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7 1 And 7 2 Ratio, Proportion

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7 1 And 7 2 Ratio, Proportion

  1. 1. Ratio, Proportion, and Similarity 7-1 Ratio and Proportion 7-2 Properties of Proportions
  2. 2. Announcements <ul><li>You will have a new email account: </li></ul><ul><ul><li>[email_address] </li></ul></ul><ul><ul><li>Password: maroons (you’ll need to change this) </li></ul></ul><ul><li>Next time we go to the lab that is what we will use. </li></ul><ul><ul><li>I’ll send the assignment to that email. </li></ul></ul><ul><li>If you have a chance you can log in anytime and take the quiz on Classmarker.com </li></ul><ul><ul><li>See me for a registration code if you didn’t get one yet. </li></ul></ul>
  3. 3. Ratio <ul><li>One number divided by another </li></ul><ul><ul><li>Example: Boys to girls in this class? </li></ul></ul><ul><ul><li>If there were no girls? </li></ul></ul><ul><ul><ul><li>No Ratio (denominator can’t be 0) </li></ul></ul></ul><ul><li>Ratios are usually expressed in simplest form. </li></ul><ul><ul><li>Ex. </li></ul></ul>?
  4. 4. What is the ratio of DI:IS? <ul><li>6:5 </li></ul><ul><li>8:13 </li></ul><ul><li>5:8 </li></ul><ul><li>5:2 </li></ul><ul><li>8:7 </li></ul>D I S T 10 4 12 6 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1
  5. 5. What is the ratio of IT:DS? <ul><li>6:5 </li></ul><ul><li>8:13 </li></ul><ul><li>5:8 </li></ul><ul><li>5:2 </li></ul><ul><li>8:7 </li></ul>D I S T 10 4 12 0 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1
  6. 6. Ratio (Continued) <ul><li>Ratios can be used to compare more than one thing: </li></ul><ul><ul><li>Ex. a:b:c </li></ul></ul>
  7. 7. The angles in a triangle are in the ratio 2:3:4. What are the angles? <ul><li>30, 60, 90 </li></ul><ul><li>20, 30, 40 </li></ul><ul><li>40, 60, 80 </li></ul><ul><li>60, 90, 120 </li></ul>31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 0
  8. 8. Proportions <ul><li>An equation where two ratios are equal </li></ul><ul><ul><li>Ex. </li></ul></ul>
  9. 9. Properties of Proportions Means Extremes
  10. 10. Properties of Proportions <ul><li>The product of the means equals the product of the extremes </li></ul>
  11. 11. Properties of Proportions <ul><li>More Properties </li></ul>
  12. 12. If then which is correct? <ul><li>ef = gh </li></ul><ul><li>eh = fg </li></ul><ul><li>eg = fh </li></ul>10 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1
  13. 13. SPICSA <ul><li>Page 243-244 2-22 even </li></ul><ul><li>Page 247 2-20 even </li></ul>

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