NAEP Technical DocumentationBlock and Scale Composition, Grade 4 Mathematics Combined National and State Assessment: 2015

Block composition before scaling, grade 4 mathematics combined national and state assessment, by item type and block: 2015

Block	Total number of items	Number of multiple-choice items	Number of constructed-response items
			2-category	3-category	4-category	5-category
Total	150	105	14	27	1	3
M3	15	11	2	1	0	1
M4	15	11	1	3	0	0
M5	15	10	3	1	0	1
M6	15	10	1	4	0	0
M7	16	11	2	3	0	0
M8	15	11	3	0	1	0
M9	15	10	2	3	0	0
M10	15	11	0	4	0	0
M11	16	10	0	5	0	1
M12	13	10	0	3	0	0
NOTE: For a small number of constructed-response items, adjacent categories were combined. SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2015 Mathematics Assessment.

Scale composition for new blocks as defined after scaling, grade 4 mathematics combined national and state assessment, by item type and subscale: 2015

Subscale	Multiple-choice items		Dichotomously scored constructed-response items		Polytomously scored constructed-response items
	Scaled	Dropped	Scaled	Dropped	Polytomous (uncollapsed)	Dichotomous collapsed	Polytomous collapsed	Dropped
Total	32	0	5	0	9	0	0	0
Number properties and operations	12	0	2	0	4	0	0	0
Measurement	7	0	2	0	2	0	0	0
Geometry	6	0	0	0	0	0	0	0
Data analysis, statistics, and probability	2	0	1	0	1	0	0	0
Algebra	5	0	0	0	2	0	0	0
NOTE: "Dropped" denotes items that were deleted from the final scaling. "Collapsed" denotes items that had categories that were combined and recoded for scaling. Some items were administered previously under different contexts. SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2015 Mathematics Assessment.

Scale composition for trend blocks as defined after scaling, grade 4 mathematics combined national and state assessment, by item type and subscale: 2015

Subscale	Multiple-choice items			Dichotomously scored constructed-response items			Polytomously scored constructed-response items
	Concurrent	Split	Dropped	Concurrent	Split	Dropped	Polytomous (uncollapsed)	Dichotomous collapsed	Polytomous collapsed	Split	Dropped
Total	73	0	0	9	0	0	20	1	1	1	0
Number properties and operations	34	0	0	3	0	0	4	1	1	1	0
Measurement	12	0	0	1	0	0	3	0	0	0	0
Geometry	9	0	0	0	0	0	7	0	0	0	0
Data analysis, statistics, and probability	11	0	0	1	0	0	3	0	0	0	0
Algebra	7	0	0	4	0	0	3	0	0	0	0
NOTE: "Concurrent" denotes items that were scaled as the same items across assessment years. "Split" denotes items that were scaled as different items in each assessment year. "Dropped" denotes items that were deleted from the final scaling. "Collapsed" denotes items that had categories that were combined and recoded for scaling. The number of concurrent polytomously scored constructed-response items is equal to the total number in the first three categories under "Polytomously scored constructed-response items". SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2015 Mathematics Assessment.

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