Bivariate Data and Vitruvian man - Maths

 Does our class have the perfect body form?

Who is a Vitruvian man? The Vitruvian man is a drawing made by the Italian polymath Leonardo da Vinci 

What is a Vitruvian man? Leonardo da Vinci's drawing of a male figure perfectly inscribed in a circle and square, known as the "Vitruvian Man," illustrates what he believed to be a divine connection between the human form and the universe. Beloved for its beauty and symbolic power, it is one of the most famous images in the world.

 

Q - Question	Do we have the perfect body proportion?
P - Participants / Sample	I’m going to be measuring 12 boys heights and arm span from my maths class
V - Variables and Values	My two variables are arm span and height
R - Relationship

S - Step by step	Get all the participants Participants take off their shoes A participant stands up straight on the whiteboard Using a tape measure, measure their height from toe to top of the head Once again we use a tape measure, participant stands up against the whiteboard with their arms stretched out and measure their arm span
C - Control factors	Controlling and avoiding mistakes, taking off shoes, etc
C - Conditions	Using measuring tapes
R - Repeat	Repeating the measurements

I collected my data and plotted the information onto google spreadsheets. 

subject no Name	Height in meters	Arm span in meters
1 Mr. Rees	1.83	1.76
2 Zion	1.78	1.78
3 Subhnesh	1.77	1.78
4 Matthew	1.84	1.85
5 Cole	1.68	1.69
6 Zappa	1.64	1.64
7 Dan	1.85	1.85
8 Tai	1.69	1.69
9 George	1.85	1.89
10 Harry	1.71	1.34
11 Andy	1.43	1.43
12 Nick	1.76	1.76
13 Nino	1.96	1.84
14 Manase	1.98	1.98
15 Brad	1.87	1.92
16 Ricky	1.88	1.87

Analysis

Trend - The trend on this graph is a strong Linear graph. You can see that it is all bunched up together which makes it a positive linear graph. 

Direction - This graph is strongly Increasing. It is going upwards along the best fit line.

Strength - The strength on this graph is moderately strong. It is all bunched together.

Unusuals/outliers -  There are 3 outliers in this graph. The 3 outliers are the ones way off the best fit line.

Conclusion

Does our class have the perfect body proportions? Yes, I think the data I have collected shows that  95% of the class has got the perfect body proportions. We can see this in the trend, direction, and strength of the graph. The data that has been captured is a strong linear increasing scatter graph.

Maths - Area of basic shapes

Area is calculated by multiplying the length of a shape by its width. In this case, we could work out the area of this rectangle even if it wasn't on squared paper, just by working out 5cm x 5cm = 25cm² (the shape is not drawn to scale).

Pythagoras therom - Maths

Pythagoras theorem - a theorem attributed to Pythagoras that the square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.

Pythagoras, who is he? Where did he live and what did he do?Pythagoras was a Greek philosopher and mathematician.He lived in Metapontum village and Cortona. He made important developments in mathematics, astronomy, and the theory of music.

Triangle facts - Maths

Triangle facts - There are always going to be 3 sides.

                       - All angles add up to 180 degrees

                       -A triangle can always be split into 2 right angles no matter how it is constructed

  

                       

Different types of triangles - Equilateral triangle = all sides are equal

                                            - Obtuse = greater than 90 degrees

                                            -Acute = Less than 90 degrees

                                            - Scalene = None of the sides are the same

                                            -Right angle triangle = one angle is 90 degrees

                                            -Isosceles = 2 sides are always equal

MATHS - Volume

What is volume - In math, volume is the amount of space in a certain 3D object. For instance, 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.                                                                                                                                                                                                                                                                                                              formula for volume - Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height.    

English - Freedom Writers

 Unpacking themes and ideas.

Theme/Idea - the ideas the story centers around. - message we are trying to convey to the audience.

Tolerance - the quality of allowing other people to have their own attitudes, beliefs, or to behave in a particular way, even if we don't agree or approve.   

Overcoming Adversity - Pushing past/getting through something difficult or dangerous.  

The students don't respect or have a relationship with their teacher. They don't understand each other. They drew a racist picture of Jamal. The students yell at the teachers, face different directions, tell her they don't give her respect.

Andre - "why should I give my respect to you? Because you're a teacher? I don't know you. How do I know you're not a liar standing up there" 

They aren't in a headspace to learn because they don't feel safe-bring guns to school, mock each other, no tolerance for each other. Marcus - " Lady, I'm lucky if I make it to 18, we in a war! We graduating every day we live because we ain't afraid to die protecting our own"

Freedom Writters

Anne Frank-Jewish kid Anne frank was a little girl who hid from the Nazis during world war 2. She wrote in her diary every day and was later found dead.

