Archive for the ‘Junior School’ Category

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500,000 Hog Hits

April 27, 2013

Mathspig is sooooooo excited

about reaching:

5 etc hits

To celebrate 500,000 or 5×105 hog hits

 and to continue showing mathspiggies everywhere

that maths is fun

and relevant to all

Mathspig presents

The MATHEMATICAL

CABINET OF

500,000

CURIOSITIES!!!

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If you took a sample of

500,000 US teens

how many DO YOU THINK fall

asleep at school

at least once a week?

asleep

You will find amazing US teen stas here:

28% report falling asleep once a week

 500,000 x 28/100

= 140,000

Snoring to the left of you. Snoring to the right of you. You are not alone.

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happy-2nd-birthday
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What volume of coke is there in 500,000 cans?

coke shower

Coke can vol = 355 ml = 12 fl oz

500,000 x 355 = 177,500,000 ml

= 177, 500 l = 177.5 m3

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An average bath uses 150 litres water per bath.

How many bathtubs would 500,000 cans of coke fill?

177,500/150

= 1,183 baths in coke!!!

Hey mathpiggies, wanna bubble bath? You’d be tickled pink.

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In a crowd of 500,000 how many people

would have their birthday

on the same day as yours?

bd cake

There are 365 days in the year so the probability of anyone having their birthday on the same day as you (ignoring leap years) is:

1 in 365 or 1/365.

 

In a crowd of 500,000 the number of people who have a birthday on the same day as you is most likely:

500,000 x 1/365 = 1,370

That’s a lot of birthday cake!!

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4   How heavy is $500,000 dollars?

 money bag

Australia:

$ Aus

Wt Aus $1 coin = 9.0 g

If the bank gave a bank robber $500,000 in $1 coins it would weigh:

500,000 x 9.0 = 4,500,000 g

= 4,500 kg = 4.5 tonne

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UK:

UK [pound coin

.

Wt UK £1 coin = 9.5 g

500,000 x 9.5 = 4,750,000 g

= 4,750 kg = 4.75 tonne

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USA:

$ usa

Wt US $1 coin = 8.1 g

500,000 x 8.1 = 4,050,000 g

= 4,050 kg = 4.05 tonne

You will find all you need to know about the size and weight of US coins and notes here.

$500,000 in $1 notes would only weigh

11 lb or 5 kg.

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So, um, bank robbers do the maths!!!!!!!!!!!!!!!!!!

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5

How far would you walk in 500,000 steps?

We’ll assume you take a big step of 1m.

step

So 500,000 m = 500 km.

A comfortable walking rate is 5 km/hr.

How long would it take you to walk 500 km without a break?

500/5 = 100 hrs.

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6 049_tns6 bugatti-veyron-super-sports-480

The Bugatti Veyron Super Sport  hits a maximum speed of 267 mph (429 km/h).

How long would it take the Bugatti travelling at top speed – not including refueling time – to clock up 500,000 km?

500,000 /429  = 1165.5 hr

= 48.5 days

The speed of an average sized commercial passenger plane ≈ 500 mph 0r 800 kph or

≈ twice the speed of the Bugatti.

So it would take a passenger plane approx 24 days to travel 500,000 km.

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7 A&E

How long would it take you to count to 500,000?

kid counting

Assuming you count at the rate of 1 per second the time it would take is 500,000 seconds.

500,000/ 60 = 8333 mins = 833/60 hrs

= 13.88 hrs or 13 hrs 53 mins

Come on! You could do that mathspiggies!!!!!

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8gloom

 In a group of 500,000 US teens how many are serious cave dwellers or, to be more accurate, how many spend less than 3 hrs a week outdoors?

It is an amazing 30.1%.

500,000 x 30.1/100

= 150, 500 creatures of the gloom.

Come on you teen gloomagogs get outdoors. You need the sun. You need the Vitamin D.

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9m&ms

How many calories in 500,000 m&ms?

There are an amazing 400 million m&ms produced everyday in the US. One m&m weighs 0.7g.

And calories in 1 m&m =  3.4 cal

500,000 m&ms weigh:

500,000 x 0.7 = 350,000 g

= 350 kg

As 400 million or 8 x 500,000 m&ms are produced each day, that is 8 x350 kg or 2800 kg or 2.8 tonne.

Calories in 500,000 m&ms is:

500,000 x 3.4 = 1, 700, 000 Cal

m&m kid

As the average consumptionof chocolate in the US is 5.18 kg per year eating 500,000 m&ms would take:

ranking_of_consumption_chocolate_2007

350 kg/ 5.18 kg

= 67.6 years!!!!!!!!!!!!!!!!!!!!!!!!

You better get going!!!!!

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10ablink

Blink rates vary but the average blink rate in a laboratory setting for a human is 10 blinks per minute.

How long would it take for you to blink 500,000 times?

500,000/10 = 50,000 minutes

= 50,000/60 hrs = 833.3 hrs

= 833.3/24 = 34.7 days

= 34 days 17 hrs 17 mins

But don’t think it or you’ll go blink crazy!!!!

