5th Grade Module 2 – Lesson 1 Lesson 1: I can multiply multi-digit whole numbers and multiples of 10 using place value patterns and the distributive and associative properties. Associative Property Distributive Property 5th Grade Module 2 – Lesson 1

Get Ready to Say the Product! 3 x 10 = ____ 3 x 100 = ____ 3 x 1,000 = ____ 5 x 1,000 = ____ 0.005 x 1,000 = ____ 50 x 100 = _____ 0.05 x 100 = _____ 30 x 100 = ____ 30 x 1,000 = ____ 32 x 1,000 = ____ 0.32 x 1,000 = ____ 52 x 100 = _____ 5.2 x 100 = _____ 0.45 x 1,000 = _____ 30 3,000 30,000 300 32,000 3,000 320 5,000 5 5,200 5000 520 5 450 5th Grade Module 2 – Lesson 1

Get Your White Boards Ready! millions hundred thousands ten thousands thousands hundreds tens ones tenths hundredths thousandths 4 4 tens = ____ How many tens do you see? There are 4 tens. How many ones? 40 5th Grade Module 2 – Lesson 1

Get Your White Boards Ready! millions hundred thousands ten thousands thousands hundreds tens ones tenths hundredths thousandths 4 0 0 0 0 How many ten thousands do you see? 4 ten thousands = ____ 40,000 5th Grade Module 2 – Lesson 1

Get Your White Boards Ready! millions hundred thousands ten thousands thousands hundreds tens ones tenths hundredths thousandths 4 4 hundred thousands = ____ How many hundred thousands do you see? 400,000 5th Grade Module 2 – Lesson 1

Get Your White Boards Ready! millions hundred thousands ten thousands thousands hundreds tens ones tenths hundredths thousandths 7 How many millions do you see? 7 millions= ____ 7,000,000 5th Grade Module 2 – Lesson 1

Get Your White Boards Ready! millions hundred thousands ten thousands thousands hundreds tens ones tenths hundredths thousandths 2 How many thousands do you see? 2 thousands= ____ 2,000 5th Grade Module 2 – Lesson 1

Get Your Place Value Chart Ready! millions hundred thousands ten thousands thousands hundreds tens ones tenths hundredths thousandths 5 0 0 5 hundreds = ______ Show your answer on your place value chart with digits. 5th Grade Module 2 – Lesson 1

Get Your Place Value Chart Ready! millions hundred thousands ten thousands thousands hundreds tens ones tenths hundredths thousandths 3 0 3 tens = ______ Show your answer on your place Value chart with digits. 5th Grade Module 2 – Lesson 1

Show your answer on your place Value chart with digits. Let’s try a few more! millions hundred thousands ten thousands thousands hundreds tens ones tenths hundredths thousandths 5 3 0 53 tens = ______ Show your answer on your place Value chart with digits. 6 ten thousands = ______ Show your answer on your place Value chart with digits. 8 hundred thousands 36 ten thousands= ______ Show your answer on your place Value chart with digits. 8 millions 17 hundred thousands= ______ Show your answer on your place Value chart with digits. 36 ten thousands= ______ Show your answer on your place Value chart with digits. Bonus: 1034 hundred thousands= ______ Show your answer on your place value chart with digits. 5th Grade Module 2 – Lesson 1

5th Grade Module 2 – Lesson 1 We are going to learn how to multiply multi-digit whole numbers using the “Associative Property” The Associative Property of Multiplication can help you to multiply quickly and correctly. It means that we can re-group our factors but still get the same product. (2 x 5) x 3 = 2 x (5 x 3) 10 x 3 = 2 x 15 30 = 30 It is important to remember to multiply what is in the parentheses ( ) first! 5th Grade Module 2 – Lesson 1

Concept Development Get Your Place Value Charts Ready! Let’s Multiply 4 x 30 using units To find the product of 4 x 30, we can start by multiplying using whole numbers. Renaming 30 as 3 tens. Remember we need to state the unit in our product. 4 x 3 tens = __________________ 12 tens Show 12 tens on your place value chart. What is 12 tens in standard form? 12 tens = 120 So… 4 x 30 = 120 5th Grade Module 2 – Lesson 1

Let’s multiply the whole numbers first then the units. Let’s solve 4 tens x 3 tens How can the previous problem help us solve this problem? Let’s multiply the whole numbers first then the units. 4 x 3 = 12 ten x ten = hundred So, 4 tens x 3 tens = 12 hundreds 12 hundreds = 1,200 We can also record this problem like this … (4 x 3 ) x 100 10 x 10 12 x 100 = 1200 5th Grade Module 2 – Lesson 1

We can express our problem this way. 4 tens x 3 hundreds = ____ How is this problem different than 4 tens x 3 tens? 12,000 We are multiplying tens and hundreds, not tens & tens. Let’s record and solve: So, 4 tens x 3 hundreds = 12 thousands Or 12,000 4 tens x 3 hundreds 4 tens is the same as 4 x 10 3 hundreds = 3 x _____ 100 We can express our problem this way. (4 x 10) x (3 x 100) OR (4 x 3) x (10 x 100) Is this equation equal to the one above? What is 4 x 3? What is 10 x 100? 12 x 1000 What is the product of 12 and 1,000? 12,000 5th Grade Module 2 – Lesson 1

Let’s try this one… 4 thousands x 3 tens = ____ 120,000 Let’s record and solve: 4 thousands x 3 tens 4 thousands is the same as _______ x ________ 3 tens = ____ x _____ 4 1,000 3 10 (4 x 1000) x (3 x 10) 4,000 x 30 120,000 We can express our problem this way. OR (4 x 3) x (1000 x 10) What is 4 x 3? Here is a different way we can set up our problem. What is 1,000 x 10? 12 x 10,000 What is the product of 12 and 10,000? 120,000 5th Grade Module 2 – Lesson 1

60 x 5 30 x 10 300 Let’s solve this using (6 x 5) x 10 (6 x 10) x 5 Are both these equations equal to 60 x 5 Turn & Talk (6 x 10) x 5 (6 x 5) x 10 When we change the order of the factors we are using the commutative property. When we GROUP the factors differently we are using the associative property of multiplication Let’s solve this using (6 x 5) x 10 30 x 10 300 5th Grade Module 2 – Lesson 1

5th Grade Module 2 – Lesson 1 60 x 50 Work with your partner to solve this problem and explain how you solved it. Possible Solution: (6 x 5) x (10 x 10) 30 x 100 3,000 5th Grade Module 2 – Lesson 1

(use any method you want) Find the product of 451 x 8 (use any method you want) 3,608 What would make the distributive property useful here? Why does it help here, but we didn’t really use it in our other problems? Distributive Property = (400 x 8) + (50 x 8) + (1 x 8) 3200 + 400 + 8 3,608 5th Grade Module 2 – Lesson 1

5th Grade Module 2 – Lesson 1 How can 451 x 8 help you solve these? 1). 451 x 80 2). 4,510 x 80 3). 4,510 x 800 Evaluate these problems with your partner. 3,608,000 36,080 360,800 5th Grade Module 2 – Lesson 1

Get Ready to Complete the Problem Set on Your Own! Complete Pages 2.A.9- 2.A.11 Try your Best! 5th Grade Module 1 – Lesson 13

5th Grade Module 1 – Lesson 13 Let’s Debrief 5th Grade Module 1 – Lesson 13

5th Grade Module 1 – Lesson 5 EXIT TICKET 5th Grade Module 1 – Lesson 5