Tuesday, August 17, 2021

Bivariate data

 Problem:

Does our body have ideal proportions in the classroom?



Plan:

Two variables:

1-Wingspan (Response)

2-height (Explanatory) 


Our aim is to measure the wingspan of ten children in the classroom and compare their height to their wingspan. Before we begin, we will remove the participants' shoes in case of a false reading and ensure that their arm is straight, not angled and that their torso is up straight for the wingspan.


Participants:10 students


Relationship-We'll compare the wingspan measures to the participant's height to see if they match. 


Errors that will need to be avoided:

-Because of the measurement's inaccuracy, shoes will have to be removed.

-Clothing that is too baggy will have to be taken off as well.

-Hair is going to be let down 



Data:

I'll need to record the results of the measurement. So make a note of your height in metres and your wingspan in metres. To acquire an accurate measurement, we'll employ the guidelines from the plan to accurately collect the data.


Student

Height (M)

Armspan (M)

Matthew 



Rusi



Zion



Zapa



Subhnesh



Jahmayne



Adelaide



Cole



David



Andre







Q-Question

Does our body have ideal proportions in the classroom?

P-Participants

Year 11 students-(10 students)

V-Variable

Height-(Explanatory

Wingspan-(Response)

R-Relationship

What are we going to expect?

For the Wingspan to be the same as the height.





S-Step by step


C-Control factors

Avoiding mistakes, trying to control them like false readings.

C-Conditions


R-Repeat

Repeating the same measurements


Thursday, July 8, 2021

Mean/Median mode

 Mean-THE AVERAGE OF THE NUMBERS IS THE MEAN. CALCULATION IS EASY: ADD UP ALL THE NUMBERS, THEN DIVIDE BY THE NUMBER OF NUMBERS. IN OTHER WORDS, THE COUNT DIVIDED BY THE SUM.

For example, 10 + 10 + 10 + 10 = 50 50 5=10.10

Who Invented the Term "Mean"?

Quetelet (1796-1874), a Belgian statistician who is best known as the originator of l'homme moyen (the typical man), was one of the first scientists to employ the mean as a representative figure for a population

Who Was the Inventor of Mode? In 1895, English mathematician Karl Pearson (1857-1936) used the statistical idea of the mode for the first time.

Who is the inventor of Median?

The concept of the median first arose in the Talmud in the 13th century, as a way to objectively examine divergent appraisals. The hypothesis, however, did not catch on with the rest of the scientific world.

Link:Math/Mean,Median and Mode

Math/Mean, Median, and Mode (Math/Mean, Median, and Mode) (Math/Mean,

What does it imply?

It's the sum (total) of all the values in a set of data, such numbers or measurements, divided by the number of values on the list. Add up all of the values in the set to find the mean. Then divide the total by the number of values..


What exactly is Mode Math? In a data set, the mode is the number that appears the most frequently.


What is Median Math, and how does it work?


Place the numbers in value order and pick the middle number to find the Median.




Converting mm to M

 

Maths (Converting Units)


 MM                           CM                                     M                                      Km

12000mm

1200cm

12m

0.00012

5000mm

500cm

5m

0.005km

1,200,000mm

120,000cm

1,200m

1.2k

326mm

32.6cm

0.326m

0.00326km

1200mm

120cm

1.2m

0.0012km



  In Math we were converting unit's like millimetres,centimetres,metres and kilometres.In this chart here we are converting these to other units.


Circle facts and terminology

circle facts and terminology 

What is the formula for calculating the circumference of a circle?


Using radius as a formula


2r = circumference


If you use diameter=


PI = 22/7 or 3.141 Radius = 26000mm Diameter = 520000


I'm going to divide the radius in cm by 100 to convert it to M.


260 m = 26000/100


1633.62817987 = Cir 2 x PI x 260

area of shapes


how to find the area of a rectangle:


 
how to find the area of a triangle:



how to find the area in a circle:











Triangle facts

1- triangle facts

The total of a triangle's interior angles is always 180o, regardless of how the triangle is created.

Any of a triangle's sides are shorter than the total of the other two sides.

No matter how a triangle is made, it can always be broken into two right triangles.


2- types of triangles

equilateral, right isosceles, obtuse isosceles, acute isosceles, right scalene, obtuse scalene, and acute scalene.


3- Pythagoras

Who- Pythagoras was a Greek mathematician and philosopher. He probably visited the philosophers Thales and Anaximander on the island of Miletus as part of his schooling when he was around 20 years old. Later, he established his renowned school in Croton, Italy.


When- Pythagoras lived between approx. 570 and ca. 490 BCE


Where-He grew up on the Greek island of Samos, off the coast of modern-day Turkey.


What- The square of the hypotenuse of a right triangle equals the sum of the squares of the other two sides, according to a geometric theorem.


4- how does Pythagoras theorem work

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 hypotenuse is the longest side and usually runs in the opposite direction as the right angle.




Friday, March 19, 2021

volume of a rectangle

 how to work out the volume


what do we mean by volume
L3. Volume is the amount of three-dimensional space enclosed by a closed surface, such as the space occupied or contained by a substance (solid, liquid, gas, or plasma). The SI derived unit, the cubic metre, is frequently used to quantify volume numerically.

how do we measure it
In mathematics, volume refers to the amount of space occupied by a 3D object. A fish tank, for example, is three feet long, one foot wide, and two feet tall. To get the volume, multiply the length by the breadth by the height, which is 3x1x2, or six. As a result, the fish tank has a volume of 6 cubic feet.

is there a convertion to litres
The cubic inches multiplied by 0.016387 equals the capacity in litres. For example, using the formula above, you can convert 5 cubic inches to litres. Both cubic inches and litres are units for measuring volume.

volume of a rectangle
Multiply the length, the width, and the height.

The formula for finding the volume of a rectangular prism is the following: Volume = Length * Height * Width, or V = L * H * W.

volume of a cylinder
  1. V = A h.
  2. Since the area of a circle = π r 2 , then the formula for the volume of a cylinder is:
  3. V = π r 2 h.

volume of a prism
  1. Remember the formula for calculating volume is: Volume = Area by height. V = A X h.
  2. For a triangle the area is calculated using the formula: Area = half of base by altitude. A = 0.5 X b X a.
  3. So to calculate the volume of a triangular prism, the formula is: V = 0.5 X b X a X h.




what is the volume of the pool

Length=8m
Width=3m
Height=1.2m
L x W x H=28.8m
28.8m x 1000= 28800mL

the pool is on a deck how heavy is the pool?