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Let's play a game! I am going to hand out some game boards like this, each with different decimals. I am going to provide you with fractions, if my fraction matches your decimal block it out with your chip. We are basically playing Bingo with math!!! :)

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You will be using decimals throughout your life. For example, a big one is decimals and money. If you are buying candy and one chocolate bar costs 1.5 cents and a lollipop costs .67 how much do you owe?

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You will be using decimals throughout your life. For example, a big one is decimals and money. If you are buying candy and one chocolate bar costs 1.5 cents and a lollipop costs .67 how much do you owe?

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Lets do some addition with decimals!

1.35
+.67
(notice we always want to line  up the decimals)
7+5=12 carry the 1 over
6+3=9 add the 1=10
carry the 1 over again
BUT REMEMBER TO BRING YOUR DECIMAL DOWN!
1+1=2

Therefore you will need $2.02 to buy your candy.

In the future you will be using this to do more adult things like paying bills. Not fun, but you will see how important learning decimals was because you don't want to pay the wrong amount on an important bill. You will also need to know decimals and fractions when you learn to drive, you need to pay attention to how much gas is in your tank!    3/4 of a tank will get  you a lot further than 1/4.  Why is that?   Let me show you how to convert these to decimals and we will see which is larger.

You can look at the line that divides the fractions as a division symbol. So when you see 3/4 you can also look at it as 3 divided by 4.    When you work this out, it equals .75.
When you divide 1 by 4 you get .25. So you see when you have 3/4 a tank you can go far, when you  have 1/4 , time to find a gas station!

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You might  be surprised to learn that that modern methods of working with decimals were invented less than 500 years ago. That is really not very long considering basic math concepts have been around thousands of years! The person who is credited with making decimal fractions widely known  is Simon Stevin of Bruges, in the Flemish Netherlands. He wanted to teach everyone "how to perform with an ease unheard of, all computations necessary between men by integers without fractions ".  Decimal fractions as they look today were used by John Napier, a Scottish mathematician. Here are some examples of how early decimals problems looked: Notice how they have always been closely worked with fractions.
http://www.csun.edu/~hbund408/math%20history/math.htm

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Arizona Department of           Education

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Arizona Department of           Education

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High Academic Standards for Students

State Board Approved June 2010

October 2013 Publication
According to the state standards students will be expected to work with:
Number and Operations in Base Ten (NBT)

Understand place value.

Use place value understanding and properties of operations to add and subtract.

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http://www.helpingwithmath.com/by_subject/decimals/dec_teaching_decimals.htm
http://www.skillsyouneed.com/num/decimals.html
http://www.azed.gov/standards-practices/mathematics-standards-2/

http://www.csun.edu/~hbund408/math%20history/math.htm

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Fractions and decimals are different ways to represent parts of a whole number. We are familiar with fractions so let's start by learning how fractions and decimals relate to each other.

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In this lesson we will learn about "places." We will be able to look at numbers with multiple digits and determine which digit is in the ones, tens, hundreds and so on.

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In this lesson we will learn about "places." We will be able to look at numbers with multiple digits and determine which digit is in the ones, tens, hundreds and so on.

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THE BASE TEN NUMBER SYSTEM

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We will become familiar with the base ten number system so we can successfully work with decimal numbers

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We will become familiar with the base ten number system so we can successfully work with decimal numbers