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Grade 3-5 SBAC Samples Claim 4 Sample Items and Solutions “Modeling and Data Analysis” Gina is making cookies. The last three steps used to make the cookies are shown. TA-G5 Step 5: Roll the cookies into ½-inch balls. Step 6: Place the cookies on a baking tray 2 inches apart. Step 7: Bake for 12 minutes. This recipe makes 18 to 24 cookies. Gina wants to give cookies to 9 people. She wants to give each person 3 cookies. She does not want extra cookies. Which action will help Gina get closest to the exact number of cookies she needs? A. Place the cookies 3 inches apart. B. Bake the cookies for only 10 minutes. C. Roll the cookies slightly bigger than ½ inch. D. Roll the cookies slightly smaller than ½ inch. Q1 Rubric: (1 point) The student correctly determines which action will help Gina get closest to the exact number of cookies (e.g., D). Q1 Answer Some students are painting this backdrop for the school play. The backdrop is taped off into 12 equal sections for the students to paint. • Mark paints 2 times as much as Jill. • Sam paints 3 times as much as Lou. • Lou paints 1 section less than Mark. 1 • Jill paints of the backdrop. TA-G4 12 Enter the fraction of the backdrop that still needs to be painted. Q2 Rubric: (1 point) The student is able to determine the 5 fraction that still needs painted (e.g., ). 12 Q2 Answer TA-G5 Mary, Sally, and Erin competed in a three-part race. A “finish time” for each person is the total amount of time to finish all three events. • Mary’s swim time was 0.10 hour faster than Erin’s run time. • Sally’s finish time was 0.12 hour faster than Mary’s finish time. • Erin finished the race in 2.72 hours. Drag numbers into the boxes to complete the missing times for each girl. Q3 Rubric: (3 points) The student is able to complete all parts of the table correctly (e.g., Mary’s swim time: 0.80; Sally’s bike time: 1.64; Erin’s run time: 0.90). Each part is independently scored as 1 point. Q3 Answer TA-G3 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 Q4 Rubric: (1 point) The student is able to identify four activities within the specified time period of 70 minutes or less (e.g., 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). Q4 Answer Tyra wants to enclose a section of her lawn for her dog to be able to have an outdoor play area. She knows that if she uses the side of her house as one side of the play area, her dog will have a larger outdoor play area. Tyra’s plan for the play area includes the following: • It will be in the shape of a rectangle. • The side of the house will be used as one side of • the rectangular area. • She will use exactly 24 feet of fence material to • enclose the play area. • The length and width of the enclosure will be whole units. • She wants the play area to be greater than 60 square feet. Use the Connect Line tool to create a rectangular play area that meets Tyra’s plan. TB-G4 Q5 Rubric: (2 points) The student is able to construct a 4 by 16 or 8 by 8 rectangle using the side of the house. (1 point) Partial credit is possible for constructing a rectangle that uses exactly 24 feet of fencing, but doesn’t reflect using the side of the house as one of the sides, nor the area being greater than 60 square feet (e.g., 1 by 11, 2 by 10, 3 by 9, 4 by 8, 5 by 7, or 6 by 6). Q5 Answer TC-G5 Oliver’s family planted a tree on his 1st birthday. Each year the tree grows about the same amount. Oliver’s family has measured the height of the tree every year on his birthday, except they forgot to record its height on his 5th birthday. Oliver’s Birthday 1st 2nd Height of Tree (ft) 5 12 1 1 2 3rd 3 1 4 4th 5th 2 3 ? 4 6th 7 4 12 Which measurement is the most reasonable estimate for the height of the tree on Oliver’s 5th birthday? 1 A. 5 ft 12 3 B. 5 ft 8 1 C. 6 ft 6 11 D. 6 ft 12 Q6 Rubric: (1 point) The student selects the most reasonable height (e.g., C). Q6 Answer TD-G4 A group of 137 students and 15 adults go to a museum. The students and adults have to take the elevator up to the 6th floor. • The elevator can hold a maximum of 12 people. • At least one adult must ride with each group of students on the elevator. Part A: What is the fewest number of elevator trips it will take to get all of the students and adults to the 6th floor? Enter your response in the first response box. Part B: What is the fewest number of people on the final elevator trip? Enter your response in the second response box. Q7 Rubric: (2 points) The student correctly enters the minimum number of trips and the total number of people on the last elevator (e.g., 13, 8). (1 point) Partial credit is possible for correctly entering the minimum number of trips or the total number of people on the last elevator. Q7 Answer TD-G5 The trailer of a truck is packed with boxes of paper. The boxes are packed 5 boxes deep by 4 boxes high by 4 boxes across, as shown in the picture. When the driver is in the truck and the trailer is empty, the mass of the truck is 2948.35 kilograms. • • • • The mass of 1 box of paper