Los Angeles Unified School District Office of Curriculum, Instruction, and School Support INTERIM ASSESSMENT Common Core Math 6 Fall Semester 2014-2015 Teacher Materials Los Angeles Unified School District Office of Curriculum, Instruction and School Support Common Core Math 6 Fall Interim Assessment Blue Print and Rationale Question # Standard Claim DOK 1 6.NS.1 1 1 2 6.RP.3b 1 2 MP Type of question 1, 2 SCR 10: (1 point) Student writes the correct number of cakes. SCR 450: (1 point) Student writes the correct number of words. 3 6.NS.1, 6.EE.6 1 1 1, 2 MC 4 6.RP.3a 1 1 N/A SCR Rubric and Rationale A. Incorrect operation; does not correctly interpret the quotient of fractions B. Correct C. Incorrect operation and equation; does not correctly interpret the quotient of fractions or the placement of the variable D. Incorrect operation and equation; does not correctly interpret the quotient of fractions or the placement of the variable Student enters 15. (1 point) Student writes the correct value. Responses to this item will receive 0-2 points, based on the following: 2 points: The student demonstrates a thorough understanding of using ratio and rate reasoning to solve real-world problems. The student gives the unit rate in Part A of $10.95 and the cost of $76.65 for 7 video games in Part B. 5 6.RP.3 1 2 1, 2 SCR 1 point: The student demonstrates a partial understanding of using ratio and rate reasoning to solve real-world problems. The student gives the correct unit rate in Part A but answers Part B incorrectly OR the student answers Part A incorrectly but the answer in Part B corresponds to the incorrect answer in Part A. 0 points: The student demonstrates inconsistent or no understanding of using ratio and rate reasoning to solve real-world problems. 2 LAUSD Secondary Mathematics August 27, 2014 Los Angeles Unified School District Office of Curriculum, Instruction and School Support Common Core Math 6 Fall Interim Assessment Blue Print and Rationale Question # Standard Claim DOK MP Type of question Rubric and Rationale 6 6.RP.3 1 2 1,2 SR A. Correct: 20 and 32 are both multiple of 4 and they are equivalent. B. Reversed the ratio (green to blue) C. Saw the 5 and 8 and didn’t pay attention to the place value. D. Correct 7 6.RP.3d 1 1 N/A MC B: (1 point) Student selects the correct value. 8 6.RP. 3c 1 2 N/A SCR 200 (1 point) 9 5.NF.4 3 3 SCR Part C: (2 points) for getting all Parts correct – Parts A, B, and C (1 point) for getting any two Parts correct 10 6.NS.2 1 1 N/A SCR 689. (1 point) Student enters the correct quotient. 11 6.EE.2c 1 1 6 SCR 45: (1 point) Student enters the correct temperature 12 6.RP.3, 6.NS.3 2 2 1, 2 CR (2 points) 3 LAUSD Secondary Mathematics August 27, 2014 Los Angeles Unified School District Office of Curriculum, Instruction and School Support Common Core Math 6 Fall Interim Assessment Blue Print and Rationale Question # Standard Claim DOK MP Type of question Rubric and Rationale 2:5 7:2 is the ratio of the total number of loaves of bread to the number of loaves of rye bread Each part of this response is scored separately and earns 1 point for each correct response. Sample Top-Score Response: Part A 13 pizzas Part B $149.50 Responses to this item will receive 0-2 points, based on the following: 13 6.RP.1 1 2 1, 6 CR 2 points: The student demonstrates a thorough understanding of how to apply mathematics to solve problems involving ratio and rate reasoning and computation with multi-digit decimals. The student provides an estimate of 1215 pizzas and correctly computes the cost for that number of pizzas. 1 point: The student demonstrates a partial understanding of how to apply mathematics to solve problems involving ratio and rate reasoning and computation with multi-digit decimals. The student provides an low or high estimate of 9-11 or 16-18 pizzas, but correctly computes the cost for that number of pizzas OR the student provides an estimate of 12-15 pizzas but does not correctly compute the cost for that number of pizzas. 0 points: The student shows inconsistent or no understanding of how to apply mathematics to solve problems involving ratio and rate reasoning and computation with multi-digit decimals. 