Tuesday, August 28, 2012

Nonstop Number Sense!

Mrs. Yollis' new class has been exploring number sense!
They have learned about digits, even numbers, odd numbers, and the three forms of writing a number.

The symbols 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 are digits.

The even digits are 0, 2, 4, 6, and 8.
The odd digits are 1, 3, 5, 7, and 9.

1.  Standard form: A way of writing numbers using digits

2.  Expanded form: A way to write numbers by showing   the VALUE  of each digit

3.  Word form:  A way to write numbers using words

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We used our ClustrMap gadget to help us explore the number of visitors we've had in all since 2009.

144,951 visitors!

Here is the number 144,951 in standard form, expanded form, and word form!

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We have reviewed skills with the hundred chart and odd and even digits by playing some games!

To practice with the hundred chart, several students played

Here are two mathematicians competing to see who can get the most digital dog bones!
On your mark, get set, GO!

Congratulations!

Some students played manual Dog Bone on the carpet! Very clever! Manual is a fancy adjective that means done with your hands.

Other students practiced their odds and evens by playing Ghost Blasters!
Find Ghost Blaster Even and Ghost Blaster Odd on the class website.

Here is a link to the math games section.

Which form do you like best? Standard? Expanded? Word?

Find a number at your house and write it in the three forms.

1. Dear class,

I have enjoyed exploring numbers with you! My favorite way of expressing a number is expanded form. I like thinking about the value of each place. What form do you like and why?

Here is a big number I got from the odometer on my car. An odometer keeps track of all the miles the car has traveled.

Standard: 59,721
Expanded: 50,000 + 9,000 + 700 + 20 + 1
Word: fifty-nine thousand, seven hundred twenty-one.

I wonder if my car has more miles than your car?

Mrs. Y♥llis

1. Dear Mrs. Yollis,
Our odometer reads 55,884. Our car is six years old. How old is your car?

My favorite way to write numbers is standard form.

Standard: 55,884
Expanded: 50,000 + 5,000 + 800 + 80 + 4
Word: fifty-five thousand, eight hundred eighty-four.

Nate

2. My favorite values are expanded and word form because one is the easiest and one is the hardest to write. There are 33,591 miles on my mom's car, my dad's car has 72,736 miles. He has more miles than my mom because he drives his car a lot for work.
My mom has a big car since we have 4 kids in our family and need lots of room. My dad has a small car because he's the only one that has to fit in it every day.

Sincerely,
Bennett

2. Dear Mrs. Yollis,

The odometer on my mom's car reads 18,936 miles. You have driven more miles than my mom has. Is your car older than my mom's car?

Standard: 18,936
Expanded: 10,000 + 8,000 + 900 + 30 + 6
Word: eighteen thousand, nine hundred thirty six.

My favorite form is the expanded form because I like writing pluses and it's more like math than just writing the words.

Is your car a big car or a small car?

Bryce

1. @ Bryce,

Fabulous comment! You really know your numbers and how to get a conversation going! Well done, Bryce!

You are correct: 18,936 < 59,721

You asked about the age of my car. My car is a 2007. About how old is my car?

I have a fairly large car. In fact, I would classify it as a truck. We use it when we go camping and to put all our gear in the back.

Is your car big or small?

Mrs. Y♥llis

2. Dear Mrs. Yollis,

In class today we looked at the blog and we read the comments. We talked about the comments and the numbers that people published.

Now I know that your car is bigger than mine. Mine is a Honda minivan. Your car is 5 years old. Our car is a 2011. That makes it 1 year old.

It was fun learning about those numbers. It was a fun day.

I'll see you tomorrow.

Bryce

3. My favorite book is Diary of a Wimpy Kid Rorick
Rules and it has 216 pages. What is your favorite book?

Standard: 216
Expanded: 200 + 10 + 6
Word: Two hundred, sixteen

I like the word form the best because it helps me spell better.

Katelyn

1. @ Katelyn,

Terrific comment! Thinking of a large number like the number of pages in a novel is a very clever idea! Super job, Katelyn!

I am reading a book right now, and it has 302 pages.

Standard: 302
Expanded: 300 + 2
Word: three hundred two

Yes, when you write a number in word form it does help your spelling. Here are some hard ones.

How do you spell 90, 12, and and 40? Good luck!

