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DC CAS Anchor Paper Training Mathematics (Elementary). OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436. Session Outcomes. By the end of the session participants will:
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DC CAS Anchor Paper TrainingMathematics (Elementary) OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436
Session Outcomes • By the end of the session participants will: • Examine various grade level anchor papers and norm their scoring practices aligned to the rubric; • Discuss ways these anchor papers can be effectively implemented into their instruction. OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436
50 1 2 3 4 5 6 Two players take turns adding the digits 1, 2, 3, 4, 5, and 6. First person to get to 50 wins. OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436
1 2 3 4 5 6 7 50 , 43, 36, 29, 22, 15, 8, 1 OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436
Grade 3 - #18 18 Jenna has these math cards. 18-A Circle the card Jenna needs to finish her math test. 18-B What are two math facts Jenna can make with the numbers 3, 15, and 18? OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436
OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436
Grade 3-18/AB There are two lines to cue that there are two responses. Notice that twois underlined. Score: 2 Rationale: Part A is incorrect Part B is correct (two correct math facts) OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436
Grade 3-18/AC Score: 0 Rationale: Part A is incorrect Part B is incorrect (response just copies prompt) OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436
Grade 3-18/AD One point is earned because card is circled. Score: 1 Rationale: Part A is correct (correct card is circled) Part B is incorrect (response just copies prompt) OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436
Grade 3-18/AF Score: 3 Rationale: Part A is correct (correct card is circled) Part B is correct (two correct math facts) OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436
Grade 3 - #59 59 The tally chart below shows the number of bananas some students ate last week. Complete the bar graph below so that it shows the same information as the tally chart. Be sure to write the graph labels and a title. Do not shade in the bars. OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436
OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436
Grade 3-59/BB Score: 3 Rationale: Response is entirely correct OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436
Grade 3-59/BC Where could the student get one point? Score: 0 Rationale: Response is entirely incorrect OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436
Grade 3-59/BD What is Tanner’s mistake? Score: 1 Rationale: Response receives a point for correct title OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436
Grade 3-59/BE Precision is the difference between a 2-point and a 3-point response. Score: 2 Rationale: Response is entirely correct except for the graphing of the number of bananas that Marge and Tanner ate. OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436
Capture Sheet - Reflection • What have you learned from these anchor papers which addressed Number Sense and Operations and Data Analysis, Statistics, and Probability? • What surprised you about the student responses? • What key ideas will you implement when using these anchor papers in your classroom? OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436
DC CAS Anchor Paper TrainingMathematics (Grade 4) OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436
Grade 4 - #9 9 Jeremiah made the Input-Output table below. 9-A On the line in the answer booklet, write the rule used in the Input- Output table to find the Output number. 9-B On the line in the answer booklet, write the Output number if the Input number is 12. 9-C Jeremiah makes a new Input-Output table. The rule to find the Output number in the new table is “Divide by 3.” On the line in the answer booklet, write what the Output number would be in the new Input- Output table if the Input number was 12. OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436
OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436
Grade 4 – 9/CA Score: 3 Rationale: Response is entirely correct OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436
Grade 4 – 9/CB Is one question easier than the other? Score: 1 Rationale: Student receives a point for Part C OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436
Grade 4 – 9/CC What questions would you ask to scaffold the student to get the correct answer? Score: 0 Rationale: Response is entirely incorrect OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436
Grade 4 – 9/CD Use of symbol to describe “divide” is acceptable. Score: 2 Rationale: Student receives a point for Part A. Student receives a point for Part B. OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436
Grade 4 - #66 66 Emma has a marble collection. 66-A The drawing below shows Emma’s marble collection. In the answer booklet, fill in the table to show what types of marbles Emma has, and how many marbles she has of each type. 66-B Kaye also has a marble collection. Kaye made the graph below to show the types of marbles in her marble collection. In the box in the answer booklet, draw Kaye’s marble collection. Make sure to show the right number of each type of marble. OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436
OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436
Grade 4-66/DA Score: 1 Rationale: Part A is partially correct (dots should have five marks instead of four) Part B is partially correct (there is an extra striped marble) OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436
Grade 4-66/DB How “close” is this response? Score: 0 Rationale: Part A is incorrect Part B is incorrect OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436
Grade 4-66/DD What exemplary behaviors did this student demonstrate to earn a “3” on this prompt? Score: 3 Rationale: Part A is completely correct Part B is completely correct OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436
Grade 4-66/DE Score: 2 Rationale: Part A is completely correct Part B is partially correct (one white marble is not illustrated) OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436
Capture Sheet - Reflection • What have you learned from these anchor papers which address Patterns, Relations, and Algebra and Data Analysis, Statistics, and Probability? • What surprised you about the student responses? • What key ideas will you implement when using these anchor papers in your classroom? OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436
DC CAS Anchor Paper TrainingMathematics (Grade 5) OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436
Grade 5 - #19 19 Look at the grid shown below. Three Questions = 3 points 19-A What percent of this grid is shaded? Write your answer on the line in the answer booklet. 19-B What fraction of the grid is not shaded? Write your answer on the line in the answer booklet. 19-C Kim shades more small squares on the grid. After she has done this, 4/5 of the grid is shaded. How many more small squares did Kim shade? In the box in the answer booklet, show your work. Then write your answer on the line. OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436
OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436
Grade 5 – 19/EA Work Space Score: 3 Rationale: Part A is correct for 1 point Part B is correct for 1 point Part C is correct for 1 point (work must be shown) OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436
Grade 5 – 19/EB This is a true statement. There are 20 squares shown. However, the amount does not represent the amount needed to make the grid have 80% of the boxes shaded. Score: 2 Rationale: Part A is correct for 1 point Part B is correct for 1 point Part C is incorrect OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436
Grade 5 – 19/EC What is a possible explanation for these incorrect student responses? What are some possible ways to use this response as a teaching tool? Score: 1 Rationale: Part A is correct for 1 point Part B is incorrect Part C is incorrect OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436
Grade 5 – 19/ED Score: 0 Rationale: Part A is incorrect Part B is incorrect Part C is incorrect OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436
Grade 5 - #56 56 The graph below shows the distance traveled by a car over time. Three Questions = 3 points 56-A How far did the car travel in 3 seconds? Write your answer on the line in the answer booklet. 56-B What is the rate in meters per second, at which the car travels? Write your answer on the line in the answer booklet? 56-C Use the rate to determine the distance the car will travel in 10 seconds. Show your work in the box in the answer booklet and write your answer on the line. OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436
OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436
Grade 5 – 56/FA Where is the error? Skip Counting (Repeated Addition) is an acceptable strategy as long as the computation is correct. Score: 2 Rationale: Student receives a point for Part A and a point for Part B OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436
Grade 5 – 56/FB Answer is circled. Score: 3 Rationale: Response is entirely correct OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436
Grade 5 – 56/FC Score: 0 Rationale: Response is entirely incorrect OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436
Grade 5 – 56/FD What is correct about the student’s thinking in Part C? Score: 1 Rationale: Student receives a point for Part A OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436
Capture Sheet - Reflection • What have you learned from these anchor papers about Number Sense and Operations and Patterns, Relations, and Algebra? • What surprised you about the student responses? • What key ideas will you implement when using these anchor papers in your classroom? OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436
DC CAS Anchor Paper TrainingMathematics (Grade 6) OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436
Grade 6 - #11 11-A On the line in the answer booklet, list all the factors of 6. 11-B On the line in the answer booklet, list all the factors of 12. 11-C What is the greatest common factor of 6 and 12? Write your answer on the lines in the answer booklet and explain how you found your answer. OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436
OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436
Grade 6 – 11/HA List ALL Score: 1 Rationale: Part A is incorrect, left out 1 (0 points) Part B is incorrect, left out 1 (0 points) Part C is correct (1 point) OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436