Posts Tagged ‘Lego Maths’

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Lego Mania 1: Going Loopy

May 29, 2012

As part of our Mid-year/ End of year madness here are some crazy things to do with Lego.

The idea with these projects is to challenge you, my pretties, by giving you  the Lego, the time and the inspiration so you can go, go, go for it and, maybe even, surprise yourself.

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1. Going  Loopy

Can you make something round from oblong Lego blocks?

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You will find more awesome Lego Loops at Discovery News and more cool curves and loops @ Sanders Brick Bending Blog

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2. Going Bloomin’ Crazy

Lego constructions can move. Here is The Blossoming Lotus built by the Brickengineer. If you click on this link you can see the Lotus blossom. Cool! Can you make a Lego flower bloom, mathspigs?

But if you really want to see some Lego flowers bloomin’ get yourself down to the Reiman Gardens @ Iowa State University. They have the Lego flowers, the Lego birds, the Lego butterflies, a Lego Zoo. Perhaps, mathspigs, your class could put your heads together and make a Lego garden or a Lego Zoo.

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3. Going Square

Lego artist Nathan Sawaya’s Lego sculptures are mind boggling. You can find the following sculptures @ sayhi-todesign blog spotto or @ Nathan’s own blog, The Art of the Brick. Maybe, mathspigs, you could build a geometric sculpture out of Lego blocks.

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Or get inspired by Nathan Sawaya’s other sculptures

Wow! That’s just how Mathspig feels when I’m waking up in the morning.


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MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig …………………………………………………. with Kerry Cue

March 16, 2012


Helloooooo Mathspig Sweeties,

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Talking about sweeties. Easter is upon us and we have some delicious maths for you.

Yes! You get to eat the egg … after you do the maths.

Don’t forget we have some lovely egg graphs @ Easter Egg Maths

Do we care if we get egg on our faces. Noooooo!

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Cheerio

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Mathspig

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PS: Watch out for Rolf the killer rabbit. He’s out there somewhere!

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MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig …………………………………………………. with Kerry Cue

February 23, 2012

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Helloooo Little Maths Sweeties,…………………………

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Soooo many of you lerved my Lego posts, I just had to find some more fun, fun, fun with Lego Maths.

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So here it is:

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THE 2012 LEGO OLYMPICS.

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Watch out for:

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Get Ready for the Lego Olympics

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Lego Olympics Flags

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The Lego Olympic Opening Ceremony

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The Lego Triathlon

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The Lego Olympics Closing Ceremony

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Cheerio

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Mathspig

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PS: Don’t forget you too can make yourself into a really cool Lego person @ ReasonablyClever

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Lego Olympic Opening Ceremony

February 23, 2012

The Lego Olympics must begin with a

triumphant Trumpet Fanfare.


Here is the US Army Herald Trumpets playing a rousing fanfare:

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Marching Maths

Three nations are marching one after the other:

Pajamaramas (PJ Boy flag bearer),

The Crytomanians (Mummy’s Boy flag bearer)

and the Berserkers (Olag the Viking flag bearer).

But there is a problem.

They march around the Olympic Track, which is a 400m circuit (inside track).

Lego Olympic Track Circuit = 400/50 = 8 m

But the Pajamaramas, the Cryptomanians and the Beseerkers all walk at different speed. They could just bump into one another and end up in a big heap. So how much time should the officials allow between each country so they don’t collide on the track.

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Speed S1

PJ Boy is a really slow walker

Real life Really Slow walk = 3.0 kph = 3000 m/hr

……………………………………………….= 3000/60 = 50 m/min

Lego really slow walk=   50/50 = 1 m/min

Speed PJ Boy = S1 = 1m/min

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Speed S 2

Mummy’s Boy is a slow walker

Real Life Slow walk = 4.5 kph = 4500 m/hr

………………………………….  = 4500/60 = 75 m/min

Lego slow walk = 75/50 = 1.5 m/min

Speed Mummy’s Boy = S 2  = 1.5 m/min

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Speed S

Olag is a fast walker

Real life fast walk = 6 kph = 6000 m/hr

……………………………… = 6000/60 = 100 m/min

Lego really slow walk = 100/50 = 2 m/min

Speed Olag = S= 2m/min

 

Lego Track Circuit = 8m

Time on circuit (T) in mins:

T = d/S

T = 8.0 /S

The time each nation takes to finish marching around the track will be:

T1 = 8.0/S1  = 8.0/1  = 8 mins

T2 = 8.0/S2 = 8.0/1.5 = 5.3333 = 5 mins 20 secs

T3 = 8.0/S3 = 8.0/2.0 = 4 mins

If you started them all at once there’d be a real pile up.

 

March Time with 1 min gap between groups:

The Enforcer from the Constellation Obeymia will make sure each marching group leaves exactly on time. He will set the clock ticking at 0 mins then enforce a one minute gap between each group.

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Look at the times each nation finishes marching around the track now:

PJ Boy…………………………………………………………………………..

and the Pajamaramas ……………………………………………..8 mins,

Mummy’s Boy and the Crytomanians ………………. 6 mins 20 secs

and Olag and The Beserkers start 2 minutes after PJ Boy and Co and finish at …………………………………. 6 mins.

They will still collide on the track!!!!!

Here are the results for different gap times:

 

 

Nation

March Time

Gap time

0 min

March Time

Gap Time

 1 min

March Time

Gap Time

 2 min

March Time

Gap Time

 3 min

PJ Boy + the Pajamaramas

8

8

8

8

Mummy’s Boy and the Crytomanians

5mins 20 secs

6 mins 20 secs

7mins 20 secs

8 mins 20 secs

Olag and The Beserkers

4

6

8

10

The 3 minute gap works!!!

I think we need a round of applause:

Why not ALGEBRA?

If you had to do this calculation for the entire 205 nations at the 2012 Olympic Games, you can see that your brain might explode.

Da-DA! We can use algebra.

Here is a formulae:

T = d/S + ntg

where

T = time (mins)

from beginning of ceremony.

d= track circuit distance = 8 m

S = speed m/min

n = nation march order number = 0,1,2,3,etc

tg = time gap between nations (mins) = 1, 2, 3, 4 etc    

TRY IT, mathspigs!!!!!

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Lego Olympics Triathlon

February 23, 2012

This is the Lego Triathlon.

And, mathspiggies, your Lego Man/girl/alien has made it into the finals. 

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EQUIPMENT: Your Lego Man, girl, alien, your brain, a calculator & one dice.

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In the Olympic Triathlon contestants:

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Swim 1.5 km = 1,500 m

Cycle 40 km = 40,000 m

Run 10 km = 10, 000 m

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In a Lego Olympic Triathlon little Lego men, girls, aliens have to:

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Swim 1,500/50 = 30m

Cycle 40,000/50 = 800m

Run  10,000/50 = 200m

But each contestant will be better at some section than another.

Your Lego man, girl, alien replaces one of the following contestants. Transfer their number and times to your column.


Now calculate the Total Times for each contestant.

THEN roll the dice.

3. Disqualified because your coach gave you an alien Smoosnot drink with banned drugs by mistake.

5. Disqualified because a Groppanator from the Urgastor Galaxy ran out of the crowd just before the finish line and hugged you with his 6 arms.

Triathlete

30 m Swim

Speed

+

Time

800m Cycle

Speed

+

Time

200m run

Speed

+

Time

Total

Time

mins

Roll

3 or 5

Disqualified

1

Mummy’s Boy from Crytomania

40 m/hr

……………

400 m/hr

……………

250m/hr

……………

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2

PJ Boy

from Pajamarama

30 m/hr

……………

200 m/hr

……………

500 m/hr

……………

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3

Olag

from

Beserk

40 m/hr

……………

200 m/hr

……………

500 m/hr

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4

Dead-Eye Doc

from

AyeAwArghia

60 m/hr

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400 m/hr

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450 m/hr

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5

Hula Lula from

Grinmania

50 m/hr

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400 m/hr

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500 m/hr

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6

Mr Boopy from

Bozonia

30 m/hr

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600 m/hr

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200 m/hr

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7

Gorilla Suit Guy

from

Halloweenotopia

50 m/hr

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500 m/hr

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300 m/hr

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8

BioHaz from

Toxorama

60 m/hr

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500 m/hr

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400 m/hr

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from

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+

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+

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Who won?

You can work it out mathspigs.

Total Times are published @ the end of The Lego Olympics Closing Ceremony.

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Little Lego Men Need lotsa Lego Maths

February 1, 2012

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There is a lot of maths in Lego, mathspigs, but rather than smash up bridges not to mention toes with 40 kg weights, here are some other cool ways to do LEGO MATHS.

You can make yourself into a Lego Figure like Mathspig, but first ….

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Ideally, students would measure their own Lego Man. Otherwise, use the dimensions shown and fill in the chart. 

To calculate your Lego man conversion factor:

   Lego Conversion Factor =   Your Height mm/ Lego Man height mm

eg. Mathspig Height = 172 cm

Mathspig Lego Conversion = 1720/ 38.2 =  44.6

A full size Lego Mathspig is 172 cm, therefore a full sized lego Mathspigs legs would be:

Mathspig Lego Legs = 14.0 x 44.6 = 624.4 mm = 62.4 cm

Dimensions

mm

Lego Man Dimensions

mm

Your Real Dimensions

mm

Your Lego Man Dimension

mm

Height

(Not including the round thing

ie. the stub)

38.6

Head Height

Top to chin

8.5

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Neck

1.2

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Torso

Shoulder to hip

(Swivel pt)

14.9

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Leg Length

Hip to Floor

14.0

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Now you could draw or photo shop a real picture of yourself to these dimensions or – this is so cool – just make a Lego Man Pic of yourself @ Reasonably Clever