Konigsberg Bridge

When is a network transferable?

 

The Königsberg bridge problem was an old puzzle concerning the possibility of finding a path over every one of seven bridges that span a forked river flowing past an island—but without crossing any bridge twice. Euler argued that no such path exists.

Euler was a prolific mathematician whose work spanned the fields of geometry, calculus, trigonometry, algebra, number theory, physics, lunar theory, and even astronomy. Euler's contemporary colleagues, and even mathematicians working today, recognize him as one of the greatest mathematicians to have ever lived.

What is a node? A node (or vertex) of a network is one of the objects that are connected together. The connections between the nodes are called edges or links. A network with 10 nodes (or vertices) and 11 edges (or links).

What is a network? A network is simply a collection of connected objects. We refer to the objects as nodes or vertices, and usually draw them as points. We refer to the connections between the nodes as edges, and usually draw them as lines between points.
The rules are: 

• All nodes are even and you can start and finish anywhere 
• Two nodes can be odd but you have to start at one odd one and finish at the other odd node. 
• If all nodes are odd then it will not work. 

An example of this is the house version. 

When each node is,

A-3

B-4

C-2

D-4

E-3

Since it only has two odd nodes it is transferable.

Do you know any other examples?

 Your name 

NSI Number 

This is an entry-level unit standard for people to demonstrate a basic understanding of selecting, using and caring for the correct type of engineering hand tools. 

People credited with this unit standard are able to demonstrate knowledge of the selection of different types of hand tools; select and use engineering hand tools to meet task requirements; and care for engineering hand tools. 

Engineering hand tools applicable to this unit standard fall within the following categories:

 Cutting tools: examples – hacksaws, chisels, files, hole punches, tin snips. 

Assembly tools: examples – hammers, punches, vices, clamps, spanners, wrenches (including impact and torque), pliers.

My evidence to support my assessment booklet 

Cutting tools.

	Hack saw  This is a photo of my cutting a 20x20 halo bar using a 32 TPI
	Metal file  This is a photo of me draw filling the base of my can crusher.
	Tin snips I am using tin snips to get my piece of metal

Assembly tools 

Insert spanner  or wrench photographic evidence	Spanner or wrench Write a short description / explanation of the task you used the hack saw for - be specific
	Hammer Write a short description / explanation of the task you used the tool for - be specific
kklll	Gripping tools Write a short description / explanation of the task you used the tool  for - be specific

What have I learnt?

What type of hacksaw to use for the right job 

What was the most difficult tool to use and why?

Tin snips because they are a bit annoying to use 

What did I enjoy?

Using the hammer because you get to hit things. 

What would I do differently next time?

How i cut the things out because i could not make them straight. 

Questions for future reference.??

Do you have any tips to make my cuts better? 
This supports the assessment for Hand Tools that can be found on this website https://sites.google.com/hornby.school.nz/mr-r-manufacturing/senior-manufactring/hand-to

English

Be Assertive Learning Review

In english class we have been learning about being a assertive in communcation

1. What are the four types of behavioural responses, and what does each mean (in your own words)?

passive- is when you say nothing

assertive- when you be repectful and get your point across

Indirect- is getting a third party to ask that person what you want

Aggresive- When you be angry and demand stuff

What is the definition of Assertive Communication

Assertiveness means expressing your point of view in a way that is clear and direct, while still respecting others. 

What are the three ‘describes’? When should you use them?

Four sided shapes

 Equilateral is when all sides in that shape are the same length 

Tri is a shape with 3 sides 

Quad is a shape with 4 sides 

Pent is a shape with 5 sides 

Hex is a shape with 6 sides

 Square

Four equal sides, angles all 90* 

In geometry, a square is a regular quadrilateral, which means that it has four equal sides and four equal angles (90-degree angles, or (100-gradian angles or right angles). It can also be defined as a rectangle in which two adjacent sides have equal length. 

Rectangle

A rectangle is cyclic: all corners lie on a single circle.

It is equiangular: all its corner angles are equal (each of 90 degrees).

It is isogonal or vertex-transitive: all corners lie within the same symmetry orbit.

It has two lines of reflectional symmetry and rotational symmetry of order 2 (through 180°). 

Rhombus

A Rhombus is a flat shape with 4 equal straight sides. A rhombus looks like a diamond. All sides have equal length. Opposite sides are parallel, and opposite angles are equal (it is a Parallelogram). The altitude is the distance at right angles to two sides.

