• HW for 9/20 (A), 9/21 (D)

    Posted by Allen Olsen on 9/20/2018

    Objective:

    HW:

    1. Please write a paragraph about your experience with the homework quiz last class.  You should identify some area where you were surprised by the outcome -- maybe you didn't expect a certain kind of problem to appear on the exam, or you thought you knew the answer but were wrong, or maybe you didn't write down an answer because you didn't understand the question.

    The question is, what do you want to have happen differently next time?  Be specific, because by being specific it is more likely that you can come up with a plan to address it.  "I want to do better" is not specific enough.

    Then, give me a list of things that are

    a. under your power to do

    b. have something to do with how you do homework, how you take notes, or how you study for a test

    c. are specific things that you can try.

    That's it!  This isn't for a grade, but I would like you to hand it in at the beginning of next class.

    2. Read, in section 1.4 of the text, pages 106 to 109.  Then, on page 112: do problems 1 - 4, 15, 17, 19, 23, 25, and 27.

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  • HW for 9/17

    Posted by Allen Olsen on 9/17/2018

    Today I took a sick day.  The instructions I gave were to work during class on a handout called "Limits and Continuity."

    HW: Finish up the handout, which is here.

    The homework quiz was not given today, but you should be ready for it and should expect that it will be given either Tuesday or Friday when I return.

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  • HW for 9/13 (A), 9/14 (D)

    Posted by Allen Olsen on 9/13/2018

    Prepare for a Homework Quiz on Monday in class.  The quiz will be 20 - 25 minutes long and be based on the homework assigned in section 1.2, as well as the 12 Basic Functions Sheet.

    Review outline:

        1. Do you know the Definitions highlighted in yellow in Section 1.2?

        2. Do you know the 12 Basic Functions?

            a. Are you able to sketch them?  Do you know their domains, ranges, and asymptotes?  Their end behavior? Do you know the 3 Rules of Domains?

            b. Can you find their x- and y-intercepts?

            c. Do you know which intervals they are increasing and decreasing on?

            d. Do you know which Basic Functions are even? odd? neither?  Can you prove it using the definition of even and odd?

            e. Are you fluent in interval notation?

        3. Can you do problems 13 - 28 on page 103 in Section 1.3?

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  • HW for 9/12

    Posted by Allen Olsen on 9/12/2018

    HW: Section 1.2, pp. 92 - 95:

    29 - 34, 41 - 46, 55 - 62, 67 - 69.

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  • HW for 9/11

    Posted by Allen Olsen on 9/11/2018

    HW: Finish as homework the assignment that we started as classwork on Thursday / Friday last week.  Don't just copy the answer from the book without being able to explain it.  Don't just put someone else's answer down without being able to explain how to get it.  Write down your questions and ask them in the next class.

    Also, read about Interval Notation on pages 4 and 5 of your textbook.  Copy the diagrams into your Notes for reference.

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  • No HW for 9/7 (D)

    Posted by Allen Olsen on 9/7/2018

    In class today, I assigned the following problems for CLASSWORK:

    Section 1.2, pp. 92 - 95: Exercises 1 - 4; 9 - 24; 47 - 54.

    This was classwork only.  Do not work on these during the weekend.  We will pick up with them on Tuesday.

    There is NO HOMEWORK tonight, per the District Homework Policy.

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  • HW for 9/6 (A)

    Posted by Allen Olsen on 9/6/2018

    HW: Section 1.2, pp. 92 - 95:

    Exercises 1 - 4, 9 - 16, 17 - 20, 21 - 24, 47 - 54.

    Also, read the Course Guide.

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  • HW for 9/4 (D), 9/5(A)

    Posted by Allen Olsen on 9/4/2018

    Today we started to go over the "12 Basic Functions" Handout that I gave you last week.

    1. I asked for two volunteers from each group to bring textbooks to class while we await the delivery of a classroom set of textbooks.

    2. We drew the 12 basic functions on the board.

    3. We went through the definition of

         RELATION: a set of ordered pairs depicting a graph in the x-y plane.

         DOMAIN: The set of x-values in a relation; or, equivalently, the set of INPUTS.

         RANGE: The set of y-values in a relation; or, equivalently, the set of OUTPUTS.

