Ratios & Proportions
Ratio <ul><li>A comparison of two numbers. </li></ul><ul><li>The numbers do not have to be related </li></ul><ul><li>A to ...
Proportion <ul><li>Two ratios that are equal </li></ul>
Means & Extremes <ul><li>a & d  are extremes – first and last. </li></ul><ul><li>b & c  are means.  </li></ul><ul><li>If t...
Means & Extremes <ul><li>Use Means & Extremes to decide if each set of ratios is a proportion. </li></ul>Yes Yes no no
Solve the Proportions <ul><li>Cross Multiply and Divide  </li></ul><ul><li>OR </li></ul><ul><li>Some you can just figure o...
Solve the Proportions 3 4.8 15 15
Review <ul><li>What is a ratio? </li></ul><ul><li>How do you know if two ratios are equal? </li></ul><ul><li>How to you fi...
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Proportions

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Proportions

  1. 1. Ratios & Proportions
  2. 2. Ratio <ul><li>A comparison of two numbers. </li></ul><ul><li>The numbers do not have to be related </li></ul><ul><li>A to B </li></ul><ul><li>A : B </li></ul><ul><li>A/B (looks like a fraction – BUT it isn’t a fraction because it isn’t part of a whole!) </li></ul><ul><li>What are some things we can compare using ratios? </li></ul>
  3. 3. Proportion <ul><li>Two ratios that are equal </li></ul>
  4. 4. Means & Extremes <ul><li>a & d are extremes – first and last. </li></ul><ul><li>b & c are means. </li></ul><ul><li>If the above is a proportion, then ad = bc </li></ul><ul><li>Or the means = the extremes </li></ul>
  5. 5. Means & Extremes <ul><li>Use Means & Extremes to decide if each set of ratios is a proportion. </li></ul>Yes Yes no no
  6. 6. Solve the Proportions <ul><li>Cross Multiply and Divide </li></ul><ul><li>OR </li></ul><ul><li>Some you can just figure out by </li></ul><ul><li>Equivalent Fraction Methodology </li></ul>
  7. 7. Solve the Proportions 3 4.8 15 15
  8. 8. Review <ul><li>What is a ratio? </li></ul><ul><li>How do you know if two ratios are equal? </li></ul><ul><li>How to you find the missing part of a proportion? </li></ul>

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