Unit 7 Two Dimensional Shapes And Perimeter — Unit Plan

Title	Assessment
Lesson 1 What Attributes Do You See?	Tell Me About It Select all the statements that are true about the shape. The shape has 3 sides. The shape has 4 sides. The shape has 5 sides. The shape has a right angle. None of the sides are the same length. Two of the sides are the same length. All of the sides are the same length. Show Solution B, F
Lesson 2 Attributes of Triangles and Quadrilaterals	Describe the Shape Describe as many attributes of the shape as you can. Show Solution Sample response: It’s a quadrilateral because it has 4 sides. It has 2 sides the same length. It has 2 right angles. It has 2 sides that go in the same direction.
Lesson 3 Attributes that Define Shapes	Mystery Shape Which quadrilateral is being described? Hint 1: It has 4 sides. Hint 2: All of its sides are the same length. Hint 3: It has no right angles. A B C D Which hints do you need to guess the quadrilateral? Explain your reasoning. Show Solution B Sample responses: Hints 2 and 3, because Hint 2 tells you that they have sides that are the same length which gets rid of A and D. Then Hint 3 tells you that there are no right angles which gets rid of C. You only need Hint 3 because B is the only shape with no right angles.
Lesson 4 Attributes of Rectangles, Rhombuses, and Squares	Find the Rhombuses Select all of the quadrilaterals that are rhombuses. Explain your reasoning. A B C D E Show Solution B and D. Sample response: They have 4 sides and all the sides are the same length.
Lesson 5 Attributes of Other Quadrilaterals	Describe It, Draw It Select all the ways you could name this shape. Explain your reasoning. triangle quadrilateral pentagon square rhombus rectangle Draw a quadrilateral that is not a rectangle, a rhombus, or a square. Show Solution B and E. Sample response: It has 4 sides, which makes it a quadrilateral. All the sides have the same length, which makes it a rhombus. A drawing of a quadrilateral with no right angles and no sides having the same length.
Section A Check Section A Checkpoint	Problem 1 Draw a quadrilateral that is not a rectangle. Explain why your shape is not a rectangle. Show Solution Sample response: This shape is not a rectangle because the angles are not right angles. Problem 2 Select all the rhombuses. A. B. C. D. Show Solution B, C

Lesson 6 Distance around Shapes	What is the Perimeter? Find the perimeter of this shape. Explain or show your reasoning. Show Solution 28 units. Sample response: There are 2 sides that are 2 units each, and 2 sides that are 6 units each, so that's $(2 \times 2) + (2 \times 6)$ or $4 + 12$ , which is 16. There are 2 other sides that are 8 units and 4 units, so that’s 12 more. $16+12=28$
Lesson 7 Same Perimeter, Different Shapes	Create Your Own Shapes Draw 2 different shapes that have a perimeter of 32 units. Show Solution Answers vary.
Lesson 8 Find the Perimeter	A Triangle and a Square Find the perimeter of the triangle and the square. Explain or show your reasoning. A B Show Solution A: 24 in. Sample response: $6 + 8+ 10 = 24$ B: 32 in. Sample response: I multiplied $4\times8$ since there are 4 sides that are the same length.
Lesson 9 Perimeter Problems	Sides of a Pool A rectangular swimming pool has a perimeter of 94 feet. If it is 32 feet on one side, what are the lengths of the other three sides? Explain or show your reasoning. Show Solution 15 feet, 32 feet, and 15 feet. Sample response: I know that one of the other sides is the same length as 32 feet, so that's $32 + 32 = 64$ for two sides. $94 - 64 = 30$ , so the other two sides are 30 feet together. I can divide 30 by 2 to get 15.
Section B Check Section B Checkpoint	Problem 1 Find the perimeter of the shape. Show Solution 26 units Problem 2 All sides of the hexagon have the same length. What is the perimeter of the hexagon? Explain or show your reasoning. Show Solution 48 inches. Sample response: $8+8+8+8+8+8=48$ Problem 3 Tyler’s rectangular room has a total perimeter of 54 feet. The length of Tyler’s room is 13 feet. What is the width of the room? Explain or show your reasoning. Show Solution 14 feet. Sample response: $13 + 13 = 26$ so I know that two sides take up 26 feet. $54 -26 = 28$ so the other two sides are 28 feet. I can divide by 2 to get their length $28 \div 2 = 14$ .

