Unit 4 Wrapping Up Multiplication And Division With Multi Digit Numbers — Unit Plan

Title	Assessment
Lesson 1 Estimate and Find Products	Fifteen Find the value of each expression. Explain or show your reasoning. $15 \times 20$ $15 \times 120$ $15 \times 121$ Show Solution 300. Sample response: $2 \times 15 = 30$ , and I did 10 times that. 1,800. Sample response: $100 \times 15 = 1,500$ , and I added that to 300. 1,815. Sample response: There is 1 more in each of the 15 groups.
Lesson 2 Partial Products in Diagrams	$222 \times 14$ Here is a diagram that represents $222 \times 14$ . Find the value of $222 \times 14$ . Use the diagram if it is helpful. Explain or show your reasoning. Show Solution 3,108. Sample response: I broke 222 down hundreds, tens, and ones, and multiplied each by 14. The product is $2,800 + 280 + 28$ , which is $3,108$ .
Lesson 3 Partial Products in Algorithms	Using Partial Products Find the value of $415 \times 43$ , using partial products. Show Solution 17,845. Sample response:
Lesson 4 Standard Algorithm: One-digit and Multi-digit Numbers, with Composing	Standard Algorithm Calculation Use the standard algorithm to find the value of $3,514 \times 7$ . Show Solution 24,598. Sample response:
Lesson 5 Standard Algorithm: Multi-digit Numbers, without Composing	Standard Algorithm, without Composition of a New Unit Use the standard algorithm to find the value of $203 \times 23$ . Show Solution 4,669. Sample response:
Lesson 6 Standard Algorithm: Multi-digit Numbers, with Composing	Use the Standard Algorithm Use the standard algorithm to find the product $251 \times 34$ . Show Solution 8,534. Sample response:
Lesson 7 Build Multiplication Fluency	Calculating a Product Use the standard algorithm to find the product $372 \times 83$ . Show Solution 30,876. Sample response:
Lesson 8 The Birds	On Screech To make a birdhouse for a screech owl, the recommended area of the floor is 8 inches by 8 inches and the recommended height is 12 inches to 15 inches. What is the recommended range of volumes for a screech owl birdhouse? Explain or show your thinking. Show Solution 768 cubic inches to 960 cubic inches. Sample response: $8 \times 8 = 64$ , $64 \times 12 = 768$ and $64 \times 15 = 960$
Section A Check Section A Checkpoint	Problem 1 Use the standard algorithm to find the value of each product. Explain or show your reasoning. $628 \times 25$ $359 \times 63$ Show Solution 15,700. Sample response: 22,617. Sample response: Problem 2 Lin says the value of $257 \times 63$ is about 1,500. Do you agree with Lin? Explain or show your reasoning. Use the standard algorithm to find the value of the product. Show Solution No. Sample response: $200 \times 10 = 2,000$ and this product has a much greater value than $200 \times 10$ . 16,191. Sample response:

