1. Unit 7, Lesson 2 The Area Model for Multiplication “What do you mean, it’s the wrong kind of right?”

2. Quick Practice Goal: Practice multiplying with tens, hundreds, and thousands. 60 x 30 = 6 x 3,000 = 60 x 300 = 600 x 300 = 6 x 3 = 60 x 3 =

3. Introducing Rectangle Sections 67 x 43 = ? 67 43 How would we find the area of this rectangle?

4. How can we use this information to solve 67 x 43? When you multiply larger numbers, you often need to break the problem into smaller parts 40 3 607 + + 60 x 40 60 x 3 40 x 7 7 x 3

5. Multiply Them & Add ‘Em Up…. 60 x 40 = 2,4002,400 60 x 3 = 180 180 40 x 7 = 280 280 7 x 3 = 21 + 21 2,881

6. Questions to Ponder How are the numbers 63 and 67 expressed? Why? They are expressed as tens and ones to make the multiplication easier. How can we use what we know about zeros patterns in products to find the partial products in the smaller rectangles? We know that 40 x 60 has 2 zeros, 40 x 7 has 1 zero, and 3 x 60 has 1 zero

7. Questions to Ponder Does it matter in what order we multiply to get the partial products? No What do we do with all of the partial products to get the total product? Add them. Does it matter in what order we add the partial products? No So, how are the Rectangle Sections used to solve the multiplication? The area of each of the 4 smaller rectangles is found. Then the 4 areas are added to find the total area.

8. Let’s Try One More… 39 x 54 39 54

9. 39 x 54 30 9 + 50+4 30 x 50 9 x 50 30 x 4 4 x 9

10. 39 x 54 30 x 50 = 1,500 9 x 50 = 450 30 x 4 = 120 9 x 4 = 36 Add ‘Em up…. 1,500 450 120 + 36 2,106

11. Solve with Expanded Notation 43 x 67 Write 43 and 67 using expanded notation – 43 = 40 + 3 – 67 = 60 +7 40 x 60 = 2,40040 x 7 = 280 3 x 60 = 1803 x 7 = 21 Add ‘Em Up …2,400 + 280 + 180 + 21 = 2,881

12. On Your Own… Turn to page 266 in your hard math book (volume 2) Solve problems 5 and 6 using either Rectangle Sections or Expanded Notation

13. Homework… Homework & Remembering page 163 (odd)