PARCC and SBAC Sample Items and Task Prototypes (Grades 3-6)

     Basic Characteristics

• Solve problems: content and practice
•  Reasoning mathematically
•  Model real-world problems
•  Have fluency with mathematics

•  Type I Tasks (machine-scorable) - assess concepts, skills and procedures 
  (include a balance of conceptual understanding, fluency and application; involve any or all MPs)

• Type II Tasks (hand-scored using rubrics) - assess expressing mathematical reasoning
  (call for written arguments / justifications, critique of reasoning,
  or precision in math statements [MP 3, 6 and others])

• Type III Tasks (??) - assess modeling/applications (call for modeling/application in a real-world context or scenario
  (MP 4) and can also involve other MPs)

Claims:

• Claim #1: Concepts & Procedures

• Claim #2: Problem Solving  

• Claim #3: Communicating Reasoning 

• Claim #2: Modeling & Data Analysis 

Item examples include:

• Technology enhanced

• Performance tasks 

• Connections across grades 

• Difficulty progressions 

Grade Level

     SBAC Mathematics Sample Items

3 

• Type I Tasks

• Fluency (3.OA.7; MP.7)

• Fractions on a number line (3.NF.2; MP.7, MP.5) 

• The Dana Center's prototype items

• Flower gardens (3.NF.1, 3.NF.2, 3.NF.3)

• Fractions on the number line (3.NF.2, 3.NF.3, 3.G.2;
  MP.3, MP.6, MP.7)

• Mariana’s fractions (3.NF.2, 3.NF.3, 3.G.2;
  MP.3, MP.6, MP.7)

• School mural (3.OA.3, 3.OA.5, 3.MD.7; MP.4, MP.7)

• Vans for a Field Trip - NEW (3.OA.6; MP.4)
  

   

• Type II Tasks

• The Field (Part A: 3.NF.1; MP 2, MP 7; Part B: 3.NF.3b;
  MP.2, MP.5, MP.3)

• The Dana Center's prototype items (above)

• Type III Tasks

• The Dana Center's prototype items (above) 

• Claim #1: Concepts & Procedures

• Fractions 1 (3.NF.3a; connections across grades)

• Claim #3: Communicating Reasoning

• The contest (3.OA.2, 4.OA.3, 4.OA.4; technology enhanced)

4

• Type I Tasks

• Subtraction Fluency - NEW (4.NBT.4-2)

• The Dana Center's prototype items

• Buses, vans, and cars (4.NBT.5, 4.OA.3; MP.1, MP.2)

• Deer in the park (4.OA.3, 4.NBT.5, 3.MD.7; 3.MD.8; MP.2, MP.4)

• Numbers of stadium seats (4.NBT.2, 4.NBT.3;
  MP.3, MP.6)

• Ordering juice drinks (4.NBT.5, 4.OA.3; MP.1, MP.2)

• Type II Tasks

• Fraction Model - NEW (4.NF.C.4-7; MP.3, MP.5, MP.6, MP.7)

• The Dana Center's prototype items (above)

• Type III Tasks

• The Dana Center's prototype items (above)

• Claim #2: Problem Solving 

• Fractions 2a (4.NF.4.2c; technology enhanced)
• Fractions 2b (4.NF.3; connections across grades)
• Rectangle 1 (4.MD.3; difficulty progressions) 
• Rectangle 2 (4.MD.3; difficulty progressions) 

• Claim #3: Communicating Reasoning

• The contest (3.OA.2, 4.OA.3, 4.OA.4; technology enhanced) 

• Performance Task: Planting Tulips (Claims #1-3; 4.OA, 4.NF, 4.MD) 

5

• Type I Tasks
• The Area of a Cut Board - NEW (5.NF.4.b.1; MP.4)
• Type II Tasks
• Type III Tasks
• Mr. Edmund's Pencil Box - NEW (5.NF.2, 5.NF.4a; MP.1, MP.2, MP.5)

• Claim #1: Concepts and Procedures

• Multiplication and division (5.NBT.5, 5.NBT.6; w/connections across grades)

• Fractions 3 (5.NF.7; technology enhanced)

• Claim #3: Communicating Reasoning

• Swimmers (5.NBT.3)

6

• Type I Tasks

• Slider Ruler (1st cluster in 6.RP; MP.8)

• Kelvin's 100-Meter Dash - NEW (6.EE.7; MP.4)

• Dana Center's prototype items

• Cake weighing (6.NS.6, 6.NS.7)

• Gasoline consumption (6.RP.3, 6.EE.9; MP.4)

• Inches and centimeters (6.RP.1, 6.EE.9; MP.2)

• Type II Tasks

• N.A.

• Type III Tasks

• Dana Center's prototype items (above)

• Claim #1: Concepts and Procedures

• Expressions and equations 1 (6.EE.4; w/connections across grades) 

• Claim #2: Problem Solving

• Sandbags 1 (6.SP.3; difficulty progressions) 

• Performance Task: Taking a Field Trip (Claims #2-4; 6.RP)