DEPTH OF
KNOWLEDGE


ASSESSMENT THROUGH CONSTRUCTED
RESPONSES - ELA
WHY THE SHIFT TOWARDS DEEPER
INQUIRY?
                                            Level 3 and 4 Questioning
                                            Strategic Reasoning –
                                            • complex thinking
                                            • rationalizing,
                                            • more than one possible
                                               answer
                                            Extended Reasoning-
                                            • Multiple Steps
                                            • Across Content Areas
Level 1 and 2 Questioning                   • Applied to real world and
Recall –                                       novel circumstances
• Facts and basic knowledge
Skills / Concepts –
• Application in predicable circumstances
WHY THE SHIFT TOWARDS DEEPER
INQUIRY?
                                             Level 3 and 4 Questioning
                                             Strategic Reasoning –
                                             • complex thinking
                                             • rationalizing,
                                             • more than one possible
                                                answer
CST


                                             Extended Reasoning-
                                             • Multiple Steps
                                             • Across Content Areas
Level 1 and 2 Questioning                    • Applied to real world and
Recall –                                        novel circumstances
• Facts and basic knowledge
Skills / Concepts –
• Application in predicable circumstances




           CST has only assessed students on their ability to think at levels 1
           and 2.
WHY THE SHIFT TOWARDS DEEPER
INQUIRY?
                                                                Level 3 and 4 Questioning
                                                                Strategic Reasoning –
                                                                • complex thinking
                                                                • rationalizing,
                                                                • more than one possible
                                                                   answer

                                  SBAC
                                                                Extended Reasoning-
                                                                • Multiple Steps
                                                                • Across Content Areas
 Level 1 and 2 Questioning                                      • Applied to real world and
 Recall –                                                          novel circumstances
 • Facts and basic knowledge
 Skills / Concepts –
 • Application in predicable circumstances



SBAC will be assessing students both in level 1 and 2, as well as in their ability to think at higher levels.
LEVEL 1 EXAMPLE: GRADE 8
  Select all of the expressions that have a value between 0 and 1.


         87  –12
             8


          74
          7–3

                2           9
           1            1
                    
           3            3


          (–5)6
          (–5)10

This is a grade 8 item that is coded to depth of knowledge level one. This item
requires students to recall the rules for exponents to evaluate each expression and
select the expression or expressions with a value between zero and one.
LEVEL 2 EXAMPLE: GRADE 8

  A cylindrical tank has a height of 10 feet and
  a radius of 4 feet. Jane fills this tank with water
  at a rate of 8 cubic feet per minute. How many
  minutes will it take Jane to completely fill the
  tank without overflowing at this rate?

  Round your answer to the nearest minute.


This is a grade 8 item that is coded to depth of knowledge level two. This item requires students to use
the formula for the volume of a cylinder, as well as a basic understanding of rate, to calculate the
number of minutes Jane will take to fill the water tank.
LEVEL 3 EXAMPLE: GRADE 8
 The total cost for an order of shirts from a company consists of the cost for
 each shirt plus a one-time design fee. The cost for each shirt is the same
 no matter how many shirts are ordered.
 The company provides the following examples to customers to help them
 estimate the total cost for an order of shirts.
     • 50 shirts cost $349.50
     • 500 shirts cost $2370

 Part A: Using the examples provided, what is the cost for each shirt, not
 including the one-time design fee? Explain how you found your answer.

 Part B: What is the cost of the one-time design fee? Explain how you found
 your answer.

This is a grade 8 item that is coded to depth of knowledge level three. This item requires students to
perform calculations in order to respond to each part. In addition, students are required to provide an
explanation for each answer.
LEVEL 4 EXAMPLE: GRADE 8
During the task, the student assumes the role of an architect
who is responsible for designing the best plan for a park with
area and financial restraints. The student completes tasks in
which he/she compares the costs of different
bids, determines what facilities should be given priority in
the park, and then develops a scale drawing of the best
design for the park and an explanation of the choices made.
This investigation is done in class using a calculator, an
applet to construct the scale drawing, and a spreadsheet.

This is a description for a grade 8 performance task that is coded to depth of knowledge level
four. This item requires students to use concepts of geometry, numbers and operations, and
statistics to determine the best solution to a problem where all constraints cannot be satisfied at
the same time. Additionally, the student must provide justifications to support reasoning.
Students are expected to engage with the task for an extended period of time, up to 120
minutes.
Skills developed
in the various
Depth of
Knowledge
levels.




