Archive for the ‘co – ordinates’ Category

September 16, 2022

As the weather improves – Spring in Melbourne, my city & Fall in USA & Autumn in the UK – it is an ideal time to take math outdoors. Here are some fab exercises for Middle School Math.

Lego Man soccer fields will vary in size depending on the height of each player picked by each student. This does your head in. It is really challenging maths!

Don’t forget to throw in Mathspig’s lame protractor jokes.

You’ll find full calculations at the Maths is Fun blog.

You’ll find more fab outdoor junior and middle school maths activities at the terrific Maths and Movement blog.

Some students will discover their co-ordinate point is not on the grid. Students should then work out that they will need a different scale for the y-axis. You can get more inspiration at the Stand Again blog.

October 23, 2018

Star Stuntman

Star Stuntman Monte Perin (pictured) has involved many films, including “Spider-Man,” “Star Trek, “Indiana Jones and the Kingdom of the Crystal Skull” and portraying Arnold Schwarzenegger’s stunt double in “Terminator 3: Rise of the Machines.”

Perhaps his most difficult stunt was landing his Harley in an open boxcar of a moving train for Disney’s 2008 Adam Sandler movie “Bedtime Stories”. In a career of over 25 years Perin has broken “almost everything” including both his arms, legs, knees, feet, ankles, several ribs, his back and his pelvis. See Confessions of a stuntman

Veteran stuntman Evel Knievel (1938 – 2007) was the pioneer of many stunt jumps. Here he is jumping 10 cars and 3 vans in 1973.

His injuries are legendary:

More Evel Knievel

Ramp Design

The angle of the kicker in ramp design can vary from 100 – 700 (See below)

Moto-X Ramp Jump Maths

The Problem?

If the ramp angle is too high, the stunt jumper also goes high, but doesn’t travel very far.

If the ramp angle is too low, the stunt jumper doesn’t stay in the air for very long and therefore doesn’t travel far. (see below0

The stunt jumper wants the OPTIMUM RAMP ANGLE.

METHOD 1: TRIGONOMETRY (cos we can)

As any bike nut knows increasing speed at ake off will increase jump distance.

Here is a graph from final gear for speed vs angle to jump 90m.

METHOD 2: MORE TRIGONOMETRY

METHOD 1 is approximate (See STEP 1 & STEP 2 above), but as METHOD 2 produces the same ans (See above), it is very useful.

You will find a thoroughly detailed calc for STUNT JUMP MATHS here:

And everything you ever wanted to know about PHYSICS OF STUNT JUMPS here.

August 19, 2014

Star Stuntmen

Star Stuntmen Monte Perin (pictured) has involved many films, including “Spider-Man,” “Star Trek, “Indiana Jones and the Kingdom of the Crystal Skull” and portraying Arnold Schwarzenegger’s stunt double in “Terminator 3: Rise of the Machines.”

Perhaps his most difficult stunt was landing his Harley in an open boxcar of a moving train for Disney’s 2008 Adam Sandler movie “Bedtime Stories”. In a career of over 25 years Perin has broken “almost everything” including both his arms, legs, knees, feet, ankles, several ribs, his back and his pelvis. See Confessions of a stuntman

Veteran stuntman Evel Knievel (1938 – 2007) was the pioneer of many stunt jumps. Here he is jumping 10 cars and 3 vans in 1973.

His injuries are legendary:

More Evel Knievel

Ramp Design

The angle of the kicker in ramp design can vary from 100 – 700 (See below)

Moto-X Ramp Jump Maths

As any bike nut knows increasing speed and angle of take off will increase jump distance.

Here is a graph from final gear for speed vs angle to jump 90m.

METHOD 1 is approximate (See STEP 1 & STEP 2 above), but as METHOD 2 produces the same ans (See above), it is very useful.

You will find a thoroughly detailed calc for STUNT JUMP MATHS here:

And everything you ever wanted to know about PHYSICS OF STUNT JUMPS here.

June 30, 2014

Lego Man soccer fields will vary in size depending on the height of each player picked by each student. This does your head in. It is really challenging maths!

Don’t forget to throw in Mathspig’s lame protractor jokes.

You’ll find full calculations at the Maths is Fun blog.

You’ll find more fab outdoor junior and middle school maths activities at the terrific Maths and Movement blog.

