Lesson 13: I can use whole number multiplication to express equivalent measurements

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 Say the answer… 7,000,000 ÷ 1,000 = 30,000 ÷ 1,000 = 50,000 ÷ 1,000 = 40 ÷ 10 = 400 ÷ 10 = 4,000 ÷ 10 = 700 ÷ 100 = 7,000 ÷ 100 = 70,000 ÷ 100 = 700,000 ÷ 100 = 40,000 ÷ 10 = 30 ÷ 10 = 300 ÷ 100 = 3000 ÷ 100 = 5000 ÷ 100 = 50 ÷ 10 = 5000 ÷ 1000 = 3000 ÷ 1000 = 500 ÷ 100 = 5000 ÷ 1000 = 4,000 3 700 7,000 3 7 40 400 30 4 5 7,000 70 5 50 30 3 5 50 5 5th Grade Module 2 – Lesson 13

Unit Conversions 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 12 84 1 24 36 2 48 3 120 6 60 5th Grade Module 2 – Lesson 13

Concept Development Turn and talk with your partner. How could this document help us solve problems? 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? 5th Grade Module 2 – Lesson 13

Divide your white boards into three sections and label like this… What units are used for each type of measurement?Record them in each section. 5th Grade Module 2 – Lesson 13

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

Problem #115 ft = 180 in If we want to express this conversion as a multiplication equation, what would it look like? Write this on your board. Would this method work for any situation in which we want to name feet as inches? Why do we need so many inches (180!) to make just 15 feet? Tell your partner… Which unit is larger? Feet or inches? 15 ft x 12 = 180 in 5th Grade Module 2 – Lesson 13

Let’s try this… 150 feet = ____ inches How can we solve this? 150 feet x 12 = _______ inches 1800 How could we easily find how many inches are in 151 feet? 5th Grade Module 2 – Lesson 13

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

Get Ready to Complete theRest 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

Debrief • 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? 5th Grade Module 2 – Lesson 13

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

Lesson 13: I can use whole number multiplication to express equivalent measurements