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AUTHOR Chris McMullen earned his Ph.D. in physics from Oklahoma
State University and currently teaches physics at Northwestern
State University of Louisiana. He developed the "Improve Your Math
Fluency" series of workbooks to help students become more fluent in
basic math skills.WHAT TO EXPECT This is a workbook designed to
offer plenty of practice with essential skills. It is not a
textbook designed to "teach" trigonometry, but a workbook designed
to supplement a student's instruction in trigonometry. Examples and
a brief description of the concepts are included to serve as a
quick refresher and a guide. If you need more instruction, you
should use this workbook in combination with a textbook. The last
chapter involves applications of trig identities, which is a
challenging topic that will mostly interest more advanced students.
A few chapters are intended to help students memorize the trig
functions of common angles like 30, 150, or 315 degrees, which will
be especially useful for students who may take exams without a
calculator (that's the case with the MCAT and many math and science
courses). There may be more practice than many students need, which
is much better than having too little practice. Any extra pages may
be helpful for teachers or parents with multiple
children.DESCRIPTION This "Trigonometry Essentials Practice
Workbook with Answers" provides ample practice for developing
fluency in very fundamental trigonometry skills. Every problem can
be answered without a calculator, which is very helpful for
students who aren't allowed to use a calculator. This is the case
in some trig and physics courses, as well as some standardized
exams (like the MCAT).CONTENTS This workbook is conveniently
divided up into 11 chapters so that students can focus on one
trigonometry skill at a time. Skills include the following:
converting between degrees and radians;expressing sine, cosine,
tangent, secant, cosecant, and cotangent as fractions by looking at
right triangles;solving for unknown sides and angles in 45 -45 -90
and 30 -60 -90 right triangles;determining the sine, cosine,
tangent, secant, cosecant, and cotangent of multiples of 30 and 45
up to 360 (working with both degrees and radians);practice finding
the reference angle for angles in Quadrants II, III, and IV;finding
the inverse trig functions;applying the law of sines and the law of
cosines to solve for unknown sides and angles in acute and obtuse
triangles;solving problems with trig identities (like the angle sum
and difference formulas);and solving algebraic equations that
feature basic trig functions.EXAMPLES Each section begins with a
few pages of instructions for how to solve the problems followed by
some examples. These examples should serve as a useful guide until
students are able to solve the problems independently.ANSWERS
Answers to exercises are tabulated at the back of the book. This
helps students develop confidence and ensures that students
practice correct techniques, rather than practice making
mistakes.PHOTOCOPIES The copyright notice permits parents/teachers
who purchase one copy or borrow one copy from a library to make
photocopies for their own children/students only. This is very
convenient if you have multiple children/students or if a
child/student needs additional practice.INTRODUCTION An
introduction describes how parents and teachers can help students
make the most of this workbook. Students are encouraged to time and
score each page. In this way, they can try to have fun improving on
their records, which can help lend them confidence in their math
skills.
DESCRIPTION: These word scramble puzzles consist of pairs of
English and French words where the letters have been scrambled. In
each pair, the first word is a common English word and the second
word is its French equivalent. Solve each puzzle by rearranging the
letters to form the matching English and French words. For example,
consider the following pair of English-French word scrambles: L O H
E L / J U N O B O R. Rearranging the letters LOHEL, we can form the
word HELLO; and unscrambling the letters JUNOBOR, we can form
BONJOUR. LEVEL OF DIFFICULTY: You need to have familiarity with
vocabulary words from French 1 in order to be able to unscramble
the French words. Once you have unscrambled both words in a puzzle,
seeing the words that go together - one English, one French - will
help to reinforce your French-English vocabulary. ORGANIZATION: All
of the answers in each puzzle are related in some way. For example,
they might all be days of the week, or they might be feelings.
Knowing that the words are related may help you unscramble any
words that you don't see right away. HINTS/ANSWERS: There are
separate sections of hints and answers at the back of the book. The
hints section provides just the first letter of each word. This can
be useful if you just need a little help. Complete answers are
provided in the answers section. You might want to place a folded
sheet of paper here so that you can check the current puzzle's
answers without spoiling other puzzles.
AUTHOR: Chris McMullen earned his Ph.D. in particle physics from
Oklahoma State University. Dr. McMullen currently teaches physics
at Northwestern State University of Louisiana. His background on
the geometry and physics of a possible fourth dimension of space
includes a half-dozen research papers on the prospects of
discovering large extra dimensions at the Large Hadron
Collider.DESCRIPTION: While Volume 1 covered the geometry of extra
dimensions in detail, Volume 2 focuses on the physics of extra
string-inspired dimensions. Consider the problem and solution of
expressing the cross product in higher dimensions. See the effect
that the extra flux of field lines has on Gauss's law in higher
dimensions. Explore how extra dimensions may be hidden via
compactification. Discover the recent motivation for the case of
extra dimensions that are much larger than originally predicted by
string theory. Read about current and upcoming experiments with the
potential to detect the presence of large extra dimensions in our
universe. Learn the fundamentals of special and general relativity,
quantum mechanics, and string theory, and how these relate to extra
dimensions... All on this visual introduction to the fourth and
higher dimensions. This guide is conceptually and visually
detailed, intended for mathematically-minded readers who may have
not yet been exposed to calculus.PUZZLES: Several puzzles are
included to challenge the reader to contemplate the fourth
dimension. Answers are included at the back of the book.
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