Module 1 Lesson 4 Common Core Standards • 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left. • 5.NBT.2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. 5.MD.1 Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems. Learning Targets • I can use exponents to name powers of ten for metric conversion Activate Knowledge Write the number & word name Activate Knowledge Multiply by ten on your mats 3 2 4 Activate Knowledge Divide by ten on your mats 3 2 4 Activate Knowledge Multiply by hundred on your mats 3 2 4 Activate Knowledge Divide by hundred on your mats 3 2 4 Activate Knowledge Show answer using mats then write number sentence 837 ÷ 1000 Activate Knowledge Write in standard form 9 tenths Activate Knowledge Write in standard form. Use your mats if needed. 10 tenths Activate Knowledge Write in standard form. Use your mats if needed. 20 tenths Activate Knowledge Write in standard form. Use your mats if needed. 30 tenths Activate Knowledge Write in standard form. Use your mats if needed. 70 tenths Activate Knowledge Write in standard form. Use your mats if needed. 9 hundredths Activate Knowledge Write in standard form. Use your mats if needed. 10 hundredths Activate Knowledge Write in standard form. Use your mats if needed. 11 hundredths Activate Knowledge Write in standard form. Use your mats if needed. 17 hundredths Activate Knowledge Write in standard form. Use your mats if needed. 57 hundredths Activate Knowledge Write in standard form. Use your mats if needed. 42 hundredths Activate Knowledge Write in standard form. Use your mats if needed. 9 thousandths Activate Knowledge Write in standard form. Use your mats if needed. 10 thousandths Activate Knowledge Write in standard form. Use your mats if needed. 20 thousandths Activate Knowledge Write in standard form. Use your mats if needed. 60 thousandths Activate Knowledge Write in standard form. Use your mats if needed. 64 thousandths Activate Knowledge Write in standard form. Use your mats if needed. 83 thousandths Activate Knowledge Write in exponential form 100 = 10? Activate Knowledge Write in exponential form 1000 = 10? Activate Knowledge Write in exponential form 10,000 = 10? Activate Knowledge Write in exponential form 1,000,000 = 10? Activate Knowledge Fill in the missing number 1 km = _____ m Activate Knowledge Fill in the missing number 1 kg = _____ g Activate Knowledge Fill in the missing number 1 liter = _____ ml Activate Knowledge Fill in the missing number 1 m = _____ cm Activate Knowledge Fill in the missing number 1 m = _____ mm Activate Knowledge Mr. Brown wants to withdraw $1,000 from his bank and in ten dollar bills. How many ten dollar bills should he receive? Activate Knowledge Mr. Brown wants to withdraw $1,000 from his bank and in ten dollar bills. How many ten dollar bills should he receive? Teamwork With your partner, draw a 2 meter line Teamwork How many centimeters are there in 2 meters? Teamwork How can the same line be 2 meters & 200 centimeters? Teamwork Discuss with your partner how you can convert 2 meters to 200 centimeters. Teamwork Can you represent the conversion from meters to centimeters using exponents? Teamwork How many millimeters are there in 2 meters? Teamwork How can the same line be 2 meters & 2000 millimeters? Teamwork Discuss with your partner how you can convert 2 meters to 2000 millimeters. Teamwork Can you represent the conversion from meters to millimeters using exponents? Teamwork Look at your line again. How many meters in 200 centimeters Teamwork Discuss with your partner how can we convert 200 centimeters to 2 meters? Teamwork Can you represent the conversion from centimeters to meters using exponents? Teamwork Look at your line again. How many meters in 2000 millimeters Teamwork Can you represent the conversion from millimeters to meters using exponents? Teamwork Discuss with your partner how can we convert 2000 millimeters to 2 meters? Teamwork Draw a line that is 1 meter 37 centimeters long Teamwork What fraction of a whole meter is 37 centimeters? Teamwork Write 1 and 37 hundredths as a decimal Teamwork With your partner, determine how many centimeters is equal to 1.37 meters both by looking at your meter strip and line and writing an equation using an exponent. Teamwork Show the conversion using from 1.37 meters to 137 centimeters with an equation using an exponent. 