Posts Tagged ‘quick’

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The Rolling Coin Paradox that drove me Crazy!

February 27, 2026

Consider the example of the coin rolling around a coin of the same size. Intuitively we think …’OK. Same circumference, so the coin will rotate once as it rolls around a same-size coin. But this doesn’t happen. It rotates twice.

TWICE!

This observation is SOOOOOOOO counterintuitive we have to know why?

Why?

The answer is interesting. The relevant point in the ROLLING COIN PARADOX is the centre of the rolling coin. The rolling coin rotates about that point. And that centre (the red dot in the gif below) moves through a circle twice the circumference of the stationary coin. It is much easier to understand when you see it. (Below)

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Middle School Maths that is, like, WOW!

October 16, 2023

Aussie students are back after semester break. American and Canadian students are starting a new academic year.  UK students are returning from their half-term break.

All of these Middle School Students need to be Wow-ed! by Math(s). 

10 Quick & Quirky Ways to Make the Maths Classroom Rock!

…………………………………………………………..

1. Tell a Story: Life, Death, and Geometry

This is middle school maths at its best. To understand Wild Fires you must understand the angle of a slope. REQUIREMENTS: Just this story and a white or blackboard to show how the fire speed changes with the slope angle. 

Background Story

On 5th August 1949 Wag Dodge was dropped by parachute with 14 other firefighters into Mann Gulch, a steep-sided gully in a Montana pine forest. Firefighters who parachute in to put out small blazes started by lightning are called Smoke Jumpers. As they worked their way down the sides of the gully the breeze was blowing away from them. But the wind soon shifted. This produced an updraft, which increases the speed of the fire front. The 15 Smoke Jumpers turned and started running for their lives uphill.

What you have to know

Heat rises and so there is a Chimney Effect pushing the fire uphill. The rule of thumb used by firefighters is:

Each 10º increase in slope, the fire front speed doubles. So a fire front traveling at 60 kph (37 mph) becomes a fire front traveling at 120kph (75 mph) moving up a slope of 10º.

What happened to the Smoke Jumpers?

When the fire front changed direction Wag Dodge and 14 other Smoke Jumpers found themselves running for their lives up a steep slope. What did Wag do next?

ANS: Here’s the amazing thing. Wag realised he could not outrun the fire at that point. So he stopped, took off his backpack, took out some MATCHES, and lit a fire in the grassy patch in front of him. Just before the firewall hit he threw himself face down on the burnt patch. He survived. The other 14 firefighters did not. You will find maths exercises here: METRIC UNITS and USA UNITS.

 

Requirements: SmartBoard to Project this link.

Try it first. You might be surprised.

 

3. Urban Myth Busted

Requirements: This story.

Goldfish Memory This is what Epidemiologists do. They find out if there are statistics to support the theory. These mathematicians have been providing vital information during the COVID-19 Pandemic.

According to the ABC news, this myth was busted by a 15-year-old Adelaide schoolboy named Rory Stokes. He fed his goldfish near a Red Lego brick. The fish started anticipating food near the brick. He took it away and replaced it several weeks later. The fish remembered the red brick!!! More here.

Other maths myths to check out:

Chewing food 32 times before swallowing helps you lose weight. Here.

You must drink 8 glasses of water a day. Here.

You are 6 degrees of separation from anyone in the world. Here.

It takes 43 muscles to frown and only 17 to smile. Here.

 

4. Beat this! Drum Rates in BPM.

Requirements: A pencil and a timer on a phone.

Can students manage a drumbeat to popular songs? Here are some songs with their BPMs (Beats per minute listed). 

Tones and I     Dance Monkey  98 BPM.

The Rubens  Live In Life  104 BPM.

Lady Gaga      Bad Romance     118  BPM

……………….Just Dance          119   BPM

Flume   Rushing Back   176  BPM   (Try the middle of the track. It varies)

Panic! At the Disco      186 BPM   (Recommended by Jog.FM for jogging)

More DRUM BEATS and a story about Drummers’ Brains here.

……………………………………………………..

5...MatHoudini

………………………….

Requirements: Phonebook.

Read the instructions at this link. Very simple. And you can amaze the students. Or Vice Versa. A student can amaze a maths teacher.

