Purchasing for Our New Park Assessment

Transcription

1 Purchasing for Our New Park Assessment Name: Date: Final Assessment: Purchasing for our new park..how much will it cost? Multiple Choice: 1. Antawan was painting a picture for his aunt s birthday. His mother went to the local frame shop to buy wood for the frame. How much wood would she need to purchase to go around the entire picture? 48 inches 32 inches A) 80 inches B) 112 inches C) 128 inches D) 160 inches 2. Sally just adopted a new dog. She wanted to build a dog run in her back yard so that the dog could be outside while she was at work. This is her plan: 10 feet 8.5 feet What is the total area of this space? a) 37 square feet b) 80 square feet c) 85 square feet d) 90 square feet Purchasing for Our New park Assessment Material Page 1 of 22 1

2 3. Jose knew that the total perimeter around the rectangular field was 48 yards. He already determined the length of the field was 13.5 yards long. How long is the missing dimension? Perimeter = 48 yards 13.5 yards a) 10.5 yards b) 11 yards c) 21 yards d) 31 yards 4) Santana and Esteban were playing in the 4 foot by 6 foot sand box. They were wondering how much sand the box held if the sand was 2.5 feet deep. 4 feet 6 feet a) 24 cubic feet b) 48 cubic feet c) 60 cubic feet d) 72 cubic feet Purchasing for Our New park Assessment Material Page 2 of 22 2

3 5) Svetlana and her brother, David, were helping their father put up a wallpaper border along the ceiling in each of their bedrooms. What was the total length of wallpaper border that was used for this project? David s Bedroom a) feet b) feet c) feet d) feet 6) Jamaica s aunt was replacing the counter tops in her house. She asked Jamaica to cut out the cardboard pattern for her new counter top and determine the area of the pattern so that she could buy the new tiles. What was the area of the countertop? 2 feet 2 feet Purchasing for Our New park Assessment Material Page 3 of 22 3

4 8 feet 6 feet sink 2.5 feet 2.5 feet a) 24 square feet b) 30 square feet c) 31 square feet d) 35 square feet Purchasing for Our New park Assessment Material Page 4 of 22 4

5 Short Answer: 7. The local community center had a small outdoor pool that was 45 feet long, 30 feet wide and 4 feet deep. How much water did the pool hold? Show all your work using words, numbers and pictures. 4 feet 30 feet 45 feet The amount of water the tank held is Purchasing for Our New park Assessment Material Page 5 of 22 5

6 8. Joshua and Hannah were decorating the wall in the gym for the after school dance. It was their job to design the poster for the wall that would cover the painted school mascot. The mascot covered an area of square feet. They found the length of the mascot to be 7.75 feet. They knew that they could find the height of the poster without measuring it. What is the height of the poster? Show work to support your answer using words, numbers and/or pictures. The height of the poster is Purchasing for Our New park Assessment Material Page 6 of 22 6

7 9. Jose was trying to decide which size of box he would buy to send a package to his uncle in Alaska. He knew that he wanted the box to hold at least 5,000 cubic inches. He also wanted the least amount of extra space in the box. Jose narrowed his choices to two different boxes. Box A Box B 12 inches 12 inches 24 inches 12 inches 18 inches 24 inches Which box should Jose choose? Calculate the volume of Box A Calculate the volume of Box B Show work to support your choice using words, number and/or pictures. Purchasing for Our New park Assessment Material Page 7 of 22 7

8 Extended Response: 10. You recently decided that you wanted to start raising fish in a fish tank. You are at the local pet store to purchase supplies for the fish tank. You want to buy bags of rocks to fill the bottom of the fish tank up 4 inches deep. Each bag of rocks costs $1.99 and holds hold 96 cubic inches of rocks. 24 inches 12 inches 36 inches How many bags of rock do you need to purchase? How much money will it cost to purchase the rocks for the fish tank? Include a sales tax of 8% in the total cost. Use words, numbers and/or pictures to explain your answers. Purchasing for Our New park Assessment Material Page 8 of 22 8

