Archive for the ‘graphs’ Category

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Dangerous Maths 1:Young drunk dead

August 26, 2015

Mathspig Dangerous Maths

Statistics for alcohol consumption are tricky. Binge drinking gets confused with heavy drinking. If you want to stay young go to the UK. They think anyone under 35 is a youth! Some stats separate Male and Female drinking habits. Some don’t. And legal drinking ages vary. Canada is one crazy place. It has different legal drinking ages in different parts of the country.

Mathspig 1 Canada Legal drinking age

Legal Drinking Age:

Picture 11

Picture 7

The Maths

What we are working on here is reading maths data. No lectures. The numbers speak for themselves. Mathspig 3 Binge Drinking UK girls

Graph source here

The Challenge

Find the following information from data below. Percentage of Year 12 students or 18 year olds who binge drink in each country below.

1. Australia

Mathspig 4 Binge Drinking Aust

Graph Source here.

2. Canada

Mathspig 5 Heavy Drinking Canada Graph

Graph Source here.

3. UK

Mathspig 6 Binge drinking UK 2

Graph Source here

4. USA

Mathspig 7 Binge-Drinking-on-College-Campuses USA 4

Graph source here

Answers- Young drunk dead

Use these % to create a bar graph comparing countries. (Answer below)

Mathspig 8 18 year olds who binge drink

Graph drawn using Create a Graph website

Picture 6

Alcohol related death stats over lap other stats including death involving cars, motorcycles, bicycles, skateboards, jet skis, quad bikes, drowning, diving, stairs, supermarket trolleys and even high heels. Mathspig 2 drunk pics

photo source Daily Mail

Alcohol Related Youth Death Statistics

UK1: 314

Australia2: 260

Canada3: 3,500

USA4: 4,358

  1. 15-34 years for 2011. Source
  1. 15-24 years average 1990-2002 Source
  1. Under 18 years of age. 1996 It is believed that as many as 83 percent of teenagers in Canada consume alcohol. Back in 1996, underage drinking was responsible for 3,500 deaths and 2,000,000 injuries. A 2002 survey found that 20 percent of eight graders had consumed alcohol within the previous month. Source
  1. 4,358 people under age 21 die each year from alcohol-related car crashes, homicides, suicides, alcohol poisoning, and other injuries such as falls, burns, and drowning. Source

Mathspig 9 Youth alcohol related deaths These countries have different populations (See post below). USA population is 15 times Australia’s. 260 x 15 = 3,900. So the Aussie and US stats are in the same ball park even though the stats have been collected for different age ranges. But look at Canada. The USA population is about 9 times Canada’s. 4,358 ÷ 9 = 484 deaths. This  death statistic for Canada is 10 times larger than the USA statistic per head of population. Meanwhile, the population of Canada is 1 1/2 or 1.5 times Australia’s. 260 x 1.5 = 390. Once again, the Canadian statistic is out by a factor of 10. What’s going on here?

The Bar Where You’re Too Afraid to Get Smashed

Mathspig is a party pig. But why does anyone drink themselves senseless? Many reasons, but one is they’re bored. Now here is a bar in Mathspig’s home town, Melbourne, where you better stay sober. Mathspig 10 Trapt Bar ans Escape Rooms Break out of prison in Trapt Bar. You’re in prison, you’re innocent, and no one believes you. You plot an escape with the other prisoners–because unless you break free soon, you’ll all face an unspeakable death (this prison is off the charts). At Trapt Bar and Escape Rooms, you and your teammates have 45 minutes to find clues, solve puzzles and escape before…well…let’s spare you the gruesome details. Picture 10

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Maths Mystery Box 4: FUNNY THAT

March 3, 2015

Maths Mystery BOX 4

1 BArt Simpson Death Wish

 Quadratic Equation  joke MathspigGraffiti pic found @ imfunny blog.

Maths is full-on full of humour.

Can you die laughing, sir?

Try these weird death stats.

Or, how about some maths jokes?

Or, how about a Maths Scavenger hunt.

Funny that!

Many maths teachers come up with great ideas so middle school students have fun with maths. Here are a few:

Human Graphs, Charts and Diagrams

Ellies Active Maths

2 line-graph   Ellie's graphs activemaths

 

How about a human bar graph?

3 human bar graph stenhouse  pinterest

Or a student linear graph?

4 human graph  bigpic     thecolab

Find more @ the colab

 

Or explore geometry through, well, dance?

6 Geometry dance

These students are showing supplementary angles

7 Geometry dance

These students are acting out the concept of complementary angles.

Tricia Appel; Middle School Math

Or, how about the geometry of yoga?

Mathspig groaning pig pose

Can you get your leg or knee to make a perfect right angle?

Or how about a Venn Diagram using Hola Hoops?

9 student venn diag

More info at Howard’s Happy Campers

Or you can measure length using bodies.

How many Smoots long is your football field?

Another Smoot, Oliver Smoot, is used to measure the length of the bridge in 1962.

Oliver Smoot is used as a unit of measure in 1962. 

Or try measuring the area of your school hallway in bodies!!!!

10 y4 rainbow school bradford uk

More info @ Rainbow school, Bradford, UK.

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Maths Mystery Box 8: JUNK FOOD

February 16, 2015
Maths Mystery BOX 8

Middle School Maths Challenge

Make a 3D graph or Make Like a Pringle

pic 0 pringles hyperbolic paraboloid

Pringles are mathematically yummy because each Pringle is a little 3D graph called a Hyperbolic Paraboloid or – YeeHa! – it’s a saddle.. You will find information about Hyperbolic Paraboloid at the fab Math Jokes 4 Mathy Folks blog  here and here.