Lesson 10 Problem Solving with Perimeter and Area	Lin’s Garden Fence Lin is building a fence around her rectangular garden. A diagram is shown. The area of the garden is 36 square feet. How many feet of fencing material will she need to enclose the whole garden? Show Solution 30 feet. Sample response: If the area is 36 square feet and one side is 3, I can divide 36 by 3 to find the missing side. Since $3 \times 12 = 36$ , the missing side is 12 feet long. The perimeter can be found by adding $2 \times 12$ and $2 \times 3$ , which is 24 and 6. $24 + 6 = 30$ .
Lesson 11 Rectangles with the Same Perimeter	Perimeter of 18 Draw two rectangles that each have a perimeter of 18 units, but different areas. Explain or show your reasoning. Show Solution Sample response: Student draws rectangles that are 1 by 8 (area: 8 square units), 2 by 7 (area: 14 square units), 3 by 6 (area: 18 square units), or 4 by 5 (20 square units), and explain how the perimeter is the same, but the area is different.
Lesson 12 Rectangles with the Same Area	Area of 36 Draw two rectangles that each have an area of 36 square units but different perimeters. Explain or show your reasoning. Show Solution Sample response: Student draws rectangles that are 6 by 6 (perimeter: 24 units), 9 by 4 (perimeter: 26 units), 12 by 3 (perimeter: 30 units), or 18 by 2 (perimeter: 40 units), and explain how the area is the same but the perimeter is different.
Section C Check Section C Checkpoint	Problem 1 A town is building a rectangular playground with fencing all around it. The area of the playground is 99 square yards. One side of the playground needs 11 yards of fencing. How much fencing is needed to enclose the entire playground? Explain or show your reasoning. Show Solution 40 yards of fencing. Sample response: $9 \times 11 = 99$ , so the second side of the playground is 9 yards. This means two sides are 11 yards and two sides are 9 yards. $11 + 11 + 9 + 9 = 40$ Problem 2 Draw a rectangle that has the same perimeter as Rectangle N but has a different area. Label it P. What is the area of P? Draw a rectangle that has the same area as Rectangle N but has a different perimeter. Label it Q. What is the perimeter of Q? Show Solution Sample response: 25 square units 28 units

Lesson 13 Shapes and Play	Possible Perimeters A rectangular mural is being made for a park that will take up 64 square feet. Give 2 possible perimeters for the mural. Explain or show your reasoning. Show Solution Sample responses: 40 feet. A 4 foot by 16 foot rectangle would have an area of 64 square feet and a perimeter of 40 feet. 68 feet because I can multiply $2\times32$ to get 64, but $2+2+32+32=68$ .
Lesson 14 Wax Prints	Quadrilaterals in a Pattern Describe the quadrilaterals that were used in this pattern. If the image of the pattern is a rectangle with side lengths of 9 inches by 6 inches, what is the perimeter? Explain your reasoning. Show Solution Sample responses: There are quadrilaterals in white and gray that don’t have any right angles. The black quadrilaterals are rhombuses. The grey shapes and the white shapes are quadrilaterals that have 2 equal sides. The gray and white shapes are not rectangles, rhombuses, or squares. It looks like there are tall skinny rectangles that are shaded white and gray behind the black rhombuses. 30 inches. Sample response: I added 9 plus 6 to get 15, then multiplied by 2 since there would be another set of sides that were 9 inches and 6 inches.
Lesson 15 A Space for Chickens	No cool-down
Section D Check Section D Checkpoint	Problem 1 A rectangular garden has an area of 21 square yards. What could be the side lengths of the garden? Explain or show your reasoning. Show Solution Sample response: 3 yards wide and 7 yards long since $3 \times 7 = 21$ . Problem 2 Lin drew a rectangle with a perimeter of 34 centimeters. The width of the rectangle is 6 cm. What is the length of the rectangle? What is the area of the rectangle? Show Solution 11 cm 66 square centimeters