Archive for the ‘TOPICS’ Category

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Learning Jump Strategy from a Young Mathematician

June 8, 2018

Mathpig just learnt this from a young Mathematician age 9.

It is a great way to do maths because you are thinking ‘Mmmm! How can I work these numbers.’

Getting maths students to think about what they are doing is so much better than just having them guess ‘ Arrrr!  Whatever. Click B.’

More jump strategy information here.

This will be very useful later when it comes to a similar method used to simplify long division:

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Trick 6: Freaky Math Medium

May 27, 2018

Write the word carrot inside your math text book. Do not show students.

When Mathspig was a mathspiglet we used to play this trick. It doesn’t work on everyone, but it works  often enough.

Ask a student to say 15 times 15 fifteen times.

Then ask them to name a vegetable. Students say carrot 90% (I’m guessing) of the time.

To make this trick more dramatic send 10 students out of the class before you begin and tell the other half what you are about to do. Students return one at a time. How often do they say ‘carrot’? What % of students say carrot? 

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Square Root. It’s a Tree!

May 20, 2018

Just found this on Twitter! Had to share it.

NEXT:
If an IMAGINARY NUMBER screams alone in a forest can you imagine that you can hear it? Ha!

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Trick 7: My Math Teacher is Psycho … Psychic!

May 17, 2018

Math Teacher Goes Psycho  ….  Psychic!

Requirements: Pack of cards and a little practise.

Watch this video to learn the trick. Then try it out on the class.

Beginner Math Prediction Card Trick

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Maths News: Volcano Survivor 1

May 8, 2018

Kilauea erupts in Hawaii MAY 2018.

The amazing maths of volcano eruptions.

Can you out run a lava flow?

dantes_peak_ver2In every volcano disaster movie from Volcano (1997) with Tommy Lee Jones to Dante’s Peak (1997) with Pierce Brosnan someone somewhere tries to out run a lava flow.

Is this possible? (See movie cliché busted by maths here.)

Now a lava flow from Hawaii’s Kilauea volcano is threatening tiny town of Pahoa, Hawaii again. (below).

1 Kilauea Volcano USGS

You will find excellent information about the Kilauea and other volcanoes at the

US Geological Survey here.

How to stop lava?

As the temperature of lava exceeds 10000 C there are very few ways to stop lava. According to the Taylor Kate Brown SMH (10 SEPT 2014) options include:

Bombing

Blasting (it with cold water)

Barricading it

Or adding concrete.

What if you are on your own.

Can you out run lava?

Lets do the maths.

Lava from Kilauea travels 17 yards per hour so the lava velocity is:

VL =   17 yds/hour = 15.5 metres /hour

(See Vox.com)

Mathspig simultaneous eqn 1

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Maths News: Volcano Survivor 2

May 8, 2018

Kilauea erupts in Hawaii MAY 2018.

The amazing maths of volcano eruptions.

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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Maths News: Volcano Survivor 3

May 7, 2018

Kilauea erupts in Hawaii MAY 2018.

The amazing maths of volcano eruptions.

One of the greatest dangers in a volcano eruption is not the lava flow OR being hit by a lump of flying lava or rock, but by being choked by the fast moving scorching hot pyroclastic cloud.

Mt Unzen volcano-world

In 1991 pyroclastic cloud blew out of the side of Mount Unzen in Japan. NASA has an excellent diagrams for such an event here.

According to the NASA website:

Highly mobile, these flows reach velocities of up to 400 kilometers (250 miles) per hour and can spread as far as 100 kilometers (60 miles) from the eruption point.

Can you out run a pyroclastic cloud?

Mathspig simultaneous eqn 3

Here is what happened in 1991 when the pyroclastic cloud blew out of the side of Mount Unzen in Japan.