Mrs. Y♥llis

2. Thank you for the challenge.
90: ninety
12: twelve
40: forty

I think we're going to have a good day today!

Katelyn

4. Dear Mrs. Yollis,

My mom's car is a big white Suburban. It is
11 years old and the odometer shows 104,234 miles. It has more miles than both of your cars.

Standard: 104,234
Expanded: 100,000+4,000+200+30+4
Word: one hundred four thousand,two hundred thirty four

What color car do you have?

Sean

1. @ Sean,

What a great observation! Your total miles is more than Bryce's car and my car put together!

I'm going to check that.

18,936 + 59,721 = 78,657

Now I will compare the total to your car.

78,657 < 104,234

You are correct!

My truck is silver.

Mrs. Y♥llis

5. Dear Mrs. Yollis,

My mom's odometer reads 79,702. Does that sound like alot to you? It does to me. That is almost exactly 20,000 more miles than you have on your car.

Standard: 79,702
Expanded: 70,000 + 9,000 + 700 + 0 + 2
Word: seventy-nine thousand, seven hundred two

My mom's car is four years old. It is a 2008. Your car is 5 years old, so, her car is younger than yours. My mom must drive more than you!

My mom has a big car to take us kids and our friends, along with all our things, everywhere we need to go.

Where do you like to go camping?

Jenna

1. @ Jenna,

Wow! Yes, 79,702 is quite a few miles! There are a lot of big numbers on the odometers in our class! Here they are in order from least to greatest.

18,936 < 59,721 < 72,736 < 79,702 < 104,234

You asked where we like to camp. We've taken the car to the Grand Canyon, Bryce Canyon, Zion Canyon, and Yosemite National Park. We also like to camp in the eastern Sierra near Mammoth Lakes.

Do you like to camp?

Mrs. Y♥llis

6. My cousins from Vancouver are coming to visit this weekend for my uncle's wedding. Vancouver is 1,078 miles away. I went to visit them last year for their Bar and Bat Mitzvah. Do you have any family that lives in another country?

Standard: 1,078
Expanded: 1,000+0+70+8
Word: one thousand, seventy eight

I like standard form the best because it's just the most fun to do!

See you tomorrow!
From,
Mallory

1. @ Mallory,

We've had people share odometer numbers, number of pages in a book, and now you have introduced a new category, distance! How did you figure out the distance?

We have a blogging class that lives in Canada. Would you like to know about them? I can share their blog with you tomorrow!

You asked if I have any family in another country. No, all of my relatives live here in the United States. They live in California and Montana.

Terrific comment!

Mrs. Y♥llis

2. @ Mallory,
It sounds like you have a fun weekend planned with your cousins. Are they flying or driving here from Vancouver?

I hope flying. I understand it takes just about 2 hours to fly from Vancouver to Los Angeles, while it takes about 20 hours to drive. Planes travel so fast and their route is more direct.

If the distance to Vancouver is 1,078 miles away and it takes an airplane about 2 hours to travel that. Can you figure out about how fast the plane travels?

Your friend and fellow student's mom,
Mrs. Mah
(Jenna's Mom)

7. Dear Mrs Yollis and class
We had an extraordinary number today when we checked our clustrmap visitor count: 22,222 .
It says twenty-two thousand, two hundred and twenty-two.
In expanded form it is 20,000 + 200 + 20 + 2.

We talked about the next number that will have just one repeated digit. Can you think what that number will be?

warm wishes
Mrs Mckenzie and B4

1. @ Mrs. McKenzie and B4,

Thank you for your comment! That is an extraordinary number! How exciting!

In your excitement, we noticed a small error in the expanded form. Don't worry about it, Mrs. Yollis made an error too! She had the greater than and less than signs backwards. :-( We know that everyone makes errors.

We are not going to tell you the error. Perhaps someone from B4 can comment about what value is missing. :-)

You asked us what will be the next repeated digit number. We think it will be:

33,333 and then 44,444 and then 55,555 and then 66,666 and then 77,777 and then 88,888 and finally 99,999.

What will be the next repeated number?

Mrs. Y♥llis class

8. Dear Mrs. Y♥llis

My mom's car has drove 200,889 miles. It was made in 1997. So far it has drove the most miles.

Standard: 200,889
Expanded: 2,000+800+80+9
Word:two hundred thousand, eight hundred eighty nine

On my dad's car he may have drove more miles then my mom's car but I don't know.

