1. Topics: Multiplicative Reasoning Additive Reasoning
Unit 7
Topics:
Multiplicative Reasoning
Additive Reasoning

2. IT: Multiplicative Reasoning 3

3. 4 2

4. 8
stamps

5. 2 6

6. 12
tadpoles

7. 8 3

8. 24
sweets

9. 5

10. 25
presents

11. Multiplicative Reasoning
Demonstration on the carpet with manipulatives
You will need: 10 squares, 10 circles and 20 counters
Demonstration on the carpet: The teacher reads the partitive problem: There are four children and we are going to share 12 sweets fairly among them. The teacher chooses four circles to represent four pretend-children and lays them out on the carpet. The teacher invites a child to share the counters as pretend-sweets. Then the teacher asks: if we share them fairly, how many will each one get? The child shares and answers the question.
This demonstration is repeated one with one more partitive problem: There were three houses and we need to put 15 guinea pigs in the houses. We want to distribute them equally so that no house is more crowded than the other houses. The teacher invites a child and suggests that the rectangles are the pretend-houses and the counters the pretend-guinea pigs. The child is encouraged to solve the problem but if necessary the teacher gives guidance: “Three houses and 15 guinea pigs. How many squares do you need? How many counters do you need? How do you find out how many to put in each house so they all have the same number of guinea pigs?”
The teacher proceeds in the same way to demonstrate the quotitive problem: We are going to have a party and we have 15 chocolates. Each child that comes to the party will get three chocolates. How many children can we invite? The teacher invites a child to act out the story. Quotitive problems are more difficult than partitive problems for children at this age level and more prompting may be required for the children to act out the story. The teacher encourages the child to work out the solution and to take 15 counters to be the pretend chocolates. If the child is stuck, the teacher takes three counters, puts one circle in front of the counters, and says: here, three chocolates for this child. So this child can come to the party. The teacher then asks the child to carry on. If the child doesn't do anything, the teacher encourages the child to take three more pretend-chocolates and one more child who can come to the party. The teacher encourages the child to distribute all the chocolates like this. At the end, the teacher repeats the question: “So, how many children can come to the party?”
This demonstration is repeated with another quotitive problem: We are preparing bags with books to sell at the school fair. We need to put two books in each bag. We have 18 books. How many bags can we fill?

12. IT: Multiplicative Reasoning 4

13. oranges

14. 3
oranges

15. friends

16. 6
friends

17. tables

18. 4
tables

19. marbles

20. 6
marbles

21. sweets

22. sweets 3

23. friends

24. 10
friends

25. Now it’s time to split into groups for other activities...
Well done!
Now it’s time to split into groups for other activities...

26. IT: The Gremlins Level 2

27. The Gremlins Game
If you hit a gremlin, you win a point.

28. If they hit a space ship, you lose a point.

29. Did you win or lose? Write the letter.
How many points? Write the number.

30. Game 1 ?

31. Game 1
W 4

32. Did you win or lose? Write the letter.
How many points? Write the number.

33. Game 1
Game 2
W 4 ?

34. Game 1
Game 2
W 4
L 3

35. Game 1
Game 2
Final Score
W 4
L 3 ?

36. Game 1
Game 2
Final Score
W 4
L 3
W 1

37. First run

38. Did you win or lose?
How many points?

39. Did you win or lose?
How many points?

40. Game 1
Game 2
Final Score
W 5 W2
W 7

41. Second run

42. Did you win or lose?
How many points?

43. Did you win or lose?
How many points?

44. Game 1
Game 2
Final Score
L 4
L 3
L 7

45. Third run

46. Did you win or lose?
How many points?

47. Did you win or lose?
How many points?

48. Game 1
Game 2
Final Score
W 3
L 3

49. Fourth run

50. Did you win or lose?
How many points?

51. Did you win or lose?
How many points?

52. Game 1
Game 2
Final Score
W 5
L 4
W 1

53. Fifth run

54. Did you win or lose?
How many points?

55. Did you win or lose?
How many points?

56. Game 1
Game 2
Final Score
W 3
L 4
L 1

57. Sixth run

58. Did you win or lose?
How many points?

59. Did you win or lose?
How many points?

60. Game 1
Game 2
Final Score
W 1
L 3
L 2

61. Seventh run

62. Did you win or lose?
How many points?

63. Did you win or lose?
How many points?

64. Game 1
Game 2
Final Score
W 5
L 2
W 3

65. Well done, you have finished!