New Mexico Common Core State Standards for Mathematics (NMCCSS / 'NM STEM Ready! Math'; CCSS-M adopted 2010) — New Mexico
NM-MSSA Grade 8 The Number System. Practice it free.
Concepts & Procedures reporting category (grade 8). The Number System: irrational numbers and approximating them by rationals. NM-MSSA core-point share: ~5-12%. This Grade 8 reporting domain maps to 1 practice skill and 8 representative questions from the playable bank.
What the test measuresStandards basis How the NM-MSSA reports it Blueprint & weighting Official sources
The Number System skills
Know that there are numbers that are not rational, and approximate them by rational numbers
NM-MSSA is New Mexico's statewide summative assessment for Grades 3-8 (mathematics and ELA), administered by Cognia for the New Mexico Public Education Department. It is not built on a national framework (SBAC/NAEP); its items are aligned to the New Mexico Common Core State Standards (NMCCSS) — the CCSS-M that New Mexico adopted in 2010 and re-branded 'NM STEM Ready! Math'. The official math Test Blueprint and the public-facing Mathematics Test Specifications expose a per-grade reporting-category structure whose Concepts & Procedures categories ARE the CCSS-M content domains (Operations & Algebraic Thinking, Number & Operations in Base Ten, etc.), with published point/percentage ranges. This coverage_map was enriched from those two primary documents (the bare resources page transcribed earlier exposed only resource links, not the content structure). Reporting categories are grouped exactly as the blueprint groups them: Grades 3/4/5, Grades 6/7, and Grade 8 (grade 8 replaces Ratios & Proportional Relationships with Functions, matching CCSS). Two mathematical-practices reporting categories (Problem Solving / Reasoning & Argument; Modeling / Structure & Repeated Reasoning) are reported across all grades and are the CCSS Standards for Mathematical Practice (process standards), carried here as a separate per-band domain.
Published per-grade core-point distributions (NM-MSSA Operational Test Blueprint, Mathematics Test Specifications, Cognia/NMPED 2024). Concepts & Procedures content domains as a percent of the per-grade Concepts & Procedures subtotal — Grade 3: Operations & Algebraic Thinking 32-39%, Number & Operations in Base Ten 8-15%, Number & Operations—Fractions 12-19%, Measurement & Data 24-31%, Geometry 4-11%. Grade 4: 18-25% / 18-25% / 30-37% / 10-17% / 4-11%. Grade 5: 8-15% / 22-29% / 22-29% / 22-29% / 6-13%. Grade 6: Ratios & Proportional Relationships 15-22%, The Number System 22-27%, Expressions & Equations 26-33%, Geometry 9-16%, Statistics & Probability 9-16%. Grade 7: 15-22% / 13-20% / 28-35% / 9-16% / 15-22%. Grade 8: Functions 16-23%, The Number System 5-12%, Expressions & Equations 28-34%, Geometry 18-25%, Statistics & Probability 13-19%. Mathematical Practices are scored independently (Problem Solving/Reasoning & Argument and Modeling/Structure & Repeated Reasoning each >=15% of core points per grade); a small fixed number of practice points from constructed-response rubrics contribute to the overall score. Depth of Knowledge: grades 3-6 DOK1 5-25% / DOK2 50-80% / DOK3 5-30%; grades 7-8 DOK1 0-20% / DOK2 50-80% / DOK3 5-30%.
New Mexico Public Education Department — NM-MSSA Resources
NM-MSSA Mathematics Test Blueprint (NMPED, 2025)
NM-MSSA Summative Test Specifications — Mathematics (Cognia, Rev. 2024)
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8 free questions · 0/0 correct
lies between two consecutive integers. Enter the larger one.
, so is between and ; the larger is .
What integer is closest to ?
sits right above and , so the closest integer is .
What is the integer part of ?
, so ; the integer part is .
Which is closest to ?
.
Which is closest to ?
.
Which is closest to ?
.
Which is closest to ?
.
is between two consecutive integers. Enter the smaller one.
, so is between and ; the smaller is .
Keep practicing
Turn the number system into game time.
The NM-MSSA placement starts with this test's real coverage map and finds the right difficulty.
Related Common Core standards
The Number System in other NM-MSSA grades
Source and test overview
Reporting categories
More Grade 8 domains
FunctionsConcepts & Procedures reporting category (grade 8; replaces Ratios & Proportional Relationships, which CCSS does not carry at grade 8). Functions: defining, evaluating, and comparing functions, and using functions to model relationships between quantities. NM-MSSA core-point share: ~16-23%.8 QsPractice →Expressions & EquationsConcepts & Procedures reporting category (grade 8). Expressions and Equations: radicals and integer exponents; the connection between proportional relationships, lines, and linear equations; and analyzing and solving linear equations and systems. NM-MSSA core-point share: ~28-34%.8 QsPractice →GeometryConcepts & Procedures reporting category (grade 8). Geometry: congruence and similarity via transformations, the Pythagorean Theorem, and volume of cylinders, cones, and spheres. NM-MSSA core-point share: ~18-25%.8 QsPractice →Statistics & ProbabilityConcepts & Procedures reporting category (grade 8). Statistics and Probability: patterns of association in bivariate data (scatter plots, two-way tables, lines of best fit). NM-MSSA core-point share: ~13-19%.8 QsPractice →