Unit 2 Area And Multiplication — Unit Plan

Title	Assessment
Lesson 1 What Is Area?	Compare Area Which rectangle has the greater area? How do you know? Show Solution Figure A. Sample response: Figure A covers more space. Even if you cut Figure B in half, it would fit in Figure A with leftover space.
Lesson 2 How Do We Measure Area?	Tile and Tell Use square tiles to find the area of the figure. Number of square tiles used: ______ square tiles Area: ______ square units Show Solution 28 square tiles 28 square units
Lesson 3 Tile Rectangles	Tile a Rectangle Andre says this rectangle has an area of 23 square units because he covered it with 23 square tiles. Do you agree with Andre? Explain your reasoning. Show Solution Sample responses: No, even though there are 23 tiles, we don’t know that they completely fill the rectangle because you can see some of the squares are overlapping and some show spaces in between. No, even though it is 23 tiles, you can see that some of the space in the rectangle isn’t covered.
Lesson 4 Area of a Rectangle	What’s the Area? Find the area of this rectangle. Explain or show your reasoning. Show Solution 35 square units. Sample response: I counted 7 groups of 5 as 5, 10, 15, 20, 25, 30, 35.
Section A Check Section A Checkpoint	Problem 1 Use square tiles to find the area of this figure. Explain or show your reasoning. Show Solution 11 square units. Sample response: I fit 5 squares on the bottom, then 4 more, and then 2 on top so that’s 11 total. Problem 2 Andre places these squares on the rectangle and says the area of the rectangle is 10 square units. Do you agree with Andre? Explain your reasoning. Show Solution No. Sample response: The squares overlap in some spots and there are gaps, so the full rectangle is not covered. Andre cannot find the area of the rectangle with the squares placed like this. Problem 3 Find the area of the rectangle. Explain or show your reasoning. Show Solution 20 square units. Sample response: I counted the squares and there are 4 rows of 5 squares, which is 20 squares.

Lesson 5 Represent Products as Areas	Create a Rectangular Area Use the grid to create a rectangular area that represents the expression $7\times4$ . Explain your reasoning. Show Solution Sample response: There are 4 rows and each row has 7 squares, so it’s 4 groups of 7.
Lesson 6 Different Square Units (Part 1)	Which Square? Here is a rectangle. Here are 2 different squares you could use to tile. A B Which square would allow you to tile the rectangle with a fewer number of squares? Explain your reasoning. Show Solution Square A. Sample response: It’s larger than Square B, so it wouldn’t take as many squares to fill the rectangle as with Square B.
Lesson 7 Different Square Units (Part 2)	Square Feet? Select all the areas that you would measure with square feet. Area of a room Area of the cover of a book Area of a basketball court Area of a window Area of a note card Show Solution A, C, and D
Lesson 8 Area of a Rectangle without a Grid	Where Are the Squares? The tick marks on the sides of the rectangle are 1 foot apart. What is the area of the rectangle? Explain or show your reasoning. Show Solution 35 square feet. Sample response: $7 \times 5 = 35$
Lesson 9 Measure to Find the Area	Find the Area Use your ruler to find the area of the rectangle in square inches. Show Solution 24 square inches
Lesson 10 Solve Area Problems	How Much Fabric? Kiran bought two pieces of fabric. The black fabric is 9 yards by 2 yards. The purple fabric is 4 yards by 5 yards. Which piece of fabric has a larger area? Explain or show your reasoning. Show Solution The purple fabric has a larger area. Sample response: The area of the black fabric is 18 square yards because $9 \times 2 = 18$ . The area of the purple fabric is 20 square yards because $4 \times 5= 20$ .
Lesson 11 Area and the Multiplication Table	What’s the Product? What is the unknown product? Explain your reasoning. Show Solution 16. Sample response: I saw there are 4 squares in each row so I counted 4, 8, 12, 16.
Section B Check Section B Checkpoint	Problem 1 Select all expressions that represent the area of this rectangle. A. $6 \times 5$ B. $6 + 5 + 6 + 5$ C. $6 + 4 + 2$ D. $5 \times 6$ E. $6 \times 6$ Show Solution A, D Problem 2 Priya and Han are designing a tree fort with a rectangular floor. They want at least 30 square feet of floor space. The sides all have to measure less than 8 feet. What are two possible pairs of side lengths for the floor of the fort? Explain your reasoning. Show Solution Sample responses: A 6-foot-by-5-foot floor would give an area of 30 square feet. A 7-foot-by-5-foot floor would give an area of 35 square feet. Problem 3 Explain why the area of the rectangle is $5 \times 3$ square units. Show Solution Sample response: There are 5 columns and 3 squares in each column so that's $5 \times 3$ total squares that cover the rectangle, with no gaps or overlaps.

