HUMAN BODY

Maria Rosa Latorre & Esther Font

CONTENT

MEASURE. UNIT

PROPORTION

VOLUME

SKELETON MUSCLES

COGNITION

UNDERSTANDING

MAKING HYPOTHESIS

REMEMBERING

3D-FIGURES SKELETON PARTS

MUSCLES

PROPORTION FIBONACCI NUMBERS MEASURE

ANALYSING

CREATING

APPLYING EVALUATING

DISCUSSING IF A METHOD IS GOOD

WRITE YOUR THEORY ABOUT VOLUME MEASUREMENT

CALCULUS OF MEASURES AND RATIOS

ESTIMATING MEASURES

COMMUNICATION

GEOMETRICVOCABULARY

LANGUAGE OF LEARNING

SKELETONVOCABULARY

MUSCLESVOCABULARY

LANGUAGE FOR LEARNINGMAKING HYPOTHESIS AND SUGGESTIONS

EXPRESSING OPINIONS

PRESENT AND DEFEND AN ARGUMENT

DISCUSSING IDEAS

LANGUAGE THROUGH LEARNING

ANALYSING

SPEAKING SPONTANEOUSLY

QUESTIONING

BASIC ENGLISH STRUCTURES

ABOUT GEOMETRY AND ANATOMY

READING

LANGUAGE FOR DESCRIBING PARTS

OF THE BODY AND 3D FIGURES

READING SKILLS

ASKING AND ANSWERING QUESTIONS

CULTURE

ANCIENT BODY MEASURE UNIT

DISEASES AND ILLNESSES

TRIDIMENSIONAL OBJECTS IN DAILY LIFE

MEASURE USUAL

SYSTEM

Use your HAND , ELBOW, FEET length to calculate your classroom length

EXERCISE 1:

From Ancient times, men used parts of their bodies to measure .

So,

Match these body measures with their meaning

Digit:

28th part of a

cubit.

Width of a

finger.

Approx

Inch:

Width of man's thumb

Palm:

Width of man's palm

Hand:

Width of man's hand

Span:

Width of man's spread fingers

11.6 inches (approx). Rom

an

Roman foot:

EXERCISE 2a:

Match these measures with the numbers

Palm:

3 inches

Hand: 4 inches

Span:

9 inches

11.6 inches (approx)

Roman foot: 30,5cm

foot:

EXERCISE 2b:

Use the following words in order to build a sentence that explains what the volume is. You have to use some extra words

VOLUME OBJECTS COMPARE

IS NOT VOLUME VOLUME TIMES

FITS

EXERCISE 3:

This is a cube which sides measure 1 metre: 1 cubic metre

How many people could you put inside ?

Check your answer using the cubic metre and your classmates

EXERCISE 4:

Do you know this picture?

Make a list of some mathematical content you can find in it

EXERCISE 5:

This is the Vitruvian man by Leonardo da Vinci

The golden ratio, also known as the divine proportion or golden section, is a number often encountered when taking the ratios of distances in simple geometric figures such as the pentagon, pentagram, decagon and dodecahedron.

Do you know the golden ratio?

THE GOLDEN RECTANGLE

SIDES RATIO 1:x

the a into unique in rectangle the sides results original in as has rectangle the defined also new partitioning is which and that PHI rectangle square such ratio new a number

WRITE THIS SENTENCE IN ORDER:

ANSWER: PHI is defined as the unique number such that partitioning the original rectangle into a square and new rectangle results in a new rectangle which also has sides in the ratio

PHI: 1 = 1: PHI-1

EXERCISE 6:

• Phi is one of the two great treasures of geometry

• Phi or , which is 1.618 0339 887 ..., was described by Johannes Kepler as one of the "two great treasures of geometry." (The other is the Theorem of Pythagoras.)

LOOK FOR THE GOLDEN NUMBER IN YOUR BODY PARTS

Let’s have a look at your index finger:

Consider that your fingernail is 1 unit in length and complete the following table:

Fingernail Pink Line Green Line Yellow Line Blue Line

1

EXERCISE 7:

We divide each by the number before it, we will find the following series of numbers:

1/1 = 1, 2/1 = 2, 3/2 = 1·5, 5/3 = 1·666..., 8/5 = 1·6, 13/8 = 1·625, 21/13 = 1·61538...

Each section of your index finger, from the tip to the base of the wrist, is larger than the preceding one by about the Fibonacci ratio of 1.618, also fitting the Fibonacci numbers 2, 3, 5 and 8.

The ratio seems to be settling down to a particular value, which we call the golden ratio or the golden number

.

Calculate the ratio of your forearm to hand:

Let’s see some other ratios

Your hand creates a golden section in relation to your arm, as the ratio of your forearm to your hand is also 1.618, the Divine Proportion.

COULD YOU FIND THE GOLDEN NUMBER IN OTHER PARTS OF YOUR BODY?

EXERCISE 8:

BODY

The human body is based on Phi and 5The human body illustrates the Golden Section or Divine Proportion. We'll use the same building blocks again:

Check if the relation between a man’s height and his navel height is the golden relation

The Divine Proportion in the Body

Check if the relation between hip height and knee height is the golden relation

EXERCISE 9:

The human face abounds with examples of the Golden Section or Divine Proportion. We'll use our

building blocks again to understand design in the face:

The head forms a golden rectangle with the eyes at its midpoint. The mouth and nose are each placed at golden sections of the distance between the eyes and the bottom of the chin. The beauty unfolds as you look further.

he human face is based entirely on Phi

                                                                                                                     The human face is based entirely on Phi

The Human Lungs

( ) It was determined that in all these divisions

( ) This asymmetrical division continues into the subsequent subdivisions of the bronchi.

( ) one long (the left) and the other short (the right).

( ) The windpipe divides into two main bronchi,

( ) the proportion of the short bronchus to the long was always 1/1.618.

Number the following lines in the correct order:

EXERCISE 10:

LOOK AT THESE EXAMPLES:

The DNA spiral is a Golden Section

HEALTH AND PROPORTIONFill in the gaps with one of the following words:

breathing / shorter / length / cheek/ health /race

Ideal facial proportions are universal regardless of .........., sex and age, and are based on the phi ratio of 1.618. For example, if the width of the face from .......... to .......... is 10 inches, then the .......... of the face from the top of the head to the bottom of the chin should be 16.18 inches to be in ideal proportion.

Deviations from this ideal can result in .......... problems. Corrective procedures that return the face to this ideal can improve ........... For example: People with longer than ideal faces tend to have ..........problems, people with .......... than ideal faces tend to have jaw problems or headaches.

EXERCISE 11:

What volume do you think you occupy?

EXERCISE 12:

Think about different ways to measure or calculate your volume.

Discuss with your classmates if all the methods are possible or not.

EXERCISE 13:

Write your conclusions about how you would measure the volume of any irregular object

EXERCISE 14:

HUMAN SKELETON

HUMAN ANATOMY

THE END