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5 Wrangle an Orderly Tangle

April 9, 2013

Maths-is-Awesome Activity

Wrangle an Orderly Tangle

Skill: Geometry, scale, ratio, measurement

Level: Junior & Middle School

100.1 Justin Meyer math-craft-monday-community-submissions-plus-make-orderly-tangle-triangles.w654

100.2 math-craft-monday-community-submissions-plus-make-orderly-tangle-triangles.w654

There are some wonderful projects at Mathscraft. But one students of any age will enjoy is creating an orderly tangle of triangles below. You can find a PDF template download for thise triangles @ the Mathscraft link above.

100.3 math-craft-monday-community-submissions-plus-make-orderly-tangle-triangles.w654

And this Orderly Tangle of 4 Triangles can be made on any scale from cute earrings to ORDERLY MONSTER TANGLE. Go wild mathspiggies.

math-craft-monday-community-submissions-plus-make-orderly-tangle-triangles.w654

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6 Bring on the Bucky Balls

April 9, 2013

Maths-is-Awesome Activity

Bring on the Bucky Balls

Skills: Geometry, polygons, measurement  …. and creativity.

Levels: Junior School & Middle School

In this activity students will create their own, preferably life-sized cardboard igloo. Igloo structures can be complicated or simple and in this project students must design and then build an igloo using a standard hexagon. Here are some inspiring designs.

Exif_JPEG_PICTURE

The first igloo was built using computer generated constructive geometry. It uses a basic – but distorted – hexagonal cardboard unit and was built by by the students of the Faculty of Architecture, University of Porto. You can see the construction method below. More info here.

99.2

The next cardboard igloo is based entirely on circles. It was designed by  students of ETH Zurich in Switzerland. More info here.

99.2 Cardboard Igloo

The following cardboard igloo based on triangles looks simple but has a very strong construction. More info here.

99.5 triangle igloo99.6 tirangle igloo construct

But the Granddaddy of the geometric or geodesic dome was Buckminster Fuller, who has been honoured by having a carbon-based nano-molecule named after him. They’re called Bucky Balls. If you look at the geodesic dome below you can see the HEXAGONAL PATTERN also visible int he Bucky Balls.

99.8 Buckminster Fuller99.9 Bucky balls

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7 Cardboard Labyrinth

April 9, 2013

Maths-is-Awesome Activity

Cardboard Labyrinth

Skills: Graphing, modelling …. mostly generates inspiration

Levels: Any

98.1 Carlos-Teixeira-Layered-Cardboard-Labyrinth-Installation-2-537x358

Brazilian architect Carlos Teixeira created an incredible labyrinth made entirely from layered recycled cardboard for the 29th International Biennial in Sao Paulo.

More info here.

Labyrinths are mysterious. And mathspiggies, look at that lovely parabola. Making a labyrinth on this =scale may be beyond the resources of a maths class … but then again some imagination and some maths skills and voila:

98.3 thumb_4787_img-3329

In phase one of the project 240 students at Kingsford Primary School in Aberdeen used interconnecting materials to design and build a labyrinth inspired by the story of Icarus.

More info here.

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9 Build Your Own Battleship

April 9, 2013

Maths-is-Awesome Activity

Build Your Own Battleship

Skills: geometry, measuring, angles, construction and engineering

Years: Middle School

You will find your inspiration here:

2009_cardbdcanoe_Neil_Schiller

Different maths classes build their own cardboard boats. Call for volunteers  and then stage a race in a local pool.

Heaps of fun.

Good PR for maths. And some schools do it already.

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10 DYI Construction Set

April 8, 2013

Maths is Awesome Activity

DYI Construction Set

Skills: Geometry, measurement, symmetry, area, angles.

Year Level: Year 7

You will find more info here.

95 Happy Hooligans Construction Set

This idea is gobsmacking. We live in a consumer world so the thought of making your own construction set is foreign to us.

Building your own cardboard construction set involves:

* Lots of maths

and if

* Every pupil made 20 construction pieces now you can make something huge for a maths display. eg. giant parabola, π, √2

Or

think really BIG.

95.4 zimoun_zweifel_200_motors_2000_cardboard_elements_01_800x450px

More info here at Building Blogspot.

 

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12. Maths Warriors

April 8, 2013

The Maths-is-Awesome Activity:

Maths Warriors

Skills:Geometry, measurement, cylinders, area, symmetry and creativity.  

Year Level: Year 4 – whatever

93 box wars 4

Ask students to build their own cardboard armour and helmet. Give prizes in the category of Scariest, most Mathematically-Complex, Star Wars Potential, Most Historical, Most Creative and any other category that crops up. You can source cardboard from your nearest Self-Storage Warehouse.

93 box wars 5

Mathspig was at Womadelaide Music Festival 2013 and saw the Box Wars at work. The Box Wars guys, Joss, Josh and Hoss, started in Melbourne and now travel to Music Festivals around Australia. Boxwars builds sculptures, armour, props and sets and airplanes , tanks, cannons and the rest.