 

6.  Can you make a Square Bubble?

Requirements: pipe cleaners or stick cube and detergent and a bucket with water.

All ages love this exercise.

How? Read the link here.

………………………………………

7. Photo Scavenger Hunt

Challenge: Students use a smartphone to take 5 mathsy photos for homework. Ideas here.

However, start in the maths room. Look for parallel lines, angles, rectangles, spheres, parabolas (not in the textbooks). See parabola below.

………………………………………

8. Barcode Maths

Requirements: A product with a barcode.

Read this link and check the barcode.

………………………………………

9. Secret Code

Requirements: Box of matches, an accomplice.

Read this link and amaze the class.

………………………………………

10. Rolling coin Paradox & the Radius 

Requirements: 2 large coins. 20c in Australia, Half-$ USA or 25p UK.

Read this link first. It’s so counterintuitive.

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Razzle-Dazzle them with Middle School Math that is, like, WOW!

September 4, 2022

 

10 Quick & Quirky Ways to Make the Math Classroom Rock!

…………………………………………………………..

1. Tell a Story: Life, Death, and Geometry

This is middle school maths at its best. To understand Wild Fires you must understand the angle of a slope. REQUIREMENTS: Just this story and a white or blackboard to show how the fire speed changes with the slope angle. 

Background Story

On 5th August 1949 Wag Dodge was dropped by parachute with 14 other firefighters into Mann Gulch, a steep-sided gully in a Montana pine forest. Firefighters who parachute in to put out small blazes started by lightning are called Smoke Jumpers. As they worked their way down the sides of the gully the breeze was blowing away from them. But the wind soon shifted. This produced an updraft, which increases the speed of the fire front. The 15 Smoke Jumpers turned and started running for their lives uphill.

What you have to know

Heat rises and so there is a Chimney Effect pushing the fire uphill. The rule of thumb used by firefighters is:

Each 10º increase in slope, the fire front speed doubles. So a fire front traveling at 60 kph (37 mph) becomes a fire front traveling at 120kph (75 mph) moving up a slope of 10º.

What happened to the Smoke Jumpers?

When the fire front changed direction Wag Dodge and 14 other Smoke Jumpers found themselves running for their lives up a steep slope. What did Wag do next?

ANS: Here’s the amazing thing. Wag realised he could not outrun the fire at that point. So he stopped, took off his backpack, took out some MATCHES, and lit a fire in the grassy patch in front of him. Just before the firewall hit he threw himself face down on the burnt patch. He survived. The other 14 firefighters did not. You will find maths exercises here: METRIC UNITS and USA UNITS.

 

Requirements: SmartBoard to Project this link.

Try it first. You might be surprised.

 

3. Urban Myth Busted

Requirements: This story.

Goldfish Memory This is what Epidemiologists do. They find out if there are statistics to support the theory. These mathematicians have been providing vital information during the COVID-19 Pandemic.

According to the ABC news, this myth was busted by a 15-year-old Adelaide schoolboy named Rory Stokes. He fed his goldfish near a Red Lego brick. The fish started anticipating food near the brick. He took it away and replaced it several weeks later. The fish remembered the red brick!!! More here.

Other maths myths to check out:

Chewing food 32 times before swallowing helps you lose weight. Here.

You must drink 8 glasses of water a day. Here.

You are 6 degrees of separation from anyone in the world. Here.

It takes 43 muscles to frown and only 17 to smile. Here.

 

4. Beat this! Drum Rates in BPM.

Requirements: A pencil and a timer on a phone.

Can students manage a drumbeat to popular songs? Here are some songs with their BPMs (Beats per minute listed). 

Tones and I     Dance Monkey  98 BPM.

The Rubens  Live In Life  104 BPM.

Lady Gaga      Bad Romance     118  BPM

……………….Just Dance          119   BPM

Flume   Rushing Back   176  BPM   (Try the middle of the track. It varies)

Panic! At the Disco      186 BPM   (Recommended by Jog.FM for jogging)

More DRUM BEATS and a story about Drummers’ Brains here.

……………………………………………………..

5...MatHoudini

………………………….

Requirements: Phonebook.

Read the instructions at this link. Very simple. And you can amaze the students. Or Vice Versa. A student can amaze a maths teacher.

