# Mathematics Grade 3 Unit 4 Pre-Assessment

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1 Name Date / 31 points Mathematics Grade 3 Unit 4 Pre-Assessment G.1 1. Which shape must have four equal sides and four right angles? A. parallelogram B. rectangle C. rhombus D. square G.1 2. Randy and Jessica could not agree on their descriptions of squares and rectangles. Randy stated that all rectangles are squares, but Jessica believes that all squares are rectangles. Which student is correct, and why? G.2 3. The rectangle below is partitioned into equal parts. What is the area of each part of the rectangle? A. 1 5 of the rectangle B. 1 6 of the rectangle C. 1 7 of the rectangle D. 1 8 of the rectangle

2 G.2 4. Part A: Partition the shapes into 3 parts with equal area. Part B: What is the unit fraction used to describe the partitioned circle? G.1 5. Part A: Circle the shapes that are quadrilaterals. Write the name of each quadrilateral in the shape. Part B: Explain at least two attributes that can be used to categorize these shapes as quadrilaterals.

3 MD.4 6. Measure the arrow to the nearest quarter inch. Answer: MD.4 7. Mrs. Ellis counted the number of notebooks that she has in her classroom closet. She noticed she has five notebooks that are ¼ inch thick, nine notebooks that are ½ inch thick, eleven notebooks that are ¾ inch thick, and seven notebooks that are 1 inch thick. Which line plot correctly shows this set of data? A. B. C. D.

4 MD.3 8. T.J. took a survey of some third graders to see which genre of books they prefer to read. The results of the survey are below. Mystery OUR FAVORITE TYPES OF BOOKS TO READ Science Fiction Biography Realistic Fiction Poetry & Drama KEY: Each = 4 votes Part A: What conclusion can be drawn from reading this picture graph? A. The number of students who enjoy reading science fiction is half the number of students who like mystery books. B. The two least popular genres among the students are science fiction and biography. C. Four more students prefer poetry to realistic fiction. D. More students prefer to read science fiction and biography than realistic fiction and poetry. Part B: Prove that your answer is correct using numbers, words, or pictures.

5 MD.3 9. Below is a graph that shows the lifespan, in years, of several animals. MD.8 How many years longer are the lifespans of the queen ant and mouse than hamster and starfish? A. 7 years B. 8 years C. 25 years D. 42 years 10. The figure below represents the dimension of a dog park which is bordered by three roads: Thomaston, Jackson, and Miller. City officials want to put a fence around the park. The length of fencing needed alongside Thomaston is 55 meters, and the length of fencing needed alongside Miller is 75 meters. If the total perimeter of the park is 200 meters, how many meters of fencing is needed alongside Jackson? Explain how you got your answer using numbers, words, or pictures. Answer

6 MD.7.b 11. A family is given 60 square feet of carpet. They must decide which room in their home to re-carpet. Which room shown above can they completely re-carpet with the 60 square feet of carpet provided? A. Room A B. Room B C. Room C D. Room D MD.7a 12. The figures below represent the dimensions of two rooms. Part A: Write the equation used to find the area of each room and solve. Room A Room B Part B: What is the difference between the areas of the two bedrooms above? Show your work below.

7 MD James is finding the area of two rectangles. The two rectangles have the same area but different perimeters. What could be the measurements of the other rectangle? A. 2 ft. by 5 ft. B. 2 ft. by 10 ft. C. 4 ft. by 10 ft. D. 8 ft. by 10 ft.

8 Name Date / 31 points Mathematics Grade 3 Unit 4 Post Assessment G.1 1. Which shape must have four equal sides and four right angles? A. parallelogram B. rectangle C. rhombus D. square G.1 2. Randy and Jessica could not agree on their descriptions of squares and rectangles. Randy stated that all rectangles are squares, but Jessica believes that all squares are rectangles. Which student is correct, and why? G.2 3. The rectangle below is partitioned into equal parts. What is the area of each part of the rectangle? A. 1 5 of the rectangle B. 1 6 of the rectangle C. 1 7 of the rectangle D. 1 8 of the rectangle

9 G.2 4. Part A: Partition the shapes into 3 parts with equal area. Part B: What is the unit fraction used to describe the partitioned circle? G.1 5. Part A: Circle the shapes that are quadrilaterals. Write the name of each quadrilateral in the shape. Part B: Explain at least two attributes that can be used to categorize these shapes as quadrilaterals.

10 MD.4 6. Measure the arrow to the nearest quarter inch. Answer: MD.4 7. Mrs. Ellis counted the number of notebooks that she has in her classroom closet. She noticed she has five notebooks that are ¼ inch thick, nine notebooks that are ½ inch thick, eleven notebooks that are ¾ inch thick, and seven notebooks that are 1 inch thick. Which line plot correctly shows this set of data? A. B. C. D.

