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mathmajik:

Buying for the love of Math? - Logos with golden ratio

Here are some of the most popular brands which have used the golden ratio (φ) to induce the perfect harmony and balance in their logos.

National Geographic
Remember the yellow square in the National Geographic logo? Have you ever wondered why that simple logo appears to be so appealing? The answer is, as you might know, the Golden Ratio! The length and width of the square have a ratio of 1.61. It is quite fitting for an organization with a motto of “inspiring people to care about the planet” to have a logo based on the golden rectangle.

Pepsi
The new logo of Pepsi has been much simpler and effective, characterized by spare, pure design. It looks intriguing and beautiful. Almost like a laughing emoticon in red and blue. But did you know that the underlying backbone of the Pepsi logo follows the golden ratio? The Pepsi brand is created by intersecting circles with a set proportion to each other. And, the proportion: Golden Ratio (φ).

Apple
Apple is one of those very few companies that do not have the company name in their logo. Yet, the Apple logo is one of the most recognized corporate symbols in the world. The logo is perfectly balanced, and the outlines that map the logo are circles with diameters proportionate to the Fibonacci series. Did Rob Janoff really considered the Fibonacci series while designing it, or is it a coincidence? Well, somebody needs to ask Mr. Janoff. Interestingly, in a different context, in an interview, Rob Janoff said, “… and years later you find out supposedly why you did certain things. And, they are all BS. It’s a wonderful urban legend.”

iCloud
Another product from Apple, and again a masterpiece of design. The ripples on the cloud are made up of circles whose diameters are proportional to the you-know-what number. Also the containing rectangle, as shown below, is a golden rectangle. In fact, most of the Apple products, ranging from ipods to iPhone are golden rectangles. These amazing Apple designers!

BP
BP is one of the world’s leading international oil and gas companies. They launched their new logo in 2000. What appears to be an attractive logo, however, turns out to be formed of concentric circles, again proportional to the Fibonacci sequence. Is it a mere co-incidence or a planned execution?

Toyota
The logo of Toyota consists of three ovals. “The two intersecting ellipses are intended to represent the customer and the product… and the importance of that relationship”, according to an e-mail from Mike Michels, VP of Communication at Toyota Motor Sales USA, Inc. “The outer ring represents the world and the global nature of our business.” On a closer look one can easily find a grid based on φ in their logo. The phi-grid is formed by gridlines at certain separation – the separations being in the ratio of the golden ratio φ.

From: http://www.banskt.com

(via spatialtopiary)

11 notes

PE = The Cheap and Lazy Teacher’s Gym of Choice

I am too tired/lazy to exercise before or after work, so I asked one of the PE teachers if it would be okay if I did PE with the kids during my prep period. She was all for it, so I went today for the first time.

I loved it.

The core exercises challenged me, the PE teachers were very kind and encouraging, and I felt like I got a chance to connect a little with the kids outside of math class.

My goal is to go at least three times a week. Hopefully this will give me some accountability. I’m sure that the kids will keep asking me each day if I’m going to go to PE. I hope I can keep up!

Filed under education fit teacher

30,034 notes

elisetheviking:

School has started or will very soon so what would be better to do than to gather some great resources for a better school year?
Evernote - keep your research at one place
Khan Academy - over 4,200 educational videos
Mathaway - helps you solve almost every math problem
Cliffnotes - read and prep for school work
Studious - great way to keep track of schedule
iFormulas - references for mathematical formulas
Pocket - save studies and articles much easier
Science glossary - for those hard science words
Studyblue - online flashcards for your next test
Any.do - daily planner 
Dropbox - don’t rely on your computer alone, make sure your notes and papers are safely uploaded online, just in case.
Feed.ly  - gather all your fav websites for research or whatever in one place - I love this myself!
Scribd - online library
Self Control - we all know self control during work or school isn’t always around
TED - lots of good presentation by interesting people
Chegg - don’t have all the money for new text books? Chegg lets you rent many text books for much less than it costs to buy
Duolingo - learning a new language? Then I’ll recommend this one
Mint.com - make sure you’ve got your money straight 
Alarmy - hard to get up in the morning? Well, this alarm makes you take a picture of your sink to turn it off!
Sworkit - don’t forget that exercise will make it easier to concentrate! 
Don’t forget to look at my 27 websites for a new year - where you can find lots of other resources for health, fitness, school/work and div when starting a new year(school year too)
I’ve also got a post called 53 posts for students which contains nutrition and fitness posts especially for students!

elisetheviking:

School has started or will very soon so what would be better to do than to gather some great resources for a better school year?