Lesson 12 Area and Addition	Where Are the Rectangles? Find the area of this figure. Explain or show your reasoning. Show Solution 54 square units. Sample response: I split the figure into 2 rectangles, 1 across the top and 1 below. I found the area of the rectangle across the top by multiplying $3 \times 10$ , which is 30 square units. I found the area of the bottom rectangle by multiplying $4 \times 6$ , which is 24 square units. Then, I added the area of both rectangles to get 54 square units.
Lesson 13 Find the Area of a Figure	Find the Area Find the area of this figure. Explain or show your reasoning. Show Solution 24 square inches. Sample response: I saw two rectangles making an L shape. I multiplied $2 \times 8$ to find the area of the top rectangle, and $2 \times 4$ to find the area of the bottom rectangle. I added 16 and 8 to find the area of the whole figure.
Lesson 14 Find the Area of a Figure with Unknown Side Lengths	Mystery Side Area Find the area of the figure. Explain or show your reasoning. 6-sided shape. Straight sides. All side lengths meet at right angles. Lengths: Bottom, question mark feet. Right side rises question mark feet, then goes left 5 feet, down 2 feet, left 3 feet. Left side length, question mark. Show Solution 42 sq cm. Sample response: I found the area of the top rectangle to be 30 sq cm because $3 \times 10 = 30$ . Then I found the unknown side length to be 6 cm by subtracting 3 cm and 1 cm from 10 cm because opposite side lengths are equal in a rectangle. Then I found the area of the smaller rectangle on the bottom to be $2 \times 6$ , which is 12 sq cm. Then I added $30 + 12$ to get 42 sq cm.
Lesson 15 New Room	No cool-down
Section C Check Section C Checkpoint	Problem 1 Find the area of the figure. Explain or show your reasoning. 6-sided shape. Straight sides. All side lengths meet at right angles. Side lengths. Bottom, 9 cm. Right side rises 5 cm, then goes left 2 cm, and goes up 3 cm. Top side length, 7 cm. Left side length, 8 cm. Show Solution 66 square centimeters. Sample responses: I can cut the figure vertically into a rectangle that is 8 cm by 7 cm and a rectangle that is 5 cm by 2 cm. The areas of those rectangles are 56 square centimeters and 10 square centimeters, so the total area is 66 square centimeters. $8 \times 9 = 72$ , $3 \times 2 = 6$ , $72 - 6 = 66$ Problem 2 The figure represents a garden. What is the area of the garden? Explain or show your reasoning. Show Solution 100 square feet. Sample responses: I can cut the garden vertically into 2 rectangles. The rectangle on the left is 5 feet by 10 feet, and it has an area of 50 square feet. The rectangle on the right is also 5 feet by 10 feet, and it has an area of 50 square feet. The total area is 100 square feet. I can cut the garden horizontally into 2 rectangles. The rectangle on the bottom is 15 feet by 5 feet, so it has an area of 75 square feet. The rectangle on top is 5 feet by 5 feet, so it has an area of 25 square feet. The total area is 100 square feet.