 

6.  Can you make a Square Bubble?

Requirements: pipe cleaners or stick cube and detergent and a bucket with water.

All ages love this exercise.

How? Read the link here.

………………………………………

7. Photo Scavenger Hunt

Challenge: Students use a smartphone to take 5 mathsy photos for homework. Ideas here.

However, start in the maths room. Look for parallel lines, angles, rectangles, spheres, parabolas (not in the textbooks). See parabola below.

………………………………………

8. Barcode Maths

Requirements: A product with a barcode.

Read this link and check the barcode.

………………………………………

9. Secret Code

Requirements: Box of matches, an accomplice.

Read this link and amaze the class.

………………………………………

10. Rolling coin Paradox & the Radius 

Requirements: 2 large coins. 20c in Australia, Half-$ USA or 25p UK.

Read this link first. It’s so counterintuitive.

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Maths in the Real World: 10 Attention Grabbers for Middle School

September 5, 2021

1. Smoke Jumpers: The Amazing Maths of wildfires

 

USA UNITS HERE

 

METRIC UNITS HERE

 

2. The Rolling Coin Paradox!!

ROLLING COIN PARADOX HERE

 

3. How barcodes work!

Barcode MATHS HERE

 

4. Pop Song Beats and Jogging

 

Pop Song Beats and Jogging MATHS HERE

 

5. Linear Math and Linear Drumming. It’s a thing!

 

Linear Math and Linear Drumming. HERE

 

6. Powers and the Loudest Rock Band in the World

Powers and the Loudest Rock Band MATHS HERE

 

7. Alcohol Kills! Calculate how much would kill you!

Alcohol Kills! MATHS HERE

 

8. Tall Tales: Is height the most important factor in sport?

Height in Sport maths: USA UNITS HERE

Height in Sport maths: METRIC UNITS HERE

 

9. Mmmmm! Chocolate. Yes! It can kill  you

Chocolate. Yes! It can kill  you MATHS HERE

 

10. Random Music? You think!

 

Random Music?MATHS HERE

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20 Gobsmacklingly AMAZING numbers … Revisited

May 25, 2021

… these nos. are  amaaaazing but no one could find the answers in the earlier post.

………………………………………………………..

Click on the POP-UP answers under each question.

1. How many bristles in a toothbrush?

2. What % of Oxygen in the atmosphere comes from forests?

3. How loud was the loudest recorded human scream?

4. How many apples could kill an average-sized adult?

5. How many countries in Africa?

6. What happens when you Google this number, 241543903?

7. How many vertebrae in a giraffe’s neck?

8. What is the highest recorded wind speed?

9. What is the world record high-jump height for a guinea pig?

10. How many times does England fit into Australia?

11. How much did the most expensive dessert ever cost?

12. Why is 70 a weird number?

13. Why Google Googol?

14. How many burgers does McDonalds sell a second worldwide?

15. If the population of the world was spread evenly across the USA, what area would we get each in basketball court sections?

16. How many times was the most frequently married person in the world, married?

17. Why is Zero Zero Zero like 123?

18. What is the world record for the greatest number of snorts in 10 seconds?

19. How long would it take to grow your hair to your feet?

20. What number causes the greatest loss of money in the world?

LINKS:

1. How many bristles in a toothbrush? HERE

2. What % of Oxygen in the atmosphere comes from forests? HERE

3. 3. How loud was the loudest recorded human scream? GOOGLE IT!

4. How many apples could kill an average-sized adult? HERE

5. 5. How many countries in Africa? GOOGLE IT!

6. What happens when you Google this number: 241543903? HERE

7. How many vertebrae in a giraffe’s neck? HERE

8. What is the highest recorded wind speed? HERE and HERE

9. What is the world record high-jump height for a guinea pig? GOOGLE IT!

10. How many times does England fit into Australia? GOOGLE IT!

11. How much did the most expensive dessert ever cost? GOOGLE AGAIN.

12. Why is 70 a weird number? HERE

13. Why Google Googol? HERE

14. How many burgers does McDonalds sell a second worldwide? HERE

15. If the population of the world spread across the USA , what area would we get each?

GOOGLE THE NUMBERS!