11 MD.3 8. T.J. took a survey of some third graders to see which genre of books they prefer to read. The results of the survey are below. Mystery OUR FAVORITE TYPES OF BOOKS TO READ Science Fiction Biography Realistic Fiction Poetry & Drama KEY: Each = 4 votes Part A: What conclusion can be drawn from reading this picture graph? A. The number of students who enjoy reading science fiction is half the number of students who like mystery books. B. The two least popular genres among the students are science fiction and biography. C. Four more students prefer poetry to realistic fiction. D. More students prefer to read science fiction and biography than realistic fiction and poetry. Part B: Prove that your answer is correct using numbers, words, or pictures.

12 MD.3 9. Below is a graph that shows the lifespan, in years, of several animals. MD.8 How many years longer are the lifespans of the queen ant and mouse than hamster and starfish? A. 7 years B. 8 years C. 25 years D. 42 years 10. The figure below represents the dimension of a dog park which is bordered by three roads - Thomaston, Jackson, and Miller. City officials want to put a fence around the park. The length of fencing needed alongside Thomaston is 55 meters, and the length of fencing needed alongside Miller is 75 meters. If the total perimeter of the park is 200 meters, how many meters of fencing is needed alongside Jackson? Explain how you got your answer using numbers, words, or pictures. Answer

13 MD.7.b 11. A family is given 60 square feet of carpet. They must decide which room in their home to re-carpet. Which room shown above can they completely re-carpet with the 60 square feet of carpet provided? A. Room A B. Room B C. Room C D. Room D MD.7a 12. The figures below represent the dimensions of two rooms. Part A: Write the equation used to find the area of each room and solve. Room A Room B Part B: What is the difference between the areas of the two bedrooms above? Show your work below.

14 MD James is finding the area of two rectangles. The two rectangles have the same area but different perimeters. What could be the measurements of the other rectangle? A. 2 ft. by 5 ft. B. 2 ft. by 10 ft. C. 4 ft. by 10 ft. D. 8 ft. by 10 ft.

15 Mathematics Grade 3 Unit 4 Post Assessment ANSWER KEY 1. D) Square (1 point) 2. Jessica is correct (1 Point). Student explanations may vary, but students should understand squares are rectangles because rectangles must have 4 right angles, opposite sides parallel and opposite sides are congruent. A square has all of these attributes, therefore a square is a rectangle. A rectangle does not meet all the required attributes of a square; all sides congruent (1 Point). 3. D) 1/8 of the rectangle (1 point) 4. Part A (Partitioning: 1 point for each shape) Part B 1 3 (1 point) 5. Part A: Students should circle and label the rectangle, trapezoid, square, and parallelogram. (correct circling: 4 points; take away a point for each incorrect circled shape; 4 points for labeling the quadrilaterals correctly) Part B: Students could use any two of the following: closed figure, 4 sides, sides are straight, and 4 angles (2 points for naming the two attributes) inches(1 point) 4 7. C) (1 point) 8. Part A: A) The number of students who enjoy reading science fiction is half the number of students who like mystery books (1 point). Part B: Student answers may vary (1 point). 9. B) 8 years (1 point) meters (1 point). Students should show work using numbers, words, or pictures (1 point). 11. B) Room B (1 point) 12. Part A: Room A s total area: 7 x 5 = 35 sq. feet (Equation: 1 point; Answer: 1 point) Room B s total area: 7 x 4 = 28 sq. feet (Equation: 1 point; Answer: 1 point) Part B: The difference of the two rooms is = 7 sq. feet. (Difference: 1 point) 13. B) 2 ft. by 10ft. (1 point)

16 Grade 3 Math GSE Unit 4: Measurement and Data Standards Report Student Name: Date: Standards MGSE3.G.1 Understand that shapes in different categories may share attributes, and that the shared attributes can define a larger category. MGSE3.G.2 Partition shapes into parts with equal areas and express the parts as a unit fraction. MGSE3.MD.3 Use information presented in scaled graphs to solve problems. MGSE3.MD.4 Measure lengths using rulers marked with halves and fourths of an inch. Show the data by making a line plot. MGSE3.MD.7 Relate area to the operations of multiplication and addition. MGSE3.MD.8 Solve real world problems involving perimeters of polygons. Item Number Point Values 1 /1 2 /2 5 Part A /8 Part B /2 3 /1 4 8 Part A /2 Part B /1 Part A /1 Part B /1 9 /1 6 /1 7 /1 11 /1 12 Part A /4 Part B /1 10 /2 13 /1 Scoring : 30/31= 97% 29/31= 94% 28/31= 90% 27/31= 87% 26/31= 84% 25/31= 81% Comments : 24/31= 77% 23/31= 74% 22/31= 71% 21/31= 68% Total Score /31

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