1. Are you Smarter than a 4th Grader? Get to know the Smarter Balance Test
DOK and 4th Grade Mathematics
Smarter Balanced Assessment Questions
Jon McKenzie and Joe Kremer

2. Learning Goals for today
I understand the role that the Iowa Core and SBAC items play in helping us align instruction, instructional materials and various classroom assessments

3. Iowa Core – 4th Grade Mathematics

4. Depth of Knowledge (D.O.K.)
Measures the degree to which the knowledge elicited from students on assessments is as complex as what students are expected to know and do as listed in the state standards.
The Depth of Knowledge conceptual framework forms the basis for development of Common Core and the associated Assessments.
Developed by Dr. Norman Webb, senior research scientist at the National Institute for Science Education.

5. Depth of Knowledge DOK 1 Recall DOK 2 Basic Application Skill/Concept
Recall of a fact, information, or perform a routine procedure.
DOK 2 Basic Application Skill/Concept
Routine use information or conceptual knowledge, two or more steps, etc.
DOK 3 Strategic Thinking
Requires reasoning, developing plan or a sequence of steps, some complexity, more than one approach or possible right answer; non-routine
DOK 4 Extended Thinking
Requires an investigation or application to real world, time to think and process multiple conditions of the problem or task; non-routine manipulations across content areas/sources
Google Doc – Web’s DOK examples

6. D.O.K. rigor is not about difficulty… …it is about the complexity of thinking
Difficulty is a reference to how many students answer a question correctly.
Same DOK, Different Level of Difficulty
Level 1 DOK - Who is the current President of the United States?
Level 1 DOK – Who was the 19th President of the United States?

7. Depth of Knowledge
DOK levels are cumulative. For example, a DOK level 3 activity will probably contain DOK level 1 and 2 elements;
However, DOK levels are NOT additive. You cannot create a DOK level 2 activity with only DOK level 1 elements (i.e., a DOK level 1 + DOK level 1 does not equal a DOK level 2)

8. So, why is this important
We need to become better consumers of the Iowa core so instructional planning, materials, actions and evidence collection activities are aligned with the level of rigor intended by the Iowa Core - (CIA)
What happens when this alignment is not realized?

10. Your Turn….. Are you up to the challenge?
Read and consider each SBAC assessment item which follows
Identify the level of Depth of Knowledge (DOK) represented in the item
Bonus – identify standard and correct answer
Do not worry if you get these wrong. This is hard work and takes practice!

11. Select the statement that explains how the values of the numbers 420 and 4,200 are different.
a. 4,200 is 1000 times as large as 420
b. 4,200 is 100 times as large as 420
c. 4,200 is 10 times as large as 420
d. 4,200 is 1 time as large as 420

12. Rubric: (1 point) Student selects the correct statement.
Item
Claim
Domain
Target
DOK
CONTENT MP
Key #2 1
NBT D
4.NBT.A.1
N/A C
Key: C
Rubric: (1 point) Student selects the correct statement.

13. Figure A has 4 12 of its whole shaded.
Write another fraction that is equal to

14. .
Item
Claim
Domain
Target
DOK
CONTENT MP
Key #3 1 NF F
4.NF.A.1
N/A
See exemplar
Key: 𝟏 𝟑 or its equivalent
Rubric: (1 point) Student enters fraction equivalent to , but not 4 12

15. Check the box that matches each figure with its description
Check the box that matches each figure with its description. Each figure may be matched to more than one description.

16. Exemplar: (shown at right)
Item
Claim
Domain
Target
DOK
CONTENT MP
Key #4 1 G L 2
4.G.A.2
N/A
See exemplar
Exemplar: (shown at right)
Rubric: (1 point) Student selects the correct shape attributes.

17. A student claims that all fractions greater than 3 7 have a denominator less than 7.
Show that the student’s claim is only sometimes true.
Write one number in each box to create a fraction greater than with a denominator less than 7.
Write one number in each box to create a fraction greater than with a denominator greater than 7.

18. Exemplar: (shown at right)
Item
Claim
Domain
Target
DOK
CONTENT MP
Key #7 3 NF F 2
4.NF.A.2
2, 3
See exemplar
Exemplar: (shown at right)
This is only one example of a correct response.
Rubric:
(2 points) Student enters a correct fraction in both Part A and Part B.
(1 point) Student enters a correct fraction in either Part A or Part B.

19. A teacher gives 6 students some cards to play a game
A teacher gives 6 students some cards to play a game. She has 52 cards total. The teacher gives each student 1 card until all 52 cards are gone.
How many students get exactly 9 cards?
a. 2
b. 4
c. 5
d. 6

20. Rubric: (1 point) Student selects the correct number of students.
Item
Claim
Domain
Target
DOK
CONTENT MP
Key #8 2 OA A
4.OA.A.3
1, 2 B
Key: B
Rubric: (1 point) Student selects the correct number of students.