4 LAUSD Secondary Mathematics August 27, 2014 Los Angeles Unified School District Office of Curriculum, Instruction and School Support Common Core Math 6 Fall Interim Assessment Blue Print and Rationale Question # Standard 14 6.NS.B.3 Claim DOK 2 2 MP Type of question 2, 4 CR Rubric and Rationale (2 points) Student correctly shades the model and answers Part B correctly. (1 point) Student correctly answers Part A OR Part B, not both. Sample Top-Score Response: The volume of each box is 15.625 cubic feet. 54 boxes completely fill the cargo hold of the truck. The length of the cargo hold is 15 feet, so 15 divided by 2.50 equals 6. The width and height of the cargo hold are each 7.5 feet, so 7.5 divided by 2.5 equals 3. So the 6 boxes times 3 boxes times 3 boxes equals 54 total boxes that fit in the cargo hold. 15 5 6.G.2, 6.NS.3 3 2 LAUSD Secondary Mathematics 1, 2, 4 CR Responses to this item will receive 0-3 points, based on the following: 3 points: The student shows thorough understanding of how to determine the volume of a cube and the volume of a rectangular prism built from unit cubes, and shows thorough understanding of how to support reasoning. The student correctly computes the volume of the box and the number of boxes needed to fill the cargo hold, and correctly explains how the number of cubes needed to fill the cargo hold was determined. August 27, 2014 Los Angeles Unified School District Office of Curriculum, Instruction and School Support Common Core Math 6 Fall Interim Assessment Blue Print and Rationale Question # Standard Claim DOK MP Type of question Rubric and Rationale 2 points: The student shows good understanding of how to determine the volume of a cube, a rectangular prism built from unit cubes, with supportive reasoning. The student correctly determines the number of boxes needed to fill the cargo hold based on the dimensions given for the box and offers a valid explanation of the process used to determine the number of cubes needed to fill the cargo hold, but may have incorrectly determined the volume of the cube. OR The student correctly determines the volume of a cube, however makes an error in determining the number of boxes needed to fill the cargo hold, but offers a valid explanation of the process used to determine the number of cubes needed to fill the cargo hold. OR The student determines the correct volume of a cube, and determines the number needed to fill the cargo hold, but offers incomplete or no supporting work. 1 point: The student shows partial understanding of how to determine the volume of a cube, a rectangular prism built from unit cubes, with supportive reasoning. The student correctly determines the volume of the cube, but is unable to determine a process or correct answer for the number of cubes needed to fill the cargo hold. OR The student incorrectly determines the volume of a cube, but uses that incorrect answer and correctly applies it to determining the number of cubes needed to fill the cargo hold (without supporting work). 0 points: The student shows little or no understanding of how to determine the volume of a cube, shows little or no understanding of how to determine the volume of a rectangular prism built from unit cubes, and shows little or no understanding of how to support reasoning. The student incorrectly determines the volume of the cube, incorrectly determines the number of boxes needed to fill the cargo hold based on the dimensions given for the box, and does not offer a valid explanation of the process used to determine the number of cubes needed to fill the cargo hold. 16 6 6.RP.3 2 LAUSD Secondary Mathematics N/A CR 3 points: Students solve the problem correctly and explain the solution. August 27, 2014 Los Angeles Unified School District Office of Curriculum, Instruction and School Support Common Core Math 6 Fall Interim Assessment Blue Print and Rationale Question # Standard Claim DOK MP Type of question Rubric and Rationale 2 points: Students solve the problem correctly but did not explain their solutions. 1 point: Students did not get the correct answer but tried to explain the solution sequence. 0 point: Students did not solve the problem or attempted incorrectly to solve the problem. The explanation was not correct. Exemplar 1: A tape diagram (known in some circles as a strip or bar diagram) shows the solution in a very succinct way: Exemplar 2: We know that 20% of the original price is $5. Furthermore, 20% of the original price is the same thing as 20100=15 of the original price. We know that 15 of a quantity is 5, so we can solve this problem by dividing 5 by 15 (this is a Group Size Unknown problem). 5÷15=25 So the original price was $25. CR: Constructed Response; SR: Selected Response; SCR: Short Constructed Response; and MC: Multiple Choice DOK: Depth of Knowledge; MP: Mathematical Practice 7 LAUSD Secondary Mathematics August 27, 2014 1. A recipe requires cup of nuts for 1 cake. Write the maximum number of cakes that can be made using 7 cups of nuts. _________________________________ 2. Carl types 180 words in 2 minutes. Write the number of words Carl types in 5 minutes at this rate. 5. Part A: Ben’s Game World is having a sale on video games. The store is offering a sale pack of 4 video games for $43.80. What is the unit price of a video game in the sales pack? ________________________________ 3. Hisaki is making sugar cookies for a $____________________ school bake sale. He has 3 cups of sugar. The recipe calls for cup of sugar for one batch of cookies. Which equation can be used to find b, the total number of batches of sugar cookies he can make? Part B: Roberto’s Electronics is also having a sale on video games. The unit price of any video game at Roberto’s Electronics is the same as the unit price of a video game in the sale pack at Ben’s Game World. How much would it cost a customer for 7 video games at Roberto’s Electronics? A. 3 x = b B. 3 ÷ = b $______________________ C. 3 + b = D. 3 - b = 4. This table contains x and y values in equivalent ratios. Fill in the missing value in the table. 