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Warm Up – Complete in math section of your 5-subject notebook

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1 Warm Up – Complete in math section of your 5-subject notebook
Brett measured a building to be a 100 ft. and long and 23 ft. wide. How could you use what you know about the Powers of 10 to quickly show Brett how to find the area of the building? Then give Brett a similar problem to figure out using the Powers of 10.

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

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 + 60 7 40 x 7 40 60 x 40 + 60 x 3 7 x 3 3

5 Multiply Them & Add ‘Em Up….
60 x 40 = 2, ,400 60 x 3 = 40 x 7 = 7 x 3 = 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? 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 50 + 4 30 30 x 50 30 x 4 + 9 9 x 50 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
Write 43 and 67 using expanded notation 43 = 67 = 60 +7 40 x 60 = 2, x 7 = 280 3 x 60 = x 7 = 21 Add ‘Em Up …2, = 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 & Remembering page 163 (odd)


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