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

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

MATERIALS NEEDED FOR THIS LESSON P ersonal White Boards meter strip Teacher Student Teacher Pages Student Pages P roblem Set Exit Ticket Homework

Fluency Practice (12 minutes)

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

show: 32.4 divided by x

show:

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

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

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

9 thousandths = _______ 10 thousandths = _______ 20 thousandths = _______ 60 thousandths = _______

64 thousandths = _______ 83 thousandths = _______

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

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

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?

Concept Development (30 minutes)

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

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

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?

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

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

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

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

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?

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

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?

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

1,045 ml = _____________ l l = _____________ ml

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

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

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

HOMEWORK