Maths Triangle

 Triangle Facts 

A triangle has three sides, three vertices, and three angles. The sum of the three interior angles of a triangle is always 180°. The sum of the length of two sides of a triangle is always greater than the length of the third side. 2D shape properties – Different Types of Triangles.

1. Different type of triangles 

Right triangle - A right triangle is a triangle in which one of the angles is 90 degrees.

Obtuse Triangle - Obtuse triangles are those in which one of the three interior angles has a measure greater than 90 degrees. 

Acute triangle - An acute triangle is a triangle whose all the three interior angles are acute. In other words, if all interior angles are less than 90 degrees

Equilateral triangle - In an equilateral triangle, all the lengths of the sides are equal. In such a case, each of the interior angles will have a measure of 60 degrees. 

Isosceles triangle - In an isosceles triangle, the lengths of two of the three sides are equal. So, the angles opposite the equal sides are equal to each other. 

Scalene triangle -  A  scalene triangle has all side lengths of different measures. No side will be equal in length to any of the other sides in such a triangle. 

Maths four side shapes

 Four Side Shapes 

All four side angles are 90 degrees 

Parallelogram 

- A parallelogram is a quadrilateral with opposite parallel. 

Trapezoid

-  A trapezoid is a quadrilateral with one pair of opposite sides parallel. it can have right angle.

Kite 

- A kite is a quadrilateral whose four sides can be grouped into two pairs of equal-length sides that are adjacent to each other.  

Rectangle 

- A rectangle is a four sided-polygon, having all the internal angles equal to 10 degrees. The two sides at each corner or vertex, meet at right angles. The opposite sides of the rectangle are equal in length which makes it different from  a square.  

 

Rhombus 

Parallelogram with 4 equal sides all of the whose sides have the same length 

 

 

Maths Facts

 How to calculate the area of a non right angle triangle

Math facts about calculating the area of a non rat triangle 

To find the area of a non-right triangle. A right triangle is made up of three sides: the base, the height, and the hypotenuse. To get the area of a triangle you must multiply the two adjacent side lengths of the 90° angle, which are the base and the height of the triangle, and divide this quantity by half. This is the formula for the area of a right triangle: Formula for the area of a right triangle. A=1/2bh(Area=½ base x height)

A worked example of calculating the area of a non rat triangle 

use variables to represent the measures of the unknown sides and angles. Apply the Law of Cosines to find the length of the unknown side or angle. Apply the Law of Sines or Cosines to find the measure of a second angle. Compute the measure of the remaining angle.

Everyday uses of finding the area of a non rat triangle 

Find the area of triangle 

The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle. Basically, it is equal to half of the base times height, i.e. A = 1/2 × b × h.

Maths

 Blog 2 

For a right angle tringle describe explain what is Pythagoras theorem. what is and how do you identify the hypotenuse. how can you find side and side b ?

- Pythagoras' theorem states that "the square on the hypotenuse is equal to the sum of the squares on the other two sides" for all right-angled triangles. The longest side is the hypotenuse, which is always opposite the right angle. In this triangle, a 2 = b 2 + c 2 and the angle is right.

- The hypotenuse is the longest side in a right triangle, a "opposite" side is the one across from a given angle, and a "adjacent" side is the one next to a given angle. Right triangle sides are described using special words. A right triangle's hypotenuse is always the side opposite the right angle.

Blog 3 

for triangle which is not a rat describe/explain how you label up the sides and angles of a triangle using capital  and lower case letter ?

- The side opposite the right-angle in any right-angled triangle, ABC, is known as the hypotenuse. We follow the convention of labelling the side opposite angle A as a. The opposite side to B is labelled b, and the opposite side to C is labelled c.

You can research images for reference or draw you own or make a digital clip. 

The important point is you know which side a b and c ANGLE ABC! More important is lower case and capitals 

Maths

To calculate area of a triangle i use 

Area = 1/2 base x height . (perpendicular)

Area = 1/2 x 12 x 4 

= 24m2 

1. 

B = 18m

H = 10m 

Area = 1/2 base x height 

Area = 1/2 x 18 x 10 = 180

= 90m2  

1).

B = 40m

H = 30m 

to calculate area of triangle I use 

Area = 1/2 x b x h 

Area = 1/2 x 40 x 30 

= 600m2 

2).

B =  20m 

C = 38m 

H = ?

to calculate area of triangle I use 

C2  = a2  + b2 

382  = 202  + b2 

1444 = 400 + b2   

1444 - 400 = b2   

1044 = b2  

√1044 = b 32.3

1/2 x 20 x 32.3 = 646m2 

            

 

1. 

B = 28m 

C = 45m 

H = ?

452  = 282  + b2 

2025 = 784 + b2 

2025 - 784 = b2 

1241 = b2 

√1241 = 35.2m

35.2 x 28 = 985.6m2 

 

Maths

What are the rules around multiplying + and - numbers ( 4 rules)

When a negative number is multiplied by a positive number, the result is always gonna be a negative number. When two negative numbers or two positive numbers are multiplied, the result is always positive. Whatever order the positive and negative values are multiplied in doesn't matter.  

Example:

                Expression                       Product           Example 

1. Positive x Positive                Positive          = 2 x 3 = 6

2. Negative x Negative             Positive          = -2 x (- 3 ) = 6 

3. Negative x Positive              Negative         = -2 x 3 = -6 

4. Positive x Negative              Negative         = 2 x (- 3 ) = -6 

What is a maths indices- What are they / how do they work ? eg 3 ^6

An index number is a number which 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. For example, 2⁵ means that you have to multiply 2 by itself five times = 2×2×2×2×2 = 32.

indices in maths is the power or exponent which is raised to a number or a variable. For example, in number 24, 4 is the index of 2. The plural form of index is indices.

 

4. What happens to + and - numbers of odd even indices ?

Only an odd even number can be added to make an odd number (odd + even, or even + odd = odd). Multiplication can only be used to make an even number in three ways. even odder, even odder. Only one method of multiplication can produce an odd number. odd odd  Link

If an even number is divided by two, the result is another integer. On the other hand, an odd number, when divided by two, will result in a fraction. Since odd numbers are integers, negative numbers can be odd.

2021 1 Hazard signs into.docx

 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 

Caution Slippery when wet - Mus put down to warn people that they can slip and fall on the floor when it is wet when seen this sign don’t walk pass.	No phone - No phones allowed Phone must not use when seen that sign
Fire hose reel -	Eye wash bottle - it protects eyes from dust and other particles
Wear ear plugs or earmuffs - Hearing protection must be worn when using a loud machine. If not using it can cause ear damage	Construction site -

2022 L2 Engineering Power tools template

 1 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

Where are you likely to use it? Building sites in the workshop 

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

Drill

Sanders

Nailgun

Describe/explain the task you used it for. 

Drill - Use drill to drill a hole on our work, 

Sanders - Use sanders to smooth and finish surfaces, 

Nail Gun - use to drive nails into wood or other material 

General safety around electricity. 

What to look for…. That there is No

What do I do if something is wrong . ( Fault Reporting )

 General hazards and dangers of a mains powered power  tool

What is meant by “RCD” Why is it important - Residual current device - Is a life-saving device which is designed to prevent you from getting a fatal electric shock if you touch something live, such as a bare wire. It can also provide some protection against electrical fires 

What is meant by “Double Insulation” Why is it important - They have two levels of insulating materials between the electrical parts of the appliance and any parts on the outside that you touch 

Safety checks and safe working practices when using a mains powered tool

2022 L2 Engineering 

Hazards and dangers of extension cords

• If the extension cord is covered, heat is unable to escape and could result in a fire. Make  sure extension cords are visible and if at all possible, not running across highly trafficked areas. They can be a trip hazard for people walking through the areas 

Safe Use of extension cords

• Never remove an extension cord’s grounding pin to fit into a two-prong outlet 

General PPE when using mains powered tools 

Power Safety Tool worksheet - Drill Makita DP 1410

 Power  Safety Tool worksheet - Drill Makita DP 1410

General - 

List safety points for your work area

1 Keep the work area clean and well lit. Cluttered or dark areas invite accidents

2 Keep children and bystanders away while operating a power tool. Distraction can cause you to lose control

3 Wear earmuffs/earplugs when using a loud machine. It can cause damage to your ear

List 4 electrical safety points when using a mains powered drill

1 Unplug appliances when not in use

2 Don’t use near water

3 Always check the safety tags

4 Never put fingers or other objects in an outlet

5 Never run cords under carpets, rugs, doors and window

List 4 personal safety points when using a mains powered drill

1 Stay alert and be aware of your surrounding

2 properly set the drill bit

3 Avoid baggy clothes

4 Wear PPE

5 Use a enter punch to start holes

List 5 points for safe use and care of the tool

1 Don’t pocket sharp objects

2 Use the right tools

3 Wear gloves

4 Clean and return

5 Follow instructions

6 Always wear eye protection

7 Handle sharp-edged and pointed tools with care

List 2 servicing points

1

2

List as many specific safety rules regarding using the drill
1 Hold power tool by insulated gripping surfaces
2 Always be sure you have a firm footing. Be sure no one is below when using the tool in high locations.
3 Loss of control can cause personal injury
4
5
6
7

What PPE is required with this drill

2022 L2 ENGINEERING air tools

Pneumatic Tools 

Complete a blog post on air tools .

Rough outline

1.What are Pneumatic tools / air compressors? Diagram examples of compressors and an explanation. Show a range of different air compressors you might come across.

What are pneumatic tools? Compressed air is used to power pneumatic tools. Buffers, nailing and stapling guns, grinders, drills, jack hammers, chipping hammers, riveting guns, sanders, and wrenches are examples of air-powered hand tools commonly used in industry.

• A pneumatic tool is one that’s driven with the assistance of compressed air rather than electricity; all pneumatic tools require an air compressor to provide a pressurized burst of air to perform their operations. 

• Compressors are mechanical devices that are used to increase the pressure of compressible fluids or gasses.

2.Safety when using an air compressor. Dangers and hazards , preventive action and servicing.

• Always use suitable PPE and double-check that the tool is in good operating order. Safety glasses with side shields, full-facial shields, face masks, hearing protection, and occasionally even lung protection are all examples of PPE that must be worn.

3.PPE when using air tools - general

• Safety glasses or face shields, as well as safety shoes or boots, should be worn.

4.Different types of air tool connections /tools

• There are many different types of air fittings but most air tools use one of just a few types of connector. The main things to consider are the fitting type and the thread size. Common fixing types include ¼” BSP, ¼” PCL and 3/8” NPT.

5.Specific safety when using

Impact driver - when you're working with an air-impact wrench Long hair should be tied back or secured under a cap. When using this equipment, use hearing protection because an air-impact wrench produces a noise level of around 103 decibels. To power the air-impact wrench, use clean, dry air at the manufacturer's specified pressure (about 90 psi).

Air ratchet - When using an impact wrench, always wear safety glasses with side guards. When using an air-impact wrench, never wear a tie, loose clothing, a watch, rings, or jewellery. Only use impact wrench sockets that are made exclusively for this tool.

Dust off gun -A "silent" nozzle (one that emits less noise) should be chosen. Use effective guarding mechanisms to prevent a chip or particle (of any size) from being blown into the operator's eyes or into the unbroken skin of surrounding personnel. If there is a possibility of exposure, you can employ barriers, baffles, or screens to protect other personnel near the operator.

  

Air riveter - Eye protection must always be worn by the operator to guard from flying fasteners and debris. Keep unnecessary personnel away from the work area. Keep away from heat sources and flammable substances. Risk Level Medium Control Measures Wear sunscreen, hat, long sleeves and long pants.

2022 PPE

 Personal Protective Equipment.

What is PPE?

PPE can include items such as safety helmets, gloves, eye protection, hazmat suits, high-visibility clothing, safety footwear, safety harnesses, ear plugs, ear defenders and respiratory protective equipment (RPE). In appropriate situations disposable PPE may be provided; eg single-use coveralls. Employers have duties concerning the provision and use of personal protective equipment at work.

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

Overalls, Air mask, Safety goggles, Safety helmet, Gloves, Safety footwear, earplugs 

Here is a photo of me in basic PPE Include a photo if you like.

What isn’t PPE? you can use this link to help https://www.shponline.co.uk/ppe-personal-protective-equipment/

Who pays for your PPE?

The school pays for my PPE

Explain the different types/range of basic PPE that is available in the workplace.

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