They stage battles of destruction … but destruction isn’t always the outcome.

93 box wars 3

If you want to interest kids especially boys 8 – 12 years of age in maths, get them building armour.

Mathspig saw dozens of them at WOMAD and they so loved their armour they wouldn’t take it off in 39Cº.

93 Fantasy armor pattern

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Sometimes it is just lots and lots of fun. Here is a recently staged BOX WARS in Canberra. You only need watch a few minutes of the video to get the idea.

Box Wars Canberra

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1. Cool Maths Video

January 15, 2013

Sometimes the muses look down upon Middle School Maths teachers and say ‘Gadzooks! …

…. those courageous purveyors of The mathematiques need a little help.

Shazam!’

one direction

And here it is.

ONE Direction … who Mathspig foolishly kept calling ONe Dimesnsion in a talk to 14 year olds last year … AHHHH!!!

Getting confused over rock star names is just, soooooo pathetic, like mum and dad.

But do One Direction know their maths? What do you think? Does this video make sense?

Or are they just number Tragics?

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Weird Maths Activity

Play the video at the beginning of the class. Set the days work. Then at the end of the class, students have to sing their answers … clicking their fingers … One Direction style ….

One Direction Math Joke:

one direction in math

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2. MoMaths: Manhattan’s Museum of Mathematics

January 15, 2013

Mathspig is excited. O wonder. O rapture. O Mathematical magic.

A museum of mathematics has just opened in New York, on Manhattan no less.

George Hart with his math art and students at MOMATH

George Hart with his math art and students at MOMATH

Here is a quote from New Scientist:  New Scientist 10 Dec 2012

The founders of the Museum of Mathematics (MoMath) know they have a fight on their hands, given the pervasive idea that the subject is boring, hard and scary. But they are determined to give mathematics a makeover, with exhibits that express an unselfconscious, giddy joy in exploring the world of numbers and forms.

“We want to show a different side of mathematics,” says museum co-founder Cindy Lawrence. “Our goal is to get kids excited, and show them the math they’re doing in school is just one tree in a whole huge forest.”

It looks like fun, fun, fun.

Mathspig will go all the way from Australia later in the year just to wallow mathspiggy-style in all this fun maths.

2 menger sponge momaths

Menger Sponge Cycle

3 MoMath-rendering-upper-level

View Inside MOMATH math museum NY

4 momaths 2

Having fun at MOMATH

Weird Math ACTIVITY

Here is a link to a PDF file of some fantastic shapes that fold two ways like TRANSFORMERS.

You can make these fantastic shapes by Joseph O’Rouke, Olin Professor of Computer Science @ Smith College MA if you go here.

7 Jospeph O'Rourke book

 

8 JOseph O'Rourke

If you really are curious as to what research mathematicans do, go here. It’s really interesting stuff.

SNACK TIME

While you are in the cafe you better do something mathsy. Here is the way to cut a bagel for the maximum spread of cream cheese.

 9 math bagel

How to maximise cream cheese spread.

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5. ARty Maths

January 15, 2013

Wow! Wow! Mathspiggies there is so much maths art it is mind bog-alog-alogaling.

So here are some examples and links to fab maths art plus a link to a fab MOMATH math art project with playing cards and more.

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3D- hilbert curve

Here is a 2D Hilbert Curve

2D HIlbert Curve

2D HIlbert Curve

 

Here is a dot graph you can use to draw a 2D Hilbert Curve.

2 dot graph paper

Any graph paper will do.

3  3D-hilbert-chaim

Here is a 3D Hilbert Curve you can build yourself. with plumbing supplies.

ore information @ Makezine.

 

2What do mathematicians do when they get together?

Well, apparently they knit. That is according to the mathematical knitting network

4 math knit book

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Seirpinski Shawl by Jake Wildstrom

Seirpinski Shawl by Jake Wildstrom

6 crochet fractal

Here is an awesome crochet fractal pattern.

3 Daina Taimina is Assoc Prof Maths at Cornell Uni.

 

Here crochet work especially of coral reefs is stunning. If you get a bit tangled knitting a scarf, you will appreciate these 3D sculptures.

7 crocheting_adventures  Daina Taimina

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8 math crochet art

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8.1 daina Taimna's crocheted hyperbolic plane

4 George Hart is a 3D math artist.

Here are just some of the works he created for the opening dinner at MOMATH NY in December 2012.

9 momath-centerpiece-01 George Hart

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10 momath-centerpiece-10 GEorge Hart Art

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11 momath-centerpiece-23 GEorge Hart Art

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You will find more of George Hart’s amaaaaaazing sculptures here.

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Weird Math Activity

George hart 12 card star

3D Maths Art Project:

Here are the instructions from George Hart on the MOMATH website so you too make your very own 12 Star Card Puzzle/Sculpture below.

12 momath card sculpture 2

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