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10 Purchasing for Our New Park Assessment Solutions Name: Date: Final Assessment: Purchasing for our new park..how much will it cost? Multiple Choice: 1. Antawan was painting a picture for his aunt s birthday. His mother went to the local frame shop to buy wood for the frame. How much wood would she need to purchase to go around the entire picture? 48 inches 32 inches A) 80 inches (Added the length and width) B) 112 inches (Added 2 of the lengths and 1 width) C) 128 inches (Added 2 of the widths and 1 one length) D) 160 inches (Correct answer) 2. Sally just adopted a new dog. She wanted to build a dog run in her back yard so that the dog could be outside while she was at work. This is her plan: 10 feet 8.5 feet What is the total area of this space? a) 37 square feet (Found the perimeter instead of the area) b) 80 square feet (Disregarded the decimal and found 8X10) c) 85 square feet (Correct Answer) d) 90 square feet (Rounded 8.5 to 9 and found 9X10) Purchasing for Our New park Assessment Material Page 10 of 22 10

11 3. Jose knew that the total perimeter around the rectangular field was 48 yards. He already determined the length of the field was 13.5 yards long. How long is the missing dimension? Perimeter = 48 yards 13.5 yards a) 10.5 yards (Correct Answer) b) 11 yards (48 yards- 13 yards-13 yards) c) 21 yards (48 yards 13.5 yards yards) d) 31 yards (48 yards yards) 4) Santana and Esteban were playing in the 4 foot by 6 foot sand box. They were wondering how much sand the box held if the sand was 2.5 feet deep. 4 feet 6 feet a) 24 cubic feet (6 feet X 4 feet) b) 48 cubic feet (6 feet X 4 feet X 2 feet) c) 60 cubic feet (Correct Answer) d) 72 cubic feet- (6 feet X 4 feet X 3 feet- rounded 2.5 to 3) Purchasing for Our New park Assessment Material Page 11 of 22 11

12 5) Svetlana and her brother, David, were helping their father put up a wallpaper border along the ceiling in each of their bedrooms. What was the total length of wallpaper border that was used for this project? David s Bedroom 9.5 feet Svetlana s Bedroom feet 12 feet 13 feet 12 feet 8 feet a) feet ( ) b) feet ( added all the numbers shown) c) feet ( ) d) feet (Correct Answer) Purchasing for Our New park Assessment Material Page 12 of 22 12

13 6) Jamaica s aunt was replacing the counter tops in her house. She asked Jamaica to cut out the cardboard pattern for her new counter top and determine the area of the pattern so that she could buy the new tiles. What was the area of the countertop? 2 feet 2 feet sink 2.5 feet 8 feet 6 feet 2.5 feet a) 24 square feet ( (8X2)+ (2X2) + (2X2) ) b) 30 square feet (Correct Answer) c) 31 square feet ( ) d) 35 square feet ( (2.5 X 8) + (2.5 X 6) ) Purchasing for Our New park Assessment Material Page 13 of 22 13

14 7. Short Answer: ME03: Use a systematic procedures to measure, describe and compare angle measures or the volume of rectangular prisms- identify the attributes to be measured, select and use appropriate unit of measurement, select and use a tool that matches the unit chosen, compare attributes to units on tool or count to determine the number of units; use formulas to determine the missing measurements for circles, triangles and rectangular prisms. Item Characteristics: E) Items may ask students to determine volume and/or surface area of a rectangular prism. 2-point response: The student shows understanding of the procedures to determine the volume of a rectangular prism by the following: Found the volume of the swimming pool: 5,400 cubic feet or 5,400 feet ³ Use an appropriate strategy to determine the volume of the rectangular prism: Volume= Length X Width X Height or equivalent. 1- point response: The student shows partial understanding of the procedures to determine the volume of the rectangular prism by doing one of the following: Found the volume of the swimming pool: 5,400 cubic feet or 5,400 feet ³ Use an appropriate strategy to determine the volume of the rectangular prism: Volume= Length X Width X Height or equivalent. 0-point response: The student shows very little or no understanding of the procedures to determine the volume of a rectangular prism. Purchasing for Our New park Assessment Material Page 14 of 22 14

