Archive for the ‘algebra’ Category

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4. Too many different ways to do the same thing

October 11, 2017

The Complaint:…………………………………………………………

Too many different ways to do the same thing

………………………………………………………………………………………….

The Cause:……………………………………………………………….

Often, students , who are struggling with a concept, find it even more challenging when changing grades and/or schools because a new teacher uses a different method to the one they were taught.

eg. Long Division must have the most ridiculous number of methods for doing it.

Add a multi-cultural classroom and even more confusion results.

More maths news from around the world here.

eg. 2  Expand double brackets

1. X-multiply Method

This is the Method Mathspig taught students long, long ago.

2. Standard Method

Video tutorial from Me vs Maths here.

3. Grid Method

Video tutorial from 3 min Maths here.

The Solution:

Find the method that works for you. Stick with it and practice, practice, practice.

eg. Long Division

Here is the BEST EVER long division method

THE LEGO ARGUMENT:

It would be tragic IF  Lego blocks only had one solution. That is IF 6 Lego blocks could only be arranged in one way. In fact, the number of possibilities of arranging 6 blocks is MIND EXPLODING!

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5. It’s Too Hard

September 29, 2017

The Complaint:  

It’s too hard!………………

………………………………………………………………………….

The Cause:

This response often results when students face some new topic – often beyond numbers – that students can’t handle on auto pilot. Instead of working through the problem, they crash and burn.

………………………………………………………………………….

The Solution: 

I’m going to tell you a story. Bear with me for a minute. You did maths from Grade 1 to 6. You’re cool. No major dramas. Then something happens. A new topic, perhaps. Or a new teacher and a new topic. You don’t get it. You sit there looking confused. And then you do this. You say ‘I can’t do maths’( See post here) or ‘It’s too hard’.

In my maths teacher days terror topics were:

Long division

Algebra

Dividing Fractions

Geometry (because so few students listen to what the teacher is saying.)

Trigonometry (Lot of, you know, things to learn. Equations and stuff.)

So you stop doing maths. You retire at the age of, maybe, 13 years.

If you hit the MATHS WALL, here’s what you have to do. Back up a bit. Do some warm up maths on the topic. It’s out there.

eg. The Kahn Academy. I’m not saying it is easy. (See THE MATHS SPEECH here) I’m telling you it is doable. Practise.

Maths is always TOO HARD when you give up. But when you try amazing things can happen.

Besides, if a raccoon can do it.

Here is an exercise that you didn’t think you could do. But it is entirley doable by Middle School students with patience.

Karate Maths of OUCH! That hurts!


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8b. How much blood can YOU lose and survive? ……………METRIC

August 16, 2017

The Complaint

8b: When will I EVER use this maths?

The Cause:

Students doing repetitive text book exercises without using maths to solve REAL WORLD problems.

The Solution:

You are going to use this maths NOW…………………..

……………………………………………………………………………….

How much blood can YOU lose and survive?

………….METRIC UNITS

Remember the best calculator to use is the WEB 2.0 Calculator as it shows the worked equation as you go. 

CAREERS: It’s not only health workers who need to understand these calculations, but also creatives running health campaigns online, on TV, radio and in magazines.

TOPICS: Decimals, %, algebra, vol, weight units (METRIC) 

PDF WORKSHEET HERE:How much blood can you lose and still survive? WORKSHEET METRIC

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8b. How much blood can YOU lose and survive? ……………USA Units

August 16, 2017

The Complaint

8b: When will I EVER use this maths?

The Cause:

Students doing repetitive text book exercises without using maths to solve REAL WORLD problems.

The Solution:

You are going to use this maths NOW…………………..

……………………………………………………………………………….

How much blood can YOU lose and survive?

………….USA Units

Remember the best calculator to use is the WEB 2.0 Calculator as it shows the worked equation as you go. 

CAREERS: It’s not only health workers who need to understand these calculations, but also creatives running health campaigns online, on TV, radio and in magazines.

TOPICS: Decimals, %, algebra, vol, weight units (USA UNITS) 

PDF WORKSHEET HERE:How much blood can you lose and still survive? WORKSHEET USA UNITS

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8c. What Volume of Alcohol is Lethal?

August 14, 2017

The Complaint

8c: I Will Never Use this Maths

The Solution:

You are going to use this maths NOW……………..

……………………………………………………………………..

How much alcohol will kill you?

TOPICS: Decimals, %, algebra, vol, weight units (Metric)

At low levels of consumption alcohol impairs decision making and inhibits coordination. It makes you DUMB and CLUMSY, which can cause serious injuries if you, say, fall down stairs.

Legal Age to Buy or Sell Alcohol USA: 21 years

Legal Age to Buy or sell Alcohol AUST, NZ & UK: 18 Years

Legal Age to Buy or sell Alcohol CANADA: 18 – 19 Years depending on region.

At higher levels of consumption ALCOHOL can kill. It is a depressant. It acts on your central nervous system. It can STOP YOU BREATHING.

WORKSHEET PDF:  How Much Alcohol Would Kill You? WORKSHEET

WORKED EXAMPLE

1. Calculate the weight of (pure) alcohol or ethanol in the following standard drinks using the following information:

Now Ethanol =  0.79 gm/ml

More information @ alcohol.org.nz

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The Terrifying Maths of Running from a Bear … Metric Units

July 17, 2017

METRIC UNITS below. USA UNITS here.

BEAR STATISTICS

Grizzly Bear

Weight:   250kg

Height:   250cm

Top Speed: 56kph  =   16 m/sec

More bear stats here. 

Brown Bear

Weight:  680kg

Height:   250cm

Top Speed: 35kph  = 10m/s

More bear stats here.

Comparing these speeds to the fastest man on earth, Usain Bolt:

Usain Bolt:

Top speed: 243kph =   12m/s

So Usain Bolt could out run a Brown Bear but NOT a Grizzly!

Bears are NOT as dangerous as:

In fact more Americans die choking on their own vomit each year than a re killed by bears.

More death stats here.

But bears are very fast so Park Rangers recommend the following survival tactics:

More bear survival info here.

REF: Dog helps save hikers after grizzly chases them for 20 minutes here.

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The Terrifying Math of Running from a Bear … USA Units

July 17, 2017

USA UNITS below. METRIC UNITS here.

BEAR STATISTICS

Grizzly Bear

Weight:  550 lb        

Height:  8’ 2”   

Top Speed: 35 mph  =   51 ft/s    

Brown Bear

Weight:  1,500 lb       

Height:  8’ 2”              

Top Speed: 22 mph  =  32 ft/s     

Comparing these speeds to the fastest man on earth, Usain Bolt:

Usain Bolt:

Top speed: 27 mph  =   40 ft/s     

Bears are not dangerous:

………………………………………………………………………


In fact, more Americans die each year from choking on their own vomit than are killed by bears.

More death stats here

Nevertheless, bears are very fast. So you can see why Park Rangers offer the following advice:

More information at Mountain Nature.

The reason for waiting until the bear is 15 ft away is to make sure the spray doesn’t disperse in the air. If the Pepper Spray is too spread out it will not stop the bear.

Ref: Dog helps save hikers after grizzly chases them for 20 minutes.