NAEP Analysis and Scaling → Estimation of NAEP Score Scales → NAEP Scales → Scale Composition by Item Type for New and Trend Blocks → Mathematics Assessment Subscale Composition for New and Previously Administered Blocks at Grade 12

NAEP Technical DocumentationMathematics Assessment Subscale Composition for New and Previously Administered Blocks at Grade 12

Each mathematics assessment includes blocks of new items and blocks of items from previous assessments. For the new items and for the previously administered items in each mathematics scale, the number of multiple-choice, dichotomously scored constructed-response and polytomously scored constructed-response items are provided at grade 12. The item counts are available for each scale as defined in the final Item Response Theory (IRT) scales.

Subscale composition for new blocks as defined after scaling, grade 12 mathematics combined national and state main assessment, by item type: 2009

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
NOTE: At grade 12, the measurement and geometry subscales were combined. "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), 2009 Mathematics Assessment.
Total	107	1	14	0	41	1	0	0
Number sense, properties, and operations	15	0	3	0	1	0	0	0
Measurement and geometry	27	1	4	0	19	0	0	0
Data analysis, statistics, and probability	26	0	5	0	7	1	0	0
Algebra	39	0	2	0	14	0	0	0

Subscale composition for previously administered blocks as defined after scaling, grade 12 mathematics combined national and state main assessment, by item type: 2009

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
NOTE: At grade 12, the measurement and geometry subscales were combined. "Concurrent" denotes items that were scaled as common 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. SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2009 Mathematics Assessment.
Total	119	0	0	24	0	0	30	1	6	0	0
Number sense, properties, and operations	21	0	0	4	0	0	6	0	0	0	0
Measurement and geometry	40	0	0	7	0	0	12	0	1	0	0
Data analysis, statistics, and probability	20	0	0	6	0	0	7	0	2	0	0
Algebra	38	0	0	7	0	0	5	1	3	0	0

Block composition, grade 12 mathematics combined national and state main assessment, by item type and block: 2009

Block1	Total number of items	Number of multiple-choice items	Number of polytomously-scored constructed-response items
			2-category	3-category	4-category	5-category
1 Common blocks M13–M22 were previously named M3–M12 in 2005. 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), 2009 Mathematics Assessment.
Total	344	227	39	53	5	20
M1	14	9	1	3	0	1
M2	14	9	0	4	0	1
M3	14	9	2	2	0	1
M4	14	8	1	5	0	0
M5	14	10	1	2	0	1
M6	14	10	1	2	0	1
M7	13	8	1	3	0	1
M8	13	8	1	3	0	1
M9	13	10	1	1	0	1
M10	13	8	1	3	0	1
M11	14	9	3	1	0	1
M12	14	10	2	1	1	0
M13	17	12	1	3	1	0
M14	17	11	2	2	0	2
M15	18	11	3	1	2	1
M16	17	14	1	2	0	0
M17	18	13	0	4	0	1
M18	21	10	4	5	0	2
M19	18	7	5	4	1	1
M20	18	11	5	1	0	1
M21	18	15	2	0	0	1
M22	18	15	1	1	0	1

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