Lesson 13: I can use whole number multiplication to express equivalent measurements 5th Grade Module 2 – Lesson 13

Divide By 10, 100, and 1,000 5th Grade Module 2 – Lesson 13 Say the answer… 30 ÷ 10 =3300 ÷ 100 =33000 ÷ 1000 =35000 ÷ 1000 =550 ÷ 10 =5500 ÷ 100 =55000 ÷ 1000 =55000 ÷ 100 = ÷ 100 =3030,000 ÷ 1,000 =3050,000 ÷ 1,000 =5040 ÷ 10 =4400 ÷ 10 =404,000 ÷ 10 =40040,000 ÷ 10 =4, ÷ 100 =77,000 ÷ 100 =7070,000 ÷ 100 =700700,000 ÷ 100 =7,0007,000,000 ÷ 1,000 =7,000

Unit Conversions 5th Grade Module 2 – Lesson 13 1 ft = ___ in 2 ft = ___ in 3 ft = ___ in 4 ft = ___ in 10 ft = ___ in 5 ft = ___ in 7 ft = ___ in 100 cm = ___m 200 cm = ___ m 300 cm = ___ m 600 cm = ___ m

Concept Development Turn and talk with your partner. How could this document help us solve problems? 5th Grade Module 2 – Lesson 13 Today we’ll be using this reference sheet to help us convert between various units of measurement. What types of units do you see on this sheet?

LengthWeightVolume Divide your white boards into three sections and label like this… 5th Grade Module 2 – Lesson 13 LengthWeightVolume - Miles -Yards -Feet -inches -Tons -Pounds -ounces -Gallons -Quarts -Pints -Cups -Fluid ounces What units are used for each type of measurement? Record them in each section.

Problem #1 15 feet = _____ inches What pattern can we use to help us convert from feet to inches? Turn and talk to your partner. 5th Grade Module 2 – Lesson 13

Problem #1 5th Grade Module 2 – Lesson 13 Let’s look at a tape measure or ruler. How many inches do we see in each foot? Let’s draw a number line to show what we know. Draw this in your notebook with me…. 1 ft 2 ft 3 ft 4 ft 5 ft … 15 ft l l l l l l l in 24 in 36 in 48 in 60 in… ? If one foot is equal to 12 inches, how can I find how many inches are in 15 feet? Turn and talk.

Problem #1 15 ft = 180 in If we want to express this conversion as a multiplication equation, what would it look like? Write this on your board. 5th Grade Module 2 – Lesson ft x 12 = 180 in Would this method work for any situation in which we want to name feet as inches? Which unit is larger? Feet or inches? Why do we need so many inches (180!) to make just 15 feet? Tell your partner…

Let’s try this… 150 feet = ____ inches How can we solve this? 150 feet x 12 = _______ inches 5th Grade Module 2 – Lesson How could we easily find how many inches are in 151 feet?

Problem #2 3 tons 140 pounds = _____ pounds Let’s use our thinking about multiplication to solve this one. Tell your neighbor what part of the reference sheet will help us solve this one. How is this problem slightly different than the first? 5th Grade Module 2 – Lesson 13

Problem #2 Let’s start with the 3 tons… …Show a number line relating tons to pounds. 1 ton 2 tons 3 tons l l l lbs 4000 lbs 6000 lbs 5th Grade Module 2 – Lesson 13 Are we done? Why or why not? 3 tons 140 pounds = _____ pounds How many pounds are in 1 ton? 2000 We need to add the 140 lbs from the original problem… = 6,140 lbs 3 tons 140 lbs = 6,140 lbs

Get Ready to Complete the Rest of the Problem Set on Your Own! Complete Page 2.D.9 and 2.D.10 You will have 10 minutes to work. Try your Best! 5th Grade Module 2 – Lesson 13

Explain the term conversion factor Explain your process for problem #1. Why did you multiply? How did you decide what to multiply by? Can you name some real life situations in which measurement might be useful or necessary?

Exit Ticket Time! Exit Ticket Time! 5th Grade Module 2 – Lesson 13