Agenda 10/4/11<br />1.  Discuss HW<br />2.  Two-Step Ratio Problems<br />3.  Exercise 2<br />4.  Proportion<br />
Practice 1-6 pg 138<br />1.    24:30 =	<br />	 200:125 =<br />28   =<br />      21<br />
Practice 1-6 pg 138<br />2.      3.4  =<br />            1.7<br />		4 to 1000 =<br />		$560 to $320<br />
Practice 1-6 pg 138<br />3.  Alvaro makes $600 a week and saves $60 a week.  What is the ratio of the amount he makes to t...
Practice 1-6 pg 138<br />4. For Alvaro, in problem 3, what is the ratio of the amount he saves to the amount he makes?<br />
Practice 1-6 pg 138<br />There are 24 students in Sam’s English class.  Four of the students speak Armenian as a first lan...
Practice 1-6 pg 138<br />6.  Anna drove 110 miles on 22 gallons of gas.  What is the ratio of the distance she drove to th...
Two-Step Ratio Problems<br />When you are not given  both numbers you need, you may have to determine one of the numbers.<...
Two-Step Ratio Problems<br />On a test with 20 problems, Maceo got 2 problems wrong.  What was the ratio of the number of ...
Exercise 2, page 139<br />1.  A GED class of 20 students has 12 women.  <br />A.)  What is the ratio of the number of wome...
Exercise 2, page 139<br />2.  At Baxter Electronics there are 105 union workers and 45 nonunion workers.<br />A.)  What is...
Exercise 2, page 139<br />From a total yearly budget of $18,000,000, the city of McHenry spends $3,000,000 on education.  ...
Exercise 2, page 139<br />4. A math test of 50 questions included 15 fraction problems and 5 decimal problems.  What is th...
Exercise 2, page 139<br />5. There are 1213 registered voters in Paul’s village.  During the last election 887 people actu...
Proportion<br />A statement that says two ratios (or two fractions) are equal.<br />Proportion Statements<br />
Proportions<br />Remember:  cross products of equal fractions 		       are equal<br />
Proportions<br />Each of the four numbers in a proportion is called an ELEMENT or a TERM.<br />A letter usually represents...
HOW TO SOLVE<br />Step 1:  Write a statement with two equal cross products.<br />Step 2:  Divide both sides of the stateme...
HOW TO SOLVE<br />Solve for c in 3/7 = 8/c<br /><ul><li>Step 1:  Write a statement with two equal cross products.
Step 2:  Divide both sides of the statement by the number in front of the missing term.</li></li></ul><li>HOW TO SOLVE<br ...
Step 2:  Divide both sides of the statement by the number in front of the missing term.</li></li></ul><li>Exercise 3, p 14...
Proportion Word Problems<br />Make sure that the amounts being compared MUST be in the same position on either side of the...
If 12 yards of lumber cost $40, how much do 30 yards of lumber cost?<br />Step 1:  Set up two ratios of yards to cost.<br ...
Carlos got 2 problems wrong for every 5 problems right on a test.  How many problems did Carlos get wrong if there were 35...
Step 2:  Find both cross products.
Step 3:  Divide both sides of the proportion.</li></li></ul><li>The ratio of the number of men to the number of women work...
Step 2:  Find both cross products.
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Lecture from Wednesday October 4. Ratio.

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  1. 1. Agenda 10/4/11<br />1. Discuss HW<br />2. Two-Step Ratio Problems<br />3. Exercise 2<br />4. Proportion<br />
  2. 2. Practice 1-6 pg 138<br />1. 24:30 = <br /> 200:125 =<br />28 =<br /> 21<br />
  3. 3. Practice 1-6 pg 138<br />2. 3.4 =<br /> 1.7<br /> 4 to 1000 =<br /> $560 to $320<br />
  4. 4. Practice 1-6 pg 138<br />3. Alvaro makes $600 a week and saves $60 a week. What is the ratio of the amount he makes to the amount he saves?<br />
  5. 5. Practice 1-6 pg 138<br />4. For Alvaro, in problem 3, what is the ratio of the amount he saves to the amount he makes?<br />
  6. 6. Practice 1-6 pg 138<br />There are 24 students in Sam’s English class. Four of the students speak Armenian as a first language. What is the ratio of Armenian speakers to the total number of students in the class?<br />
  7. 7. Practice 1-6 pg 138<br />6. Anna drove 110 miles on 22 gallons of gas. What is the ratio of the distance she drove to the number of gallons of gas she used?<br />
  8. 8. Two-Step Ratio Problems<br />When you are not given both numbers you need, you may have to determine one of the numbers.<br />
  9. 9. Two-Step Ratio Problems<br />On a test with 20 problems, Maceo got 2 problems wrong. What was the ratio of the number of problems he got right to the total number of problems?<br />Step 1: Find the number of problems he got right.<br />20-2= 18problems right.<br />right<br />18<br />9<br />Step 2: Make a ratio of the number of problems he got right to the total number of problems.<br />20<br />total<br />10<br />Reduce.<br />
  10. 10. Exercise 2, page 139<br />1. A GED class of 20 students has 12 women. <br />A.) What is the ratio of the number of women to the total number of students?<br />B.) What is the ratio of the number of men to the total number of students?<br />C.) What is the ratio of the number of men to the number of women?<br />D.) What is the ratio of the number of women to the number of men?<br />
  11. 11. Exercise 2, page 139<br />2. At Baxter Electronics there are 105 union workers and 45 nonunion workers.<br />A.) What is the ratio of the number of union workers to the total number of workers?<br />B.) What is the ratio of the number of nonunion workers to the total number of workers?<br />C.) What is the ratio of the number union workers to the number of nonunion workers?<br />D.) What is the ratio to the number of workers to the number of union workers?<br />
  12. 12. Exercise 2, page 139<br />From a total yearly budget of $18,000,000, the city of McHenry spends $3,000,000 on education. What is the ratio of the amount spent on education to the amount not spent on education?<br />
  13. 13. Exercise 2, page 139<br />4. A math test of 50 questions included 15 fraction problems and 5 decimal problems. What is the ratio of the total number of fraction and decimal problems to the number of questions on the test?<br />
  14. 14. Exercise 2, page 139<br />5. There are 1213 registered voters in Paul’s village. During the last election 887 people actually voted. Which of the following is approximately the ratio of the number of people who voted to the total number of registered voters?<br />
  15. 15. Proportion<br />A statement that says two ratios (or two fractions) are equal.<br />Proportion Statements<br />
  16. 16. Proportions<br />Remember: cross products of equal fractions are equal<br />
  17. 17. Proportions<br />Each of the four numbers in a proportion is called an ELEMENT or a TERM.<br />A letter usually represents the missing term.<br />
  18. 18. HOW TO SOLVE<br />Step 1: Write a statement with two equal cross products.<br />Step 2: Divide both sides of the statement by the number in front of the missing term.<br />
  19. 19. HOW TO SOLVE<br />Solve for c in 3/7 = 8/c<br /><ul><li>Step 1: Write a statement with two equal cross products.
  20. 20. Step 2: Divide both sides of the statement by the number in front of the missing term.</li></li></ul><li>HOW TO SOLVE<br />Solve for y in the proportion 5:y=2:8<br /><ul><li>Step 1: Write a statement with two equal cross products.
  21. 21. Step 2: Divide both sides of the statement by the number in front of the missing term.</li></li></ul><li>Exercise 3, p 1411-5<br />
  22. 22. Proportion Word Problems<br />Make sure that the amounts being compared MUST be in the same position on either side of the = sign.<br />
  23. 23. If 12 yards of lumber cost $40, how much do 30 yards of lumber cost?<br />Step 1: Set up two ratios of yards to cost.<br />Step 2: Find both cross products.<br />Step 3: Divide both sides of the proportion.<br />
  24. 24. Carlos got 2 problems wrong for every 5 problems right on a test. How many problems did Carlos get wrong if there were 35 problems on the test?<br /><ul><li>Step 1: Set up two ratios of wrong to total
  25. 25. Step 2: Find both cross products.
  26. 26. Step 3: Divide both sides of the proportion.</li></li></ul><li>The ratio of the number of men to the number of women working in the county hospital is 2:3. If 480 women work in the hospital, how many men work there?<br /><ul><li>Step 1: Set up two ratios of ________to ________.
  27. 27. Step 2: Find both cross products.
  28. 28. Step 3: Divide both sides of the proportion.</li></li></ul><li>Manny Drove 110 miles in 2 hours. Which expression shows the distance he can travel in 5 hours if he drives at the same speed?<br /><ul><li>Step 1: Set up two ratios of ________to ________.
  29. 29. Step 2: Find both cross products.
  30. 30. Step 3: Divide both sides of the proportion.</li></li></ul><li>Exercise 4, page 143-144<br />1-10<br />

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