Math = How to use traversable network

 Euler rules state to solve the problem that the sum of the number of time each letter has to appear in one more than the total number of bridges the journey is made. But when if the number occurred is greater than 1 more of the bridges a journey cannot be made. 

Who was Leon Hard Euler?

Link

Leon Hard Euler (15 April  1707 - 18 September  1783) is Swiss mathematician who discovered many questions on the theories of mathematics,

Link Link

The theory of the konisberg bridge problem

In the 18th century, the Swiss mathematician Leonhard Euler was intrigued by the question of whether a route that existed would be traveled each of the seven bridges exactly once In demonstrating that the answer is no, he laid the foundation for graph theory.

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Leonhards stament

"For a network to have an Euler path, the start and finish nodes must have an odd number of paths connected to them. All other nodes must have an even number of connecting paths.'

"For a network to have an Euler circuit (a path that begins and ends at the same point), all the nodes must have an even number of paths."

"Euler states that if the sum of the number of times each letter must appear is one more then the total number of bridges, a journey can be made.  However, if the number of occurrences is greater than one more than the number of bridges, a journey cannot be made, like the Königsberg Bridge problem.  This is because the rule, which Euler gives for an odd number of bridges, using his Figure 2, is true for the general situation whether there is only one other landmass or more than one."

The network is traversable when. link

All nodes are even - Start and finish anywhere in the network.

Are two nodes ODD?? - There must be at less 2 odd nodes and more for the network to be transferable and you must always start and finish on the same nodes.

If there are more than two odd nodes - the network is not transferable.

What do you need for a network to be a traversable network?

Be assertive learning review

What I have learned so far in English is being assertive which is being straight to the point but firm. This blog will be a review of the things that we have gone through about being assertive.

here is the link to the teacher's resource 

1. What are the four types of behavioural responses, and what does each mean?

Aggressive: unsatisfied, being forceful, control.

Passive: just accepting what is happening and just move on about it, unresisting.

Indirect: not being straight, avoiding direct exposition of a subject.

Assertive: maintain respect, defending your rights, satisfy your needs, and being polite but firm.

2. What is the definition of assertive communication?

Being straight to the point but firm/ being confident.

Maintain respect defend what's right and satisfy your needs.

3. What are the three describes? when should you use them?

Situation: focusing on behaviour, not motive 

Feeling: focus on positive feelings, not negatives, use of I statement, explain what you feel.

Changes you want: stating your action politely but firmly, be specific, but reasonable.

4. List, explain 5 assertive communication tools?

I, us, we, being positive, and acknowledge their feeling.

5. List and explanation of 3 barriers to assertive communication?

Cultural: this can be like how before women didn't have opinion s that matter and they don't have the same rights as men.

Gender: this can be men have an easier responding to men while men respond to a woman is another story.

Age: This can some people will say to a younger person that he has less experience than the other older person.

Status: This can be an employee talking trying to be assertive to the manager or a person trying to be assertive to a teacher.

Bias: this can be your family being against your hopes and dream of your dream job as your family is not into it.

6. What does assertive communication look like?

Maintaining eye contact, setting up straight, facing the person, not smiling or giggle relaxing arms, and a nod to show that you are listening.

7. What does assertive communication sound like?

Just right = clear, not too loud and high pitched, in a varying level.

8. What does it mean to act like a scratched record when it comes to your boundaries?

9. My friends tease me about random things, and I don't really do anything. This is a passive response but in result, we are still friends in the end.

10. Now I respond in this situation depending on what I feel to say. This usually ends up good and sometimes bad. I want to change this by trying to be mostly having an assertive response which is difficult. In the future, I will try to remember how to respond assertively to not have a bad response with others.

To explain basic mathematical shapes/terms.

Side of shapes

Tri = 3 sides

Quad = 4 sides

Pent = 5 sides

Hex = 6 sides

    TRI 3 SIDES SHAPES

Equilateral triangle - All angles equal to 60 degrees, all sides are equal, al equilateral triangles have 3 lines of symmetry.

Isosceles triangle - 2 angles equal, 2 sides have equal length, all isosceles triangles have a line symmetry or one line is reflected from the other.

Scalene triangle - No angles are qual, no sides are equal length.

Right angles triangle - 1 angle must have 90 degrees.

Obtuse Triangle - 1 angle must be greater than 90 degrees which are called an obtuse angle, the other 2 angles are less than 90 degrees which are called the acute angle.

Acute triangle - All angles must have less than 90 degrees.

    QUAD 4 SIDED SHAPES:

Quadrilateral shapes must have:

- 4 sides and edges

- 4 vertices or corners

- Interior angles add up to 360 degrees

Rectangle - 4 sided shape, every angle is a right angle (90 degrees), opposite sides are parallel and equal of length.

Square - 4 sides are qual, every angle is a right angle (90 degrees), opposite sides are parallel.

Rhombus - 4 sided shape, all sides have equal length, opposite sides are parallel and opposite angles are equal.

An interesting fact in diagonal or dashed lines meets in the middle at a right angle.