L♥ve, Heather

1. @ Heather,

Wow! You already figured out the HTML code for the heart! Way to go, Heather!

I think your mother's car will probably have the most miles in the class. Having an odometer that reads 200,889 is quite remarkable!

My first car was a Mitsubishi Montero. I had it for nearly a decade, and it got up to 187,000 miles. That was high, but your number is higher!

Standard: 187,000
Expanded: 100,000 + 80,000 + 7,000
Word: one hundred eighty-seven thousand

I wonder if a car can go on forever?

Mrs. Y♥llis

9. @ Mrs. Yollis,

My mom's car is a golden Nissan Pathfinder.
My dad's is a big dark green truck from Ford.

When I grow up and if I have enough money I will want a red Beetle.

From,
Heather

10. @ Mrs. Yollis,
there are 9645 channels on my T.V. My favorite way of writing numbers is expanded form.

Expanded: 9,000+600+40+5
Word: nine thousand six hundred forty-five
Standard: 9645

I would like a challenge if your up to it?!?!

Sincerely,
Grace

1. @ Grace,

I ♥ your new idea about the channels. Is that true? Do you really have 9,645 channels? If so, how do you choose?

So, you'd like a challenge? I am always up for a challenge.

The tallest mountain in North America is Denali. It rises 20,327 feet above sea level.

The tallest mountain in the world is Mount Everest in Asia. Its elevation is 29,029 feet above sea level.

Good luck!

Mrs. Y♥llis

P.S. Don't forget to proofread for capitalization! :-)

2. Dear Mrs. Yollis,

We only subscribe to about 200 of those 9,645 channels. Most of them are blocked by my parents. We don't get to watch TV on school days.

Standard: 20,327
Expanded: 20,000+300+20+7
Word: twenty thousand three hundred twenty-seven

Standard: 29,029
Expanded: 20,000+9,000+20+9
Word: twenty nine thousand twenty nine

Sincerely,
Grace

11. Dear Mrs Yollis,
On my Plants vs. Zombies computer game, I reached a great score of 4,956 suns. That was my best score in my whole game. I was so happy to get 4,000 + 900 + 50 + 6. If my mom wrote me a check for this amount, it would look this: four thousand, nine hundred, fifty, six. That would be so cool! I would buy an Ipad.
To a great year!
From,
Ryan

1. @ Ryan,

Wow! That is some great score! I'm not much of a computer game person, but it sounds like you have quite a few wins!

You are correct, when a person writes a check to a store or to a person, they must write the amount in standard form and word form. For example, if I wrote a check to PetCo for Buck's toys and the amount was \$19.75 then I would write it like this:

Standard: \$19.75
Word: Nineteen dollars AND seventy-five cents

I put in the word AND because the number has a decimal in it. Whenever there is a decimal, insert the word AND.

Have a great day!

Sincerely,
Mrs. Y♥llis

12. Dear Mrs. Yollis,
I will be traveling to India with my family in a few months to meet my grand parents. It will take us more than 1 day to reach India. India is 8,711 miles or 14,019 kilometers from US. Kilometers is the unit that is used in India to measure distance, like we use miles here.
My favorite way of writing digits is word form.
Standard: 8,711
Expanded: 8000+700+11
Word form: Eight thousand seven hundred eleven

Have you traveled out of US? If yes, which country and how many miles is the distance.

Aashi

1. @ Aashi,

What a trip that is going to be! My husband traveled through India when he was younger. He was there a month, and he said he stayed in the north. Darjeeling and New Delhi were memorable places for him. Darjeeling was rural, mountainous, and beautiful. New Delhi had lots of interesting architecture and was rich in history. Where will you be staying?

You asked if I have traveled to other countries. Yes, I have traveled to other countries: Mexico, Canada, Belize, Portugal, Spain, England, Ireland, the Netherlands, Belgium, and France.

Which one should I research the distance?

Mrs. Y♥llis

2. @ Mrs. Yollis,
You asked me where am I going to stay. Well, I will be staying in Ahmedabad, which is on the west side of New Delhi.
You also asked me the country you shall research the distance. I think you should research France.

Sincerely,
Aashi

13. Dear Mrs. Yollis and class,

Many numbers have been expanded, worded and digitised over the years in my classes. It's an important skill to know if we are to better understand numbers.

124 is just a counting number until we know it is 100+20+4.