 Classroom
 application of
 these skills

Depth of Knowledge - Math

  • 1.
    DEPTH OF KNOWLEDGE ASSESSMENT THROUGHCONSTRUCTED RESPONSES - ELA
  • 3.
    WHY THE SHIFTTOWARDS DEEPER INQUIRY? Level 3 and 4 Questioning Strategic Reasoning – • complex thinking • rationalizing, • more than one possible answer Extended Reasoning- • Multiple Steps • Across Content Areas Level 1 and 2 Questioning • Applied to real world and Recall – novel circumstances • Facts and basic knowledge Skills / Concepts – • Application in predicable circumstances
  • 4.
    WHY THE SHIFTTOWARDS DEEPER INQUIRY? Level 3 and 4 Questioning Strategic Reasoning – • complex thinking • rationalizing, • more than one possible answer CST Extended Reasoning- • Multiple Steps • Across Content Areas Level 1 and 2 Questioning • Applied to real world and Recall – novel circumstances • Facts and basic knowledge Skills / Concepts – • Application in predicable circumstances CST has only assessed students on their ability to think at levels 1 and 2.
  • 5.
    WHY THE SHIFTTOWARDS DEEPER INQUIRY? Level 3 and 4 Questioning Strategic Reasoning – • complex thinking • rationalizing, • more than one possible answer SBAC Extended Reasoning- • Multiple Steps • Across Content Areas Level 1 and 2 Questioning • Applied to real world and Recall – novel circumstances • Facts and basic knowledge Skills / Concepts – • Application in predicable circumstances SBAC will be assessing students both in level 1 and 2, as well as in their ability to think at higher levels.
  • 6.
    LEVEL 1 EXAMPLE:GRADE 8 Select all of the expressions that have a value between 0 and 1. 87 –12 8 74 7–3 2 9 1 1 3 3 (–5)6 (–5)10 This is a grade 8 item that is coded to depth of knowledge level one. This item requires students to recall the rules for exponents to evaluate each expression and select the expression or expressions with a value between zero and one.
  • 7.
    LEVEL 2 EXAMPLE:GRADE 8 A cylindrical tank has a height of 10 feet and a radius of 4 feet. Jane fills this tank with water at a rate of 8 cubic feet per minute. How many minutes will it take Jane to completely fill the tank without overflowing at this rate? Round your answer to the nearest minute. This is a grade 8 item that is coded to depth of knowledge level two. This item requires students to use the formula for the volume of a cylinder, as well as a basic understanding of rate, to calculate the number of minutes Jane will take to fill the water tank.
  • 8.
    LEVEL 3 EXAMPLE:GRADE 8 The total cost for an order of shirts from a company consists of the cost for each shirt plus a one-time design fee. The cost for each shirt is the same no matter how many shirts are ordered. The company provides the following examples to customers to help them estimate the total cost for an order of shirts. • 50 shirts cost $349.50 • 500 shirts cost $2370 Part A: Using the examples provided, what is the cost for each shirt, not including the one-time design fee? Explain how you found your answer. Part B: What is the cost of the one-time design fee? Explain how you found your answer. This is a grade 8 item that is coded to depth of knowledge level three. This item requires students to perform calculations in order to respond to each part. In addition, students are required to provide an explanation for each answer.
  • 9.
    LEVEL 4 EXAMPLE:GRADE 8 During the task, the student assumes the role of an architect who is responsible for designing the best plan for a park with area and financial restraints. The student completes tasks in which he/she compares the costs of different bids, determines what facilities should be given priority in the park, and then develops a scale drawing of the best design for the park and an explanation of the choices made. This investigation is done in class using a calculator, an applet to construct the scale drawing, and a spreadsheet. This is a description for a grade 8 performance task that is coded to depth of knowledge level four. This item requires students to use concepts of geometry, numbers and operations, and statistics to determine the best solution to a problem where all constraints cannot be satisfied at the same time. Additionally, the student must provide justifications to support reasoning. Students are expected to engage with the task for an extended period of time, up to 120 minutes.
  • 10.
    Skills developed in thevarious Depth of Knowledge levels. Classroom application of these skills

Editor's Notes

  • #7 This is a grade 8 item that is coded to depth of knowledge level one. This item requires students to recall the rules for exponents to evaluate each expression and select the expression or expressions with a value between zero and one.
  • #8 This is a grade 8 item that is coded to depth of knowledge level two. This item requires students to use the formula for the volume of a cylinder, as well as a basic understanding of rate, to calculate the number of minutes Jane will take to fill the water tank.
  • #9 This is a grade 8 item that is coded to depth of knowledge level three. This item requires students to perform calculations in order to respond to each part. In addition, students are required to provide an explanation for each answer.
  • #10 This is a description for a grade 8 performance task that is coded to depth of knowledge level four. This item requires students to use concepts of geometry, numbers and operations, and statistics to determine the best solution to a problem where all constraints cannot be satisfied at the same time. Additionally, the student must provide justifications to support reasoning. Students are expected to engage with the task for an extended period of time, up to 120 minutes.