The diary of Anne Frank-Anne Frank wrote a diary while she was hiding for 2 years from Nazi took over Germany.

Holocaust-The holocaust is the killing of many jews.

Miep Gies-Miep Gies was a dutch citezen who hid Anne Frank from the Nazis. 

Maths - Mead, Meadian, and Mode

 Writing a blog post explaining what mean, median, and mode mean. 

 

Mean-The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words, it is the sum divided by the count.

Identify - 10 + 10 + 10 = 30 divide by 3 = 10.

 This means 10 is the means  

when was it invented - The Belgian statistician Quetelet (1796-1874), famous as the inventor of l'homme moyen, the average man, was one of the first scientists to use the mean as the representative value for an aspect of a population.

 Median - The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average. The median is sometimes used as opposed to the mean when there are outliers in the sequence that might skew the average of the values. 

Identify - 1, 3, 3, 6, 7, 8, 9

 Median = 6

when was it invented - Antoine Augustin Cournot in 1843 was the first to use the term median for the value that divides a probability distribution into two equal halves. 

 Mode - The mode is the value that appears most frequently in a data set. A set of data may have one mode, more than one mode, or no mode at all. Other popular measures of central tendency include the mean, or the average of a set, and the median, the middle value in a set.

Identify  - 1, 1, 1, 3, 5, 5, 7 

The mode is 1 because it appears more frequently on the set

when was it invented - An early use of the statistical concept of the mode was by English mathematician Karl Pearson (1857-1936) in 1895 when he stated that “I have found it convenient to use the term mode for the abscissa corresponding to the ordinate of maximum frequency”  

Maths - Area

 Area -  the area can be defined as the space occupied by a flat shape or the surface.

Area of the basic shape

Rectangle

Triangle

  

Circle

Maths convertion

 

Mm                                  cm                                 M                                   Km

12000mm	1200cm	12M	0.012
5000mm	500cm	5M	0.005
1200000mm	120000cm	1200M	1.2Km
326mm	32.6cm	0.326M	0.000326km
1200mm	120cm	1.2M	0.0012Km

Parts of a tree - VOT

 Task 1 - leaves - the  leaves are apart of a tree it is connected to the branch 

                       Branch - it is a part of the tree that grows from the trunk

                        Crown - refers to the total of an individual plant's aboveground parts

                        Twig  - are the smallest branches

                        Trunk - is the stem and is the main part of the tree

                        Roots - the part of the tree that is attached to the ground to help support the tree  

Task 2 -

Task 3 -Describe how trees become timber? The trees are cut down into the right lengths and then get transported to the timber mill where it is turned into the timber.

Task 4 - Describe and explain the different types of cuts?

              Quartersawn - The log is being cut in a radial angle into four quarters.

           plain sawn - is the most common type of cut. the annular rings are 30 degrees or less to                                                 the face of the board

            Rift sawn - is the most elite cuts the log is milled perpendicular to the growth rings which are 30-60 degrees to the face of the board

Task 5 - Give an example of timbers used in NZ?  KAURI, MATAI, BLACK PINE and RIMU

Task 6 - Give an example of defects in timber? Water stains, knots, Rind gals, shakes, and upsets

                

Basic Woodworking tools

 Different types of hand tools in a tech workshop.

Engineering set squares - is used as a marking and checking tool used to assess and mark straight lines. Made up of two straight pieces (stock & blade) that work together to create a right angle at exactly 90°.

Carpenters pencil: the reason why the shape is like this is that to stop it from rolling away. You can sharpen a carpenter's pencil by using a craft knife. 

Marking gauge - A marking gauge is used in woodworking to mark out lines for cutting or other purposes. The main purpose is to scribe a line parallel to a reference edge. 

Combination square - A combination square is a multi-use measuring instrument that is primarily used for ensuring the integrity of a 90° angle, measuring a 45° angle, measuring the center of a circular object, find depth, and simple distance measurements. It can also be used to determine level and plumb using its spirit level vial.

Sliding bevel - A sliding T bevel, also known as a bevel gauge or false square is an adjustable gauge for setting and transferring angles. Different from the square, which is fixed and can only set a 90° angle, the sliding T bevel can set any angle and transfer it to another piece.