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DECIMALS: what are your best lead-ins for these


kalanamak
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I just cracked open SM 4B, and over half of it is decimals. How did we get there so quickly?

 

Anyway, I'm hyperventilating a little. How did you introduce decimals? I like to do some hands on demos before cracking open the book. I've already read up on the Roman concept of decimation, which will certainly perk his ears.

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We are just hitting decimals... I used mileage as a lead in. If your vehicle has an odometer that your child can view, you can play a game counting the tenths until you hit each mile. I did that by accident, but when we came home I showed her how decimals related to fractions. We have since continued to play the same game when we are going somewhere. CLE also has her doing A LOT with metric measurement as pp suggested.

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We've just finished the decimals section and it has been surprisingly painless. I think my kids have a much better sense of numbers than I had, so math that confused me is often no problem for them.

 

I did use base 10 blocks for one or two lessons to reinforce some ideas. (It's not 0.07, 0.08, 0.09, 0.010, 0.011), so you might work with them a little if you have them. Also, of course, relating decimals to money helps a lot.

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  • 4 weeks later...

A decimal that ends or repeats is just another way of writing a fraction.

Relating decimals back to fractions also explains why we have the rules we do for decimal arithmetic - especially multiplication.

 

2/10 + 15/10, we have 17/10... so 0.2 + 1.5, we line up decimals so we're adding like parts.

 

(3/10)(2/10) = 6/100, just like (0.3)(0.2) = 0.06... and look... the decimal moved! It's because we're multiplying two fractions.

 

:)

 

Seems to help with my son.

As was mentioned, talking units... 2 TENTHS vs 2 HUNDREDTHS helps with place value too, not just zero point two.

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We hit 4B, and honestly, it's been easy. You spend enough time on fractions in 4A that the idea that a decimal is just another fraction (and, as DD puts it, an EASY fraction, because the denominator is mostly zeroes) is pretty logical. Doing some chip trading activities with dimes, pennies and dollars can help a lot (or base 10 blocks or chips if your child isn't too rigid-but I've found for my tutoring students that when they've spent K-3 thinking of base 10 blocks as multiples of 1, it's really, really hard for them to think of them as decimals. Money they're used to being subdivided).

 

If you compare to money and think of the 1 as being the midpoint, counting 10ths, hundredths, thousandths, etc makes sense. I ended up giving a lesson on this to a confused mom of a 5th grader at co-op yesterday :).

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