TAKS Test Taking Strategies - TAKS Tutorial by decree

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									TAKS Tutorial
Test-Taking Strategies
Remember that the TAKS test is
untimed! That gives you plenty
of time to do this first strategy!
Look at the ENTIRE test first
  BEFORE doing any problem
  on it!
Place a code indicator by
  the problem number. This
  procedure will ensure that
  you do the test in the order
  that is BEST for YOU!
    The Code Indicators:
*     I can do this problem
√     I am fairly sure I can do this
      problem
−     I don’t know how to do this
      problem
c     I can use a calculator to do
      this problem
  While your mind is FRESH, you
  want to do ALL of the
  problems that you know how
  to do FIRST!

So you don’t waste time or get
  overly frustrated, you leave the
  problems you do not know how
  to do until last. By that time, you
  might have jarred a memory
  that will help.
Based on information from past
years…

You need to aim for at least
  35 correct out of the 60
  problems on the test. (9th
  and 10th grade tests have
  fewer than 60) to pass.
You certainly know enough
  math to get a little more
  than HALF the test correct!!
  Other numbers to go for…
• You need about 53 correct out
  of 60 (90%) to get commended.
  Every Honors student should aim
  for commended status!
• You need about 42 correct out
  of 60 to be exempted from
  taking the THEA (Texas Higher
  Education Assessment) test. You
  CANNOT use a graphing
  calculator on the THEA.
Strategies for Multiple Choice tests:
• Read ALL of the choices
  before choosing an answer
• Eliminate answers you
  know are not correct
• Don’t keep on changing
  your answer. Usually your
  first choice is the right one,
  unless you misread the
  question
 Strategies for Multiple Choice tests:
• If there is an “All of the
  above” option and you
  know that at least two of
  the choices are correct,
  select the “All of the above”
  choice
• If there is an “All of the
  above” option and you
  know that one of the
  statements is false, don’t
  choose “All of the above”
 Strategies for Multiple Choice tests:
• If there is a “None of the
  above” choice and you are
  certain one of the
  statements is true, don’t
  choose “None of the above
• If there is a no guessing
  penalty (and there is not a
  penalty on TAKS), always
  take an EDUCATED guess
  and select an answer
  Strategies for taking Math Tests:
• Read the directions carefully
  and don’t forget to answer all
  parts of the question
• Make estimates for your
  answers…for example, if you
  are asked to answer 48 x 12 = ?,
  you could expect a number
  around 500 (50 x 10), but if you
  end up with an answer around
  5000, you’ll know you did
  something wrong.
Strategies for taking Math Tests:
• Make a list or table and
  look for a match
• Make a graph and look for
  a match
• Look for a pattern and find
  a match
• Draw a picture or diagram
Strategies for taking Math Tests:
• Use the answer options
• Guess an answer and
  check to see if it works for
  the situation/problem
• Eliminate options that are
  too large, too small, don’t
  make sense, or don’t
  answer the question
Let’s put into practice our strategies
Here are some actual TAKS
 questions for us to work on.

Read the questions first and place
  one of the Code Indicators next
  to the problem number.

Now, as we work through the
 problems one-by-one, think of
 which strategy could be used
 for selecting the correct answer
 choice.
5 A function is described by the equation
  y = 2x 2 − 5x − 3, in which y is dependent on x. If a
  value for the independent variable is selected from the
  set {−4, −1, 0, 2, 5}, which of the following is a
  corresponding dependent value?
  A 9         B −6         C −5         D 0


 The strategy to use on this problem is
 to make use of the calculator
                                               The set
        5 A function is described by the equation of x-coordinates
You are given = 2x 2 − 5x − 3, in which y is dependent on x. If a
            y
x-coordinates
    to use value for the independent variable is selected from the
            set {−4, −1, 0, 2, 5}, which of the following is a
            corresponding dependent value?
                                                   You are looking for a y-
           A 9          B −6         C −5          D 0
                                                  coordinate that goes with
                                                one
       Use the table feature of your calculator toof those given x-
        You are given a function rule. Enter it     coordinates.
       find the y-coordinates that go with the
        into your graphing calculator.
       above x-coordinates…

                                 NO


                                 NO
                                 NO
                                A Match!                          NO
48 Thalia played a word game in which she had a
   minute to create 5- and 6-letter words from a given
   word. The given word was wonderful. Thalia
   scored 7 points for each 5-letter word she created
   and 15 points for each 6-letter word she created.
   Which of the following is not a possible value for
   the total points Thalia scored?