is 22.5 kilograms. The driver delivers some of the boxes of paper at his first stop. The truck has to drive over a bridge on the way to the next stop. Trucks with a mass greater than 4700 kilograms are not allowed to drive over the bridge. Enter the minimum number of boxes of paper the driver must deliver at the first stop to be allowed to drive over the bridge. Q8 Rubric: (2 points) The student enters the correct whole number of boxes that must be delivered (e.g., 3). (1 point) Partial credit is possible for correctly determining the exact number of boxes and entering any value from 2.1-2.148 or for mistakenly rounding down to 2 instead of up to 3 boxes as needed. Q8 Answer TD-G5 Gabi measures the amount of water, in liters, in 5 identical jars. Gabi combines all of the water and then divides it equally into the 5 jars. How much water, in liters, does she put in each jar? Enter your answer in the response box. Q9 Rubric: (1 point) (1 point) The student correctly uses the data 9 from a line plot to find a quotient (e.g., ). 10 Q9 Answer TD-G4 This line plot shows the amounts of rain, in inches, that fell each week for 8 weeks. Decide if each statement is True or False. Click True or False for each statement. Statement True False The most rain that fell in one week is 4 inches. 1 The lease rain that fell in one week is 24 inches. 1 Exactly 4 weeks had more than 22 inches of rain. Q10 Rubric: (1 point) The student correctly identifies all three statements as true or false (e.g., F, F, T). Q10 Answer 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. TE-G3 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 Q11 Rubric: (1 point) The student selects the correct equation (e.g., D). Q11 Answer Liam uses string to form a rectangle with length 100 feet and width 50 feet to estimate the area of a small pond. Which is the best estimation for the area of the pond? The area of the pond is TE-G5 A. less than 2500 square feet. B. greater than 7500 square feet. C. is between 2500 square feet and 5000 square feet. D. is between 5000 square feet and 7500 square feet. Q12 Rubric: (1 point) The student correctly describes the area (e.g., C). Q12 Answer TE-G3 Joe is building a play area for his dog. The play area is made up of grass and dirt. • The grass area is rectangular. It has a width of 2 meters and a length of 3 meters. • The dirt area is rectangular. It has a width of 2 meters and a length of 5 meters. Complete the equation that can be used to find the total play area including grass and dirt. Drag numbers from the palette to complete the equation. ( __ × __ ) + ( __ × __ ) = _____ square meters Q13 Rubric: (1 point) The student completes the equation (2 × 3) + (2 × 5) = 16 square meters. Alternate ordering of numbers is acceptable, reflecting correct use of the Commutative Property, including (3 × 2) + (5 × 2) = 16 and (2 × 5) + (2 × 3) = 16. Q13 Answer TE-G4 Which situation is represented by the equation 4 × 3 = ? A. A kitten weighs 4 pounds. A puppy weighs 3 times as much as the kitten. How much does the puppy weigh? B. A kitten weighs 4 pounds. A puppy weighs 3 pounds more than the kitten. How much do they weigh altogether? C. A kitten weighs 4 pounds. A puppy weighs 3 pounds more than the kitten. How much does the puppy weigh? D. A kitten weighs 4 pounds. A puppy weighs 3 times as much as the kitten. How much do they weigh altogether? Q14 Rubric: (1 point) The student correctly identifies the context that represents the multiplication equation as a multiplicative comparison (e.g., A). Q14 Answer TE-G3 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 Q15 Rubric: (1 point) The student selects the correct equation (e.g., D). Q15 Answer TE-G5 Adam is making muffins and cookies. He uses of flour to make muffins and 1 2 4 1 3 2 cups cups of flour to make cookies. In the first box, enter an equation that can be used to find the total number of cups of flour, f, Adam uses. In the second box, enter the total number of cups of flour that Adam uses. Q16 Rubric: (2 points) The student correctly enters an equation to 1 1 solve the problem (e.g., 3 + 2 = ) and correctly 2 enters a solution (e.g., 3 5 ). 4 4 (1 point) Partial credit is available for correctly entering an equation to solve the problem or correctly entering the solution, but not both. Q16 Answer TF-G3 Juan draws a polygon with a perimeter of 36 units. He covers the area of the polygon with tiles that are each 1 square unit. Part A: Enter an equation that could be used to find the value of n in the first response box. Part B: Enter the number of tiles Juan uses to cover the polygon in the second response box. Q17 Rubric: (2 points) The student enters a valid equation and enters the area of the polygon (5 + 2 + 4 + 7 + n + n = 36 or 7 + 2 = n or 5 + 4 = n; 73). (1 point) Partial credit is possible for entering a valid equation or entering the area, but not both. Q17 Answer TF-G3 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? Q18 Rubric: (1 point) The student enters the correct difference (e.g., 13). Q18 Answer