1. RATIOS AND PERCENT …ANOTHER WAY OF LOOKING AT FRACTION !

2. Let’s first define…what is a fraction? A fraction is a way of expressing a number. Ratios are expressed as a fraction or by placing colons into the numbers between the amounts present. A fraction consists of two numbers, a numerator which gives the number of equal parts and a denominator which gives the number of those parts that make up a whole. For example, the fraction 3⁄4 could be used to represent three equal parts of a cake, where the whole cake is divided into four equal parts.

3. What is a ratio? A relationship between quantities…

4. What is a Percent?

5. The Relationship Among Fractions, Decimals, Percents : All represent a part of a whole A fraction is based on the number into which the whole is divided (the denominator). The numerator (the top) is the PART, the denominator (the bottom) is the WHOLE. A decimal is based on the number in terms of tenths, hundredths, thousandths, etc. A percent is based on the number in terms of 100. Fraction Decimal Percent

6. Fibonacci rectangles and the Shell Spiral Each new square is as long as the sum of the latest two square's sides …1,1,2,3,5,8,13,21,.. The spiral drawn in the squares, a quarter of a circle in each square.

7. Fibonacci and the Golden Ratio What happens when we take the ratios and we divide each number by the one following number: 1/1, 1/2, 2/3, 3/5, 5/8, 8/13,..? Plot a graph of these ratios and see if anything similar is happening.

8. Summarizing…. The first thing is to convert the fraction into a decimal. Remember…. The denominator (number at the bottom of the fraction) is the devisor (outside the house), and the numerator (number on the top of the fraction) id the dividend (the number inside the house)

9. Summarizing… After DIVIDING…we get the decimal ! To obtain the percent… remember to move the decimal two spaces to the right

10. Sunshine State Standards FL.MA.A.1.3. - The student describes the meanings of positive rational numbers using part/whole relationships and relative size comparisons in real-world situations. MA.A.1.3.3. - The student describes the meanings of positive rational numbers using part/whole relationships and relative size comparisons in real-world situations. MA.A.1.3.3.6.2. - The student describes the meanings of positive rational numbers using part/whole relationships and relative size comparisons in real-world situations. MA.A.1.3.4. - The student knows the relationships among fractions, decimals, and percents. MA.A.1.3.4.6.1. - The student knows the relationships among fractions, decimals, and percents. MA.A.1.3.4.6.2. - The student expresses a given quantity in a variety of ways, such as fractions, decimals, or numbers expressed as percents. MA.A.1.3.4.6.3. - The student knows whether numbers expressed in different forms are equal. MA.A.1.3.4.6.4. - The student converts a number expressed in one form to its equivalent in another form.

11. Worksheet