Pythagoras and Triangles

  Names of shapes of the different triangles

There are 7 types of triangles:  

• Equilateral

• right isosceles

• obtuse isosceles

• acute isosceles

• right scalene

• obtuse

• acute

Equilateral- In geometry, an equilateral triangle is a triangle whose all three sides are of equal length.

Obtuse Scalene- An obtuse triangle is any triangle that has an obtuse angle. An obtuse angle is one that measures greater than 90 degrees. An acute angle is one that measures less than 90 degrees. A scalene triangle is one that has all three sides of a triangle of different lengths and all three angles of different measures.

Acute Scalene- As mentioned, an acute triangle consists of three acute angles (measuring less than 90 degrees), while scalene triangles contain three unequal sides and angles. Therefore, an acute scalene triangle has the following properties: Three intersecting line segments. Three acute angles. None of the sides are equal.

Obtuse isosceles - An isosceles triangle is a triangle that has at least two equal sides. So, for an isosceles triangle to be considered obtuse, it just has to be a triangle with two equal sides and an angle that is between 90 degrees and 180 degrees.

Acute Isosceles - Isosceles triangles always have two equivalent interior angles, and all three interior angles of any triangle always have a sum of degrees. Since this is an acute isosceles triangle, all of the interior angles must be acute angles.

Right scalene - It has no equal sides so it is a scalene right-angled triangle. And, like all triangles, the three angles always add up to 180°

Who is Pythagoras?

Pythagoras was a Greek philosopher and mathematician. 

What did he do?

As part of his education, when he was about age 20 he apparently visited the philosophers Thales and Anaximander on the island of Miletus.

Pythagoras Theorem

The Pythagorean theorem states that in any right triangle, the square of the length of the hypotenuse equals the sum of the squares of the lengths of the legs of the right triangle.

What are Square and Square Root?

In math, squares and square roots are inverse operations. The Square of a number is the value of power 2 of the number, while the square root of a number is the number that we need to multiply by itself to get the original number

Cos. In mathematics, trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. They are widely used in all sciences that are related to geometry, such as navigation, solid mechanics, celestial mechanics, geodesy, and many others.

Tan. in a right triangle, the tangent of an angle is the length of the opposite side divided by the length of the adjacent side. The tangent function, along with sine and cosine, is one of the three most common trigonometric functions.

Link to work out Sin Cos Tan

Trigonometry Angles

Trigonometry angles are the angles given by the ratios of the trigonometric functions. Trigonometry deals with the study of the relationship between angles and the sides of a triangle. The angle value ranges from 0-360 degrees. The important angles in trigonometry are 0°, 30°, 45°, 60°, 90°, 180°, 270°, and 360°.

Square: Squaring in when you times a number by itself. For example, 8 x 8 = 82

Square Root: a number that produces a specified quantity when multiplied by itself.  

Square root symbol> √

This is a photo of Pythagoras.

Connections- Klara and the Sun and Blade Runner 2049

Connections between Klara and the Sun and Blade Runner 2049?

Discrimination:

• Blade Runner- Replicants get discriminated because they aren't fully human. The non- replicants are shown as royalty because they are fully human and they somehow feel like their better than everyone.

• Klara and the Sun- The people who are lifted are discriminated against because they are shown as a disgrace to the human population. The people who haven't been lifted are shown as normal people.

What is love:

• Klara and the Sun- In this book, we see that Klara says "Love isn't what you feel on the inside, it's what everyone else's feels about you".

• Blade Runner- Even though Joi isn't a real person, K still loves her for who she is, he doesn't care if she's real or not.

How to Label a Triangle

When labeling a triangle, there are a couple of rules around it. 

• When labeling a triangle, all of the angles on the triangle must be a capital letter. 
• All sides of a triangle must be labeled with a lower case letter.
• Each letter must be opposite from the other. For example- Angle A should be opposite of side a, same with angle B and angle C.

You do not use this rule with a RAT (right angle triangle) because you only have one of each letter on those triangles.

What is the Sine rule?

 Today in math we have been learning about the sine rule. We worked on a shared slideshow with the whole classroom to put information about the sine rule. Here is a photo of the information Zapa and I discovered about the sine rule. 

This photo explains how to use in when solving problems and it shows the formula that is needed to work a problem out when using the sine rule.

Practice paragraph

Colour and Lighting

In the film Blade Runner 2049, the aspects of Colour and Lighting were paired effectively in the scene where K walks into his apartment to meet Joi. We see this when K takes Joi outside to show her the rain and show her that it won't affect her in any bad way. The lighting is low-key because it's really dark and gloomy. 

Indices

 Indices

What is a Math Indice?

An index number is a number that is raised to a power. The power, also known as the index, tells you how many times you have to multiply the number by itself. Here is a link to the site I found this information from- Link to site

What are the rules around Indices?

Index laws are the rules for simplifying expressions involving powers of the same base number.  Watch out for the powers of negative numbers. 

I found this information from google.

What happens to a positive and negative number?

When working out an equation, if the number of the indice is a negative number and the number the indice is next to is negative, then the answer will end up as a negative. 

If the indice is a positive number and the number next to it is a positive number, then your answer will be a positive number.

If the indice is a positive number and the number next to it is a negative number, then your answer will become a positive number. 

Air tools- Engineering

 Complete a blog post on air tools.

Rough outline

1. What are Pneumatic tools/air compressors? A pneumatic tool is one that's driven with the assistance of compressed air rather than electricity.

2. Safety when using an air compressor. Dangers and hazards, preventive action, and servicing. When your finished with the air compressor, turn down the power.

3. PPE when using air tools - general PPE would be safety glasses, face masks, earmuffs.

4. Different types of air tool connections /tools- Air compressor, Nail gun, Angle grinder

Drill worksheet- Engineering

 Power  Safety Tool worksheet - Drill Makita DP 1410

General - 

List safety points for your work area

1 Be Aware of your surroundings

2 Use tools properly and carefully

3 Wear PPE when needed

List 4 electrical safety points when using a mains powered drill

1 When using an extension cord, never use it around water.

2 Make sure you check for safety tags before using the tool.

3 Always unplug your appliances when they are not in use.

4 Make sure your cords aren’t tangled or have knots.

List 4 personal safety points when using a mains powered drill

1 Make sure you have safety glasses on

2 Wear Earmuffs

3 Don’t wear baggy clothes

4 Correct footwear

5 Wear Overalls if necessary

List 5 points for safe use and care of the tool

1 Make sure no wires are cut

2 Cords are out of the way so no one trips over it

3 When finished with the tool unplug it/turn it off

4 Don’t just slam it down on the table when you’re not using it, gently place it

5 Make sure your using it properly

List 2 servicing points

1 Keep handles dry, clean your tools, and keep them from rusting.

2 Have it serviced by a qualified repair person.

List as many specific safety rules regarding using the drill

1 When drilling, make sure your fingers are out of the way

2 Wear safety glasses so no dust gets in your eyes

3 Always check to see if the drill part is locked in place before using it

What PPE is required with this drill?

• Safety glasses

• Maybe earmuffs

Mains Power tools

 BLOG POST LAYOUT FOR MAINS POWERED TOOLS 

SAFE USE OF  MAINS POWERED TOOLS AND EXTENSION CORDS 

Describe/ Explain what is a mains powered power tool? 

A mains power tool is a power tool that must be plugged into a wall to work.

Where are you likely to use it?

Most likely used in a workshop or a building site.

Give 3 examples of a mains power tool you may have already used. 

Nail Gun

Jigsaw

Heat Gun

Describe/explain the task you used it for.

Nail Gun- Used to drive nails into my wood to hold it together.

Jigsaw- Used to cut shapes and curves in your wood.

Heat Gun- Heat guns are commonly known for their use to strip paint and weld or bend plastics.

General safety around electricity. 

Make sure no wires are cut, Keep wires away from heaters or warm appliances.

What to look for. If any of the equipment is broken.

What do I do if something is wrong. Cut the power, turn off electrical appliances.

 General hazards and dangers of a mains powered power tool- 

What is meant by “RCD” Why is it important- RCD stands for “Residual Current Device”  It is important to have RCD protection when using electrical equipment outdoors.

What is meant by “Double Insulation”- Double or reinforced insulation is another method of protection against electric shock, consisting of an extra layer of supplementary insulation over the basic insulation 

Why is it important- Double insulation construction of appliances and tools allows the manufacturer to produce a lower-cost product.

Safety checks and safe working practices when using a mains-powered tool- Make sure it has the safety tag on the cord, Make sure the cord is put somewhere so no one trips over it.

2022 L2 Engineering 

Hazards and dangers of extension cords- Tripping hazard, Exposed wires.

Safe Use of extension cords- Always put the cord away when finished with it, unplug it when finished.

General PPE when using mains-powered tools 

Signage- Engineering

 Hazard Identification & Action

A hazard can be described as anything that could cause you and others any form of harm.

A hazard that can cause you serious harm is described as significant.

Once a significant hazard has been determined the school must take “all practical steps” to eliminate, isolate or minimise the significant hazard.

Safety Signage

Here are some examples : Identify the sign, Describe what it means ,Explain what action you would take 

Slippery when wet	No Phones
Fire Equipment	Eyewash
Must wear Earmuffs	Keep out of this area

Engineering 2022

 Personal Protective Equipment.

What is PPE? 

PPE stands for Personal Protective Equipment. This is the type of equipment that you have to use in the workshop

What are the basic requirements for PPE here at the HHS workshop?

The basic requirements include face protection (Glasses and Welding helmet), Ear protection (Ear Muffs), Correct Footwear, Overalls if you’re working around chemicals or dust.

Here is a photo of me in basic PPE 

What isn’t PPE? 

https://www.shponline.co.uk/ppe-personal-protective-equipment/

Ordinary Clothing, Portable devices, Equipment used for sporting

Who pays for your PPE? 

The school pays for it.

Explain the different types/range of basic PPE that is available in the workplace. Headwear, Facewear, Clothing

What are examples of task-specific PPE?

Welding- Welding mask, Overalls.