         FUNCTION: a relation that obeys the Vertical Line Test (VLT): a relation is a function if no vertical line intersects the graph in more than one point.  Another, equivalent, formulations are: 1. If x is in the domain of a relation, and the points (x, y1) and (x, y2) are in the relation, y1=y2.  We can write y=f(x) because for a function, f(x) is a well-defined expression.  The expression put "inside" the function is called its ARGUMENT.  So, when we write f(x^2-3), f is the function and x^2-3 is its argument.

    4. We articulated 3 RULES OF DOMAINS:

        1) The argument of the square-root function must be >= 0, that is, NON-NEGATIVE.

        2) The argument (or denominator) of the reciprocal function must be ≠ 0, that is, NON-ZERO.

        3) The argument of any logarithm function must be > 0, that is, POSITIVE.

    Using these rules, we found that, except for the reciprocal, square root, and common logarithm functions, the domain of each basic function was "all real numbers."

    5. If R is a relation, then its INVERSE R^(-1) is the graph obtained by reflecting R over the line y=x. If the point (x,y) is in a relation R, then the point (y,x) is in its inverse R^(-1).

    6. The RANGE of a function is the DOMAIN of its INVERSE RELATION, with y substituted for x.

    Examples:

    a. The Range of y=x^2 is y>= 0, because the Domain of the Inverse relation y = ± √(x) is x >= 0.

    b. The Range of any Exponential Function is y > 0 because the Domain of its inverse, a logarithm function, is x > 0.

    c. The Range of the Reciprocal Function is y ≠ 0, because this function is its own inverse!

    d. The Range of the Logistic Function is 0<y<1, because the Inverse of y = 1/(1+e^(-x)) is y = ln ( x / (1 - x) ), which has the domain 0 < x < 1.

    e. There are some special cases that can most easily be seen from the graph of the function: The Range of the Absolute Value Function is y >= 0; the range of the Greatest Integer Function is the set of Integers {..., -2, -1, 0, 1, 2, ...}

    More to follow... I am posting this now for D Block but will add the Homework assignment later today.

     

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  • Welcome!

    Posted by Allen Olsen on 8/29/2018

    Welcome to CP1 Math 4! 

    I'm Mr. Olsen and we are going to have a lot of fun this year.  I look forward to working with each one of you and getting to know you as the year progresses. 

    This website is where I put up the latest information about homework assignments and what's coming up in class.  I will update it daily and would like it if you could check it daily. This is particularly important if you missed class for any reason.  Use it to stay informed and stay current!

    Your first homework assignment is below!  (Don't worry -- it's easy!)

    First, get Supplies!

    1. By next class, please get 2 or 3 100-page Notebooks so that you can take notes in class and construct your Math Journal for the year.  Please bring one of these notebooks to the next class with a writing implement. 

    2. Please bring a graphing calculator to the next class so that I can see that you have one. 

    3. Please put a book cover on your textbook that I gave you in your first class.

    That's it!  Notebook -- calculator -- book cover!

    HW: Skim the first chapter of the textbook (Chapter P, for 'Preliminary').

    This chapter contains items that you learned last year, most likely.  I want you to look them up in the first chapter so that you can get a sense of where to look up information about them when you need it later.  As you do this, jot down any terms that you have not seen before or have questions about, and we will go over them in the next few classes.

    Topics:

    Page 2: Real numbers, natural numbers, integers, set-builder notation.

    Page 4-5 : Interval notation (bottom of page) -- we will be using this a lot.  How does it relate to expressing intervals using inequalities?

    Page 6: Properties of Algebra: Commutative, Associative, Identity, Inverse, Distributive.

    Page 7: Exponents

    Pages 13-15: Absolute Value, Distance Formula, Midpoint Formula, Equation of Circle.

    Page 21: Properties of Equality and Inequality: Reflexive, Symmetric, Transitive

    Page 22: Solving Linear Equations

    Pages 23 - 24: Solving Linear Inequalities

    Page 29: Point-Slope Form, Slope Intercept Form.

    Page 32: Parallel / perpendicular lines

    Page 41: Quadratic Formula

    Page 42: Completing the Square

    Page 45: Finding Intersections

    Page 48 - 51: Complex numbers

    Page 53: Solving inequalities

     

    Thanks!

    -- Mr. Olsen

     

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