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Categories: mathematicsmathematics biologybiology

Describe mathematical patterns in living organisms

1.

Mathematics is the language in which the book of nature is written .
(G.Galileo)

2.

Describe mathematical patterns in living organisms
Assessment criteria:
1. Explains mathematical laws in living organisms
2. Describes the relationship between nature and mathematics.

3.

Organisms
Key concept: Systems
Related concept: Form, Function
Global context: Identities and relationships
Statement of inquiry:
Human identity includes the impulse to help family members and also those we are not
closely related to.

4.

The first and very striking example is sunflowers . Their seeds are distributed
in such a way that they maximize the use of the entire social area without losing a
single millimeter . And they are arranged in the form of two intersecting spirals from
right to left and vice versa .

5.

Something similar happens with pineapple cells , he has 8
right - sided spirals , 3 left - sided , and 21 vertical

6.

In a pine cone , if you look closely , you can see 2 spirals , one twisted clockwise
and the other counterclockwise . The number of these spirals is 8 and 13 .

7.

The shells of the mollusks are twisted in a spiral , and if you measure
its curls , then their ratio is constant and equal to 1.618

8.

A hurricane or tornado is spiraling …

9.

Or here , for example , the simplest waves also spiral

10.

If you look at the flight of a
bird , from the front or from
behind in slow motion
In action , it can be seen that
the trajectory of the wings
during flight
Is a graph of the functions of
an algebraic equation
Namely , parabolas y=ax^2 +bx
+ c . Obviously , when flying
The wings rise up and down .
To depict this phenomenon,
It is possible to construct
parabolas defining the strokes .
When lowering the wings of
the bird, the outlines of
parabolas are also visible, but
with the branches pointing
down, T, e, the value of a is
less than 0 .

11.

At fixed points in time , if you look at fish from above or from below , you can
characterize their shape in the form of both algebraic and trigonometric
functions . When swimming , the body of the fish takes the form of a curve that
resembles the graph of the function of a cubic parabola , namely
y=x^3

12.

Describe mathematical patterns in living organisms
Assessment criteria:
1. Explains mathematical laws in living organisms
2. Describes the relationship between nature and mathematics.
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