Lesson 9 World’s Record Folk Dance	Another Dance A different group of 4,632 dancers make groups of 8. Write a division expression to represent the situation. How many groups of 8 are there? Explain or show your thinking. Show Solution $4,632 \div 8$ 579 groups. Sample response: $8\times500=4,000$ , $8\times50=400$ $8\times20=160$ , $8\times9=72$ and $500+50+20+9=579$ .
Lesson 10 Different Partial Quotients	Find the Value Find the value of $465 \div 15$ . Explain or show your reasoning. Show Solution 31. Sample responses: $30 \times 15 = 450$ , $1 \times 15 = 15$ , $450 + 15 = 465$ , $30+1=31$ $450 \div 15 = 30$ and $15 \div 15 = 1$ and $30 + 1 = 31$
Lesson 11 A Partial-Quotients Algorithm	What’s Next? Han started finding the value of a quotient. Write the division expression that represents the quotient Han is finding. Complete the algorithm that Han started. Divide. five thousand four hundred divided by 15, 4 rows. First row: three hundred. Second row: 15, long division symbol with five thousand four hundred inside. Third row: minus four thousand five hundred. In parentheses, three hundred times 15. Horizontal line. Fifth row: nine hundred. Show Solution $5,400 \div 15$ Sample response:
Lesson 12 Divide, Using Partial Quotients	Divide, Using Partial Quotients Find the value of the quotient. Show Solution 15. Sample response:
Lesson 13 Practice a Partial-Quotients Algorithm	Divide Four-Digit Numbers Find the value of $1,736 \div28$ . Show Solution 62. Sample response:
Lesson 14 Find Unknown Side Lengths	The Area of the Garden The area of a rectangular garden is 832 square feet and its length is 16 feet. What is its width? Show Solution 52 feet. Sample response:
Lesson 15 World’s Record Noodle Soup	Division Reflection Describe something you really understand well from this section on dividing multi-digit numbers, or describe something that was confusing or challenging. Show Solution Sample response: I understand how to check my subtraction and multiplication while I am solving the problem. I like using a partial-quotients algorithm because I can double check my work. I have to remember to estimate to check that my answer makes sense. I get confused with all of the steps.
Lesson 16 Fractions as Partial Quotients	Choose Another Expression Choose one expression, and use it to find the value of $154 \div 14$ . Explain or show your thinking. $154 \div 14 = \underline{\hspace{1 cm}}$ $\frac{140}{14} + \frac{14}{14}$ $\frac{150}{14} + \frac{4}{14}$ $\frac{70}{14} + \frac{70}{14} + \frac{14}{14}$ Show Solution 11. Sample response: $\frac{140}{14} + \frac{14}{14} = 10 + 1$
Section B Check Section B Checkpoint	Problem 1 Find the value of $966 \div 23$ . Explain or show your reasoning. Show Solution 42. Sample response: Problem 2 A toolbox is shaped like a rectangular prism. The length is 14 inches and the height is 7 inches. If the volume of the toolbox is 1,176 cubic inches, what is its width? Explain or show your reasoning. Show Solution 12 inches. Sample response: $14 \times 7 = 98$

Lesson 17 A Lot of Milk	So Much Milk There are 17,564 students in a city, who each drink a carton of milk at lunch one day. Each carton of milk is about 240 cubic centimeters. About how many cubic centimeters of milk do the students drink altogether? Explain or show your reasoning. Show Solution Sample responses: About 4,800,000 cubic centimeters, because $240 \times 20 = 5,000$ and there are close to 20,000 students. About 4,200,000 cubic centimeters, because $17 \times 240 = 4,080$ and $18 \times 240 = 4,320$ , so I took the number in between and multiplied it by 1,000, since it's between 17,000 and 18,000.
Lesson 18 Trash Talk	Wyoming Wyoming is 600 kilometers wide and 452 kilometers long. What is the area of Wyoming? Show Solution 271,200 square km. Sample response: I found $452 \times 6 = 2,712$ . Then since the 6 is 6 hundreds, that means I need to multiply 2,712 by 100 and $2,712\times100=271,200$ .
Lesson 19 Shipping Trash	Ship It A different shipping container is 40 feet long, 9 feet wide, and 8 feet tall. What is the volume of this container? Explain or show your thinking. A school makes 24 cubic feet of recyclable plastic each day. How many days does it take the school to fill this container? Explain or show your thinking. Show Solution 2,880 cubic feet. Sample response: I first found $40 \times 9 = 360$ , and then found $360 \times 8$ . 120. Sample response:
Lesson 20 Food-Waste Journal	No cool-down
Section C Check Section C Checkpoint	Problem 1 Kansas and South Dakota both have rectangular shapes. Kansas is 660 kilometers long and 343 kilometers wide. South Dakota is 610 kilometers long and 340 kilometers wide. Is the area of Kansas greater than or less than 200,000 square kilometers? Explain or show your reasoning. Explain why 200,000 square kilometers is a good estimate for the area of South Dakota. Show Solution Sample responses: Greater. I know $600 \times 300 = 180,000$ and then $600 \times 40$ is more than 20,000 so that's already more than 200,000. South Dakota is a little more than 600 km long and 300 km wide. I know $3 \times 600 = 1,800$ and then 100 times more is $180,000$ so $200,000$ is a good estimate. Problem 2 The back of a garbage truck is 23 feet long, 8 feet wide, and 12 feet tall. How many loads of trash from the garbage truck will it take to fill a 40-foot-by-9-foot-by-8-foot storage container? Explain or show your reasoning. Show Solution 2 loads. Sample response: Each set of side lengths has an 8 so I can compare $23 \times 12$ to $40 \times 9$ . I know $23 \times 12 = 276$ and $40 \times 9 = 360$ . So one load of trash is not enough, but two loads are.