# Instruments

The aimswebPlus math assessments are sold by Pearson. Each of the standards-aligned test's subtests can be administered in under four minutes. The assessment can be used for progress monitoring and as a universal screening tool.

**Category**: Academic Knowledge and Skills

**Sub-Category**: Math

**Grades**: 5th Grade, 6th Grade, 7th Grade, 8th Grade

The Early Childhood Longitudinal Study, Kindergarten Class of 1998-99 (ECLS-K) includes a set of cognitive assessments designed to measure conceptual knowledge, procedural knowledge, and problem solving within specific content strands across a full set of grade-level assessments. Made to focus on children's early school experiences by following children from grades K-8, the assessment data and longitudinal nature of the test enabled researchers to study how a wide range of factors are associated with school performance and progression.

**Category**: Academic Knowledge and Skills

**Sub-Category**: Math

**Grades**: 5th Grade, 8th Grade

The Early Childhood Longitudinal Study, Kindergarten Class of 2010-11 (ECLS-K:11) includes a set of cognitive assessments designed to measure conceptual knowledge, procedural knowledge, and problem solving within specific content strands across a full set of grade-level assessments. Made to focus on children's early school experiences by following children from grades K-5, the assessment data and longitudinal nature of the test enabled researchers to study how a wide range of factors are associated with school performance and progression. Content covered in third, fourth, and fifth grades was determined by comparing the state or national standards from Texas, Virginia, NAEP, and the National Council of Teachers of Mathematics. The target content percentages for third, fourth, and fifth grades are based on the fourth-grade recommendations in the 2011 NAEP frameworks.

**Category**: Academic Knowledge and Skills

**Sub-Category**: Math

**Grades**: 5th Grade

The GMADE (Group Mathematics Assessment and Diagnostic Evaluation) is a diagnostic mathematics test sold by Pearson that measures individual student skills in the main areas of math. The assesmsent aligns with standards by the National Council of Teachers of Mathematics (NCTM) and can be used for growth monitoring, strengths and areas for improvement identification, and student placement.

**Category**: Academic Knowledge and Skills

**Sub-Category**: Math

**Grades**: 5th Grade, 6th Grade, 7th Grade, 8th Grade

The HMH Math Inventory is an assessment that can be used for universal screening and growth monitoring. The adaptive, computer-based test can be taken three to five times per year. The HMH Math Inventory was developed with guidance from the National Math Panel, the National Council of Teachers of Mathematics, and was developed to align with the Common Core State Standards.

**Category**: Academic Knowledge and Skills

**Sub-Category**: Math

**Grades**: 5th Grade, 6th Grade, 7th Grade, 8th Grade

i-Ready, sold by Curriculum Associates, offers a diagnostic test that adapts to student responses and measures skills that fall below and above the student's grade level and the standards mastery test, which assesses grade level standards and can help educators measure and monitor growth for each student.

**Category**: Academic Knowledge and Skills

**Sub-Category**: Math

**Grades**: 5th Grade, 6th Grade, 7th Grade, 8th Grade

Iowa Assessments, Forms E and F from Iowa Testing Programs at the University of Iowa measure student achievement and growth as defined by the Iowa Core. The tests are sold outside of Iowa by Riverside Insights.

**Category**: Academic Knowledge and Skills

**Sub-Category**: Math

**Grades**: 5th Grade, 6th Grade, 7th Grade, 8th Grade

The KTEA-3 is an individually adminstered battery sold by Pearson. Within the battery is an assessment developed to be aligned with the National Council of Teachers of Mathematics standards and also mapped to the Common Core State Standards.

**Category**: Academic Knowledge and Skills

**Sub-Category**: Math

**Grades**: 5th Grade, 6th Grade, 7th Grade, 8th Grade

The KeyMath-3 DA is an individually administered measure of key math concepts and skills. It was developed to be aligned with the National Council of Teacher of Mathematics Principles and Standards for School Mathematics and Focal Points.

**Category**: Academic Knowledge and Skills

**Sub-Category**: Math

The National Assessment of Educational Progress (NAEP) mathematics assessment is given every two years to students at grades 4 and 8, and approximately every four years at grade 12. The assessment measures both mathematics knowledge and the students’ ability to apply their knowledge in problem-solving situations. The results present a broad view of students’ mathematics knowledge, skills, and performance over time. The most recent mathematics assessment was given in 2019 to approximately 149,500 students in grade 4 and 147,400 students in grade 8. The instruments used in the NAEP mathematics assessment are composed of blocks of cognitive items from the previous NAEP assessments, as well as blocks that are newly developed for the current assessment.

