1. Sam and Joe are arguing as they split up a chocolate bar
Sam and Joe are arguing as they split up a chocolate bar. Sam says 1/5 is more than 1/3. Joe says no, one third is bigger than one fifth. Who is right?
Use a proof to settle the argument.

2. Draw a proof to settle the argument.
Sam and Joe are arguing as they split up a chocolate bar. Sam says 1/5 is more than 1/3. Joe says no, one third is bigger than one fifth. Who is right?
Draw a proof to settle the argument.
What information needs to be in the diagram? What fractions? How do you draw fractions? Does this picture make sense? Does it help explain the situation.. What do we know

4. Is the information from the problem here?
Does the diagram make sense?
Does it fit the problem?
Did the student explain his or her thinking?

9. Fractions as Parts of a Set

10. If this is a diagram of one

11. then each section or part is ?.
1/3

12. then each section or part is 1/3 ?

13. And the whole can be renamed as ?.
3/3

14. And the whole can be renamed as 3/3.

15. But if this is a diagram of 9 horses

16. Then how many horses is 1/3 of the 9 horses?
3/3

17. Then how many horses is 1/3 of the 9 horses?
3/3

18. If this is a diagram of one

19. then each section or part is ?.
1/4

20. then each section or part is ?. 1/4

21. And the whole can be renamed as ?
4/4

22. And the whole can be renamed as 4/4 ?

23. But if this is a diagram of flock of 12 ducks…..

24. How many ducks is 1/4 of the flock of 12?
3/3

25. How many ducks is 1/4 of the flock of 12?3
¼ is
¼ is 3 3
3/3
¼ is 3

26. I went to the pound. There were 20 animals.
One fourth (1/4) of them were dogs.
How many dogs is that?
How many were not dogs?

27. There were 36 mini tarts in the box.
My brother ate 1/3 and I ate ¼
How many tarts are left?

28. There were 72 cookies in the box.
My brother ate 1/3 and I ate ¼
How did the answers change?