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Proportions for Pros
     Honors Math/3rd Period
   Ms. Shelly Brown-Jones 7-5
Presented by Justice Adams
Objective

• To define a proportion and its parts and terms.
• To exemplify the method of determining what
  constitutes a proportion and what does not (and
  to establish proportion to find missing terms).
• To demonstrate examples of proportions and
  non-proportions.
Defining a Proportion
Showing Ratios




• 1 boy for every 3 girls = 1:3
• ¼ boys ¾ girls (a whole equals 4/4)
• 25% or 0.25 are boys (divide 1 by 4)
The Parts and Terms of a Proportion
Testing Proportions

• Cross products are used to test whether two
  ratios are equal and form a proportion.
  • Cross products are determined by simply cross-
    multiplying a given pair of ratios.
  • An equal (=) or not equal sign (≠) is used to
    correspond with whether or not the products are
    equal or are a proportion.
Examples
Finding Missing Terms in a
        Proportion
Word Problems Using Proportions
Proportion Quiz
Proportion Quiz Answers
Summary

• A proportion exists when two ratios are equal.
  Whether a pair of ratios is equal or not equal is
  determined by multiplying extremes by means or
  cross-multiplying the given set of fractions.
  Cross products and other methods are also
  used to solve word problems using proportions,
  and generally to find a missing term in a
  proportion.
Resources
Online Math Assistance
• Visit www.math.com or www.mathisfun.com for
  assistance with proportions and other math problems.
Typing Equations
    1. To type an equation in PowerPoint (or Microsoft Word) click the
       “Insert” tab at the top of the screen and then the “Equation”
       icon.
    2. Type what you would like to be converted into a proper
       equation into the equation box (type the forward slash /
       between the numbers, without spaces, to get a proper fraction).
    3. Click enter.
Typing Mathematical Symbols
• To type mathematical symbols, like the “not equal to” sign (≠), etc.,
  click the “Insert” tab and then “Symbol” to select the appropriate symbol.
  Click insert.

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Justice Adams's Proportion Presentation ("EXPERT Math Project")

  • 1. Proportions for Pros Honors Math/3rd Period Ms. Shelly Brown-Jones 7-5 Presented by Justice Adams
  • 2. Objective • To define a proportion and its parts and terms. • To exemplify the method of determining what constitutes a proportion and what does not (and to establish proportion to find missing terms). • To demonstrate examples of proportions and non-proportions.
  • 4. Showing Ratios • 1 boy for every 3 girls = 1:3 • ¼ boys ¾ girls (a whole equals 4/4) • 25% or 0.25 are boys (divide 1 by 4)
  • 5. The Parts and Terms of a Proportion
  • 6. Testing Proportions • Cross products are used to test whether two ratios are equal and form a proportion. • Cross products are determined by simply cross- multiplying a given pair of ratios. • An equal (=) or not equal sign (≠) is used to correspond with whether or not the products are equal or are a proportion.
  • 8. Finding Missing Terms in a Proportion
  • 9. Word Problems Using Proportions
  • 12. Summary • A proportion exists when two ratios are equal. Whether a pair of ratios is equal or not equal is determined by multiplying extremes by means or cross-multiplying the given set of fractions. Cross products and other methods are also used to solve word problems using proportions, and generally to find a missing term in a proportion.
  • 13. Resources Online Math Assistance • Visit www.math.com or www.mathisfun.com for assistance with proportions and other math problems. Typing Equations 1. To type an equation in PowerPoint (or Microsoft Word) click the “Insert” tab at the top of the screen and then the “Equation” icon. 2. Type what you would like to be converted into a proper equation into the equation box (type the forward slash / between the numbers, without spaces, to get a proper fraction). 3. Click enter. Typing Mathematical Symbols • To type mathematical symbols, like the “not equal to” sign (≠), etc., click the “Insert” tab and then “Symbol” to select the appropriate symbol. Click insert.