• Math 4


    COURSE DESCRIPTION - From the LHS Course Catalog:

    Math 4 students will develop their understanding of general function concepts such as function operations, composition and inverses, and transformations. They will investigate the graphical characteristics of rational functions. They will expand their knowledge of trigonometric functions, focused on function graphs, equation solving, identities, and modeling. They will work with complex numbers in rectangular and polar forms and investigate the graphs of polar equations. They will perform vector and matrix operations and use vectors for simple proofs and for solving practical problems.

    Math 4 students will engage in mathematical practices such as making sense of problems, reasoning and constructing arguments, and using structure and regularity. They will use functions and geometry to create and critique mathematical models and solve contextual problems. They will use tools including graphing calculators, spreadsheets, and geometry software.


    Our main textbook is Precalculus: Graphical, Numerical, and Algebraic by Demana et al. The course will cover nearly all the math content of Chapters 1–7.

    It is your responsibility to cover your textbook and take good care of it. We will rarely need textbooks during class so you may leave your textbook at home.

    You will need a TI-83 or TI-84 graphing calculator. If you do not own a calculator, the Math Department has a limited quantity of calculators that will be lent on a first-come, first-serve basis. See https://lps.lexingtonma.org/Page/2374 for more information about purchasing or borrowing a calculator.

    You will also need a binder dedicated to math, with a section of graph paper as well as pencils and erasers. Colored pencils or pens are strongly encouraged. The last item you will need is a one-subject spiral notebook to keep in the classroom and to be used solely for the warm-up questions/journals.


    Students and Teachers are expected to RESPECT each other:

    • Come to class on time and prepared to learn
    • Listen to each other and be prepared to discuss mathematics with each other respectfully
    • Ask the teacher before you leave the room & be honest about where you are going


                60%    Tests (35%) and Quizzes (25%)                    20%    Homework

               10%     Project                                                           10%    Journal

          Each quarter will count as 20% of the year grade. There will also be three cumulative exams—one around November (5%), one around February (5%), and the final exam in June (10%).

    EXTRA HELP: After school with Mr. D, Mrs. G, the Learning Center (Rm. 146), peer tutors (Rm. 146)…


    Students will have homework assignments almost every night.  Homework will be due the next day.  Completed homework will receive 2 points, attempted homework (poorly completed homework) will receive 1 point, no homework will receive 0 points.  (Students are still expected to complete their homework even if it is not posted on the website.)

    Students will have an opportunity to correct errors made on quizzes to qualify for a re-take. Complete quiz corrections must be handed in within one week of receiving a graded quiz in order to take a re-take. Late submissions will not be accepted. The two quiz scores will be averaged. Tests will not be able to be corrected or taken a second time for additional credit.


    When a student has an excused absence the student has the same number of days to make up missed assessments and assignments as days the student is absent.  If the student does not make up any missed work in a timely manner, their grade will automatically turn into a zero. If there is a test or an assignment due on the first day of your absence, you are responsible for it on the day you return. No make-up homework will be accepted for credit in the last week of the quarter. Any missed assignments or material can be obtained by e-mailing the teacher or another student in the class or checking the website.


    SCORING for Tests and Quizzes:

    Most problems will be graded on a 0-to-5 scale measuring the correctness of your responses and the quality of your explanations. Here is the typical meaning of each score value.

    average on 5-point scale

    letter grade

    4.30 and above


























    5: an exemplary correct solution. The work is correct in every detail, and presented in a clear and fully-justified manner.

    4: a correct solution. The work is generally correct, but may have weaknesses in presentation or justification, or be slightly lacking in detail.

    3: solution with minor error. The work has at least one significant mistake or omission. Any deficiencies are relatively minor, typically things that a student would be able to fix independently once pointed out.

    2: solution with major error. The work has at least one major error or missing step, or an accumulation of many minor errors. The deficiencies are significant enough to show a lack of mastery and perhaps a need for re-teaching and re-learning.

    1: slight progress toward a solution. There is some correct progress in the direction of a solution, but most of the work needed for a correct solution is not present.

    0: little or no progress toward a solution. The work contains hardly any of what would be needed in a correct solution.

    Sometimes questions that require only a short response may be graded using only selected point values. For example, a right-or-wrong question might be scored 4-or-0 or scored 4/2/0.

    Letter grades will be formed from an average or weighted average of problem scores using the scale shown in the table above.