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Topic A M ultiplicative patterns on theplace value chart

Topic A M ultiplicative patterns on theplace value chart. STANDARD - 5.NBT.1, 5.NBT.2, 5.MD.1. Grade 5 Module 1 Lesson 4. Objective: U se exponents to denote powers of 
10 with application to metric 
conversions. MATERIALS NEEDED FOR THIS LESSON. Student. Student Pages.

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Topic A M ultiplicative patterns on theplace value chart

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  1. Topic A Multiplicative patterns on theplace value chart STANDARD - 5.NBT.1, 5.NBT.2, 5.MD.1

  2. Grade 5 Module 1 Lesson 4 Objective: Use exponents to denote powers of 
10 with application to metric 
conversions.

  3. MATERIALS NEEDED FOR THIS LESSON Student Student Pages Personal White Boards meter strip Problem Set Exit Ticket Homework Teacher Teacher Pages

  4. Fluency Practice(12 minutes)

  5. Multiply and Divide Decimals by 10, 100, 1000 5 minutes 5.NBT.2 3 disks in the tens column, 2 disks in the ones 
column, and 4 disks in the tenths column.

  6. show: 32.4 divided by 10 32.4 x 100 32.4 100

  7. show: 837 100 837 1000 0.418 1000

  8. Write the Unit as a Decimal 2 minutes 5.NBT.1 9 tenths = ________ 10 tenths = ________

  9. 20 tenths = _______ 30 tenths = _______ 70 tenths = _______ 9 hundredths = _______

  10. 10 hundredths = _______ 11 hundredths = _______ 17 hundredths = _______ 57 hundredths = _______ 42 hundredths = _______

  11. 9 thousandths = _______ 10 thousandths = _______ 20 thousandths = _______ 60 thousandths = _______

  12. 64 thousandths = _______ 83 thousandths = _______

  13. Write in Exponential Form 3 minutes 5.NBT.2 100 = 10? 1000 = 10? 1000 = 10? 10,000 = 10? 100,000 = 10?

  14. Convert Units 2 minutes 4.MD.1 1 km = _______ m 1 kg = _______ g 1 liter = _______ ml 1 m = _______ cm

  15. Application Problem (8 minutes) Mr. Brown want to withdrawal $1,000 from his 
bank and in ten dollar bills. How many ten dollar 
bills should he receive?

  16. Concept Development (30 minutes)

  17. Problem 1 Draw a line that is 2 meters long and concert it to centimeters Draw a line 2 meters long

  18. 2 meters = ______ centimeters 2 meters = ______ millimeters Can we represent the 
conversions with exponents?

  19. Problem 2 convert 1.37 meters to centimeters and millimeters Draw a line: 1 meter and 37 centimeters What fraction of a whole meter is 37 cm? Write 1 and 37 hundredths as a decimal 
fraction. How many cm is equal to 1.37 meters? 
use your meter stick and line and writing 
an equation using an exponent?

  20. 1.37 What is the equivalent measure in 
centimeters. Show the conversion using an equation 
with an exponent. What is the conversion factor?

  21. 1.37 What is the equivalent measure in 
millimeters. Show the conversion using an equation 
with an exponent. What is the conversion factor?

  22. 2.6 What is the equivalent measure in 
centimeters and millimeters. Show the conversion using an equation 
with an exponent. What is the conversion factor?

  23. 12.08 What is the equivalent measure in 
centimeters and millimeters. Show the conversion using an equation 
with an exponent. What is the conversion factor?

  24. Problem 3 A cat weighs 4.5 kilograms. convert its weight to grams. A dog weighs 6700 grams. convert its weight to kilograms. Explain your reasoning with an equation using 
an exponent for both. What is the conversion factor for both?

  25. The red bird weighs 2.75 kg, convert its weight to grams. The yellow bird weighs 6007g, convert its weight to kilograms. Explain your reasoning with an equation using 
an exponent for both. What is the conversion factor for both?

  26. Problem 4 The baker uses 0.6 liter of vegetable oil to bake brownies. How many milliliters of 
vegetable oil did he use? He is asked to make 
100 batches for a customer. How many liters 
of oil will he need?

  27. After gym class. Mei Ling drank 764 
milliliters of water. How many liters 
water did she drink?

  28. 1,045 ml = _____________ l 0.008 l = _____________ ml

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

  30. Student Debrief (10 minutes) What can you conclude about the operation 
you use when converting from a small unit 
to a large unit? When converting from a 
large unit to a small unit? Reflect on the kinds of thinking you did on task 1 
and task 2. How are they alike? How are they 
different? How did you convert centimeters to meters? What is the conversion factor? Journal: about the meaning of 
centi-, milli-, deci-, deca-. How did you convert meters to centimeters? What is the conversion factor? Which is easier for you: converting from 
larger to smaller units or smaller to larger 
units? Why? In task 3, how did you convert from 
meters to milliliters? What conversion 
factor did you use?

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

  32. HOMEWORK

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