   F 37      G 46        H 58      J 59

The strategy for this problem is to use
the answer choices to see which ones
are eliminated.
48 Thalia played a word game in which she had a
   minute to create 5- and 6-letter words from a given
   word. The given word was wonderful. Thalia
   scored 7 points for each 5-letter word she created
   and 15 points for each 6-letter word she created.
   Which of the following is not a possible value for
   the total points Thalia scored?

   F 37        G 46        H 58       J 59
To have all 5-letter words, these point
values would have to be a multiple of 7:
7, 14, 21, 28, 35, 42, 49, 56, 63. To have
all 6-letter words, they would have to be
multiples of 15: 15, 30, 45, 60
None of the options fit this description.
   48 Thalia played a word game in which she had a
      minute to create 5- and 6-letter words from a given
      word. The given word was wonderful. Thalia
      scored 7 points for each 5-letter word she created
      and 15 points for each 6-letter word she created.
      Which of the following is not a possible value for
      the total points Thalia scored?

      F 37        G 46       H 58       J 59
That means these possible point values are a
combination of 5-letter and 6-letter words.
My suggestion: keep subtracting 15 pts from
the answer choice until you get a number that
is a multiple of 7. (Or keep subtracting 7 until
you get a multiple of 15.)
48 Thalia played a word game in which she had a
   minute to create 5- and 6-letter words from a given
   word. The given word was wonderful. Thalia
   scored 7 points for each 5-letter word she created
   and 15 points for each 6-letter word she created.
   Which of the following is not a possible value for
   the total points Thalia scored?

   F 37        G 46          H 58        J 59
     -15        -15           -15          -15
     22         31            43           44
     -15          -15         -15          -15
     7*           16          28*          29
   possible
                  -15                      -15
                              possible
                  1                        14*
              not possible                possible
53 Which of the following
polynomial equations best
represents this graph?

A   (x + 6)(x − 2) = y
B   (x − 2)(x − 16) = y
C   (x − 6)(x + 2) = y
D   (x + 2)(x + 16) = y


 The strategy to use on this problem
 is to use the answer choices with the
 calculator. We want to graph the
 answer choice until we find the one
 that matches this graph.
   53 Which of the following
   polynomial equations best
   represents this graph?

   A   (x + 6)(x − 2) = y
   B   (x − 2)(x − 16) = y
   C   (x − 6)(x + 2) = y
   D   (x + 2)(x + 16) = y
                               This one looks
                               like it is a match.
First, I’ll match up the       It has the same
window on my                   x-intercepts and
calculator with the            the vertex
scale of this graph.           appears to be in
                               the same place
  53 Which of the following
  polynomial equations best
  represents this graph?

   A   (x + 6)(x − 2) = y
   B   (x − 2)(x − 16) = y
   C   (x − 6)(x + 2) = y
   D   (x + 2)(x + 16) = y


You really should             Nope, not B.
check the other answer        You cannot
choices. Do not jump          even see the
the gun—be certain!           entire graph.
53 Which of the following
polynomial equations best
represents this graph?

A   (x + 6)(x − 2) = y
B   (x − 2)(x − 16) = y
C   (x − 6)(x + 2) = y
D   (x + 2)(x + 16) = y


                            Not C, either.
                            The x-intercepts
                            and the vertex
                            do not match.
53 Which of the following
polynomial equations best
represents this graph?