1.37 × _____ = 137 Teamwork The conversion factor between meters and centimeters is: 100 or 102 Teamwork With your partner, determine how many millimeters is equal to 1.37 meters both by looking at your meter strip and line and writing an equation using an exponent. Teamwork Show the conversion using from 1.37 meters to 1370 millimeters with an equation using an exponent. 1.37 × _____ = 1370 Teamwork The conversion factor between meters and millimeters is: 1000 or 103 Teamwork A cat weighs 4.5 kilograms Work with your partner to find the weight in grams. Show your work using an equation with exponents. Teamwork A dog weighs 6700 grams Work with your partner to find the weight in kilograms. Show your work using an equation with exponents. Teamwork What was the conversion factor for weight of both the dog and the cat? Teamwork Convert 2.75 kg to g. Show your work with an equation with an exponent Teamwork Convert 6007 grams to kg. Show your work with an equation with an exponent Teamwork Let’s relate our meter to millimeter measurements to our kilogram to gram conversions. ✔ Check Understanding he baker uses 0.6 liter of vegetable oil to bake brownies How many milliliters did he use? ✔ Check Understanding he baker uses 0.6 liter of vegetable oil to bake brownies He is asked to make 100 batches for a customer How many liters of oil will he use? ✔ Check Understanding What similarities have you noticed with the measurement conversions thus far. ✔ Check Understanding After gym class Mei Ling drank 764 milliliters of water. How many liters did she drink? ✔ Check Understanding Convert 1,045 ml to liters ✔ Check Understanding Convert 0.008 liters to ml Practice Convert using an equation with an exponent. 3 meters to centimeters __________________ = ______ cm Practice Convert using an equation with an exponent. 900 centimeters to meters __________________ = ______ m Practice Convert using an equation with an exponent. 8.1 liters to milliliters __________________ = ______ ml Practice Convert using an equation with an exponent. 537 milliliters to liters __________________ = ______ l Practice Convert using an equation with an exponent. 90.5 kilometers to meters __________________ = ______ m Practice Convert using an equation with an exponent. 23 meters to kilometers __________________ = ______ km Practice Convert using an equation with an exponent. 0.4 kilograms to grams __________________ = ______ g Practice Convert using an equation with an exponent. 80 grams to kilograms __________________ = ______ kg Practice 3.5 km = _____ km _____ m Practice 1.23 l = _____ l _____ ml Practice 2.002 kg = _____ kg _____ g Practice 3 ml = ________ l Practice 3012 g = ________ kg Practice _______ m = 2.10 cm Practice The length of the bar for a high jump competition must always be 4.75 m. Express this measurement in millimeters. Explain your thinking using an equation that includes an exponent. Practice A honey bee’s length measures 1 cm. Express this measurement in meters. Explain your thinking using a place value chart. Practice A honey bee’s length measures 1 cm. Express this measurement in meters. Explain your thinking using an equation that includes an exponent. Practice James drinks 800 ml of water each day during his workout. Henry drinks 600 ml daily during his workout. If James works out 3 days each week, and Henry works out 5 days each week, how many liters do the boys drink in all each week while working out? Practice Katrina needs to tie ribbons around 10 flower arrangements for a party. Each arrangement requires 1.2 m of ribbon. She also needs 325 cm of ribbon to tie to the balloons for the party. If Katrina buys 15 m of ribbon, will she have enough? If so, how much ribbon (in meters) will she have left? If not, how many more meters of ribbon will she need to buy? Exit Ticket Convert 2 meters to centimeters 2 m × _____ = ______ cm Exit Ticket Convert 40 milliliters to liters 40 ml ÷ _____ = ______ l Exit Ticket 4.37 l = _____ l ______ ml Exit Ticket 81.62 kg = _____ kg ______ g Review