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Courses >
Math, Philosophy, & Science > Introduction to Algebra
Develop
a rich understanding of the rudiments of algebra in a relaxed and
supportive learning environment. This course will help you understand
some of the most important algebraic concepts, including orders of
operation, units of measurement, scientific notation, algebraic
equations, inequalities with one variable, and applications of rational
numbers.
An emphasis on practical applications for your
newfound skills will help you learn to reason in a real-world context.
As a result, you will acquire a wide variety of basic skills that will
help you find solutions to almost any problem.
This unique and
thought-provoking course integrates algebra with many other areas of
study, including history, biology, geography, business, government, and
more. By the time you finish this course, you will understand how
algebra is relevant to almost every aspect of your daily life.
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Syllabus:
All
courses run for six weeks, with a two-week grace period at the end. Two
lessons are released each week for the six-week duration of the course.
You do not have to be present when the lesson is released, but you must
complete each lesson within two weeks of its release.
A new
section of each course starts on the second or third Wednesday of each
month. If enrolling in a series of two or more courses, please be sure
to space the start date for each course at least two months apart.
| Week One |
| Wednesday - Lesson 01 |
Today we'll begin to explore Al-jabru,
Arabic for algebra, which means the science of restoration and
canceling. We'll go in search of algebraic solutions. On our quest,
you'll learn definitions, numeric properties, and basic operations that
originated from the ancient lands where papyrus was used instead of
paper.
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| Friday - Lesson 02 |
How
do calories contribute to weight gain? How can you make a dense cake?
You'll answer these and other questions in today's lesson. You'll learn
the different physical quantities, their units of measurement, and why
they're important. I'll show you the dimensions of length, area, and
volume and how to convert their units of measurement. You'll also learn
the difference between mass and weight, and density and weight density.
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| Week Two |
| Wednesday - Lesson 03 |
Today
we'll talk about evaluation, but not the type of evaluation your boss
or your teacher may give you … well, at least not until your final
exam. In this lesson, we'll evaluate algebraic expressions by using the
order of operations and the distributive property. You'll also learn
translation as we translate word problems into numerical ones.
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| Friday - Lesson 04 |
In
this lesson, you'll learn formulas for basic shapes: squares and
rectangles, triangles, circles, spheres, cylinders, and cubes. You may
be thinking, "This is a geometry course, too?" In a way you're
correct—some aspects of geometry involve formulas, which people use in
everyday life. And where there are formulas, algebra can't far behind.
|
| Week Three |
| Wednesday - Lesson 05 |
Today
you'll learn how to balance equations while learning even more
formulas, such as those used to calculate interest, distance, and
temperature. We'll talk about how to translate these types of verbal
equations into numerical ones. So this is your chance to hone reading
comprehension skills, too!
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| Friday - Lesson 06 |
In
this lesson, we'll calculate problems involving percentages, such as
how much to invest at different interest rates to obtain optimum
interest, and you'll learn how to determine a specific quantity of a
component of a mixture or solution given specific concentrations. I'll
also show you how to buy wisely by teaching you how to calculate
percent increase and decrease, sales tax, and discounts.
|
| Week Four |
| Wednesday - Lesson 07 |
The
more you practice, the better you'll be able to speak the language: the
math language. Practice makes perfect! So in this lesson, you'll
calculate populations, averages, lengths, and widths. You'll also learn
how to calculate consecutive integers, including consecutive odd and
even integers.
|
| Friday - Lesson 08 |
In
today's lesson, you'll learn ratios and how to apply them to
probability and odds. You'll learn how to solve proportions involving
wildlife census taking, measurement of scales, and calculation of gas
mileage. You'll also find out how quantities vary in equations, whether
directly or indirectly, and how to apply these variations to scientific
laws and equations involving weight, area, and equations of lines.
Let's get moving and try not to break any laws—scientific laws, that is!
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| Week Five |
| Wednesday - Lesson 09 |
In
this lesson, you'll engage in outdoor activities such as jogging,
boating, and traveling in order to solve equations of uniform linear
motion. We'll talk about how to calculate distance, rate (speed), and
time while going in the same direction, opposite directions, and with
wind and water current.
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| Friday - Lesson 10 |
Today,
you'll learn how to use the formula that employs the same concept as
the uniform linear motion equation. It is the job formula (or equation)
and it involves rational equations. You'll calculate how long it takes
to finish the job, how much of the job is done, and at what rate the
job is done, depending on the number of people doing the job.
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| Week Six |
| Wednesday - Lesson 11 |
Discover
some of the natural laws that govern our universe and delve into other
physics concepts such as resistance, conductance, focal length, and
forces while you learn some history of D-Day.
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| Friday - Lesson 12 |
Potpourri,
anyone? Test various problem-solving skills while you meet General
Sherman and experience the gloominess of the Great Depression. I told
you it was potpourri.
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This
course includes a knowledgeable and caring instructor who will guide
you through your lessons, facilitate discussions, and answer your
questions. The instructor for this course will be Sharon Daniels.
Sharon
Daniels received a B.S. in physics from Southern University in
Louisiana, and was accepted into a prestigious North Carolina Teach
program. She is fluent in both English and Spanish. She teaches for a
private school, worked as a programmer/engineer for a large aerospace
firm, and provides consulting, tutoring, and training services in
statistics, calculus, programming, database and Web design, project
management, and economics.
Requirements:
Internet access, e-mail, and the and the Microsoft Internet Explorer or Mozilla Firefox Web browser are also required.
Student Reviews:
"Awesome course , Would be interested in a probibility & Statistics course if available."
"I just wanted to say thanks. The course really helped to
get me thinking in the right direction for the statistics course I'm
taking now. I just got the grade for my first assignment (algebraic
statistical problems and graphs from the first three chapters), and
it's a perfect score! Now I'm plowing through three chapters on
probability, and when I started, I referred back to the section from
this class. Once my statistics course is over, I'm going to hit a few
books that you, as a homeschooler, are probably familiar with: Saxon's
Algebra 1, 2, Advanced Math, and Calculus. Then I'm going to take the
calculus CLEP exam, worth 6 credits at my university. This course is a
great foundation for someone like me who's been away from math for
decades and is suddenly confronted with having to do a lot of it.
Thanks again."
"I loved the format of this course. I liked the fact that I
could take the quizzes over and over again and a bad score on a quiz
would not hurt my final grade."
"I really enjoyed this course and I am satisfied with the
material covered. Everything was straightforward with good examples. I
will recommend this course to friends."
"Thank you very much for this course...it will help me very much!!!"
"This course really helped me to rethink and improve on
skills that I have not used in over 20 years. I took this course a
refresher so I can re-test for my math placement. I'm hoping that this
course will do that. This course was also very affordable and
interesting. At the very least it has taught me some very good core
algebra functions and applied them to my life."
"This course was informative and very useful to me in my
future educational endeavors. I loved the instructor's sense of humor
and teaching style. she made algebra practical and understandable and
took the "fear" out of it."
To purchase this course, click the Enroll Now button below:
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