16. How many times was the most frequently married person in the world, married?

GOOGLE HIM.

17. Why is Zero Zero Zero like 123? HERE

18. What is the world record for the greatest number of snorts in 10 seconds? HERE

19. How long would it take to grow your hair to your feet? HERE

20. 20. What number causes the greatest loss of money in the world? HERE

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20 AMAZING numbers

April 26, 2021

… so amaaaazing you’ll have to check them for yourself!

POP UP ANSWERS … click on Q.

1. How many bristles in a toothbrush?

2. What % of Oxygen in the atmosphere comes from forests?

3. How loud was the loudest recorded human scream?

4. How many apples could kill an average-sized adult?

5. How many countries in Africa?

6. What happens when you Google this number, 241543903?

7. How many vertebrae in a giraffe’s neck

8. What is the highest recorded wind speed?

9. What is the world record high-jump height for a guinea pig?

10. How many times does England fit into Australia?

11. How much did the most expensive dessert ever cost?

12. Why is 70 a weird number?

13. Why Google Googol?

14. How many burgers does McDonalds sell a second worldwide?

15. If the population of the world was spread evenly across the USA, what area would we get each in basketball court sections?

16. How many times was the most frequently married person in the world, married?

17. Why is Zero Zero Zero like 123?

18. What is the world record for the greatest number of snorts in 10 seconds?

19. How long would it take to grow your hair to your feet?

20. What number causes the greatest loss of money in the world?

LINKS:

1. How many bristles in a toothbrush? HERE

2. What % of Oxygen in the atmosphere comes from forests? HERE

3. 3. How loud was the loudest recorded human scream? GOOGLE IT!

4. How many apples could kill an average-sized adult? HERE

5. 5. How many countries in Africa? GOOGLE IT!

6. What happens when you Google this number: 241543903? HERE

7. How many vertebrae in a giraffe’s neck? HERE

8. What is the highest recorded wind speed? HERE and HERE

9. What is the world record high-jump height for a guinea pig? GOOGLE IT!

10. How many times does England fit into Australia? GOOGLE IT!

11. How much did the most expensive dessert ever cost? GOOGLE AGAIN.

12. Why is 70 a weird number? HERE

13. Why Google Googol? HERE

14. How many burgers does McDonalds sell a second worldwide? HERE

15. If the population of the world spread across the USA , what area would we get each?

GOOGLE THE NUMBERS!

16. How many times was the most frequently married person in the world, married?

GOOGLE HIM.

17. Why is Zero Zero Zero like 123? HERE

18. What is the world record for the greatest number of snorts in 10 seconds? HERE

19. How long would it take to grow your hair to your feet? HERE

20. 20. What number causes the greatest loss of money in the world? HERE

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Post- COVID … We need Middle School Maths that is, like, WOW!

June 9, 2020

10 Quick & Quirky Ways to Make the Maths Classroom Rock!

…………………………………………………………..

1. Tell a Story: Life, Death, and Geometry

This is middle school maths at its best. To understand Wild Fires you must understand the angle of a slope. REQUIREMENTS: Just this story and a white or blackboard to show how the fire speed changes with the slope angle. 

Background Story

On 5th August 1949 Wag Dodge was dropped by parachute with 14 other firefighters into Mann Gulch, a steep-sided gully in a Montana pine forest. Firefighters who parachute in to put out small blazes started by lightning are called Smoke Jumpers. As they worked their way down the sides of the gully the breeze was blowing away from them. But the wind soon shifted. This produced an updraft, which increases the speed of the fire front. The 15 Smoke Jumpers turned and started running for their lives uphill.

What you have to know

Heat rises and so there is a Chimney Effect pushing the fire uphill. The rule of thumb used by firefighters is:

Each 10º increase in slope, the fire front speed doubles. So a fire front traveling at 60 kph (37 mph) becomes a fire front traveling at 120kph (75 mph) moving up a slope of 10º.

What happened to the Smoke Jumpers?

When the fire front changed direction Wag Dodge and 14 other Smoke Jumpers found themselves running for their lives up a steep slope. What did Wag do next?