Some students will discover their co-ordinate point is not on the grid. Students should then work out that they will need a different scale for the y-axis. You can get more inspiration at the Stand Again blog.

The MATHS St GOOGLE MAPS Challenge

March 31, 2014

Reading Undiluted Hocus-Pocus, the autobiography of Martin Gardener, mathematician and magician (He wrote the puzzle column for scientific America for years), Mathspig was bemused to read that statistician William Feller lived on Random Road in Princeton.

Mathspig totally confused Google Maps by searching for so many Maths streets, roads, drives, lanes and crescents. Mr Google began to think Mathspig was stuck on Infinity Street or lost at Cartesian Place.

1. Paris

There are nearly 100 Parisian streets, squares, boulevards etc. named after mathematicians and not necessarily French mathematicians.

Street names include:

Rue Laplace

Rue Bernoulli

Rue Newton

There is, surprisingly, no street named after Fourier in Paris. But the street on which he was born in Auxerre has been renamed after this great mathematician.

.

2. Salisbury, South Australia

Surprisingly, the most ‘mathsy’ place Mathspig has discovered so far is an outer suburb of Adelaide, south Australia. Maths street names include:

Equation Rd

Parallell Ave

Chord Rd

Log Rd

Tangent Ave

Meridian Rd

Degree Rd

Decimal Rd

Latitude Rd

Co-ordinate RD

Fibonacci in Budafest
Not by name, by design.

3. New York, NY, USA

You can’t get lost in New York. It is a grid city.

Eg. 812 East 23rd St means No. 12, block 8 East of Broadway.

There is a Sine Rd in Auburn New York,

but it’s not this one. Pity!

Here is a fun Maths exercise to get Middle School students thinking about maths.

…………………………………………………………………………………

Ans. 1. Massey, NZ. 2. TRIANGLE. 3. State Ave 4. 0.7 miles, 1.1 km. 5. It has 3 right angles 6. 0.4 miles, 0.6 km. 7. No. The triangle is not a right angle triangle. 8. David W Carter Hight School) 9. Only 2 ARITHMETIC CR, Landon, SC and ARITHMETIC Dr, Salem, MA. 10. O.4 miles, 0.6 km.

July 6, 2012

Conformal Mapping

Ooops! Mathspig forgot to write Maths 4 Eva as a mirror image. Take 2:

…………………………………………………………….

It works!!!!!

April 11, 2012

July 4, 2011

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3 The Millennium Bridge UK

October 20, 2009

The Millennium Bridge a suspension footbridge across the Thames River in the heart of London costing \$Aus 32 million opened on 10th June 2000. It closed half an hour later as pedestrians were being knocked off their feet by the swaying bridge.

The Maths Error: Designing 3D Bridge in 2D

The three big mistakes, often catastrophic, in engineering are maths, materials or human error (ie. Hitting the pylon of a bridge with a ship. Tasman Bridge Collapse Hobart.. 1975). The Millennium Bridge was a maths problem. The bridge was designed in 2D. The engineers allowed for up and down movement but not sideways movement. Any kid running across suspension bridge in a playground knows that as you run it wobbles sideways! The bridge’s movements were caused by a ‘positive feedback’ phenomenon, known as Synchronous Lateral Excitation or wobbles. It cost \$Aus 9 million to dampen the bridge wobble.

A similar maths problem with suspension bridge design involves harmonics. If the wind keeps adding an extra nudge each time the bridge sways and the bridge has not been designed to dampen this effect it can break apart. (See Galloping Gertie. 1940 Bridge Tacoma Narrows Bridge Collapse. Watch for guy who saves dog from car. )

All I Wanna Do Is Sing about Co-ordinates to You!!!!!!

May 11, 2009

The first will link  you to the most dreadful song you are ever likely to hear about plotting co-ordinates on X and Y axes. The reason Mathspig is including this link is because it can be used by maths teachers as a threat.

If you do not work on your  maths problems involving co-ordinates I will sing this song. (Insert Maniacal Laugh Here)  Ha! Ha!

The second link is to a ‘rooolly’ cool FREE online game about co-oridinates…. It’s a bit like Battleships but involves space ships.

Spaceships Online Game:

#mce_temp_url#

Clip art of graph by Naomi Wright #mce_temp_url#