NM-MSSA Grades 3, 4, 5 Number & Operations—Fractions. Practice it free.

Concepts & Procedures reporting category (grades 3-5). Number and Operations—Fractions: fractions as numbers, equivalence and ordering, fraction operations, and decimal notation for fractions. NM-MSSA core-point share: grade 3 ~12-19%, grade 4 ~30-37%, grade 5 ~22-29%. This Grades 3, 4, 5 reporting domain maps to 2 practice skills and 8 representative questions from the playable bank.

Grades 3, 4, 5Number & Operations—Fractions2 mapped skills
What the test measures

Number & Operations—Fractions skills

  1. Develop understanding of fractions as numbers

  2. Extend understanding of fraction equivalence and ordering

  3. Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers

  4. Understand decimal notation for fractions, and compare decimal fractions

  5. Use equivalent fractions as a strategy to add and subtract fractions

  6. Apply and extend previous understandings of multiplication and division to multiply and divide fractions

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%.

Practice by skill

Topics mapped to this domain

Adding and subtracting fractions

Grade 5210 questions

Fraction equivalence and simplification

Grade 4217 questions
Try it now

8 free questions · 0/0 correct

Practice playeasy

What is 67−27\dfrac{6}{7} - \dfrac{2}{7}?

Same denominator: 6−27\dfrac{6 - 2}{7}. Result: 47\dfrac{4}{7}.

Practice playeasy

Which fraction is equivalent to 23\dfrac{2}{3}?

Multiply both parts of 23\dfrac{2}{3} by 4: 812\dfrac{8}{12}.

Practice playeasy

What is 68+48\dfrac{6}{8} + \dfrac{4}{8}?

68+48=54\dfrac{6}{8} + \dfrac{4}{8} = \dfrac{5}{4}.

Practice playeasy

Fill in: 15=□25\dfrac{1}{5} = \dfrac{\square}{25}.

Multiply numerator and denominator by 5: 1×55×5=525\dfrac{1 \times 5}{5 \times 5} = \dfrac{5}{25}.

Practice playeasy

What is 58−38\dfrac{5}{8} - \dfrac{3}{8}?

Same denominator: 5−38\dfrac{5 - 3}{8}. Result: 14\dfrac{1}{4}.

Practice playeasy

Simplify 2032\dfrac{20}{32} to lowest terms.

GCF of 20 and 32 is 4: 20÷432÷4=58\dfrac{20 \div 4}{32 \div 4} = \dfrac{5}{8}.

Practice playeasy

What is 36+23\dfrac{3}{6} + \dfrac{2}{3}?

LCD is 6: 36+46=76\dfrac{3}{6} + \dfrac{4}{6} = \dfrac{7}{6}.

Practice playeasy

Find the equivalent fraction: 57=?28\dfrac{5}{7} = \dfrac{?}{28}.

Multiply top and bottom by 4: 5×47×4=2028\dfrac{5 \times 4}{7 \times 4} = \dfrac{20}{28}.

Keep practicing

Turn number & operations—fractions into game time.

The NM-MSSA placement starts with this test's real coverage map and finds the right difficulty.

Sprout RowPlay →Horseshoe Toss game coverHorseshoe TossPlay →
Related Common Core standards
5.NF.A.14.NF.A.1
Source and test overview
All NM-MSSA prepOfficial test source
Reporting categories

More Grades 3, 4, 5 domains

Operations & Algebraic ThinkingConcepts & Procedures reporting category (grades 3-5). Operations and Algebraic Thinking: representing and solving problems with the four operations, properties of operations, multiplication/division fluency, factors and multiples, and analyzing patterns. NM-MSSA core-point share: grade 3 ~32-39%, grade 4 ~18-25%, grade 5 ~8-15% (Concepts & Procedures subtotal).8 QsPractice →Number & Operations in Base TenConcepts & Procedures reporting category (grades 3-5). Number and Operations in Base Ten: place-value understanding and multi-digit arithmetic, extended in grade 5 to decimals. NM-MSSA core-point share: grade 3 ~8-15%, grade 4 ~18-25%, grade 5 ~22-29%.8 QsPractice →Measurement & DataConcepts & Procedures reporting category (grades 3-5). Measurement and Data: measurement problems and unit conversion, representing and interpreting data, and geometric measurement (area, perimeter, angle, volume). NM-MSSA core-point share: grade 3 ~24-31%, grade 4 ~10-17%, grade 5 ~22-29%.8 QsPractice →GeometryConcepts & Procedures reporting category (grades 3-5). Geometry: reasoning with shapes and their attributes, lines and angles, the coordinate plane, and classifying two-dimensional figures. NM-MSSA core-point share: grade 3 ~4-11%, grade 4 ~4-11%, grade 5 ~6-13%.8 QsPractice →