A   (x + 6)(x − 2) = y
B   (x − 2)(x − 16) = y
C   (x − 6)(x + 2) = y
D   (x + 2)(x + 16) = y


                            Definitely not D.
                            Our first answer
                            was the correct
                            one.
56 The table below shows the relationship
   between x and y.
              Which function best represents the
              relationship between the quantities
              in the table?
              F y = 2x + 1
              G y = 2x 3 + 1
              H y = 2x 2 − 3
              J y = 2x 2 + 4x + 1
 The best strategy to use on this problem
 is to enter the answer choices into our
 calculator and find a matching table of
 values.
56 The table below shows the relationship
   between x and y.
              Which function best represents the
              relationship between the quantities
              in the table?
              F
              X y = 2x + 1
              G y = 2x 3 + 1
              H y = 2x 2 − 3
              J y = 2x 2 + 4x + 1
                                              While the
                                              first three
                                              ordered
                                              pairs match,
                                              the point
                                              (2, 17) is not
                                              in this table.
56 The table below shows the relationship
   between x and y.
              Which function best represents the
              relationship between the quantities
              in the table?
              F
              X y = 2x + 1
              G y = 2x 3 + 1
              H y = 2x 2 − 3
              J y = 2x 2 + 4x + 1

                                             This table
                                             matches the
                                             problem
                                             table
                                             perfectly!
56 The table below shows the relationship
   between x and y.
              Which function best represents the
              relationship between the quantities
              in the table?            To be sure, we
              F
              X y = 2x + 1             can check the last
              G y = 2x 3 + 1           two choices.
              H y = 2x 2 − 3
              J y = 2x 2 + 4x + 1



           Nope                            G is the correct
                                 Nope      answer choice
20 What are the coordinates of the x-intercept of the
function graphed below?

                             F (4, 0) G (−3, 0)         H
                             (0, 4) J (0, −3)


                                The best strategy to
                                use on this problem
                                is to study the
                                answer choices and
                                eliminate the ones
                                that do not make
                                sense.
20 What are the coordinates of the x-intercept of the
function graphed below?

                             F (4, 0) G (−3, 0)         H
                             (0, 4) J (0, −3)


                             This problem refers to
                             x-intercepts. X-intercepts
                             have zero for a y-coordinate.

                             This knowledge will allow
                             us to eliminate H and J.
20 What are the coordinates of the x-intercept of the
function graphed below?
                      (4, 0)
       (-3, 0)                 F (4, 0) G (−3, 0)       H
                               (0, 4) J (0, −3)


                               If you will use the formula
                               chart as a straight edge and
                               extend the line until it hits
                               the x-axis, you will find the
                               one of the remaining options
                               is not reasonable.

                               Choice F is the correct one.
27 A diagonal walkway through a park is 18 meters
   long. If the park is a square, how long is one of its
   sides to the nearest tenth of a meter?
      A 9.0 m                C 18.0 m
      B 12.7 m               D 25.5 m

  The best strategy to use with this
  problem is to draw and label a picture
  so that you can SEE what the problem
  is asking.
27 A diagonal walkway through a park is 18 meters
   long. If the park is a square, how long is one of its
   sides to the nearest tenth of a meter?
      A 9.0 m                C 18.0 m
      B 12.7 m               D 25.5 m
              x meters    The park is a square.
   18 m
                         The walkway is a diagonal
                         and it is 18 meters long.
  x meters
  27 A diagonal walkway through a park is 18 meters
     long. If the park is a square, how long is one of its
     sides to the nearest tenth of a meter?
        A 9.0 m                C 18.0 m
        B 12.7 m               D 25.5 m
                x meters   You can now see that you have an
     18 m                  isosceles right triangle to work with. A
                           right triangle means that you can use
                           the Pythagorean Theorem. The
    x meters               formula is written on the math chart if
                           you don’t remember what it is.


