The Fibonacci Sequence

The Fibonacci sequence is a series of numbers in which each number is the sum of the two preceding ones. It starts with 0 and 1, and the subsequent numbers are generated by adding the two previous numbers together.

The sequence begins: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, and so on.

This sequence is named after Leonardo of Pisa, who was known as Fibonacci. He introduced this sequence to the western world in his book "Liber Abaci" in 1202. However, the sequence had been previously described in Indian mathematics.

The Fibonacci sequence has many interesting properties and appears in various areas of mathematics and nature, such as the arrangement of leaves on a stem, the branching of trees, and the breeding patterns of rabbits.

Mathematically, the Fibonacci sequence can be defined by the recurrence relation:

F_n = F_n-1 + F_n-2, where F₀ = 0 and F₁ = 1

This simple formula allows us to generate the Fibonacci numbers and explore their properties in various mathematical contexts.

Overall, the Fibonacci sequence is a fascinating and important concept in mathematics, with applications in both theoretical and real-world settings.

◂Math Worksheets and Study Guides First Grade. Sequencing

Duck Race - Least to Greatest

The resources above cover the following skills:

Number and Operations (NCTM)

Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

Count with understanding and recognize 'how many' in sets of objects.

Develop understanding of the relative position and magnitude of whole numbers and of ordinal and cardinal numbers and their connections.

Develop a sense of whole numbers and represent and use them in flexible ways, including relating, composing, and decomposing numbers.

Connect number words and numerals to the quantities they represent, using various physical models and representations.

Grade 1 Curriculum Focal Points (NCTM)

Number and Operations: Developing an understanding of whole number relationships, including grouping in tens and ones

Children compare and order whole numbers (at least to 100) to develop an understanding of and solve problems involving the relative sizes of these numbers. They think of whole numbers between 10 and 100 in terms of groups of tens and ones (especially recognizing the numbers 11 to 19 as 1 group of ten and particular numbers of ones). They understand the sequential order of the counting numbers and their relative magnitudes and represent numbers on a number line.

The Fibonacci Sequence

[Fibonacci Sequence] Related Worksheets and Study Guides:

◂Math Worksheets and Study Guides First Grade. Sequencing

The resources above cover the following skills: