RATIOS AND PERCENT

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RATIOS AND PERCENT

• ANOTHER WAY OF LOOKING AT FRACTION !

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Lets first definewhat 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.

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What is a ratio?

• A relationship between quantities

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What is a Percent?
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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

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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.
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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.

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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)

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Summarizing

• After DIVIDINGwe get the decimal !
• To obtain the percent remember to move the
  decimal two spaces to the right

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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.

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Worksheet