1. Module 2 Lesson 5 Connect visual models and the distributive property to partial products of the standard algorithm without renaming.

2. 5.OA.2 Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation “add 8 and 7, then multiply by 2” as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product. 5.NBT.5 Fluently multiply multi-digit whole numbers using the standard algorithm. Common Core Standards

3. Learning Targets I can connect visual models and the distributive property to partial products of the standard algorithm without renaming.

4. Sprint A

7. Activate Knowledge Write the multiplication sentence 9 x 10 =

8. Activate Knowledge Write the multiplication sentence 9 x 10 = 9 x 9 = 90 – ___

9. Activate Knowledge Write the multiplication sentence 9 x 10 = 9 x 9 = 90 – ___ 9 x 9 = ___

10. Activate Knowledge Write the multiplication sentence 9 x 100 =

11. Activate Knowledge Write the multiplication sentence 9 x 100 = 9 x 99 = 900 – ___

12. Activate Knowledge Write the multiplication sentence 9 x 100 = 9 x 99 = 900 – ___ 9 x 99 = ___

13. Activate Knowledge Write the multiplication sentence 15 x 10 =

14. Activate Knowledge Write the multiplication sentence 15 x 10 = 15 x 9 = 150 – ___

15. Activate Knowledge Write the multiplication sentence 15 x 10 = 15 x 9 = 150 – ___ 15 x 9 = ___

16. Activate Knowledge Write the multiplication sentence 29 x 100 =

17. Activate Knowledge Write the multiplication sentence 29 x 100 = 29 x 99 = 2900 – ___

18. Activate Knowledge Write the multiplication sentence 29 x 100 = 29 x 99 = 2900 – ___ 29 x 99 = ___

19. Activate Knowledge Write the multiplication sentence 31 × 100 = _____

20. Activate Knowledge Write the multiplication sentence 31 × 100 = _____ 3100 x 2 = _____

21. Activate Knowledge Write 31 × 200 as a three-step multiplication sentence, taking out the hundred. 31 × 100 = _____ 3100 x 2 = _____ 31 x 200 = _____

22. Activate Knowledge Write the multiplication sentence 24 × 100 = _____

23. Activate Knowledge Write the multiplication sentence 24 × 100 = _____ 2400 x 3 = _____

24. Activate Knowledge Write 24 × 300 as a three-step multiplication sentence, taking out the hundred. 24 × 100 = _____ 2400 x 3 = _____ 24 x 300 = _____

25. Activate Knowledge Write the multiplication sentence 34 × 100 = _____

26. Activate Knowledge Write the multiplication sentence 34 × 100 = _____ 3400 x 2 = _____

27. Activate Knowledge Write 24 × 200 as a three-step multiplication sentence, taking out the hundred. 34 × 100 = _____ 3400 x 2 = _____ 34 x 200 = _____

28. Activate Knowledge Aneisha is setting up a play space for her new puppy. She will be building a fence around part of her yard that measures 29 feet by 12 feet. How many square feet of play space will her new puppy have? If you have time, solve it in more than one way.

29. Learn Problem 1 21 x 5 Can you solve mentally using the unit form strategy?

30. Learn Problem 1 21 x 5 Represent your think with a tape diagram.

31. Learn Problem 1 Since 5 is the unit, how can we show the area of each unit?

32. Learn Problem 1 Imagine that all 21 boxes are stacked vertically. … 20 fives 1 five 21 x 5

33. Learn Problem 1 We can simplify this drawing. 21 x 5

34. Learn Problem 1 Compare the area diagram with the tape diagram 21 x 5 555…5 21 fives

35. Learn Problem 1 Compare the area diagram with the tape diagram 21 x 5 555…5 21 fives

36. Learn Problem 1 Can we turn this area model so that we count 5 groups of 21? 5 x 21

37. Learn Problem 2 Relate the area model with the algorithm 23 × 31 23 690 1 30 23

38. Learn Problem 3 Relate the area model with the algorithm 343 × 21 1 20 343

39. Learn Problem 4 Relate the area model with the algorithm 231 × 32 2 30 231

40. Practice

47. Review