  1. Evernote - keep your research at one place
  2. Khan Academy - over 4,200 educational videos
  3. Mathaway - helps you solve almost every math problem
  4. Cliffnotes - read and prep for school work
  5. Studious - great way to keep track of schedule
  6. iFormulas - references for mathematical formulas
  7. Pocket - save studies and articles much easier
  8. Science glossary - for those hard science words
  9. Studyblue - online flashcards for your next test
  10. Any.do - daily planner 
  11. Dropbox - don’t rely on your computer alone, make sure your notes and papers are safely uploaded online, just in case.
  12. Feed.ly  - gather all your fav websites for research or whatever in one place - I love this myself!
  13. Scribd - online library
  14. Self Control - we all know self control during work or school isn’t always around
  15. TED - lots of good presentation by interesting people
  16. Chegg - don’t have all the money for new text books? Chegg lets you rent many text books for much less than it costs to buy
  17. Duolingo - learning a new language? Then I’ll recommend this one
  18. Mint.com - make sure you’ve got your money straight 
  19. Alarmy - hard to get up in the morning? Well, this alarm makes you take a picture of your sink to turn it off!
  20. Sworkit - don’t forget that exercise will make it easier to concentrate! 

Don’t forget to look at my 27 websites for a new year - where you can find lots of other resources for health, fitness, school/work and div when starting a new year(school year too)

I’ve also got a post called 53 posts for students which contains nutrition and fitness posts especially for students!

(via positivelypersistentteach)

19 notes

mathsangel:

chenzec98:

>_<

Never use algebra now you’re out of school? Here’s your chance.

Think of a number.

I shall call him x, and he shall be mine, and he shall be my… wait

Double it.

x*2 = 2x

Add six.

2x +6

Halve it.

(2x +6)/2 = x +3

Subtract the original number.

x +3 -x = 3

mathsangel:

chenzec98:

>_<

Never use algebra now you’re out of school? Here’s your chance.

Think of a number.

I shall call him x, and he shall be mine, and he shall be my… wait

Double it.

x*2 = 2x

Add six.

2x +6

Halve it.

(2x +6)/2 = x +3

Subtract the original number.

x +3 -x = 3

2 notes

Thanks, wwbioteach! This is my 10th year of teaching 7th grade math, so I&#8217;ve had a chance to collect/try out some of this stuff over the years. My room definitely did not look like this the first few years of teaching; it&#8217;s all a work in progress.

Second, I hardly ever put student work up past that first assignment.  I find it difficult to get through the math concepts/practice in the given time, let alone do projects.  That&#8217;s something I need to work on.  For the most part, my room is a &#8220;set it and forget it&#8221; type of decor.

Shout out to rachh for helping me put up all the black paper! It reduced a day or two of work down to one morning when we did it together.  Friends always make life easier. =)

And thanks to everyone else for the positive feedback!  I still want to see your rooms and ideas!  Tag me in those, please?

Thanks, wwbioteach! This is my 10th year of teaching 7th grade math, so I’ve had a chance to collect/try out some of this stuff over the years. My room definitely did not look like this the first few years of teaching; it’s all a work in progress.

Second, I hardly ever put student work up past that first assignment. I find it difficult to get through the math concepts/practice in the given time, let alone do projects. That’s something I need to work on. For the most part, my room is a “set it and forget it” type of decor.

Shout out to rachh for helping me put up all the black paper! It reduced a day or two of work down to one morning when we did it together. Friends always make life easier. =)

And thanks to everyone else for the positive feedback! I still want to see your rooms and ideas! Tag me in those, please?

