- is a science which involves logical reasoning, drawing conclusions from assumed premises, and strategic reasoning based on accepted rules, laws, or probabilities.

- are usually the first to be observed.

Examples of Patterns

- is a study of patterns.

Formula for Angle of rotation

The smallest angle that a figure can be rotated while still preserving the original formation is called the __________.

Approximate value of Euler's constant

- this figure follows the rule that as the distance from the spiral center increases (radius), the amplitudes of the angles formed by the radii to the point and the tangent to the point remain constant.

- are observed in nature and in art.

Patterns in nature are often more _____.

- shows what may have come before.

- it organizes information so that it becomes more useful. The human mind is programmed to make sense of data or to bring order where there is disorder.

- they appear in paintings, drawings, tapestries, wallpapers, tilings, and carpets.

1, 1, 2, 3, 5, 8, 13, 21, 34, 55 ...

- has become a diverse discipline that deals with data, measurements, and observations from science and works with models of natural phenomena, human behaviour, and social systems.

A pattern does not need to repeat exactly as long as it provides a way of “_______” the artwork.

The figure above is symmetric about the axis indicated by the dotted line. Note that the left and right portions are exactly the same. This type of symmetry, known as __________, is evident in most animals, including humans.

- Is an art which studies patterns for predictive purposes or a specialized language which deals with form, size, and quantity.

- indicates that you can draw an imaginary line across an object and the resulting parts are mirror images of each other.

Symbol for size of the population after it grows

- it seeks to discover relationships and connections between seemingly unrelated bits of information.

formula for the Exponential Growth

- it reveals patterns that help individuals better understand the world and predict what comes next, imagine what came before, and estimate if the same pattern will occur when variables are changed.

- it deals with the characteristics of various objects while another deals with order.

According to a theory by ______, the man famous for breaking the Enigma code during the World War II, chemical reactions and diffusion processes in cells determine these growth patterns. More recent studies addressed the question of why some species grow vertical stripes while others have horizontal ones.

Mathematics is ________. People from around the world use math to get things done.

- is an arrangement which helps observers anticipate what they might see or what happens next.

- the focus here is patterns in form and in syntax, which lead directly to the study of language in general and digital communication in particular.

Note that if the spiderwort and starfish be rotated by several degrees, the same appearance as the original position will be achieved. This is known as __________.

- involve finding the optimum method of filling up a given space such as a cubic or spherical container.

- it allows one to observe, hypothesize, discover, and create.

Moving on into the higher grades, students again encounter number patterns through the __________, which is a formal description of the relationships among different quantities.

Symbol for the initial number of people

- a set of tools or a collection of skills that can be applied to questions of “how many” or “how much”.

Symbol for time

- is a motif or design that depicts abstract shapes like lines, polygons, and circles, and typically repeats like a wall paper.

- being able to tell which things are blocks and which are not precede learning to count blocks.

- patterns that can be found in language like the morphological rules on pluralizing nouns or conjugating verbs for tense, as well as the metrical rules or poetry.

- it provides many examples of patterns, including symmetries, spirals, tilings, stripes, and fractional dimensions.

Symbol for the rate of growth

- are seen on aptitude tests in which takers are shown a sequence of pictures and asked to select which figures comes next among several choices.

- is defined as the study of numbers and arithmetic operations.

- indicate a sense of structure and organization that it seems only humans are capable of producing these intricate, creative, and amazing formations. It is from this perspective that some people see an “intelligent design” in the way that nature forms.