**Category**: Academic Knowledge and Skills

**Sub-Category**: Math

**Grades**: 8th Grade

The Northwest Evaluation Association (NWEA) MAP Growth assessment is an adaptive benchmark assessment in general mathematics, algebra, and geometry. The interim test can be administered three times a year to plan instruction and group students based on their specific needs. The tests are avalible in English and Spanish. Although item pools are aligned to individual state blueprints, they overlap to a very high degree because state content standards are highly similar.

**Category**: Academic Knowledge and Skills

**Sub-Category**: Math

**Grades**: 5th Grade, 6th Grade, 7th Grade, 8th Grade

The PSAT 8/9 is a standardized test administered by CollegeBoard for 8th and 9th graders. The math section emphasizes problem solving, modeling, using tools strategically, and using algebraic structure. A total of 38 questions, the math section is divided into a calculator and no-calculator sections.

**Category**: Academic Knowledge and Skills

**Sub-Category**: Math

**Grades**: 8th Grade

The Stanford 10 Achievement Test, sold by Pearson, is developed to align with IRA/NCTE standards, state standards, and the National Assessment of Education Progress (NAEP). The standardized assessment can help monitor students' progress and also identify strengths and areas in need of support for placement and instructional planning. The test is sold only to accredited schools and districts. Aprenda-3 is the Spanish assessment modeled off of the Stanford 10 that allows educators to test Spanish-speaking students in their native language.

**Category**: Academic Knowledge and Skills

**Sub-Category**: Math

**Grades**: 5th Grade, 6th Grade, 7th Grade, 8th Grade

TerraNova 3 from Data Recognition Corporation includes a range of assessment products that measure middle grade math knowledge and skills, including online formats and brief test forms. The testing system was developed to be aligned to NCTM standards. TerraNova is available in Spanish as SUPERA.

**Category**: Academic Knowledge and Skills

**Sub-Category**: Math

The Woodcock-Johnson IV battries, sold by Riverside Insights, contain three co-normed batteries that measure strengths and weaknesses and diagnose learning abilities. The batteries are: the WJ IV Tests of Cognitive Abilities, WJ IV Tests of Achievement, and WJ IV Tests of Oral Language. The WJ IV Tests of Cognitive Abilities also includes a new Gf-Gc Composite that allows administrators to compare with other cognitive abilities and achievement. In addition to mathematics, the WJ IV assesses oral language, reading, and writing.

**Category**: Academic Knowledge and Skills

**Sub-Category**: Math

The Trends in International Mathematics and Science Study (TIMSS) assessment for grade 8 is an international standardized test that measures math reasoning and problem solving in algebra, geometry, data analysis, and probability. The assessment is then analyzed to provide data on the mathematics achievement of U.S. students compared to that of students in other countries. TIMSS is in the process of transitioning to a digitally-based assessment called eTIMSS. The test provides reliable and timely data on the mathematics and science achievement of U.S. students compared to that of students in other countries. TIMSS data have been collected from students at grades 4 and 8 since 1995 every 4 years, generally. In addition, TIMSS Advanced measures advanced mathematics and physics achievement in the final year of secondary school across countries. TIMSS Advanced data have been collected internationally three times, in 1995, 2008 and 2015. The United States participated in TIMSS Advanced in 1995 and 2015. TIMSS is sponsored by the International Association for the Evaluation of Educational Achievement (IEA) and conducted in the United States by the National Center for Education Statistics (NCES). The most recent TIMSS data collection was in 2015 and included students in grades 4, 8 and 12.

**Category**: Academic Knowledge and Skills

**Sub-Category**: Math

**Grades**: 8th Grade

Wechsler Individual Achievement Test - Fourth Edition (WIAT-4) is an individually administered achievement test sold by Pearson for use in a variety of clinical, education, and research settings.

**Category**: Academic Knowledge and Skills

**Sub-Category**: Math

**Grades**: 5th Grade, 6th Grade, 7th Grade, 8th Grade

The Wide Range Achievement Test Fifth Edition (WRAT5) is an assessment sold by Pearson that measures math skills, in addition to reading and spelling, and helps identify possible learning disabilities.

**Category**: Academic Knowledge and Skills

**Sub-Category**: Math