15 8. Short Answer ME03: Use a systematic procedures to measure, describe and compare angle measures or the volume of rectangular prisms- identify the attributes to be measured, select and use appropriate unit of measurement, select and use a tool that matches the unit chosen, compare attributes to units on tool or count to determine the number of units; use formulas to determine the missing measurements for circles, triangles and rectangular prisms. Item Characteristics: F) Item may ask students to determine linear dimensions of a circle, triangle, or rectangle based on a given circumference, perimeter, or area. 2-point response: The student shows understanding of the procedures to determine a linear dimension of a rectangle based on the area and one dimension: Found the missing dimension of the rectangle to be 7 feet. Use an appropriate strategy to determine the missing dimension: 7.75 feet X??? = square feet sq feet/7.75 feet = 7 feet 1- point response: The student shows partial understanding of the procedures to determine the volume of the rectangular prism by doing one of the following: Found the missing dimension of the rectangle to be 7 feet. Use an appropriate strategy to determine the missing dimension: 7.75 feet X??? = square feet sq feet/7.75 feet = 7 feet 0-point response: The student shows very little or no understanding of the procedures to determine the missing dimension of the rectangle. Purchasing for Our New park Assessment Material Page 15 of 22 15

16 9. ME01: Demonstrate understanding of how a change in one linear dimension affects other linear and area measurements of rectangles, triangles, and circles, demonstrate understanding of the concepts of volume and surface area of rectangular prisms. Item Characteristics: i) Items may ask students to compare angle measurements or the volumes of rectangular prisms. 2-point response: The student shows understanding comparing the volume of two rectangular prisms by doing all the following: Found volume of Box A:.4,456 cubic inches or 4,456 inches ³ Found volume of Box B: 5,184 cubic inches or 5,184 inches ³ Chose Box B 1- point response: The student shows partial understanding of comparing the volume of two rectangular prisms by doing one of the following: Found volume of Box A:.4,456 cubic inches or 4,456 inches ³ Found volume of Box B: 5,184 cubic inches or 5,184 inches ³ Chose Box B 0-point response: The student shows very little or no understanding of comparing the volume of two rectangular prisms. Purchasing for Our New park Assessment Material Page 16 of 22 16

17 Extended Response: 10. You recently decided that you wanted to start raising fish in a fish tank. You are at the local pet store to purchase supplies for the fish tank. You want to buy bags of rocks to fill the bottom of the fish tank up 4 inches deep. Each bag of rocks costs $1.99 and holds hold 96 cubic inches of rocks. 24 inches 36 inches 12 inches How many bags of rock do you need to purchase? How much money will it cost to purchase the rocks for the fish tank? Include a sales tax of 8% in the total cost. Use words, numbers and/or pictures to explain your answers. Fish Tank Dimension: 36 inches by 12 inches by 24 inches. The rock will only cover 4 inches of the 24 inches. Volume of rock needed: 4 inches X 36 inches X 12 inches = 1728 cubic inches 1728 cubic inches / 96 cubic inches (per bag) = 18 bags of rocks 18 bags X $1.99 = $35.82 $35.82 X 0.08 (sales tax) = $2.87 $ = $38.69 Number of bags needed to purchase: 18 bags of rocks Total cost of the rocks: $38.69 Purchasing for Our New park Assessment Material Page 17 of 22 17