Rhombus is also called a rhomb or a diamond.

Parallelogram - COntains opposite sides parallel and equal in length, Opposite angles are equal (2 angles are the same, and another 2 are the same).

Trapezoid - Has opposite sides parallel, quadrilateral no parallel sides.

Kite - Has two same length sides or each pair is made of two ewaul-length sides join up.

- two angles pairs are equal.

- the diagonals, shown as dashed lines above, meet at a right angle.

- 1 diagonal bisect (cut equally in half).

Polygons

There can be a regular polygon which all angles equal and all sides equal sides, but if they don't have this they will be an irregular polygon.

Pentagon - A regular pentagon contains five congruent sides, five same interior angles, five same exterior angles.

Exterior angles = 360/5 sides = 72 degrees. This is found because a regular polygon, going around a pentagon completes a full circle, this means the exterior angles are found by dividing 360 degrees by the numbers of the sides.

Irregular pentagons - Convex no internal angles can be more than 180 degrees, concave one interior angle that is greater than 180 degrees.

Hex- 6 sided shapes - hexagon

Regular / irregular

When all angles are equal and all sides are equal it is regular, otherwise, it is irregular.

A concave/convex

A convex hexagon no angles pointed inwards, no internal angles can be more than 180 degrees.

External correspondence - Newsletter

STANLY ORGANICS LTD                                                        Customer Newsletter

                                                                                                       August 2020

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Reduce Plastic Waste Scheme

Dear (customer name),

We are inviting you to be part of our new scheme. As we want to work with you to change the way customers buy everyday products. This was planned to reduce plastic waste that's filling up our landfills.

- We want to stop putting plastic into our landfills; this can be biodegradable/degradable plastic bags, and bottles only break down in specific conditions.

-All plastic bags now replaced with hessian bags (made from flax and hemp fibres). First bag free with purchases over $50. Or we will provide recycled cardboard boxes (and help carry to your car).

-Most liquids products (liquid soap, shampoo, dishwashing liquid, etc) now available in 'fill your own' containers. Bring your own container to fill and get 5% discount.

-Fresh vegetables - instead of plastic bags, try re-useable waxed cotton bags to keep food fresh.

Please support our new update regarding our plastic scheme, and thank you for your ongoing support.

Regards,

George Davis

Customer Service

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Address: 123 Green Road                                                                   07 444 4444                                     

Newtown                                                                                           Stanleyorganicsltd@email.com.nz                                                                                  

Internal communication : English

 From: Meg Garcia

To: Staff members

Date: 11 Agust 2020

Subject: Fire drill Instruction

Greetings,

After the recent fire evacuation drill, many of our staff members didn't know what to do. Although the alarms sounded continuous (indicating a fire warning) some of our staff stayed inside the building. Those people who did leave the building weren't sure where they should wait, and some wandered off to get coffee.  Please take note of the following instructions regarding the fire evacuation drill.

- All exit routes must be clear for exiting. 

- After exiting the building everyone must go straight to the main car park and not go wander to other places.

-Wait until the Fire Safety Officer gives the all-clear.

Please follow the following roles for your safety, and as soon as the alarms turn on everyone must follow the roles to prevent any accidents. For more information or questions regarding this, email me at MegGarcia@gmail.com

Thanks,

Meg Garcia

Assistant Manager

English gmail internal

4 June 2020

Harry Simpson

335 Stuff Zone

Auckland 1111

Ref:

To: Bob Arthur, Manager
From: Harry Simpson
Date: 25 June 2016
Re: Update regarding the kitchen recycling

I have received your request regarding the update of our staff kitchen recycling bins.

Here are the following new updates:

- The recycling bins have been used correctly (e.g plastic in the plastic bin, etc).
- I have received mostly positive feedback from our staff about the new system.

- Some staff think that it is a waste of time but, they do follow the rules of the new.

- The food bin is not emptied often enough that it becomes smelly.
- There is some confusion over the types of plastic that are recyclable

Although the new recycling system is going well, there have been few problems with recycling types. I recommend that we should give the stuff the instructions regarding the new recycling program so there won't be any confusion.

Harry Simpson
Team leader

English external

The Department Store
335-337 The Parade
Beachtown
Auckland 1111
Ph: 098898899
Email:thedepartmentstore.co.nz
Web:thedepartmentstore.co.nz

4 June 2016
Rebecca Smith
335-337 The Parade
Auckland 1111
Ref:

Greetings,

Re: Kaneprice@thedeprtmentstore.com.nz

Thank you for your email about advising me of how one of our staff had treated you. I apologize that this had caused you distress, and I will do my best to resolve the situation.

There are no excuses for this type of behaviour, and the staff has been given a warning. All staff members had been given further customer service training as when you come back you will be greeted better.

As the way of apology from the inconvenience that has caused. We will give you a $50 voucher that can be spent in any department of our store.

I apologize once again for the inconvenience caused.

Yours Sincerely,
Rebecca Smith
The Department Store
Footwear Manager