Finally Conquer Fractions
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Do fractions frighten you? Do you feel "bad at math" and wonder why others seem to understand it so easily? Are you afraid you won't be able to successfully teach your own children or help them with their homework?
If so, this is the course for you.
In a pressure-free environment, I'll talk you through the basics of working with fractions:
This course is geared specifically toward adults because that is my professional background, but it would also be appropriate for school-aged children. I will explain concepts using a visual approach that works particularly well for students who want to know why something works the way that it does.
It's time to finally conquer your fear.
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Section 1: Introducton | |||
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Lecture 1 | 02:07 | ||
Get to know the real person behind the computer screen. |
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Lecture 2 | 04:28 | ||
Learn about my goals for the course, the general structure of the course, and what is expected from students. |
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Lecture 3 | 03:23 | ||
Let's start at the very beginning. It's important to be on the same page, mathematically speaking. |
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Lecture 4 | 03:55 | ||
In this digital age, are fractions still important and relevant? |
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Section 2: Multiplication and Division | |||
Lecture 5 | 1 page | ||
It might seem more natural to begin with addition and subtraction, but that's not actually the best approach in learning or teaching about fractions. |
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Lecture 6 | 06:49 | ||
How can we multiply two fractions, and what does that mean conceptually? |
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Lecture 7 | 09:06 | ||
How can we divide one fraction into another, and what does that mean conceptually? |
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Lecture 8 | 07:08 | ||
At the end of the Dividing Fractions lecture, we saw some examples of dividing fractions by multiplying by the reciprocal (flipped over version) of the second fraction. Why does that work? |
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Quiz 1 | 4 questions | ||
Let's see what you've learned so far! I bet you'll perform better than you expect, but just in case you score less than 80%, I would suggest going over this section again. The concepts in this course build on one another, so it's important to have a strong foundation. Simply enter your answer in the blank provided. To enter a fraction, just type it in like this: 1/2. |
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Section 3: Simplifying Fractions | |||
Lecture 9 | 06:06 | ||
It's important to know how to write a fraction "in lowest terms." Let's look at what that means from a visual perspective. |
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Lecture 10 | 13:21 | ||
Now let's consider how to simplify fractions from a numerical perspective. |
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Quiz 2 | 4 questions | ||
Rewrite each fraction in lowest terms (i.e., fully simplified). As before, enter your answers in the form a/b. |
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Section 4: Common Denominators | |||
Lecture 11 | 6 pages | ||
What is a "least common multiple?" |
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Lecture 12 | 2 pages | ||
Now that we know about least common multiples, what does that have to do with fractions? |
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Lecture 13 | 03:39 | ||
How can we rewrite a fraction in a different but equivalent form? |
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Quiz 3 | 6 questions | ||
Enter any fractions by typing them in as something of the form 3/4. As before, if you score less than 80%, go back and repeat this section before moving on. |
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Section 5: Addition and Subtraction | |||
Lecture 14 | 3 pages | ||
How do we add and subtract fractions that have the same denominator? |
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Lecture 15 | 07:37 | ||
What if the denominators are different? How do we add and subtract fractions in that situation? |
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Quiz 4 | 4 questions | ||
Complete the following by adding or subtracting, as indicated. Be sure to fully simplify your answers. |
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Section 6: Mixed Numerals | |||
Lecture 16 | 2 pages | ||
What is meant by "mixed numeral?" |
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Lecture 17 | 08:07 | ||
What is an improper fraction, should they be avoided, and what do they have to do with mixed numerals? |
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Lecture 18 | 01:53 | ||
How can an improper fraction be converted back into a mixed numeral? |
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Lecture 19 | 2 pages | ||
How can we multiply and divide mixed numerals? |
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Lecture 20 | 2 pages | ||
Adding and subtracting mixed numerals by first converting each mixed numeral into an improper fraction. |
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Lecture 21 | 05:32 | ||
Mixed numerals can also be combined without first converting into mixed numerals. |
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Quiz 5 | 5 questions | ||
Be sure to fully simplify your answers. |
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Section 7: Conclusion | |||
Lecture 22 | 2 pages | ||
Here's a listing of where the key concepts can be found among the lectures. |
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Quiz 6 | 12 questions | ||
You have learned so much through this course! Let's put it all together here. As before, if you score below 80%, go back and review the lectures from your trouble spots, and give it another try. (Note: Unless explicitly instructed, enter answers as regular or improper fractions instead of mixed numerals. Be sure to fully simplify your answers.) |
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Lecture 23 | 01:39 | ||
You did it! Here are some closing thoughts and information on other courses. |
Hi everyone! (Or Hey Y'all for any fellow Southerners!) My name is Laura Baggett. I am a math professor and a homeschool mom. I have a BS in Math from Auburn University (War Eagle!) and an MS in Applied Math from Georgia Tech. Including two years as a graduate teaching assistant at Georgia Tech, I have almost 14 years of experience teaching math at the college level, including 4 years as a full-time instructor. I have taught courses ranging from College Arithmetic to Differential Equations. I've been teaching online for Kaplan University since April 2010.
I have been homeschooling my children for the past 4 years. My goal is to give parents - homeschool moms, in particular - the tools, confidence, and motivation for conquering math themselves and teaching it to their children.
I grew up in Hartselle, Alabama, a small town roughly halfway between Birmingham and Huntsville. I have been married to my husband, David, for 16 years, and we have two children: Nathan is 9, and Megan is 6. My "main" job is being a stay-at-home, homeschool Mom, and I love that teaching online allows me to be at home with them. When I'm not cooking, cleaning, doing laundry, teaching my children or going to church, I ... well, that's pretty much all I do! But I also enjoy playing the piano, reading (especially Jane Austen), writing, and speaking. I'm also a huge SEC football fan, and I love 80's music. :)
I have traveled to 49 states (still lack Alaska!) and 11 different countries. We have moved 13 times over the past 16 years!Most recently, we moved from Arkansas to Northwest Georgia. My husband is a prosthetist/orthotist, which means he makes artificial limbs and braces, and most of the moves have been for his education and job. Thank goodness teaching online is "portable!"
Well, that's probably more than you ever wanted to know about me. :) I am really looking forward to getting to know each of you during the course.