Even with the formula chart, you do need to
remember that “c” is the hypotenuse (longest
side of the right triangle).
  27 A diagonal walkway through a park is 18 meters
     long. If the park is a square, how long is one of its
     sides to the nearest tenth of a meter?
        A 9.0 m                C 18.0 m
        B 12.7 m               D 25.5 m
                x meters   Using the Pythagorean Theorem we
      18 m                 have: x2 + x2 = 182 so
                                 2x2 = 324      dividing by 2…
     x meters                     x2 = 162      now square root
                                  x = 12.727…


Rounded to the nearest tenth, we get 12.7
27 A diagonal walkway through a park is 18 meters
   long. If the park is a square, how long is one of its
   sides to the nearest tenth of a meter?
      A 9.0 m                C 18.0 m
      B 12.7 m               D 25.5 m
              x meters   If you are taking the Exit Level (11th
   18 m                  grade) test, you should also know
                         about 45o-45o-90o triangles. You could
                         use your knowledge about those
  x meters               triangles to answer this problem, as
                         well.
27 A diagonal walkway through a park is 18 meters
   long. If the park is a square, how long is one of its
   sides to the nearest tenth of a meter?
      A 9.0 m                C 18.0 m
      B 12.7 m               D 25.5 m
              x meters   The hypotenuse is the length of the
   18 m                  shorter legs (which are the sides of the
                         park) multiplied by the square root of 2.
                         If you divide the walkway hypotenuse
  x meters               by the square root of 2, you will get the
                         sides of the park.
57 The midpoint of the diagonals of rectangle PTQW
   is (−0.5, 1). The coordinates of P are (−3.5, 6).
   What are the coordinates of Q?

                       A   (−2, 3.5)
                       B   (−6.5, 11)
                       C   (−1.5, 2.5)
                       D   (2.5, −4)

                       Again, the strategy that you
                       want to use with this problem is
                       to eliminate answer choices
                       that do not make sense with the
                       information given to you in the
                       problem.
    57 The midpoint of the diagonals of rectangle PTQW
       is (−0.5, 1). The coordinates of P are (−3.5, 6).
       What are the coordinates of Q?

                            A   (−2, 3.5)
                            B   (−6.5, 11)
                            C   (−1.5, 2.5)
                            D   (2.5, −4)

                            Look at the way the diagonal is
                            drawn in the figure. Study the
                            coordinates of P and midpoint C.


Do you notice how the x-coordinates are getting larger as the
diagonal moves to the right? Do you notice how the y-
coordinates are getting smaller as the diagonal moves down?
    57 The midpoint of the diagonals of rectangle PTQW
       is (−0.5, 1). The coordinates of P are (−3.5, 6).
       What are the coordinates of Q?

                            A   (−2, 3.5)
                            B   (−6.5, 11)
                            C   (−1.5, 2.5)
                            D   (2.5, −4)

                            In your answer options, choice B
                            is to the LEFT of point P, not to
                            the right as point Q is located.


Can you also see, by their x-coordinates, that choice A and
choice C are located BETWEEN points P and C?
    57 The midpoint of the diagonals of rectangle PTQW
       is (−0.5, 1). The coordinates of P are (−3.5, 6).
       What are the coordinates of Q?         If you would
                                              rather, you could
                            A   (−2, 3.5)
                                              eliminate those
                            B   (−6.5, 11)
                                              same options
                            C   (−1.5, 2.5)
                                              looking at the y-
                            D   (2.5, −4)
                                              coordinates.
                           Answer choice B has a y-
                           coordinate that is HIGHER than
                           point P, not lower as point Q is
                           located.

Can you also see, by their y-coordinates, that choice A and
choice C are located BETWEEN points P and C?
 So, study the Code Indicators
If you do not like ours, feel free
   to make up your own.
Go through the test first,
   deciding which problems that
   you want to do first.
Do the ones you know how to
   do first!!!!
Use your strategies to help you.
You only have to get a little
   more than half of the
   problems correct! YOU CAN
   DO IT!!!!!!!

								
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