Four Fours!

Today we tried to make all fo the numbers from 1-20 using four (no more, no less) fours.  We were allowed to use all four operations, as well as parentheses, exponents and combining the fours to make 44.  A wide variety of solutions were found, but I have included some that I found on the "Four Fours" Wikipedia page.  I have added some other solutions, in grey, since we used exponents and didn't use decimals, square roots (√) or factorials (!). 

Here is a set of four fours solutions for the numbers 0 through 20, using typical rules. Some alternate solutions are listed here, although there are actually many more correct solutions


0 = 44 − 44 = 4 − 4 + 4 − 4 = 4 + 4 - 4 - 4 

1 = 44 ÷ 44 = 4 ÷ 4 + 4 − 4 = (44 − 44)!

2 = 4 ÷ 4 + 4 ÷ 4

3 = (4 + 4 + 4) ÷ 4

4 = 4 ×(4 − 4) + 4

5 = (4 × 4 + 4) ÷ 4

6 = 4 × 4 + 4 - 4 = 4 + 4 + 4 ÷ 4

7 = 44 ÷ 4 − 4 = 4 + 4 − (4 ÷ 4)

8 = 4 + 4.4 − .4 = 4 + 4 + 4 − 4

9 = 4 + 4 + 4 ÷ 4

10 = (44 − 4) / 4 = 44 ÷ 4.4 = 4 + √4 + √4 + √4

11 = 4 ÷ .4 + 4 ÷ 4 = 4^2 - (4 + 4 / 4)

12 = (44 + 4) ÷ 4 = 4^2 - 4 + 4 - 4

13 = 4! − 44 ÷ 4= (4 − .4) ÷ .4 + 4 = 4^2 - 4 -4 / 4

14 = 4 × (4 − .4) − .4 = 4 ÷ .4 + √4 + √4 = 4^2 - (4 + 4) /4

15 = 44 ÷ 4 + 4 = 4 × 4 − 4 ÷ 4

16 = .4 × (44 − 4) = 4 × 4 × 4 ÷ 4 = 4 + 4 + 4 + 4 = √4 × √4 × √4 × √4

17 = 4 × 4 + 4 ÷ 4

18 = 44 × .4 + .4 = 4 × 4 + 4 ÷ √4 = 4^2 + (4 + 4) / 4

19 = 4! − 4 − (4 ÷ 4)  = 4^2 + 4 - 4 / 4

20 = 4 × (4 ÷ 4 + 4)
 
If you really want to be amazed, check out this site... Up to 100!
 
And even more amazing...  This pdf file has values (some are skipped) all the way up to 39,970!!!!
 
I really hope that you enjoyed this challenge today!  Be on the lookout for pictures from today this evening!
 
-Miss K  :)

Earth Day 2010

Hello Earthlings! 

I hope that you enjoyed today's special activities!  The teachers had a great time today too!  As you know, today is Earth Day.  It is the 40th anniversary fo Earth Day today!

If you are interested in helping the Earth, please check out EarthDay.org to learn more about the day and what you can do to participate in efforts and activities to improve the state of our planet!

Tonight's homework:  Enjoy the day and do something to today that makes the earth a little cleaner and nicer!  ( I will post what I did later tonight!)

My Earth Day activity was doing some work outside and growing some seeds to plan in my garden!  These are my cucumber plants below!

                                       

-Miss K  :)

Lego Click movie

PEMDAS

Today we started working with Order of Operations (OoO as I like to call it).

The Order is:

Parentheses- Do everything inside the parentheses first.  Follow the OoO inside the parentheses.

Exponents- Simplify (solve) the exponents. Be careful to ensure you do them properly.

Multiplication/Division- Working from left to right (like a normal sentence) complete the division and multiplication problems as you see them.

Addition/Subtraction- Working from left to right (like a normal sentence) complete the subtraction and addition problems as you see them.

Be sure to rewrite the problem after each step to ensure that you don't forget any parts.

Tonight's homework is Worksheet 2-8.  I will let you know in class which problems to do!  (There won't be many!)

Some OoO help below...  :)

From Mrs. Glosser's Math Activities:  Order of Operations

Tutorial and practice problems from Amby's Math Resources:  Tutorial and a "Pre-test"

Fun Brain fill in the blank problems:  Games

Interactive activitiy where you just click on the operations (no calculations): click activity  (make the window bigger to play!)

AWESOME game where you can make your own image play (mine below):  Millionaire game

Video help:

A song to help you remember the order: 



There are TONS of PEMDAS videos online.  I will report tonight or tomorrow with some of the best ones!

