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The magic of Fibonacci numbers

The magic of Fibonacci numbers

Algebra Tutorials A brief explanationEven people who know how to deal with fractions actually prefer not to. Equations and inequalities are great when it comes to fractions because there is a way to get rid of them. This tutorial shows you how. Not only is it useful now, it is actually mandatory when you get to standard form linear equations. Eliminating FractionsThe steps for eliminating fractions are: Okay, so step 2 makes no sense yet. Step-by-Step ExamplesEXAMPLE: What did we just do? EXAMPLE: Sometimes it's confusing if we're not working with like things. EXAMPLE:TIPThe most common mistake in this process is when students only multiply the left side of the equation by the common denominator. ONLINE PRACTICENone.

untitled Algebra 1 Online! Henrico County Public Schools Welcome to the wonderful world of Algebra 1 Online! This course contains both content that reviews or extends concepts and skills learned in previous grades and new, more abstract concepts in algebra. Students will gain proficiency in computation with rational numbers (positive and negative fractions, positive and negative decimals, whole numbers, and integers) and algebraic properties. New concepts include solving two-step equations and inequalities, graphing linear equations, simplifying algebraic expressions with exponents, i.e. monomials and polynomials, factoring, solving systems of equations, and using matrices to organize and interpret data. Students will be actively engaged using concrete and virtual materials and appropriate technologies such as graphing calculators and computer software. Mathematics has its own language, and the acquisition of specialized vocabulary and language patterns is crucial to a student’s understanding and appreciation of the subject.

Muslim rule and compass: the magic of Islamic geometric design | Science To paraphrase Monty Python, what has Islam ever done for us? You know, apart from the algebra, the trigonometry, the optics, the astronomy and the many other scientific advances and inventions of the Islamic Golden Age. Well, if you like art and interiors, there’s always the stunning patterns that grace mosques, madrasas and palaces around the world. Islamic craftsmen and artists – who were prohibited from making representations of people in holy sites – developed an instantly recognizable aesthetic based on repeated geometrical shapes. The mathematical elegance of these designs is that no matter how elaborate they are, they are always based on grids constructed using only a ruler and a pair of compasses. Islamic design is based on Greek geometry, which teaches us that starting with very basic assumptions, we can build up a remarkable number of proofs about shapes. Dust off your old geometry set, and let’s see how. The template has a circle in a square, divided into 12 equal sections.

Scientific Notation Worksheets Scientific Notation - Positive Exponents Express in Scientific Notation Each worksheet contains 14 problems rewriting whole numbers to scientific notation. Easy level has whole numbers up to 5-digits; Medium level has more than 5-digit numbers. Easy: Sheet 1 | Sheet 2 | Sheet 3 Medium: Sheet 1 | Sheet 2 | Sheet 3 Express in Standard Notation Express each scientific notation in standard notation. Easy: Sheet 1 | Sheet 2 | Sheet 3 Medium: Sheet 1 | Sheet 2 | Sheet 3 Both Standard and Scientific Notations: Each worksheet contains expressing numbers in both scientific and standard form. Easy: Sheet 1 | Sheet 2 | Sheet 3 Medium: Sheet 1 | Sheet 2 | Sheet 3 Scientific Notation - Negative Exponents Rewrite in Scientific Notation Rewrite the given decimals in scientific notation. Easy: Sheet 1 | Sheet 2 | Sheet 3 Medium: Sheet 1 | Sheet 2 | Sheet 3 Rewrite in Standard Notation Express each number in standard notation. Easy: Sheet 1 | Sheet 2 | Sheet 3 Medium: Sheet 1 | Sheet 2 | Sheet 3

Il pentagono tra geometria ed arte Alchimia, biologia, esoterismo e matematica. Tutti mescolati dentro un grande calderone di forma pentagonale, una figura che da millenni è stata caricata di ogni simbolismo possibile. Ma non è un caso: il pentagono, infatti, presenta delle proporzioni molto particolari che hanno solleticato l’immaginazione di filosofi, artisti e scienziati. Parlo della sezione aurea, la divisione di un segmento in due parti in modo tale da ottenerne una porzione che sia media proporzionale tra l’intero segmento e la parte restante. Osservate il segmento AB; ebbene, esiste un solo punto C tale che il rapporto che c’è tra l’intero segmento e il tratto AC sia uguale a quello tra AC e la parte restante. Il rapporto tra AB e AC, indicato con la lettera greca Φ, è un numero irrazionale pari a 1,618… Nel pentagono il lato BC è sezione aurea della diagonale AB. La geometria pentagonale è abbondantemente presente in natura e dimostra l’origine scientifica e biologica della sezione aurea.

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