2. Are you here? Warm Up: Give examples and/or counterexamples to show whether each statement is true or false. Let 0 < a < b < c. a/b < b/c ? a/c > c/a ? c/b < b/a? (ac)/b = (ab)/c ?

3. Agenda Yamalet Video –Review Word Problems Alexa Video –Review Pictorial Models 3 Practice Problems Assign homework

4. Yamalet Watch the video. On page 21, the follow-up questions ask us to use a pizza scenario to understand how 3/8 could be used as a ratio, an operator, and a quotient.

5. Word Problems Write word problems for 2/5 and 5/2 for each: –Part of a whole –Ratio –Operator –Quotient We will look at some examples then take some time to write our own.

6. Word Problems Part of a whole: The question must state what the whole is, and the parts must all be the same size. Ex: I have 4 marbles, but 3 of them are scratched. What fraction describes the scratched marbles? (3/4) Ex: I have 14 plates, but four are covered with grease. What fraction describes the clean plates? (10/14 or 5/7) You try one.

7. Word Problems Ratio: The question must describe the comparison between 2 quantities. Ex: I have 20 socks, and 8 are red. Write a ratio describing the red and not red socks. (8 : 12 or 2 : 3) Ex: On my homework, I got 6 out of 9 problems correct. Write a ratio comparing the correct and incorrect answers. (6 : 3 or 2 : 1). You try one.

8. Word Problems Operator: This question asks how a quantity has changed. If the initial amount has increased, then the operator is greater than one. Ex: This year, I have 25 students in Math 302A. Next year, I hope to have 20. What fraction of my current class is this? (4/5) Ex: Last year, 100 students passed Math 302A. This year, I hope 6/5 as many pass. How many students do I hope pass? You try one.

9. Word Problems Quotient: Either, the answer to the question is the fraction, or the question describes the dividend (numerator) and divisor (denominator). Ex of 5/30: If a family of 30 equally shares 5 pizzas, how much pizza should each person eat? (5/30 or 1/6) Ex of 5/30: If 300 people share 50 pans of brownies, how much should each person eat? (50/300 = 5/30 = 1/6) You try one.

10. Word Problems Label each problem as (a) part-whole, (b) ratio, (c) operator, or (d) quotient. If you are not sure, write not sure. Marci had 15 marbles. But she lost 2/3 of them. How many does she have? operator Jeremy comes from a large family: there were 2 boys for every 1 girl. Could he have 12 kids in his family? Could he have 13? ratio

11. Word Problems Beatriz walks 3/8 of a mile. Part of a whole (the mile is the whole). Kevin planted 16 tomato plants last year. “I’m gonna plant 2 times as many this year.” How many tomato plants will Kevin need? Operator (the fraction is 2/1) At the dog park, 8 dogs had outfits on and 16 did not. Ratio

12. Word Problems Mom made 3 pans of brownies to share equally among 36 kids. How much does each kid get? Quotient Dad has $90 to share equally with 12 grandchildren. How much does each grandchild get? Quotient A certain company has 300 workers, and 4/5 of them make minimum wage. How many workers earn minimum wage? Operator (note: if the problem said 300 workers and 40 of them made minimum wage, then it is part of a whole.)

13. Alexa We will watch Alexa in just a few moments. Look at her work on page 23 for the second problem. What do you think Alexa was doing in each diagram? Now pick one. Can this picture be used to mean part-whole? Ratio? Operator? Quotient? If yes, say why. If no, say why not.

14. Now, we’ll watch Alexa Complete parts 1, 2, and part a in your groups. Now, try part c (skip b for just a moment). Once you found the value for 5, explain it in words so that someone else will understand.

15. Alexa Now, let’s try part d. Same thing--once you get an answer, try to write it up in words so that someone else will understand.

16. Alexa Now, let’s talk about how parts b and c are alike, and how they are different. Do part b.