Create an ORIGINAL math assessment consisting of a minimum of 25 original (not copied, downloaded, taken from your district’s assessments, etc.) math questions. Your assessment will consist of a minimum of 12 enhanced multiple-choice items, a minimum of 8 constructed response items, and a minimum of 5 performance items. See Appendix B for complete details. (150 points – Final Project Part A). You are to use the same Mississippi Mathematics competency 5.MD.5 that you’ve used for other assignments in this course.
Here’s an original math assessment designed around the Mississippi Mathematics competency 5.MD.5 (related to understanding concepts of volume and measurement). This assessment includes enhanced multiple-choice, constructed response, and performance items.
Enhanced Multiple-Choice Items (12 Questions)
- What is the volume of a rectangular prism with a length of 5 cm, width of 4 cm, and height of 3 cm?
- A) 12 cm³
- B) 20 cm³
- C) 60 cm³
- D) 40 cm³
- Which of the following expressions correctly represents the volume of a cube with a side length of 7 cm?
- A) 7×7×77 \times 7 \times 7
- B) 7+7+77 + 7 + 7
- C) 727^2
- D) 7+7×77 + 7 \times 7
- A rectangular prism has a volume of 48 cubic inches. If the length is 4 inches and the width is 3 inches, what is the height?
- A) 4 inches
- B) 6 inches
- C) 3 inches
- D) 5 inches
- The volume of a rectangular prism is given by the formula V=l×w×hV = l \times w \times h. If the width doubles and the height remains the same, what happens to the volume?
- A) The volume is halved.
- B) The volume doubles.
- C) The volume remains the same.
- D) The volume triples.
- Which set of dimensions will result in a rectangular prism with a volume of 100 cubic meters?
- A) Length: 5 m, Width: 5 m, Height: 4 m
- B) Length: 10 m, Width: 2 m, Height: 5 m
- C) Length: 10 m, Width: 2 m, Height: 10 m
- D) Length: 10 m, Width: 5 m, Height: 2 m
- If a rectangular prism has a length of 8 cm, a width of 2 cm, and a height of 2 cm, which of the following shows the correct volume and its unit?
- A) 16 cm²
- B) 12 cm³
- C) 32 cm³
- D) 12 cm²
- Which of the following statements is true about the volume of a cube?
- A) Doubling the side length of a cube will quadruple its volume.
- B) Doubling the side length of a cube will double its volume.
- C) Doubling the side length of a cube will octuple (multiply by eight) its volume.
- D) Doubling the side length of a cube will halve its volume.
- A classroom fish tank is in the shape of a rectangular prism with dimensions 2 feet by 1 foot by 1.5 feet. What is the volume of the tank?
- A) 3 cubic feet
- B) 4 cubic feet
- C) 2 cubic feet
- D) 6 cubic feet
- If the length, width, and height of a rectangular prism are all tripled, how does the volume change?
- A) The volume becomes 6 times larger.
- B) The volume remains the same.
- C) The volume becomes 9 times larger.
- D) The volume becomes 27 times larger.
- What is the volume of a cube with a side length of 5 cm?
- A) 25 cm³
- B) 100 cm³
- C) 125 cm³
- D) 75 cm³
- A box is 7 inches long, 5 inches wide, and 6 inches high. What is the volume of the box?
- A) 210 cubic inches
- B) 105 cubic inches
- C) 30 cubic inches
- D) 18 cubic inches
- The volume of a prism is 240 cubic centimeters. If the height of the prism is 8 cm and the length is 10 cm, what is the width?
- A) 3 cm
- B) 6 cm
- C) 4 cm
- D) 5 cm
Constructed Response Items (8 Questions)
- Explain the concept of volume and how it is different from area. Provide examples to illustrate your explanation.
- Calculate the volume of a prism with a length of 9 inches, a width of 3 inches, and a height of 4 inches. Show your work.
- A cube has a volume of 343 cubic centimeters. What is the length of one side of the cube? Explain your reasoning.
- A shipping box in the shape of a rectangular prism has a volume of 120 cubic feet. If the box’s height is 10 feet and the width is 4 feet, what is the length? Show your calculations.
- Two rectangular prisms have the same volume. One prism has dimensions of 2 cm by 5 cm by 8 cm. Find a possible set of dimensions for the other prism. Explain how you found your answer.
- Describe how changing one dimension of a rectangular prism while keeping the others constant affects the volume. Provide an example using specific measurements.
- A storage unit in the shape of a rectangular prism is 15 feet long, 10 feet wide, and 8 feet high. Calculate the volume and explain how this information could be used when packing items for storage.
- Explain how you would determine the volume of an irregularly shaped object using the water displacement method.
Performance Items (5 Questions)
- Using a set of blocks, build a rectangular prism with a volume of 48 cubic centimeters. Provide a drawing or description of the dimensions of your prism.
- Measure and calculate the volume of a rectangular box (e.g., a cereal box) at home. Record the dimensions and show how you calculated the volume.
- Create a model of a cube using paper or cardboard with a side length of 5 cm. Calculate the volume and describe the steps you took to create and measure the cube.
- Draw two different rectangular prisms that both have a volume of 72 cubic inches. Label the dimensions of each prism and explain how they both result in the same volume.
- Find a container at home (e.g., a juice box) and measure its dimensions. Then, calculate its volume and compare it to the volume stated on the packaging. Discuss any discrepancies between your calculated volume and the stated volume.