Archive for Exponents

Exponents: Zero, Evaluating & Negative Exponents

Here is a video explaining why any number to the zero power is equal to one.

Careful: -2^0 = -1.

You may also be interested in watching this video by Nutshell Math on exponents and using substitution and evaluating expressions that have exponents.

Here is another explanation of negative exponents. We’ll be covering more on negative exponents next week. It’s a good idea to watch the video to get a preview.

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Fraction Test Retake Help

I hope everyone is enjoying the last few days of vacation. I promised I’d post some resources for people who needed to take the retake. Remember in order to do the retake, you must correct the original test. The answer keys are posted in the classroom window. Retakes will be Thursday at lunch, Thursday after school and Friday at lunch. The maximum grade on a retake is 85%. Test corrections for people not retaking the test will be due by Friday for a 2% increase. Remember all people must choose two problems and write a few sentences about how to do the problem correctly.

All Classes
The following resources are on my fractions website, but here are direct links to some of the areas you may want to focus on:
1. Adding & Subtracting Fractions
2. Change Percents to Decimals
3. Change Fractions to Percents
4. Comparing Fractions & Decimals
5. Comparing Fractions, Decimals & Percents
6. Saloon Slap Game: Compare fractions, decimals and percents

There is currently a scarcity of good fractions tutorials on the web. I was planning on making a bunch of YouTube videos over the break, but I’ve been without a whiteboard for a couple of weeks and just got one made yesterday. Ugh! I’ve been playing with iMovie but I can’t upload them because I haven’t learned how to configure my new computer to my Internet at home…. so what all that means is that the YouTube videos will be a little late in their debut. Sorry. 😦 The good news is that I will be available at lunch all week if you have questions. 🙂

Here are two videos in the rough because my PC wouldn’t recognize my iMovie.
YouTube Video: Find the LCM & GCF Using Venn Diagrams
Helpful for large denominators
YouTube Video: Writing Exponents in Expanded Form
This is a basic skill needed in order to divide monomials.

Remember there is a basic multiplying & dividing monomials video on a previous post. If the concept is gotten fuzzy in your mind over the break, it would be 5 minutes well spent to watch it.

Math 7*
I have one YouTube video up about negative exponents. It’s a fairly advanced one.If you are struggling with the basic concept, come see me or get help from a friend.

See you all soon and if you haven’t checked out the 2007 New Year’s Resolution post, I recommend it.

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Fractions & Percent-Decimals-Fractions Test

The fractions, percents-decimals-fractions & multiplying & dividing monomials test is day 4 of this week. Math Tutor: Fractions is a great resource to help you prepare. This website that I created has tutorials, videos and fun games to teach you about fractions and how to change from fractions, decimals to percents. I’d love to hear your comments about the site. Leave a post.

If you haven’t see the YouTube video on multiplying and dividing monomials, I recommend it highly. It will help you to avoid common mistakes.

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Multiplying & Dividing Monomials

A monomial is a single term. For example, 3x, -5xy and 7 are all monomials. When multiplying and dividing monomials, it’s a helpful to write the problem in expanded form. a^2*a^3 = a*a*a*a*a = a^5. (That looks weird. I’ll be happy when blogging supports math software!)

For a quick reteach of multiplying and dividing monomials, check out this video. It also discusses common pitfalls to avoid. [YouTube=http://www.youtube.com/watch?v=Z6T1BtXKZbs]

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Prime Birthday Cake Factorization

Prime factorization of numbers is easy with the prime birthday cake method. Watch this YouTube video to see how to do it. I’d love to hear your comments. [YouTube=http://www.youtube.com/watch?v=8UYFltrQZBU]

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Zero as an Exponent

Why is a number to the zero exponent equal to one? Check out this simple explanation based on patterns. Please rate and give feedback on my video. I’d like to hear what you have to say. [YouTube=http://www.youtube.com/watch?v=OGbL6QZW0Ls]

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Simplifying Exponents

Simplifying exponents isn’t always as straightforward as it looks. A great strategy is to write the problem in expanded form to see what you have, then simplify. Check out this YouTube video to see how to do it. Please rate and give feedback on my video. I’d like to hear what you have to say. [YouTube=http://www.youtube.com/watch?v=Z6T1BtXKZbs]
There are some pitfalls or common mistakes that students make. Watch this YouTube video by MathMan entitled Three Exponent Mistakes to help you simplify correctly. [YouTube=http://www.youtube.com/watch?v=h063AzwjGlc]

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