ANS: Here’s the amazing thing. Wag realised he could not outrun the fire at that point. So he stopped, took off his backpack, took out some MATCHES, and lit a fire in the grassy patch in front of him. Just before the firewall hit he threw himself face down on the burnt patch. He survived. The other 14 firefighters did not. You will find maths exercises here: METRIC UNITS and USA UNITS.

 

Requirements: SmartBoard to Project this link.

Try it first. You might be surprised.

 

3. Urban Myth Busted

Requirements: This story.

Goldfish Memory This is what Epidemiologists do. They find out if there are statistics to support the theory. These mathematicians have been providing vital information during the COVID-19 Pandemic.

According to the ABC news, this myth was busted by a 15-year-old Adelaide schoolboy named Rory Stokes. He fed his goldfish near a Red Lego brick. The fish started anticipating food near the brick. He took it away and replaced it several weeks later. The fish remembered the red brick!!! More here.

Other maths myths to check out:

Chewing food 32 times before swallowing helps you lose weight. Here.

You must drink 8 glasses of water a day. Here.

You are 6 degrees of separation from anyone in the world. Here.

It takes 43 muscles to frown and only 17 to smile. Here.

 

4. Beat this! Drum Rates in BPM.

Requirements: A pencil and a timer on a phone.

Can students manage a drumbeat to popular songs? Here are some songs with their BPMs (Beats per minute listed). 

Tones and I     Dance Monkey  98 BPM.

The Rubens  Live In Life  104 BPM.

Lady Gaga      Bad Romance     118  BPM

……………….Just Dance          119   BPM

Flume   Rushing Back   176  BPM   (Try the middle of the track. It varies)

Panic! At the Disco      186 BPM   (Recommended by Jog.FM for jogging)

More DRUM BEATS and a story about Drummers’ Brains here.

……………………………………………………..

5...MatHoudini

………………………….

Requirements: Phonebook.

Read the instructions at this link. Very simple. And you can amaze the students. Or Vice Versa. A student can amaze a maths teacher.

 

6.  Can you make a Square Bubble?

Requirements: pipe cleaners or stick cube and detergent and a bucket with water.

All ages love this exercise.

How? Read the link here.

………………………………………

7. Photo Scavenger Hunt

Challenge: Students use a smartphone to take 5 mathsy photos for homework. Ideas here.

However, start in the maths room. Look for parallel lines, angles, rectangles, spheres, parabolas (not in the textbooks). See parabola below.

………………………………………

8. Barcode Maths

Requirements: A product with a barcode.

Read this link and check the barcode.

………………………………………

9. Secret Code

Requirements: Box of matches, an accomplice.

Read this link and amaze the class.

………………………………………

10. Rolling coin Paradox & the Radius 

Requirements: 2 large coins. 20c in Australia, Half-$ USA or 25p UK.

Read this link first. It’s so counterintuitive.

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The Rolling Coin Paradox that drove me Crazy!

June 4, 2020

The MindYourDecisions blog (Video below) presents the PARADOX beautifully. 

Now consider the example of the coin rolling around a coin of the same size. Intuitively we think …’OK. Same circumference, so the coin will rotate once as it rolls around a same-size coin. But this doesn’t happen. It rotates twice.

TWICE!

This observation is SOOOOOOOO counterintuitive we have to know why?

Why?

Mr. MindYourDecisions doesn’t explain why this happens. The answer is interesting. The relevant point in the ROLLING COIN PARADOX is the centre of the rolling coin. The rolling coin rotates about that point. And that centre (the red dot in the gif below) moves through a circle twice the circumference of the stationary coin. It is much easier to understand when you see it. (Below)

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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 5: Cool Math Trick

June 4, 2018

Requirements: A Pack of Cards and a willing assistant.

Take 10 cards from pack including the 10 Diamonds.

Lay out card in 3 columns in a pattern of 4 down, 2 down, 4 down.

Put the 10 Diamonds at the top of the  left hand column.

Group students around. You turn your head away and ask a student to point to a card.

You carry on, think allowed and then ask your assistant to point to cards asking:

Is it this one?

No.

Is it this one?

No.…………………………………………………………………………………

When your assistant points to the 10 Diamonds he will show you the position using the diamonds. The cards are laid out on the table in the pattern of the diamonds on the 10 Diamonds.

Whenever your assistant asks is it this one? You will know.

See Mentalism Card Trick: