Indices

Indices

What are indices in maths? An index, or power, is the small floating number that appears after a number or letter. Indices show how many times a number or letter has been multiplied by itself. Maths. Number. Link to article

What are the rules around them? Indices are used to show numbers that have been multiplied by themselves. They can also be used to represent roots, such as the square root, and some fractions. The laws of indices enable expressions involving powers to be manipulated more efficiently than writing them out in full. Link to article

What happens to positive and negative numbers? If the first number is negative and the indices is an even number, the final product will always be a positive number. If the first number is negative and the indices is an odd number, the final product will always be a negative number. Link to article

PPE in engineering

 Personal Protective Equipment.

What is PPE? Personal protective equipment

What are the basic requirements for PPE here at the HHS workshop? safety glasses, proper footwear 

What isn’t PPE? Normal clothes or uniforms not designed for the workshop, any extra accessories such as rings, bracelets, and ear piercing 

Who pays for your PPE? The school or if your working a job the company should supply it unless you are choosing to provide  your own

Explain the different types/range of basic PPE that is available in the workplace. Different types of hearing protection such as earmuffs and earplugs are used to protect your hearing. There are also overalls that you can wear, overalls can stop you from getting materials on your normal clothes. Safety glasses, welding helmets, 

What are examples of task-specific PPE? Welding, welding helmet, overalls, and gloves. Sanding, safety glasses, and a dust mask.

Vitruvian man (Bivariate data)

Vitruvian Man

What is Vitruvian man? The Vitruvian Man is a drawing made by the Italian polymath Leonardo da Vinci in about 1490. It is accompanied by notes based on the work of the Roman architect Vitruvius. The Vitruvian Man, a late 15th-century drawing, is a prime example of such work. Intended to explore the idea of proportion, the piece is part work of art and part mathematical diagram, conveying the Old Master's belief that “everything connects to everything else.

Question: Do we have the perfect body proportions in this class as per Vitruvian man 

The perfect body proportions (your wingspan is the same as your height).

Plan: Some factors that need to be controlled are making sure people aren't wearing shoes this

could lead to an increase in height and will make my measurements incorrect. I may need to

repeat measurements just to make sure that they are accurate. I will also make sure that I

measure from their longest finger to the other longest finger. 

Data: My two variables are going to be height and wingspan. My data is going to be collected from

year 11 boys in L1VO.

Q: Do we have the perfect body proportions

P: Who are the participants 

V: Variables and values

R: Relationship. What are you expecting 

S: Step by step

C: Control
C: Conditions
R: Repeat

T - Trend 

D - Direction

S - Strength 

U - Unusual outliers 

Trend: Linear 

Direction: Increasing

Strength: Moderate 

Unusual outliers: 1

In conclusion, the answer to our question (does our class have the perfect body proportion) is no the class does not have the perfect body proportion. 25% (5/20) of the class does have the perfect proportions everyone else has an uneven wingspan to height ratio.

Sawhorse Woodwork

Manufacture of a Sawhorse using Hand tools for my Building Construction  Industry Trades Organization qualification.

In term 1 2021 I learned how to use hand tools to manufacture a Saw Horse to a specific size from a set of drawings. This took about 6 weeks (24 hrs) I will explain how to make a sawhorse in this blog post

Here is my finished project.

This project was made by using hand tools only. No powered tools were used apart from a battery-powered drill to drill the holes for the screws.

I enjoyed drilling in my legs the most because it meant that I was getting closer to finishing my work

I found cutting the bottom of the legs the most difficult part because I had to get the measurements right or else my work wouldn't sit on the ground evenly. I overcame this by checking multiple times to make sure all my measurements were correct.

To make a sawhorse I carried out the following processes.

Tools I used:

Hand Saw

Chisel

Wooden Mallet

Try Square

Drills

Sliding Bevel

Marking Gauge

Plane

Combination square

For the first day or two, I was measuring my lines to cut the space where my legs would be put in. Once I marked the lines I began cutting but I couldn't cut all of it, I had to use a chisel to get the middle pieces out. Once I had finished that I needed to cut my legs out. When cutting my legs I had to cut them on an angle so that they would fit in perfectly. I then had to plane the legs down to the right angle then cut a little corner piece so they would fit. After that I needed to drill them in, most of my leg pieces fit in well. After that, I cut out the support plates and drilled them on. I then cut my support beam that goes underneath out and drilled it in and it fit well. After all that I just had to cut my feet down to size and to a flat angle so they sat flat on the ground and then I was done

• Marking out the top.

• Cutting the joints

• Hand sawing the leg ends.

• Marking out / planing the legs

• Fixing the legs

• Attaching the end piece and support.

 

Different Graphs and Their Uses

 What are the different types of graphs and their uses?

Bar Graph: A Bar Graph is used to compare things between different groups or to track changes over time. However, when trying to measure change over time, bar graphs are best when the changes are larger.

 

 

Pie graph: A pie graph can be used to show percentages. A pie chart is a circular statistical graphic, which is divided into slices to illustrate numerical proportion. In a pie chart, the arc length of each slice is proportional to the quantity it represents. Pie charts are best to use when you are trying to compare parts of a whole. They do not show changes over time. 

 

 

Donut Graph: A donut graph is used to show the proportions of data. The donut graph was created using a count of features. Displaying values or percentages in data labels is very useful in a doughnut chart, but if you want to compare the data points side by side, you should use a stacked column or stacked bar chart instead. Consider using a doughnut chart when: You have one or more data series that you want to plot.

 

 

 

Line chart: A line chart is a graphical representation of an asset's historical price action that connects a series of data points with a continuous line. This is the most basic type of chart used in finance, and it typically only depicts a security's closing prices over time. Line graphs are used to track changes over short and long periods of time. When smaller changes exist, line graphs are better to use than bar graphs. Line graphs can also be used to compare changes over the same period of time for more than one group.

 

 

Scatter Graph: A scatter plot’s primary uses are to observe and show relationships between two variables. The dots in a scatter plot represent the values of the data that you have received. 

How to work out volume with different shapes

 How to work out the volume?

What do we mean by volume?

the amount of space that a substance or object occupies or that is enclosed within a container.

How do we measure it?

In math, volume is the amount of space in a certain 3D object. For example, a fish tank has 3 feet in length, 1 foot in width, and two feet in height. To find the volume, you multiply length times width times height, which is 3x1x2, which equals six. So the volume of the fish tank is 6 cubic feet.

Is there a conversion to liters?

A liter is a cubic decimetre, which is the volume of a cube 10 centimeters × 10 centimeters × 10 centimeters (1 L ≡ 1 dm3 ≡ 1000 cm3). Hence 1 L ≡ 0.001 m3 ≡ 1000 cm3 and 1 m3 (i.e. a cubic meter, which is the SI unit for volume) is exactly 1000 L.

The volume of a rectangle

To find the volume of a rectangle, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

The volume of a cylinder

A cylinder's volume is π r² h, and its surface area is 2π r h + 2π r²

The volume of a prism 

-Volume of a rectangular prism = (length x width x height) cubic units. V = (l x w x h) cubic units

The volume of a barrel

When used to denote a volume, one barrel is exactly 42 US gallons and is easily converted to any other unit of volume

The volume of a cone

The formula for the volume of a cone is V=1/3hπr²

Basic Shapes

 

Area of basic shapes

 How to find the area of a rectangle:

 

How to find the area of a triangle:  Video link-  Area of a triangle

How to find the area of a circle: