Final Project 1
Final Project 1 – Math Assessment (Video Walk-Through:
https://somup.com/c0V3htxYeD Links to an external site.
)
Create an ORIGINAL math assessment consisting of 25 original (not copied, downloaded, taken from your district’s assessments, etc.) math questions. Your assessment will consist of
12 enhanced multiple-choice items,
8 constructed response items, and
5 performance items. See Appendix B for complete details. You are to use the same Mississippi Mathematics competency 5.MD.5 that you’ve used for other assignments in this course.
Multiple-Choice Items (12 questions)
· Purpose: Assess CCRS math standards and incorporate both math standards and math practices in real-world applications.
· Math multiple-choice questions assess procedural and conceptual standards.
· All questions require the integration of multiple skills and concepts.
· Answer choices – all distractors will be based on plausible missteps.
· Questions will vary in format, with a minimum of 4 different formats being used.
· See Unit 2B lecture for examples of different possible formats.
Math Assessment Grading Rubric
|
Criterion |
Advanced – 4 |
Proficient – 3 |
Basic – 2 |
Minimal – 1 |
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|
Multiple-Choice Questions – number of questions |
More than 12 multiple choice questions; more than 4 different formats appropriately used (6 pts) |
12 multiple choice questions;4 different formats appropriately used (5.1 pts) |
10 – 11 multiple choice questions; 3 appropriately used formats or 4 minimally appropriate formats (4.2 pts) |
fewer than 10 multiple choice questions; insufficient or inappropriately used formats (3.3 pts) |
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|
Multiple-Choice Questions – content of questions |
As a whole, the questions deeply assess the content of the objective at the targeted instructional level; includes integration of multiple skills and concepts (16 pts) |
All questions adequately assess the content of the objective at the targeted instructional level; includes integration of multiple skills and concepts (13.6 pts) |
Between half and most questions adequately assess the content of the objective at the targeted instructional level; includes integration of multiple skills or concepts (11.2 pts) |
Fewer than half of the questions adequately assess the content of the objective at the targeted instructional level; includes a few skills or concepts (8.8 pts) |
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|
Multiple-Choice Questions – quality of distractors |
All distractors represent logical errors students can be expected to make; distractors are ordered logically. (12 pts) |
All distractors represent logical errors students can be expected to make (10.2 pts) |
Most distractors represent common student errors but several are unrelated to common cognitive errors. (8.4 pts) |
Distractors bear little to no connection with common student errors. (6.6 pts) |
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Multiple-Choice Questions – Originality |
All 12+ questions are completely original to the author (8 pts) |
All 12 questions are completely original to the author (6.8 pts) |
Most questions are original to the author but some are copied from an outside source. (5.6 pts) |
Few questions are original to the author and many are copied from an outside source. (4.4 pts) |
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|
Multiple-Choice Questions – concept focus InTASC 6 CAEP R1.3 Content |
Question focus is a mix of procedure and concept standards with an emphasis on concept. (12 pts) |
Question focus is an equal mix of procedural and conceptual standards (10.2 pts) |
Question focus is a mix of procedure and concept with an emphasis on procedure (8.4 pts) |
Questions focus predominantly on procedural standards (6.6 pts) |
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|
Constructed Response Questions – number of questions |
More than 8 constructed response questions; more than 3 different formats appropriately used (6 pts) |
8 constructed response questions;3 different formats appropriately used |
6 -7 constructed response questions; 2 appropriately used formats or 3 minimally appropriate formats (4.2 pts) |
fewer than 6 constructed response questions; insufficient or inappropriately used formats (3.3 pts) |
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|
Constructed Response Questions – content of questions |
As a whole, the questions deeply assess the content of the objective at the targeted instructional level (16 pts) |
All questions adequately assess the content of the
objective at the targeted instructional level (13.6 pts) |
Between half and most questions adequately assess the content of the objective at the targeted instructional
level (11.2 pts) |
Fewer than half of the questions adequately assess the content of the objective at the targeted instructional
level (8.8 pts) |
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|
Constructed Response Questions – Originality |
All 8+ questions are completely original to the author (8 pts) |
All 8 questions are completely original to the author (6.8 pts) |
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|
Constructed Response Questions – concept focus InTASC 6 CAEP R1.3 Content |
Math Assessment Grading Rubric (cont.)
|
Performance Task – number of problems |
More than 5 performance task problems (6 pts) |
5 performance task
problems (5.1 pts) |
3 – 4 performance task problems (4.2 pts) |
fewer than 3 performance task problems (3.3 pts) |
|
Performance Task – construction |
Each question consists of multiple parts; each part conceptually related (8 pts) |
Each question consists of multiple parts; each part conceptually related (6.8 pts) |
Each question consists of multiple parts but each part not conceptually related (5.6 pts) |
Some questions consist of multiple parts but each part not conceptually related (4.4 pts) |
|
Performance Task – originality |
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|
Performance Task –Content of Questions |
||||
|
Performance Task – Concept Focus InTASC 6 |
Question focus is an equal mix of procedural and conceptual standards (10.2 pts) |
Question focus is a mix of procedure and concept with an emphasis on procedure (8.4 pts) |
Questions focus predominantly on procedural standards (6.8 pts) |
|
|
APA-compliant formatting |
Consistently follows APA format. There is a properly formatted and accurate reference page (NO errors) (5 pts) |
Consistently follows APA format. There is a properly formatted and accurate reference page (1-2 MINOR errors). (4.25 pts) |
Limited (3-5) APA errors in APA format including title page, running heads, citations, quotations or references. (3.5 pts) |
More than 5 APA errors in format including title page, running heads, citations, quotations or references. (2.75 pts) |
|
Mechanics |
The presentation demonstrates exceptional use of standard English conventions (mechanics, usage, grammar and syntax). NO ERRORS. (5 pts) |
The presentation demonstrates consistent use of standard English conventions (mechanics, usage, grammar and syntax). (1-2 MINOR errors). (4.25 pts) |
The presentation demonstrates inconsistent use of standard English conventions (mechanics, usage, grammar and syntax). (3-5 errors). (3.5 pts) |
The presentation does NOT demonstrate use of standard English conventions (mechanics, usage, grammar and syntax). (More than 5 errors). (2.75 pts) |
2
Unit 3: Writing Assignment
Standard: The student will understand concepts of volume and relate volume to multiplication and addition.
Enhanced multiple choice questions:
1. What is the volume of the cube?
A. 1 unit
B. 3 units
C. 1 cubic unit
D. 3 cubic units
2. Which rectangular prism has a volume of 72 units cubed?
A.
B.
C.
D.
3. The diagram shows a rectangular prism being broken down to find its volume.
Which equation represents the prisms volume?
4. Makayla is growing flowers in a terracotta planter. She rotates the planter by 1/8 of a circle every day. How many degrees does Makayla rotate the planter every day.
A. 40 degrees
B. 45 degrees
C. 90 degrees
D. 120 degrees
5. The figure can hold exactly 36-unit cubes without spaces between them.
If the figure is not drawn to scale, which dimensions could be the measurements of the figure shown?
Select
three (3) that apply.
A. 2x3x6
B. 12x12x12
C. 4x8x24
D. 2x2x9
E. 3x3x4
F. 4x6x12
6. Mary has sets of cement blocks (A, B, C, and D) with dimensions as shown in the table below.
|
Set Name |
Length (in feet) |
Width (in feet) |
Height (in feet) |
||||
|
A |
2 |
4 |
3 |
||||
|
B |
12 |
9 |
|||||
|
C |
6 |
||||||
|
D |
1 |
Which set of cement blocks will
NOT result in a volume of 24 cubic feet?
A. Set A
B. Set B
C. Set C
D. Set D
7. Macy is building a bench out of concrete.
What volume of concrete will be needed for Macy to complete the bench?
A. 8 feet cubed
B. 16 feet cubed
C. 20 feet cubed
D. 24 feet cubed
8. Allen has three math textbooks for school. The dimensions of each math textbook are 14in. x 8 in. x 1 in.
What is the volume of all three math textbooks stacked together?
A. 336 in. cubed
B. 224 in. squared
C. 112 in. cubed
D. 23 in. squared
9. Mischa and Micah are filling a glass rectangular prism with sand that they have collected from various beaches around the world.
If Mischa and Micah fill the prism without any overflow, how much sand do they use?
A. 300 cubic inches
B. 240 cubic inches
C. 80 cubic inches
D. 21 cubic inches
10. Examine the tissue box.
What is the volume of the tissue box?
A. 21 cubic inches
B. 64 cubic inches
C. 120 cubic inches
D. 240 cubic inches
11. The picture shows a rectangular prism being filled with cubic units.
How many total cubic units are needed to fill in the rectangular prism?
A. 12 cubic units
B. 27 cubic units
C. 48 cubic units
D. 64 cubic units
12. What is the volume of the rectangular box?
A. 9 cubic units
B. 12 cubic units
C. 20 cubic units
D. 30 cubic units
Constructed response questions:
13. The dimensions of Michael’s kitchen are 10 feet by 18 feet. The dimensions of Michael’s man cave are 14 feet by 20 feet by 8 feet. What is the total volume, in cubic feet, of the two rooms?
Show your work below and place your final answer on the line below.
Answer: _______________ cubic feet
14. A box has a length of 7 centimeters, a width of 5 centimeters, and a height of 8 centimeters.
What is the total volume of the box? Show your work and place the final answer in the box below.
|
_________ cubic centimeters |
15. Alex ran 4 yards and 2 feet. Carlos ran 5 yards. Enos ran 2 yards and 4 feet less than Carlos. How many total feet did they run?
Show your work and write your answer in the box below.
|
feet |
16. Quay works at a bakery that sales cupcakes, cakes, and pies.
Avery ordered the cake shown below.
What is the volume of the cake in cubic inches? Show your work and place your answer on the line below.
________________
__ cubic inches
17. Shakira ordered the cake shown below.
What is the volume of the cake?
________________________ cubic inches
18. What is the volume of the rectangular prism shown below?
Place your answer on the line below.
_________________ cubic centimeters
19. Find the base of the same rectangular prism in question 18.
Base = __________ x ____________
Place your answer on the line below.
________________
20. Find the volume of the luggage.
L = 3ft., W = 3ft., H = 2ft.
Solve to show your work and place your answer on the line below.
_________________________
Performance assessment items:
21. Jerry fills two boxes with one-centimeter cubes (Box A and Box B).
How many cubes can Jerry get into box A? ____________
Explain how you got your answer.
________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
How many cubes can Jerry fit into Box B? ____________________
Show your calculations below.
Which of the boxes holds more cubes? ______________________________
22. Look at the cubes below.
The total volume of each cube equals 250 centimeters cubed.
What is the volume of each individual cube? Explain how you came up with your answer on the lines below. ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
What other measurements must you look for in order to get the correct answer. __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
Solve each measurement and explain how you came up with your answer. ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
23. Lyinkas’ doctor suggests that she drinks 8 fluid ounces of water 8 times a day. Lyinka has a bottle that holds 1 ¼ pints of water when filled. Over the course of the day, Lyinka has filled the water bottle three times and drank all of the water each time. Lyinka claims that she drank the total amount of water recommended by her doctor. Explain why Lyinkas’ claim is false.
______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
24. The science teacher has 0.4 liters of diet coke. She gives each of her students a container and a 5-milliliter spoon. Shen then asks her 22 students to put two spoonfuls of diet coke into their containers. How many milliliters of diet coke will be left after all 22 students have filled their containers? Explain what process you should use to come up with the answer to this question.
____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
25. A right rectangular prism is shown below.
How would you determine the volume of the prism?
________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
References
Mississippi Department of Education (2016).
Mississippi college and career readiness for mathematics scaffolding document seventh grade. Retrieved from
mdek12default.org/sites/default/files/Offices/Secondary%20Ed/ELA/ccr/Math/07.Grade-7-Math-Scaffolding-Doc-pdf
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2
Unit 3: Writing Assignment
Standard: The student will understand concepts of volume and relate volume to multiplication and addition.
Enhanced multiple choice questions:
1. What is the volume of the cube?
A. 1 unit
B. 3 units
C. 1 cubic unit
D. 3 cubic units
2. Which rectangular prism has a volume of 72 units cubed?
A.
B.
C.
D.
3. The diagram shows a rectangular prism being broken down to find its volume.
Which equation represents the prisms volume?
4. Makayla is growing flowers in a terracotta planter. She rotates the planter by 1/8 of a circle every day. How many degrees does Makayla rotate the planter every day.
A. 40 degrees
B. 45 degrees
C. 90 degrees
D. 120 degrees
5. The figure can hold exactly 36-unit cubes without spaces between them.
If the figure is not drawn to scale, which dimensions could be the measurements of the figure shown?
Select
three (3) that apply.
A. 2x3x6
B. 12x12x12
C. 4x8x24
D. 2x2x9
E. 3x3x4
F. 4x6x12
6. Mary has sets of cement blocks (A, B, C, and D) with dimensions as shown in the table below.
|
Set Name |
Length (in feet) |
Width (in feet) |
Height (in feet) |
||||
|
A |
2 |
4 |
3 |
||||
|
B |
12 |
9 |
|||||
|
C |
6 |
||||||
|
D |
1 |
Which set of cement blocks will
NOT result in a volume of 24 cubic feet?
A. Set A
B. Set B
C. Set C
D. Set D
7. Macy is building a bench out of concrete.
What volume of concrete will be needed for Macy to complete the bench?
A. 8 feet cubed
B. 16 feet cubed
C. 20 feet cubed
D. 24 feet cubed
8. Allen has three math textbooks for school. The dimensions of each math textbook are 14in. x 8 in. x 1 in.
What is the volume of all three math textbooks stacked together?
A. 336 in. cubed
B. 224 in. squared
C. 112 in. cubed
D. 23 in. squared
9. Mischa and Micah are filling a glass rectangular prism with sand that they have collected from various beaches around the world.
If Mischa and Micah fill the prism without any overflow, how much sand do they use?
A. 300 cubic inches
B. 240 cubic inches
C. 80 cubic inches
D. 21 cubic inches
10. Examine the tissue box.
What is the volume of the tissue box?
A. 21 cubic inches
B. 64 cubic inches
C. 120 cubic inches
D. 240 cubic inches
11. The picture shows a rectangular prism being filled with cubic units.
How many total cubic units are needed to fill in the rectangular prism?
A. 12 cubic units
B. 27 cubic units
C. 48 cubic units
D. 64 cubic units
12. What is the volume of the rectangular box?
A. 9 cubic units
B. 12 cubic units
C. 20 cubic units
D. 30 cubic units
Constructed response questions:
13. The dimensions of Michael’s kitchen are 10 feet by 18 feet. The dimensions of Michael’s man cave are 14 feet by 20 feet by 8 feet. What is the total volume, in cubic feet, of the two rooms?
Show your work below and place your final answer on the line below.
Answer: _______________ cubic feet
14. A box has a length of 7 centimeters, a width of 5 centimeters, and a height of 8 centimeters.
What is the total volume of the box? Show your work and place the final answer in the box below.
|
_________ cubic centimeters |
15. Alex ran 4 yards and 2 feet. Carlos ran 5 yards. Enos ran 2 yards and 4 feet less than Carlos. How many total feet did they run?
Show your work and write your answer in the box below.
|
feet |
16. Quay works at a bakery that sales cupcakes, cakes, and pies.
Avery ordered the cake shown below.
What is the volume of the cake in cubic inches? Show your work and place your answer on the line below.
________________
__ cubic inches
17. Shakira ordered the cake shown below.
What is the volume of the cake?
________________________ cubic inches
18. What is the volume of the rectangular prism shown below?
Place your answer on the line below.
_________________ cubic centimeters
19. Find the base of the same rectangular prism in question 18.
Base = __________ x ____________
Place your answer on the line below.
________________
20. Find the volume of the luggage.
L = 3ft., W = 3ft., H = 2ft.
Solve to show your work and place your answer on the line below.
_________________________
Performance assessment items:
21. Jerry fills two boxes with one-centimeter cubes (Box A and Box B).
How many cubes can Jerry get into box A? ____________
Explain how you got your answer.
________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
How many cubes can Jerry fit into Box B? ____________________
Show your calculations below.
Which of the boxes holds more cubes? ______________________________
22. Look at the cubes below.
The total volume of each cube equals 250 centimeters cubed.
What is the volume of each individual cube? Explain how you came up with your answer on the lines below. ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
What other measurements must you look for in order to get the correct answer. __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
Solve each measurement and explain how you came up with your answer. ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
23. Lyinkas’ doctor suggests that she drinks 8 fluid ounces of water 8 times a day. Lyinka has a bottle that holds 1 ¼ pints of water when filled. Over the course of the day, Lyinka has filled the water bottle three times and drank all of the water each time. Lyinka claims that she drank the total amount of water recommended by her doctor. Explain why Lyinkas’ claim is false.
______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
24. The science teacher has 0.4 liters of diet coke. She gives each of her students a container and a 5-milliliter spoon. Shen then asks her 22 students to put two spoonfuls of diet coke into their containers. How many milliliters of diet coke will be left after all 22 students have filled their containers? Explain what process you should use to come up with the answer to this question.
____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
25. A right rectangular prism is shown below.
How would you determine the volume of the prism?
________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
References
Mississippi Department of Education (2016).
Mississippi college and career readiness for mathematics scaffolding document seventh grade. Retrieved from
mdek12default.org/sites/default/files/Offices/Secondary%20Ed/ELA/ccr/Math/07.Grade-7-Math-Scaffolding-Doc-pdf
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