Parallelogram 

A parallelogram is a quadrilateral with opposite sides parallel (and therefore opposite angles equal). A quadrilateral with equal sides is called a rhombus, and a parallelogram whose angles are all right angles is called a rectangle.

Is there any other four sided shapes you know?

 The Department Store

335-337 The Parade

Beachtown

Auckland 1111

ph: 09 889 8899

email: thedepartmentstore@email.co.nz

web: thedepartmentstore.co.nz

27th of April 2020

Mr Jack Sampson

Kia Ora Mr Sampson, 

I have been informed of the email of disgust that you had sent out about one of our team members here at The Department Store. 

My deepest apologies go out to and I'm extremely sorry that you have been treated this way. We have talked to Jack and he is normally one of our best, he must’ve just had a bad day (no excuses). But we have informed him and issued him with a written warning, also he has offered to have a meeting with you to say his apologies. 

 

We would like to offer you a free pair of shoes and also a $50 gift card for any of ourx   departments. 

Yours sincerely,

Jayden 

Manager at The Department Store   

To: Jenny McCabe, Supervisor

From: Harry Styles

Date: 31 July 2020

Re: Review of the new recycling program

As per requested, here is an update on how the recycling has been going. Here is a list of positives and negatives. 

- Most of the recycling bins have been used correctly and the appropriate items are going into their corresponding bins.

- There has been mostly positive feedback come in from staff about the new system.

- Some of the staff think it is a waste of time but they are still following the rules.

- The food scraps bin isn’t emptied often enough and it becomes smelly.

- There is some confusion over what types of plastics are recyclable.

I have a few suggestions that I think you should change. I think that the bins need to be emptied more often and put a sticker on each bin with what can be put in that particular bin. 

Yours sincerely, 

Jayden 

Administrator

From: Megan Campball  To: All staff members  CC: Manager  Subject: Fire evacuation procedure  Date: 6 August 2020

Hi everyone, After a recent fire drill, A lot of the staff members did not know what to do after the fire alarms started to go off. The alarm sounded continuously to indicate it was a fire alarm but some staff members stayed inside the building. Staff members that did leave the building weren’t sure where they should assemble. In the event of another fire alarm please follow these instructions.  When the bells go off. Evacuate the building instantly.   When you leave the building find the meeting area.  Do not leave that area especially to go back into the building.  Wait paintenacly until the fire marshal says to  Please make sure the fire exits are clear at all times and nothing is blocking these doors, it is  unsafe. These instructions are here to help everyone during a fire evacuation and make sure everyone stays safe during this event. For any questions please contact me via email at MegCarter@workplace.co.nz. Thank you,  Meg Carter  Administrator

 

 

 

 

 

 

 

 

Reduce Plastic Waste Scheme 

 

Banner here 

 

Dear Customers and Suppliers

 

Stanley Organics Ltd. have come up with a new scheme to help us reduce the use of plastic packaging in our store. We want to stop putting plastic in our landfills. We want to invite our customers and suppliers to be a part of our new scheme and work together with us to help change the way everyday products are bought. We want to welcome your feedback to help us improve our scheme as time goes along.

 

 

 

 

A few changes that are going to be implemented are as follows.

 

1) All plastic bags are 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).

 

2) Most liquid products (liquid soap, shampoo, dishwashing liquid, etc.) are now available in ‘fill your own’ containers. Bring your own container to fill and get a 5% discount.

 

3) Fresh vegetables - instead of plastic bags, try reusable waxed cotton bags to keep food fresh.

 

Stanley Organics Ltd. thanks you for your support and we hope to see you in our store.

 

 

Regards,

Judith and Barry Sampson

Store Owners.

123GreenRoad                                                                                                                                                             stanleyorganicsltd@email.com.nz      

Can crusher and gear knob

 Can crusher. 

Photo                                             I really enjoyed making the can crusher because it was kinda basic and did not have any real hard parts to it. we just had to cut some materiel out and then weld them together, and it was good for me since it is my first year doing metal so i got to learn the ins and outs. If I done this project again I would try get my welding better becasue it is a bit patchy and lumpy which looks a bit ugly. 

Gear knob. 

Photo                                                                         The gear knob is a bit more technical because we need to get everything to the exact mms and couldnt get anything wrong otherwise it wouldnt look right and I also got to learn how to use the lathe. I aslo learnt that I need to take my time and not rush because I need to make it all line up with eachother.

I have really enjoyed doing engineering this year learning all the differnt things like welding, how to use the lathe and even the basic things like what hacksaw to use for the correct metal. 

Have you learnt anything new this year? 

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