Lesson 1: Patterns in Nature (Fibonacci Sequence)

Question 1

It is a detailed pattern that looks similar at any scale and repeats itself overtime. It gets more complex as it is observed at larger scales.

Answer 1

FRACTALS

Question 2

It is a curved pattern that focuses on a center point and a series of circular shapes that revolve around it.

Answer 2

SPIRALS

Question 3

It provides clues to nature’s tendency to favor efficiency: the nearest neighbor, shortest path, and tightest fit.

Answer 3

VORONOI

Question 4

It is a design or pattern in which a shape is used repeatedly to cover a plane with no gaps, overlaps, or empty spaces.

Answer 4

TESSELLATION

Question 5

A pattern made with only one type of regular polygon.

Answer 5

REGULAR TESSELLATIONS

Question 6

If the same combination of regular polygons meets at each vertex, it is called a _______.

Answer 6

SEMI-REGULAR TESSELLATIONS

Question 7

The figures used are irregular polygons and may be the same or different types.

Answer 7

IRREGULAR TESSELLATIONS

Question 8

A _______ changes a figure into another figure.

Answer 8

TRANSFORMATION

Question 9

The new figure formed by a transformation is called the _______.

Answer 9

IMAGE

Question 10

________ is when different sides of something are alike.

Answer 10

SYMMETRY

Question 11

What are the 4 kinds of transformation?

Answer 11

REFLECTION, ROTATION, TRANSLATION, and DILATION

Question 12

A _______, or flip, is a transformation in which a figure is reflected in a line called the line of ________.

Answer 12

REFLECTION

Question 13

A _____ is a transformation that turns a figure about (around) a point or a line. The operation of _____ of a figure in a place involves turning the figure about a given point in a place, called the center of _____.

Answer 13

ROTATION

Question 14

A _____ is a transformation in which a figure slides but does not turn across a plane or through space. It is when a figure moves without changing size or shape.

Answer 14

TRANSLATION

Question 15

A _____ is a transformation in which a figure is made larger or smaller with respect to a point called the center of _____.

Answer 15

DILATION

Question 16

It is named after a 13th century Italian Mathematician, Leonardo of Pisa who was known as Fibonacci (meaning son of Bonacci), each number in the sequence is created by adding the previous two together.

Answer 16

FIBONACCI SEQUENCE

Question 17

The ratio of two successive numbers in Fibonacci’s series. It is a special number found by dividing a line into two parts so that the longer part divided by the smaller part is also equal to the whole length divided by the longer part. It is also known as the Golden Section, Golden Mean, Divine Proportion or Greek letter Phi (𝜑)

Answer 17

GOLDEN RATIO