Filed under education classroom classroom decor math

37 notes

Classroom Pictures and Ideas

I’d be interested to see your classrooms—layouts, bulletin boards, and whatever cool ideas you have!  Pictures of mine are after the break.

I teach 7th grade math.  I have tried to gamify my classroom by using Classcraft (point management game system) and a couple of other ideas that will be pictured later.  It’s a little busy…but hopefully it’s stuff that encourages kids to work hard and learn.

image

Mini panorama of my classroom.  6 groups of 6 desks.  I put painters tape on the floor so that kids know where to move desks.  Right now, it’s in “normal mode.”  When kids take a quiz/test, they split the desks into separate rows; we call that “battle mode.”

image

My makeshift growth mindset “poster” for the door.  I found that picture online, and I made up the other part with growth mindset beliefs written on it.

image

Front of the classroom.  The statement across the top (“We are the Class of 2020.  We are game changers, earth shakers, and history makers, and we’re going to change the world.”) is our class motto, and I make the kids say that to start each class period.  They also choral respond/read the objectives on the right.

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Found these vinyl chalk talk bubbles at Target.  I’m going to write the essential questions for the lesson here.  I just started having the kids choral read these with the objectives today.

image

Absent work wall.  My student TA writes the homework on the calendar for me each day; in the past, I’ve just had one of my students do it at the beginning of the day.

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Classroom expectations.  I had my kids write all the rules they could think of that they’ve had to follow in school.  Then I told them that instead of memorizing a bunch of rules for every teacher and every situation, they should follow three basic standards:  be respectful, be responsible, and be positive.  We sorted out the rules that they came up with at the beginning into these three categories.  All the other rules they can ever think of will probably fit in one or more of these categories.  I said they can self-check their behavior if they’re not sure if their actions are okay by asking, “Am I being respectful?”  “Am I being responsible?”  “Am I being positive?”

image

Tech expectations near the computers in the back.

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The “Why Should I Get an Education?” wall.  This is stuff I’ve collected over the years to support reasons for an education:  to earn more money, to have more options, to have more power (have knowledge so that people don’t take advantage of you), and more helpful (understand that people are hurting and need your help).  I’m not a fan of the layout; I wasn’t sure how much space something else would take, so I ended up putting too much in one space.  I’ll do a better job next year.

image

The Kingdom Map.  Each little square represents a skill/lesson in the math book; the large papers represent the chapter.  The first chapter destination is Proportion Palace.  Since I’m using so many squares in my room, I went with a Minecraft theme and found pictures online that would fit with the names I came up with.  I will use this as a data wall as well, where I will write the percentage of students who pass each lesson quiz.

Below the Kingdom Map are student Mastery Profiles.  Every time they pass a quiz or test, they get a “badge” (a sticker) that they put on their Mastery Profile.  The cover is the student’s “My Life of Numbers” poster, where they had to come up with 8 facts about themselves that involve numbers.  I made them rewrite the number as an expression with 1 or 2 operations, depending on the period.  They had to draw a picture to accompany each fact.

Another component of my classroom gamification is the Noah and Mozzie wall.  (Noah and Mozzie are my sister’s son and dog, respectively.)  The kids are saving Noah and Mozzie from the dark forces and building a new world for them.  Every time they pass a quiz or a test, not only do they get a badge on their personal Mastery Profile, but they also get a little square with their name on it.  These squares build a part of the Noah and Mozzie story.  Escaping the dark forces is the first task.  They will later have to build a new world for Noah and Mozzie (trees, flowers, and a house, I think).  Every time they complete a task, we will celebrate by doing a Change It Up Wednesday—a minimum day where we will do something other than the regular lesson.

Character wall.

"Math Is Everywhere" wall, along with the 6 + 1 Traits of Writing.  "I know it’s a math class, but you still need to practice communication.  It’s not enough to just know stuff; you need to be able to communicate your ideas.  You could be the smartest person in the room and have the cure for cancer in your head…but it does no good to anyone else if you can’t communicate how to get the cure to other people."

My mini math library.

Self-explanatory.  =)

That’s my classroom!  I’d love to see pictures and hear ideas about yours!

Filed under education classroom classroom decor gamification math