DC CAS Anchor Paper Training Mathematics – Secondary

DC CAS Anchor Paper TrainingMathematics – Secondary 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

Protocol and Norms • We will review a series of anchor papers from each grade level. • We will review as a large-group, as well as independently and with elbow partners. • This is a conversation. Please feel comfortable to ask questions and be respectful of each other in order to hear those questions being asked and comments made. 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

Grade 7 - #6 6 John asked some of his friends how many first cousins they had. His results are shown below. What MUST a student know about measures of central tendency in order to successfully answer this problem? What does a student NOT have to know about measures of central tendency in order to successfully answer this problem? 6-A What is the rangeof John’s data? In the box in the answer booklet, show your work and write your answer on the line. 6-B What is the mean of John’s data? In the box in the answer booklet, show your work and write your answer on the line. 6-C The mean and the range measure different things about a data set. Explain what the mean measures and how this is different from what the range measures. One the lines in the answer booklet, write 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 7 – 6/LA Score: 2 Rationale: Part A: Correct work and answer Part B: Correct work and answer - The work is OK, even though there should be parentheses around the sum to make it totally correct. Part C: The explanation is incorrect. OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436

Grade 7 – 6/LB Score: 1 Rationale: Part A: Correct work and answer Part B: The median is found in place of the mean. Part C: The explanations successfully describe how to find the range only. OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436

Grade 7 – 6/LC Score: 3 Rationale: Part A: Correct work and answer Part B: Correct work and answer Part C: The explanations describe how to find the range and the mean. This is one acceptable way of explaining the difference. OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436

Grade 7 – 6/LD When there is a work space, show your work. Score: 0 Rationale: Part A: Incorrect Part B: Incorrect Part C: Incorrect OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436

Grade 7 - #29 29 Harold works at a pizza parlor for an hourly wage. For 3.5 hours, Harold earns $21. 21-A What is Harold’s hourly wage? Show your work in the box in the answer booklet and write your answer on the line. 21-B On the coordinate grid in the answer booklet, plot how much money Harold earns for 3.5 hours, 4 hours, and 9 hours. With two questions, we need to examine the rubric to determine where the points exist for each item. OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436

Grade 7 – 29/MA Where is the student misunderstanding in this answer? Score: 0 Rationale: Part A: Incorrect Part B: Incorrect OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436

Grade 7 – 29/MB Correct algorithm? Correct procedure? Score: 2 Rationale: Part A is complete and correct (2 points) Part B is incorrect (0 points) OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436

Grade 7 – 29/MC Score: 3 Rationale: Part A is complete and correct (2 points) Part B is complete and correct (1 point) Note: Points DO NOT have to be connected to receive credit. OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436

Grade 7 – 29/MD Precision of points graphed Score: 1 Rationale: Part A is correct but no work is shown (1 points) Part B is incomplete, the point for 3.5 hours is missing (0 points) OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436

Grade 7 - #59 59-A Derek plans to make 2 ½ loaves of nut bread. Each loaf uses 1 2/3 cups of flour. In total, how many cups of flour will Derek use? In the box in the answer booklet, show your work. Then write your answer on the line below the box. 59-B Each loaf of nut bread uses ¾ cup of walnuts. Derek has a total of 6 ¼ cups of walnuts. How many cups of walnuts will Derek have left after making 2 ½ loaves of nut bread? In the box in the answer booklet, show your work. Then write your answer on the line below the box. OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436

Grade 7 – 29/NA What did the student do “right”? Score: 3 Rationale: Part A: Correct work and answer Part B: Correct work and answer OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436

Grade 7 – 29/NB How have you corrected this error with students? Score: 1 Rationale: Part A: Correct setup with a wrong answer Part B: Incorrect work and incorrect answer OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436

Grade 7 – 29/NC What strategies have you used to correct this mistake? Score: 2 Rationale: Part A: Correct work and answer Part B: Incorrect work and incorrect answer OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436

Grade 7 – 29/ND How would you use this anchor paper in your classroom? Score: 0 Rationale: Part A: Incorrect work and incorrect answer Part B: Incorrect work and incorrect answer OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436

Capture Sheet – Reflection – Grade 7 • What have you learned from these anchor papers which addressed Data Analysis, Statistics, and Probability, Patterns, Relations, and Algebra, and Number Sense and Operations? • 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 8) OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436