You may have drawn 2D graphs. Bar graphs, Pie Charts and Linear Graphs.

A linear graph will have the equation

y = mx + c

You might have looked at quadratic equations such as the parabola:

Y = ax2 + bx + c

So what could a 3D graph of a saddle look like? Well, you have to add a z so that you have an x-axis, y-axis and a z-axis.

pic 1 eqn

pic 2 graph_hyperbolic_paraboloid    mathinsight

More info here.

The BIG challenge

Can you make a hyperbolic paraboloid? The most mathematically amazing feature of the hyperbolic paraboloid is that it can be constructed from straight lines.

Here’s How:

1. Cardboard and wool:

You need:

* cereal box

*wool 

*ruler & scissors.

Instructions:

Cut a 15cm x 15 cm  square out of the cereal box.

Fold it diagonally.

Cut slots at 1cm interval. 

Thread wool into opposite slots as shown (below). 

pic 3 hyperbolic paraboloid  with wool

                  NB: The thread should be a straight line.

                  Detailed instructions here.    

 …………………………………………………………………

2. Wooden skewers

make-hyperbolic-paraboloid-using-skewers.w654

You will find full instructions at the Mathscraft blog.

 …………………………………………………………………

3. Cardboard only

hyperbolic-paraboloid

Here is another way to make a hyperbolic paraboloid using cardboard. You will find full instructions including a video at Mathscraft.

 …………………………………………………………………

4. Bubble

pic 4a saddle bubble

You will find more about the geometry of soap films here.

pic 4b hyperbolic paraboloid bubble 1

 

More intriguing information about all sorts of geometric bubbles here at The Wonderful World of Soap Bubbles.

 ………………………………………………………………… 

The Hyperbolic Paraboloid in Construction

The structure is often used today for rooves.

 

pic 5

Not everyone is happy with Pringles:

pic 6 pringles joke

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Volcano Survivor 2: Mauna Loa Volcano, Hawaii, 1950

November 7, 2014
Once lava flows are established new RIVERLETS can run on top of the original lava flow at great speed.
Puu-Oo-USGS lava riverlets

The fastest Lava flows recorded were in Hawaii in 1950 when Mauna Loa erupted. The lava traveled at 6 miles (10 kilometers) per hour through thick forest. But once the lava flows became established and good channels developed, the lava in the channels was flowing at up to 60 miles/hour (97 kph)

Can you out run a lava flow?

You are 2 km from the volcano rim and start running.

VL =   97 kph = 1.6 km per minute (k/min)

     =   60 mph

VH = 18 kph = 0.3 km/min

   = 11.2 mph (miles per hr )

GRAPH:

How long will it take for the lava to catch you?

Mauna Loa Volcano Lava Flow 1950 2

 

SIMULTANEOUS EQNS:

How long will it take for the lava to catch you?

Mathspig simultaneous Eqn 2

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3. STUNTMAN MATHS: Motorbike Jump

August 19, 2014

Star Stuntmen

Picture 2

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.”

1. perlin_stunt_ Terminator 3

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.

2 Evel Knievel JUNE-23-1973

His injuries are legendary:

3 the-many-injuries-of-evel-knievel1

More Evel Knievel

Ramp Design

4 Ramp Design Angle of final kicker

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

5 Robbie Maddison's 2008 New Year's Eve jump Arc de Triomphe at the Paris Las Vegas

Picture 2

 

Moto-X Ramp Jump Maths

6 motorbike -parabola  Mr Reid

7 bike jump 1 Method 1



8 bike jump Method 1 final

 

9 bike jump method 1 final

 

Picture 2


10 bike jump method 1 final

 

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.

12 optimising ramp angle

 13bike jump  Method 2

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. 

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Outdoor Maths Adventures: Middle School

June 30, 2014

 

 

Outdoor maths middle school 1 mathspig

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!

 

Outdoor Maths Middle School 2 Mathspig

McGill Uni link here.

Outdoor Maths MIddle School 3 Mathspig

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

Outdoor Maths Middle School 4 mathspig

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

Outdoor Maths Middle School 5 Mathspig

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

Outdoor Maths Middle school 6 Mathspig

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.

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Death by Chocolate: The Maths

May 28, 2014

 Choco Yum Yum! Mathspig lervs chocolate. But did you know chocolate can kill you?

Chocolate contains a chemical called Theobromine. This alkaloid ( other alkaloids include cocaine, nicotine, caffeine and strychnine) can kill humans. More info Wired Magazine.

How much chocolate is too much?

Firstly, the darker the chocolate the more Theobromine it contains.

According to About Chemistry:

Based on highest possible toxicity:


wrapper crop 2White Chocolate: insignificant

.

.

wrapper crop 3

Milk Chocolate 1-5 g/kg

200gm block = 1 gm per block

……………………………………………………………………………………….

wrapper crop 1Dark Chocolate 10 g/kg

200gm block = 2gm per block

 ..

…………………………………………………….

??????????????????????????????????????Cooking or Baking chocolate* 10-50 g/kg

200mg block = 10 g per block

(* Vetmedicine: Cooking chocolate contains 8-10 times the Theobromine in Milk Chocolate )

According to Wired large doses of theobromine may cause “nausea and anorexia ….. sweating, trembling and severe headache.”

The Royal Society of Chemistry notes that chocolate does not contain caffeine, but theobromine induces similar symptoms.

LD50 for the lethal dose for 50% of the population f or Theobromine is:

1000 mg/kg 0r 1gm/kg of body weight in humans

Death by Chocolate Calculations:

1. FORMULA

Mathspig Death by Chocolate Formula

2. GRAPH

Mathspig Death by Choc Graph

3. Percentage

Mathspig Death by Chocolate  % Method