Have a great night and don't forget to wear Blue and Green tomorrow for Earth Day!

-Miss K  :)

Exponents again!

Nice job on last night's homework!  Tonight you should do the next exponent worksheet.  Tomorrow we will start working on Order of Operations!  Should be fun!!!

Have a great night everyone!

-Miss K  :)

ugh Monday!

Hello everyone!

Welcome back!  It was good to see everyone today and I look forward to enjoying the remaining 41 days of school with you!!!

Today we began to learn about exponents and tonight's homework is worksheet 2-4, all problems, both sides.  Be sure to use your notes if you have any questions, remember that your notes are on the back of the review sheet we did in class.

Here is a website with some extra notes and practice problems. 

Exponent Game!  And Another One! (try the basketball game)

And an even more fun asteroid game...

Enjoy playing!

-Miss K  :)

Excited to see you all tomorrow!

But I am pretty bummed about the early morning wake-up call!

See you soon!

-Miss K  :)

Monday or the weekend...

Today is Monday, but for some strange reason it doesn't feel like it...

I wonder why...

Oh yeah,

It's VACATION!!!!


-Miss K  :)

OH NO!!!!

I forgot to Blog on Friday!!!!  First one I have missed!  :(  SO SAD!

Anyway,

HAPPY VACATION!!!


See you next Monday!  Enjoy your time off and if you go away to some fun and exciting place, grab me a postcard for the wall!

Have fun!

-Miss K  :)

Geometry Part Two Test Today!

And we are done!!!!  Wahoo!  Tomorrow we will be working in different groups than usual.  Most of you will still come to my room, but the rest of your will go to Ms. Rao's room.  (But you will be working with me...)  I know, a little confusing.  You will learn where you are going tomorrow in homeroom!

Enjoy the sunny Thursday and celebrate that you have finished the test!  :)

-Miss K  :)

Formula Dance Party!!!

I had a fun time with all of you in class today!  We saw some fun moves as we did our formula dances!  Make sure that you take some time tonight to study for the test tomorrow.  Use the posts on the blog to help you and review your old work!  Good Luck!!!

Try this game...  http://www.bgfl.org/bgfl/custom/resources_ftp/client_ftp/ks2/maths/perimeter_and_area/index.html

-Miss K  :)

Study Guide Review

I know, I know, I know...  Today was a little dull, but I wanted to make sure that everyone knew the stuff from the study guides!  Tonight, you should be studying for the test on Thursday.  Use your study guides, review old hw, check out tutorials on the blog...  Whatever helps!

-Miss K  :)

Math is Beautiful!

Wow! What a cool presentation

I wish that I was HALF as cool and tech savvy as this teacher!!!!





-Miss K  :)

Test on Thursday!

Hello my little lovelies, this is your sunburned math teacher saying "Hello!"

In class today, we began working on the second of the two study guides that are due tomorrow.  Many people finished and most made major progress even if they didn't finish.  Keep up the good work!  We will correct and review those packets tomorrow and will get ready for the test on Thursday!  Study, Study my friends!!!

-Miss K  :)  (sunburned)

Happy Thiday AND April Fool's Day!

(A Thursday that feels like a Friday)

Good work today in class!  No Foolin'!

Today you got your first study guide which will be due on Tuesday.  Feel free to work on it over the weekend, but don't feel that you have to!  Enjoy the challenge sheets too!  I haven't decided on the reward yet, but it will be something!

Have a lovely weekend and enjoy the weather!  If you celebrate Easter, I hope that you enjoy the holiday!

-Miss K  :)

Area and Perimeter game/info site!

Just saw this and thought that you all might like it and learn from it!  Check it out!  The level 3 questions should be good for you to practice with, but check out the lower levels first.  :)

http://www.bgfl.org/bgfl/custom/resources_ftp/client_ftp/ks2/maths/perimeter_and_area/index.html

-Miss K  :)

Wring out Wednesday!

The rain has stopped!!!!  I have heard that many of you have had complications at your houses due to the yucky rain, and I hope that things get better soon!  Flooded basements and new ponds in yards are not fun!  Good Luck!

We worked on perimeter in class today, especially perimeters that included semi circles...  Everyone did a really nice job in class and virtually everyone finished during class.  If you didn't, tonight's homework is to complete the worksheet from class.  Tomorrow you will receive the one of the two study guides for next Thursday's test.

Thanks for your hard work today!  See you tomorrow!

-Miss K  :)

Finding Area and Perimeter of shapes in Photographs!