Grade 3 Math Modeling and Data Analysis Questions

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Explore sample math questions for grade 3 students focused on modeling and data analysis. Activities include time management, bookshelf equations, student populations, and time differences in a race. Answer rubrics provided for each question. Enhance your mathematical skills with these engaging problem-solving scenarios.


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  1. Claim 4 Smarter Balanced Sample Items Grade 3 Modeling and Data Analysis Questions courtesy of the Smarter Balanced Assessment Consortium Item Specifications Version 3.0 Slideshow organized by SMc Curriculum www.ccssmathactivities.com

  2. #1 Eva gets home from school at 4:50 p.m. She eats dinner at 6:00 p.m. She spends the time between getting home and eating dinner on some of the activities in this table. Eva completes as many of these activities as she can before dinner. Click in the chart to show a set of activities that Eva could complete. Eva s Favorite Activities Activity Minutes Bike 20 Watch TV 30 Play games 30 Read 20 Play outside 40 Play with her dog 10 Color 10

  3. #1 Answer Rubric: (1 point) The student is able to identify four activities within the specified time period of 70 minutes or less Answer: Color, Play with her dog, Read, Bike; or Color, Play with her dog, Read, Watch TV; or Color, Play with her dog, Read, Play games; or Color, Play with her dog, Bike, Play games; or Color, Play with her dog, Bike, Watch TV

  4. #2 There are 3 bookcases in a classroom. Each bookcase has 2 shelves. Each shelf has the same number of books (n). There are 54 books in all. Which equation can be solved to find the total number of books (n) on each shelf? A. 3 2 + n = 54 B. 3 + 2 + n = 54 C. 3 + 2 n = 54 D. 3 2 n = 54

  5. #2 Answer Rubric: (1 point) The student selects the correct equation. Answer: D

  6. #3 There are 123 girls and 135 boys in the third grade at a school. Today there are a total of 9 third grade students absent. Which equation can be used to find the total number of third grade students (s) in school today? A. 123 + 135 = s B. 135 9 = s C. 123 + 135 + 9 = s D. 123 + 135 9 = s

  7. #3 Answer Rubric: (1 point) The student selects the correct equation. Answer: D

  8. #4 The table shows the start and end times for runners in a race. Racing Times Runner Start Time End Time Mike 12:03 p.m. 12:26 p.m. Ann 12:10 p.m. 12:17 p.m. John 12:13 p.m. 12:19 p.m. Patty 12:16 p.m. 12:25 p.m. What is the difference, in minutes, between Patty s start time and Mike s start time?

  9. #4 Answer Rubric: (1 point) The student enters the correct difference. Answer: 13

  10. #5 A large water jug holds 24 liters of water. Nan uses it for her animals. Nan fills her animals water dish 2 times each day. She puts the same amount of water in the dish every time. She uses all of the water in 3 days. Which equation can be solved to find the number of liters of water (?) she puts in the dish each time? A. 3 2 + ? = 24 B. 3 + 2 + ? = 24 C. 3 + 2 ? = 24 D. 3 2 ? = 24

  11. #5 Answer Rubric: (1 point) The student selects the correct equation. Answer: D

  12. #6 Tina has 4 packs of gum. Each pack has the same number of pieces of gum. Altogether there are 60 pieces of gum. Part A Make an equation to find the number of pieces of gum in each pack. Use n for the number of pieces in each pack. Part B How many pieces of gum are in each pack?

  13. #6 Answer Rubric: (2 points) One point for a correct answer to each part. For Part A, the student enters a correct equation. For Part B, the student enters the correct number. Answer: Part A: examples; ? = 60 4, 4 ? = 60, 4 = 60 ? Part B: 15

  14. #7 Part A Estimate the length of an unsharpened pencil in centimeters. Part B The length of the pencil is about 19 cm. How much longer or shorter is your estimate than the real length?

  15. #7 Answer Students must first enter an estimate for Part A before they can do Part B. Rubric: (1 point) The student finds the difference between their estimate, a, and the actual length of the pencil. Answer: 19 ?

  16. #8 Jenny went to the store to buy 15 bottles of water. The bags at the store can each hold 6 kilograms. The bottles of water each weigh 2 kilograms. Jenny bought 15 bottles of water. What is the fewest number of bags that Jenny needs to hold all 15 water bottles?

  17. #8 Answer Rubric: (1 point) The student enters the smallest number of bags needed. Answer: 5

  18. #9 Eva has 2 quarters, 4 dimes, and 6 nickels. She wants to buy a different gift for each of her 3 friends. Click on the gifts in the table to show 3 gifts that Eva could buy.

  19. #9 Answer Rubric: (1 point) The student is able to identify three items whose total cost is less than $1 and 20 . Answer: Examples: mood ring, pencil, and sticker.

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