NM-MSSA Grades 3, 4, 5 Operations & Algebraic Thinking Practice

What the test measures

Operations & Algebraic Thinking skills

Represent and solve problems involving multiplication and division
Understand properties of multiplication and the relationship between multiplication and division
Multiply and divide within 100
Solve problems involving the four operations, and identify and explain patterns in arithmetic
Use the four operations with whole numbers to solve problems
Gain familiarity with factors and multiples
Generate and analyze patterns
Write and interpret numerical expressions
Analyze patterns and relationships

Standards basis

New Mexico Common Core State Standards for Mathematics (NMCCSS / 'NM STEM Ready! Math'; CCSS-M adopted 2010) — New Mexico

How the NM-MSSA reports it

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.

Blueprint & weighting

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%.

Official sources

New Mexico Public Education Department — NM-MSSA Resources
NM-MSSA Mathematics Test Blueprint (NMPED, 2025)
NM-MSSA Summative Test Specifications — Mathematics (Cognia, Rev. 2024)

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

Practice playeasy

Which property is $7 + 0 = 7$ ?

$7 + 0 = 7$ shows adding $0$ does not change the answer, so the expressions are equal in value. This is the identity property.

Practice playeasy

What is $2 \div 1$ ?

$1 \times 2 = 2$ , so $2 \div 1 = 2$ .

Practice playeasy

What is $2 \times 8$ ?

$2 \times 8 = 16$ .

Practice playeasy

Which number is $20$ divisible by?

The last digit of $20$ is $0\textsf{,}$ so $20$ is divisible by $10\textsf{.}$

Practice playeasy

What is the $3$ rd multiple of $4$ ?

Three $4\text{s}$ make $12$ : $4\textsf{,}$ $8\textsf{,}$ $12\textsf{.}$

Practice playeasy

What is the next prime number after $3$ ?

The next prime after $3$ is $5$ .

Practice playeasy

Which property is $3 + (6 + 2) = (3 + 6) + 2$ ?

$3 + (6 + 2) = (3 + 6) + 2$ shows the grouping of the addition does not change the answer, so the expressions are equal in value. This is the associative property.