21. Select all the equations that represent this problem.
Scott is reading a book that has 172 pages. Melanie is reading a book that has three times as many pages as Scott’s book. How many pages does Melanie’s book have?
Select all the equations that represent this problem.

22. Item
Claim
Domain
Target
DOK
CONTENT MP
Key
#10 4 OA E 2
4.OA.A.1, 3.OA.B.6
See exemplar
Exemplar: (shown at right)
Rubric:
(2 points) Student selects three correct equations and no incorrect equations.
(1 point) Student selects two correct equations and no incorrect equations.

23. How many liters of water does Sam need to fill the fish tank?
A bottle holds liters of water. Sam needs 8 full bottles of water to fill his fish tank.
How many liters of water does Sam need to fill the fish tank?

24. Rubric: (1 point) Student selects the correct number of liters.
Item
Claim
Domain
Target
DOK
CONTENT MP
Key
#14 1 NF G 2
4.NF.B.4c
N/A B
Key: B
Rubric: (1 point) Student selects the correct number of liters.

25. Select True or False for each comparison.

26. Exemplar: (shown at right)
Item
Claim
Domain
Target
DOK
CONTENT MP
Key
#16 1 NF F 2
4.NF.A.2
N/A
See exemplar
Exemplar: (shown at right)
Rubric: (1 point) Student correctly identifies all three comparisons as either true or false (FFT).

27. Select True or False for each comparison.

28. Exemplar: (shown at right)
Item
Claim
Domain
Target
DOK
CONTENT MP
Key
#18 1
NBT D 2
4.NBT.A.2
N/A
See exemplar
Exemplar: (shown at right)
Rubric: (1 point) Student correctly identifies the comparisons as true or false (TFT).

29. Decide whether each expression is equal to 5 x 2 4
Decide whether each expression is equal to 5 x Check your answer within the table.

30. Exemplar: (shown at right) Rubric:
Item
Claim
Domain
Target
DOK
CONTENT MP
Key
#22 1 NF G 2
4.NF.B.4b
N/A
See exemplar
Exemplar: (shown at right)
Rubric:
(1 point) Student correctly identifies the expressions as “Equal to” or “Not Equal to” the given expression (NNE).

31. Write one number in each box to complete
the subtraction problem shown.

32. Exemplar: (shown at right) Rubric:
Item
Claim
Domain
Target
DOK
CONTENT MP
Key
#23 2
NBT A
4.NBT.B.4 1
See exemplar
Exemplar: (shown at right)
Rubric:
(1 point) Student drags correct numbers into each box to complete the subtraction problem.

33. Marcia read books over the summer. She created the picture graph shown.
Create another picture graph that shows these data with a different key. You may use whole books and half books in your graph.
Circle the key you will use.
Color in the books to complete your picture graph.

34. Exemplar: (shown at right)
Item
Claim
Domain
Target
DOK
CONTENT MP
Key #5 4
MD, OA, NF F 3
3.MD.B.3, 4.OA.B.4, 4.NF.B.4b
1, 6
See exemplar
Exemplar: (shown at right)
Rubric: (1 point) Student selects a key and correctly completes the picture graph using that key.

35. Nicole is helping set up tables in the cafeteria.
Each table in the cafeteria seats 8 students.
Fourth grade students must fill a whole table before sitting at another table.
There are 126 fourth grade students.
She used these steps to solve the problem:
Which equation could be Nicole’s Step 3 if she solved the problem correctly?
a. 8-6=2
b. 6+15=21
c. 6x8=48
d. 18/6=3

36. Rubric: (1 point) Student selects the correct equation.
Item
Claim
Domain
Target
DOK
CONTENT MP
Key
#12 3 OA B
4.OA.A.3
1, 3 A
Key: A
Rubric: (1 point) Student selects the correct equation.

37. Select all the numbers that make this inequality true.

38. Exemplar: (shown at right)
Item
Claim
Domain
Target
DOK
CONTENT MP
Key
#19 3 NF D
4.NF.B.3 7
See exemplar
Exemplar: (shown at right)
Rubric: (1 point) Student selects the first and second numbers.

39. Write one fraction in each box to create two true comparisons.

40. Rubric: (2 points) Student creates two true comparisons.
Item
Claim
Domain
Target
DOK
CONTENT MP
Key
#25 3 NF A
4.NF.A.2 6
See exemplar
Exemplar: 𝟐 𝟑 > 𝟏 𝟐 , 𝟑 𝟓 < 𝟒 𝟔 (Other correct responses are possible)
Rubric: (2 points) Student creates two true comparisons.
(1 point) Student creates one true comparison.

41. Thoughts?
Implications?
Next Steps for our School/District?
Staff Needs?
Questions