Topic C P lace value and rounding decimal fractions

1. Topic C Place value and rounding decimal fractions STANDARD - 5.NBT.4

2. Grade 5 Module 1 Lesson 7 Objective: Round a given decimal to any place 
value place value understanding and 
the vertical number line.

3. MATERIALS NEEDED FOR THIS LESSON Student Student Pages Place Value Chart Personal White Boards Sprint A & B Problem Set Exit Ticket Homework Teacher Teacher Pages

4. Fluency Practice(12 minutes)

5. Find the Midpoint 7 minutes 5.NBT.4 SPRINT A 1 minutes Do as many problems as you can. Do your personal best. Take your mark! Get set! THINK!

6. Find the Midpoint 5.NBT.4 SPRINT B 1 minutes Do as many problems as you can. Do your personal best. Take your mark! Get set! THINK!

7. Compare Decimal Fractions 2 minutes 5.NBT.3b 12.57 12.75 67 100 0.67 83 100 0.084

8. 328.2 328.099 4.07 forty-seven tenths twenty-four and 9 thousandths 3 tens

9. Rename the Units 3 minutes 5.NBT.2 1.5 = ____ tenths 2.5 = ____ tenths 12.5 = ____ tenths 17.5 = ____ tenths

10. 27.5 = ____ tenths 24.5 = ____ tenths 24.3 = ____ tenths 42.3 = ____ tenths

11. Application Problem (8 minutes) Craig, Randy, Charlie, and Sam ran in a 5k race 
on Saturday. They were the top 4 finishers. Here 
are their race times: Craig: 25.9 minutes Randy: 32.2 minutes Charlie: 32.28 minutes Sam: 25.85 minutes Who won first place? Who won second place? 
Third? Fourth?

12. Concept Development (30 minutes)

13. Problem 1 Strategically decompose a whole number using multiple units to 
round to the nearest ten and nearest hundred decompose 155

14. round 155 to the nearest tens? 16 tens = 160 15 tens + 7 ones 15 ten + 5 ones = 155 15 tens = 150

15. round 155 to the nearest hundreds? 2 hundreds = 200 155 1 hundred + 5 tens = 150 1 hundred = 100

16. Problem 2 Strategically decompose a decimal number to round to the 
nearest whole and nearest tenth. decompose 1.57

17. Round 1.57 to the nearest tenth 16 tenths = 1.60 15 tenths + 7 hundredths = 1.57 15 tenths + 5 hundredths = 1.55 15 tenths = 1.50

18. Problem 3 Strategically decompose a decimal number to round to the 
nearest ten, one, tenth, and hundredth decompose 4.381

19. 1 ten = 10 Round to the nearest tens 5 ones = 5 4 ones +381 0 tens = 0

20. Round to the nearest ones 5 ones = 5 4 ones + 5 tenths = 4.5 4 ones +381 4 ones = 4

21. 44 tenths = 4.4 Round to the nearest tenths 43 tenths + 81 thousandths 43 tenths + 5 hundredths 43 tenths = 4.3

22. 439 hundredths = 4.39 Round to the nearest hundredths 438 hundredths + 5 thousandths 438 + 1 thousandths 438 hundredths = 4.38

23. Problem 4 Strategically decompose to round a number to the nearest one, 
tenth, and hundredth

24. Round to the nearest one 10 ones = 10 9.975 9.5 9 ones = 9

25. Round to the nearest tenth 100 tenths = 10 9.975 9.95 99 tenths = 9.9

26. thousandths tens tenths hundredths ones 9 9 9 9 7 99.799 99 7 9 9 9 997 9 9979 9 99799 Round to the nearest tens 998 hundredths = 9.98 9.975 997 hundredths = 9.97

27. 99.799 thousandths tens tenths hundredths ones 9 9 9 9 7 99 7 9 9 Round to the nearest tens 9 997 9 9979 9 99799 10 tens = 100 99.799 95 9 tens = 90

28. 99.799 thousandths tens tenths hundredths ones 9 9 9 9 7 99 7 9 9 Round to the nearest ones 9 997 9 9979 9 99799 100 ones = 100 99.799 99.5 99 ones = 99

29. 99.799 thousandths tens tenths hundredths ones 9 9 9 9 7 99 7 9 9 Round to the nearest tenth 9 997 9 9979 9 99799 998 tenths = 99.8 99.799 99.75 997 tenths = 99.7

30. 99.799 thousandths tens tenths hundredths ones 9 9 9 9 7 99 7 9 9 Round to the nearest hundredths 9 997 9 9979 9 99799 9980 hundredths = 99.80 99.799 99.795 9979 hundredths = 99.79

31. Problem Set (10 minutes) Do Your Personal Best (Complete independently!)

32. Student Debrief (10 minutes) In #2 which decomposition helps you most if you 
want to round to the hundredths place? The tens 
place? Ones place? Why? How was #1 different from both #2 and #3?

33. EXIT TICKET (3 minutes) Complete the exit ticket and turn in...

34. HOMEWORK