Fluency Practice: Take Out the Unit Have your white boards ready!

1. Module 1Lesson 11: Multiply a decimal fraction by single-digit whole numbers, relate to a written method through application of the area model and place value understanding and explain the reasoning used. 5th Grade Module 1 – Lesson 11

2. Fluency Practice: Take Out the UnitHave your white boards ready! I am going to project some numbers on the board. We are first going to say the number out loud. Then, you are going to write the answer on your white board. 1,234 1.234 = _________ thousandths How much is one thousand thousandths? One thousand thousandths is the same as 1. 65 247 65.247 = _________ ones ___________ thousandths 7 6358 76.358 = _________ tens _____________ thousandths 58 76.358 = 763 tenths ___ __thousandths 7,635 76.358 = _________ hundredths __8 __thousandths 5th Grade Module 1 – Lesson 11

3. Add DecimalsHave your white boards ready! Write the following addition sentence in decimal form: 7258 thousandths + 1 thousandth = _____________ 7.258 + 0.001 = 7.259 Notice which digit changed. 7.258 + 0.03= 7.288 7 ones 258 thousandths + 3 hundredths = _______ Notice which digit changed. 7.258 + 0.4 =7.658 7 ones 258 thousandths + 4 tenths = __________ Notice which digit changed. 5th Grade Module 1 – Lesson 11

4. Add DecimalsHave your white boards ready! Write the following addition sentence in decimal form: 6 ones 453 thousandths + 4 hundredths= ___________ 6.453 + 0.04 = 6.493 Notice which digit changed. 2 ones 37 thousandths + 5 tenths= _______ 2.037 + 0.5 = 2.537 Notice which digit changed. 6.35 + 0.007= 6.357 6 ones 35 hundredths + 7 thousandths= __________ Notice which digit changed. 5th Grade Module 1 – Lesson 11

5. Subtract DecimalsHave your white boards ready! Write the following subtractions sentences in decimal form: 4 ones 8 hundredths - 2 ones = ___ ones ____ hundredths 4.08 – 2 = 2.08 Notice which digit changed. 9 tenths 7 thousandths - 4 thousandths = _________________ 0.907 – 0.004 = 0.903 Notice which digit changed. 4 ones 582 thousandths - 3 hundredths = _________________ 4.582 – 0.03 = 4.552 Notice which digit changed. 5th Grade Module 1 – Lesson 11

6. Subtract DecimalsHave your white boards ready! Write the following subtractions sentences in decimal form: 9 ones 708 thousandths - 4 tenths =___________________ 9.708 – 0.4 = 9.308 Notice which digit changed. 4 ones 73 thousandths – 4 hundredths = _________________ 4.073 – 0.04 = 4.033 Notice which digit changed. 5th Grade Module 1 – Lesson 11

7. Application Problem Have your white boards ready! After school, Marcus ran 3.2km and Cindy ran 1.95km. Who ran farther? How much farther? Marcus 3.20 - 1.95 1.25 5th Grade Module 1 – Lesson 11

8. Concept DevelopmentYou will need your white boards, place value mats, and disks. 3 x 0.2 = 0.6 Place disks to show 2 tenths on your place value mat. Now repeat until you have 3 groups of 2 tenths 0.1 0.1 Turn and talk to your partner to write a number sentence that explains how we got six tenths as our answer. 0.1 0.1 0.2 + 0.2 + 0.2 = 0.6 0.1 0.1 Complete this sentence: 3 copies of 2 tenths is: ___________ Now read aloud the equation in unit form. 3 x 0.2 = 0.6 5th Grade Module 1 – Lesson 11

9. Concept Development 3 x 0.3 = 0.9 Place disks to show 3 tenths on your place value mat. Create 3 groups of 3 tenths. 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 Turn and talk to your partner to write a number sentence that explains how we got nine tenths as our answer. 5th Grade Module 1 – Lesson 11

10. Concept Development Try it! 4 x 0.3 = 1.2 Place disks to show 3 tenths on your place value mat. Create 4 groups of 3 tenths 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 Turn and talk to your partner to write a number sentence that explains how you got your answer. 5th Grade Module 1 – Lesson 11

11. Concept Development 0.86 2 x 0.43 = How can we use our knowledge from the previous problems to solve this? 0.1 0.1 0.1 0.01 0.01 0.01 0.1 0.1 0.01 0.01 0.01 0.1 0.1 0.1 Use your place value chart to find the product of 2 x 0.43. 2 copies of 43 hundredths is __________________ Turn and talk to your partner to write a number sentence that explains how you got your answer. 5th Grade Module 1 – Lesson 11

12. Another way of representing this problem is by using an area model: 2 x 0.43 = 0.86 4 tenths + 3 hundredths 2 groups + 0.8 = 0.86 0.06 5th Grade Module 1 – Lesson 11

13. Concept Development 0.846 2 x 0.423 = How can we use our knowledge from the previous problems to solve this? 0.001 0.001 0.001 0.01 0.1 0.1 0.1 0.01 0.1 0.1 0.1 0.1 0.1 0.01 0.01 0.001 0.001 0.001 Turn and talk to your partner to write a number sentence that explains how you got your answer. Use your place value chart to find the product of 2 x 0.423. 2 copies of 423 thousandths is __________________ 5th Grade Module 1 – Lesson 11

14. Another way of representing this problem is by using an area model: 2 x 0.423 = 0.846 4 tenths + 2 hundredths + 3 thousandths 8 tenths 4 hundredths 6 thousandths 2 groups 0.8 + 0.04 + 0.006 = 0.846 5th Grade Module 1 – Lesson 11

15. Solve Using Your Place Value Chart (use your disks if you need to)…4 x 0.423 How was this problem different from the last? Let’s record what happened on our mat using an area model and an equation showing the partial products. 5th Grade Module 1 – Lesson 11

16. Another way of representing this problem is by using an area model: 4 x 0.423 = 1.692 4 tenths + 2 hundredths + 3 thousandths 16 tenths 8 hundredths 12 thousandths 4 groups 1.6 + 0.08 + 0.012 = 1.692 0.423 X 4 How was this problem different from the last? Did any units have to be regrouped? 5th Grade Module 1 – Lesson 11

17. 6 x 1.21 Let’s imagine our disks, but use an area model to represent our thinking as we find the product of 6 x 1.21 Turn and tell your partner how many sections our area model will have. There are ____ sections. 3 5th Grade Module 1 – Lesson 11

18. In your notebook, create the area model with me. 6 x 1.21 1 whole 2 tenths 1 hundredth ? 6 I am multiplying each section by what number? 5th Grade Module 1 – Lesson 11

19. Now try two problems with your partner. Use an area model.Record your work in your notebook. 7 x 2.41 8 x 2.34 5th Grade Module 1 – Lesson 11

20. Problem Set Do your personal best to complete the Problem Set within 10 minutes. 1.E.10 & 1.E.11 5th Grade Module 1 – Lesson 10

21. Debrief Let’s get together and review our work! 5th Grade Module 1 – Lesson 10

22. Exit Ticket Time! 5th Grade Module 1 – Lesson 10