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

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

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

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

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

- is a study of patterns.

- 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.

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

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

- 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.

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

- are usually the first to be observed.

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

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

- 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.

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

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

- are observed in nature and in art.

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

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

Patterns in nature are often more _____.

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

- 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.

- 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.

- 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.

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

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.

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 __________.

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

Formula for Angle of rotation

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

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.

- 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.

formula for the Exponential Growth

Symbol for size of the population after it grows

Symbol for the initial number of people

Symbol for the rate of growth

Symbol for time

Approximate value of Euler's constant

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

Examples of Patterns