This document discusses patterns in nature and mathematics. It defines patterns as regular, repeated, or recurring forms or designs that identify relationships and logical connections. The document lists specific objectives about developing an understanding of patterns, identifying patterns in nature, recognizing symmetries, and explaining the presence of Fibonacci numbers. Examples of patterns discussed include geometric patterns, waves and dunes, spots and stripes, spirals, symmetries, animal movement, sunflowers, honeycombs, starfish, and patterns in the human body.

1. Mathematics in our World

2. Mathematics in our World
Specific Objectives;
1. To develop one’s understanding
about pattern;
2. To identify different patterns in
nature;
3. To recognize different symmetries
in nature; and
4. To explain the presence of
Fibonacci numbers in nature.

3. Pattern
Defined as;
 Regular
 Repeated
 Recurring forms or design
 Identify relationship
 Find logical connection to
form generalization.

4. 1. Which of the figures can be
used to continue the series given
below
Example
?
b
a
d
c
a

5. 1. Which of the figures can be
used to continue the series given
below
Example
?
b
c
d
c
a

6. 1. Which of the figures can be
used to continue the series given
below
Example
?
b
c
d
c
a

7. Pattern of Movement
 Often unpredictable
 Never quite repeatable
 Often contains fractal
Pattern of Flow
 Usually found in the water,
Stone, and even in the growth
of trees.
Pattern of Visual
 Pattern in locomotion.
Pattern of Rhythm
 The most basic pattern in
nature.
Pattern of Texture
 A quality of certain object
that we sense through
touching.

8.  Series of shapes that are
typically repeated.
Geometric Pattern
Waves and Dune

9. Spots and Stripes
Spirals

10. Reflection Symmetry
Rotational Symmetry

11. Translational Symmetry Human Body

12. Animal Movement Sunflower

13. Honeycombs/Beehive Starfish