6. In the art class, Marvin painted tiles to use for a project. For every 5 tiles he painted blue, he painted 8 tiles green. Identify the equivalent ratio(s) of blue tiles to green tiles. Select all that apply. Los Angeles Unified School District Office of Curriculum, Instruction and School Support Common Core Math 6 Interim Assessment, Fall A. B. C. D. 20:32 40:25 50:800 60:96 To convince Sarah that this statement is only sometimes true: Part A: Write one number into each box so the product, n, is less than . 7. Select the value that completes this expression for converting 10 yards to inches. Product n is less than . x =n Part B. Write one number into each box so the product, n, is not less than . Product n is not less than 2/3. x =n Part C: The equation shown has an unknown number. ___ x 8. Write the unknown value that makes this statement true: 30% of _______________ is 60. Write a fraction that makes the equation true. ____________________________ 9. Look at the equation. x 10. Divide 16,536 ÷24 =n Write the quotient. Sarah claims that for any fraction multiplied by , n will be less than . _________________________ 9 LAUSD Secondary Mathematics August 27, 2014 Los Angeles Unified School District Office of Curriculum, Instruction and School Support Common Core Math 6 Interim Assessment, Fall temperature in degrees Celsius 0C equals to 113 degrees Farenheit (F). _____________________________ 11. The formula is used to convert the temperature in degrees Farenheit (F) to the temperature in degrees Celsius ©. Write the 12. A restaurant worker used 5 loaves of wheat bread and 2 loaves of rye bread to make sandwiches for an event. Part A: Write a ratio that compares the number of loaves of rye bread to the number of loaves of wheat bread. Part B: Describe what the ratio of 7:2 means in terms of the loaves of bread used for the event. 13. Alia wants to buy pizza for a party. • 40 to 50 people will be coming to the party. • A large pizza from Paolo’s Pizza Place serves 3 to 4 people. 10 LAUSD Secondary Mathematics August 27, 2014 Los Angeles Unified School District Office of Curriculum, Instruction and School Support Common Core Math 6 Interim Assessment, Fall • Each large pizza from Paolo’s Pizza Place costs $11.50. Part A Alia wants to buy enough pizza so that people will not be hungry, and wants to have the least amount of pizza left over. How many large pizzas should Alia buy? _______________pizzas Part B If Alia buys the number of large pizzas that you determined in Part A, how much money will she spend on pizza? $___________ 14. Carlos needs 1.7 meters of wire for one project and 0.8 meter of wire for another project. Part A. Shade the model to represent the total amount of wire Carlos needs. Each full row represents 1.0 meter. Each full row = 1.0 meter. Part B. Carlos has 2.4 meters of wire. Does Carlos have enough wire? If he does, answer how much wire he will have left over. If he does not answer how much more he needs. 11 LAUSD Secondary Mathematics August 27, 2014 Los Angeles Unified School District Office of Curriculum, Instruction and School Support Common Core Math 6 Interim Assessment, Fall Shade the value into one of the boxes. Each full row = 1.0 meter. He will have ____ meters of wire left over. Or He needs ___ more meters of wire. 15. Cube-shaped boxes will be loaded into the cargo hold of a truck. The cargo hold of the truck is in the shape of a rectangular prism. The edges of each box measure 2.50 feet and the dimensions of the cargo hold are 7.50 feet by 15.00 feet by 7.50 feet, as shown below. 12 LAUSD Secondary Mathematics August 27, 2014 Los Angeles Unified School District Office of Curriculum, Instruction and School Support Common Core Math 6 Interim Assessment, Fall What is the volume, in cubic feet, of each box? Determine the number of boxes that will completely fill the cargo hold of the truck. Use words and/or numbers to show how you determined your answer. 16. Selina bought a shirt on sale that was 20% less than the original price. The original price was $5 more than the sale price. What was the original price? Explain or show work. 13 LAUSD Secondary Mathematics August 27, 2014
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