • Projects per unit, group projects with written reports, end of the year project

Advanced Placement Statistics (­­173)    1 credit Math

  • Prerequisite(s): Minimum grade of B in Algebra II Honors, and teacher recommendation, and pass a placement test.
  • Non-Approved NCAA Course

This course includes the same content of Statistics and Probability, but is covered at a faster pace to prepare students to take the Statistics Advanced Placement Exam in May. Students who take the AP Statistics course are strongly encouraged to take the exam.  For learning goals and methods of assessments, see description of Statistics and Probability (172)