My favourite form? Standard form is easiest to write but I often find it necessary to express numbers in words whereas the expanded form is what I'm thinking when calculating + - x ÷

A number around my house? Just a couple days ago I visited a class blog looking at square numbers...

I raised the largest, easiest to write number I knew, the googol. That is a number with 1 followed by 100 zeroes. It would take a long time to expand if we wrote each place and some amazing number words to express it in words. Look at the googol...

10,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000

It may not always show correctly as it is so long. :)

@RossMannell
Teacher, NSW, Australia

P.S. As I mentioned to that class, according to Wikipedia, the founders of Google had meant to use googol but misspelled the word. Spelling is important in maths too. :)

1. @ Mr. Mannell,

A 10,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 thanks for your comment!

It is so true that standard form is the one we see most often. I use to write in standard and then word form when I wrote checks. I now charge most things and rarely write checks.

We look forward to learning from you this year!

Mrs. Y♥llis

14. Dear Mrs. Yollis,
My dad's Chevy Trailblazer has 61,000 miles.
My mom's Ford Fusion has 35,249.
My dad has more because he drives to work. My mom works at home. Comined it's 96,249

Sincerly,
C♣llin

1. @ C♣llin,

Wow! A combined total of 96,249! That is nearly 100,000 miles!

Did you round the number of your dad's car to the nearest thousand?

Great job!

Mrs. Y♥llis

15. Dear Mrs. Yollis,
You asked me some questions a few days ago. I found out the distance to Vancouver on Google. And I would definitely like to know about the blogging class in Canada.
Sincerely,
Mallory

16. Dear Mrs Yollis and class
Thank you for spotting the error we made in our expanded form number! We realised that we missed out 2000 from our number.
Ivy was the first B4 student to figure out the missing number which should read 20,000 + 2,000 + 200 +20 + 2.

warm wishes
B4

(P.S. For some reason we weren't able to use the reply button to add our reply )

17. Dear Mrs. Yollis and bloggers,

The comments have been great! I want to introduce a new thing.

My family's electric meter for last month read 10,411.

Standard: 10,411
Expanded: 10,000 + 400 + 10 + 1
word: ten thousand four hundred eleven

The month before it read 9,171.

Standard: 9,171
Expanded: 9,000 + 100 + 70 +1
Word: nine thousand one hundred seventy one

That means we used 10,411 - 9,171 of electricity last month. Can anyone tell me how much electricity we used in that month in standard, expanded and word form?

I can tell you that it is alot. The hot weather and our choices for using our air conditioner had a lot to do with it. We are looking for ways to save energy. Tonight we will keep our windows open for some cool air and leave the air conditioner alone. Any other suggestions for saving energy?

How much electicity did you use last month?

Chloe

1. @ Chloe,

I love your introduction of a new big number category! Terrific! Do you know what the number measures? Is it kilowatt hours (kwh)?

Yes, using air conditioning uses a lot of electricity. We keep our windows open at night and it is lovely.

Mrs. Y♥llis

18. Dear Mrs. Yollis,

I love how you explained number sense using both words and photos. I think using both forms helps people who understand by reading as well as those like me, who need to see things visually.

My number of the day is 24,912. That's the number of students in grades K-12 who will go to their first day of school tomorrow in my school district.

Standard: 24,912
Expanded: 20,000+4000+900+10+2
Words: Twenty-four thousand, nine-hundred and twelve.

I look forward to a fun year blogging with you!
From,
Mrs. Hembree

1. @ Mrs. Hembree,

Thanks so much for a fabulous comment! Wow! You have a large number of students who will be starting school. You've got me thinking...I wonder what our district total is?

I look forward to a fun year with you! Let's plan a Skype call together!

Mrs. Y♥llis

19. Dear Mrs. Yollis,
I love the projects you did with your class.Especially those really cool hats! Those kids did an awesome job. You should visit our blog at: mrsharveychampions.blogspot.com
-Reina

* * *
Getting feedback is important to our writers. Let us know what you liked or what you learned.

Steps to Comment:

1. Write your comment in the box below. Be sure that you have proofread it for spelling, grammar, punctuation, and capitalization. Students should have a parent check it!

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3. Click "Publish your Comment". You may preview your comment before publishing if you'd like.

Important: All comments MUST be approved by me.
:-) Mrs. Yollis