18 Scoring Rubic for Extended-Response -4 Point Question Rubric ME03: Use a systematic procedures to measure, describe and compare angle measures or the volume of rectangular prisms- identify the attributes to be measured, select and use appropriate unit of measurement, select and use a tool that matches the unit chosen, compare attributes to units on tool or count to determine the number of units; use formulas to determine the missing measurements for circles, triangles and rectangular prisms. Item Characteristic: Item may ask students to determine volume and/or surface area pf a rectangular prism. 4-point response: The student solves a problem by doing the following: Shows understanding by organizing and using relevant information by correctly identifying the dimensions needed to determine volume of rocks. Use appropriate strategies and/or procedures to construct the solution by using the volume formula: volume = length X width X height Provides an answer that is a viable solution, mathematically correct and answers the questions asked by identifying 18 bags of rocks and total cost of $ point response: The student shows understanding of the problem, uses appropriate strategies and/or procedures, and provides an answer that follows from the student work. Calculation errors or gaps limit the viability or completeness of the solution. 2-point response: The student shows some understanding of the problem and limited use of appropriated strategies and/or procedures. The answer is a partial solution to the problem situation, is incorrect, or does not answer the questions asked. 1-point response: The student does one of the following: Shows partial understanding of the problem Uses appropriate strategies and/or procedures with missing or incorrect answer Provides a correct answer with missing or incorrect work 0-point response: The student shows very little or no understanding of how to solve the problem. Purchasing for Our New park Assessment Material Page 18 of 22 18

19 Name: Date: Pre-Assessment- Purchasing for our new park..how much will it cost? 1. Olga is trying to start a garden in her large back yard. If she wants a 9 feet by 6 feet garden, how much border would she need to purchase for the garden? 6 feet 9 feet 2. Stephen is putting a fence around his yard. Help him determine the total amount of fencing he will need to purchase. 5.5 feet 6.25 feet 13.5 feet 6.5 feet 8.25 feet 12 feet 3. Oliver wants to build a shed in his back yard. But before he starts to build the shed, he needs to dig a hole for the foundation. What is the area that he is going to have to dig if the shed will be 11 feet by 10 feet? 11 feet 10 feet Purchasing for Our New park Assessment Material Page 19 of 22 19

20 4. Josephine is designing a flower garden that would run along the front of the house and the driveway. What would be the total area of the flower garden? 2.5 feet 12.5 feet 10 feet 12.5 feet 2.5 feet 5. Tasha and her brother are filling their new fish tank with water. How much water will the fish tank hold? 1.5 feet 1 foot 2 feet 6. Antonio wants to put down a new cement driveway. How much cement will he need to purchase? 15 feet.75 feet 12 feet Purchasing for Our New park Assessment Material Page 20 of 22 20

21 Name: Date: Pre-Assessment- Purchasing for our new park..how much will it cost? 1. Olga is trying to start a garden in her large back yard. If she wants a 9 feet by 6 feet garden, how much border would she need to purchase for the garden? 6 feet Answer Key: 30 feet 9 feet 2. Stephen is putting a fence around his yard. Help him determine the total amount of fencing he will need to purchase. 5.5 feet 13.5 feet 6.25 feet 6.5 feet Answer Key: 52 feet 8.25 feet 12 feet 3. Oliver wants to build a shed in his back yard. But before he starts to build the shed, he needs to dig a hole for the foundation. What is the area that he is going to have to dig if the shed will be 11 feet by 10 feet? 11 feet Answer Key: 110 square feet 10 feet Purchasing for Our New park Assessment Material Page 21 of 22 21

22 4. Josephine is designing a flower garden that would run along the front of the house and the driveway. What would be the total area of the flower garden? 12.5 feet 2.5 feet 10 feet 12.5 feet Answer Key: square feet 2.5 feet 5. Tasha and her brother are filling their new fish tank with water. How much water will the fish tank hold? 1.5 feet 1 foot Answer Key: 6 cubic feet 4 feet 6. Antonio wants to put down a new cement driveway. How much cement will he need to purchase? 15 feet Answer Key: 135 cubic feet.75 feet 12 feet Purchasing for Our New park Assessment Material Page 22 of 22 22