Grade 8 - #6 6-A Ms. Martinez runs a store. She pays $0.75 for a can of soup. She sells the soup for 80% more than she pays for it. What is the selling price of the soup? In the box in the answer booklet, show your work and write your answer on the line. 6-B Ms. Martinez puts $2,400 in a savings account. She receives 4% interest on her money per year. How much money will there be in the savings account after one year? In the box in the answer booklet, show your work and write your answer on the line. OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436

Grade 8 – 6/PA Work Space Score: 3 Rationale: Part A: Correct $0.75 X 1.8 = $1.35 Part B: Correct $2,400 X 1.04 = $2,496 OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436

Grade 8 – 6/PE What have you found effective to help students complete the process of finding markup? Score: 1 Rationale: Part A: Partially Correct: An attempt at a correct process, attempted to find markup only and has a decimal error (didn’t convert the 80% to .80 but rather just 80) Part B: Partially Correct: Incomplete, found interest only OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436

Grade 8 – 6/PG Is this “careless” or a “conceptual misunderstanding”? Score: 2 Rationale: Part A: Correct Part B: Partially Correct: An incorrect interest is determined by using 40% instead of 4% OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436

Grade 8 – 6/PH Identify the mistakes… Score: 0 Rationale: Part A: Incorrect Part B: Incorrect OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436

Grade 8 - #29 29 The table below shows the number of students attending State College over a 4-year period. What information would you want your students to immediately recognize when examining a table of values? 29-A If the school continues to grow at the same rate, how many students will be attending State College in year 7? In the box in the answer booklet, show your work and write your answer on the line. 29-B On the lines in the answer booklet, write an equation representing the data in the table and define the variables you use in your equation. OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436

Grade 8 – 29/QA Score: 3 Skip Counting is always a viable strategy. Rationale: Part A: Correct Part B: Correct OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436

Grade 8 – 29/QB Score: 1 Rationale: Part A: Incorrect, but shows an attempt to add 75 to get the number of students Part B: Incorrect equation with variables defined; this simply shows understanding of adding 75 and would need an equation that more closely resembles S=75y+5, 150 to consider 2 points OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436

Grade 8 – 29/QE This is at least a good start to an explanation but lacks specificity. Score: 0 Rationale: Part A: Incorrect Part B: Incorrect OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436

Grade 8 – 29/QF Defining variables is a difficult task. How can we do it better? Score: 2 Rationale: Part A: Correct Part B: Correct equation with variable definitions mixed up OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436

Grade 8 - #59 59-A Look at the figure below. In this figure, parallel lines cut by a transversal are shown. On the line in the answer booklet, list all of the angles that have the same measure as Angle A. 59-B Look at the figure below. What is the measure of angle x? In the box in the answer booklet, show your work and write your answer on the line. OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436

Grade 8 – 59/RA Score: 3 Rationale: Part A: All 3 angles correct Part B: Correct OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436

Grade 8 – 59/RC Score: 1 Rationale: Part A: 1 Correct Angle, 2 Incorrect Angles Part B: Incorrect OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436

Grade 8 – 59/RD Score: 0 Rationale: Part A: All angles listed; cannot distinguish between correct and incorrect angles Part B: Incorrect OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436

Grade 8 – 59/RI Score: 2 Rationale: Part A: 1 Correct Angle Part B: Correct OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436

Capture Sheet – Reflection – Grade 8 • What have you learned from these anchor papers which addressed Number Sense and Operations, Patterns, Relations, and Algebra, and Geometry? • 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 10) OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436

Grade 10 - #6 6 Use the graph and formulas below to answer the following questions. 6-A What is the midpoint of ST? Show your work in the box in the answer booklet and write your answer on the line. 6-B What is the distance between points S and T? Round your answer to the nearest tenth. Show your work in the box in the answer booklet and write your answer on the line. 6-C What is the slope of ST? 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

Grade 10 – 6/SA Score: 3 Rationale: Part A: Correct Part B: Correct Part C: Correct OSSE | Office of Assessment & Accountability | 810 First Street NE | Washington, D.C. 20002-4227 | 202-727-6436

DC CAS Anchor Paper Training Mathematics – Secondary