Common Core State Standards for Mathematics (CCSS-M) — Vermont
VTCAP Grade 3 Number and Operations in Base Ten. Practice it free.
Grade 3 Number and Operations in Base Ten standards; reported jointly with fractions as the 'Number and Operations in Base Ten, Numbers and Operations – Fractions' performance indicator. Blueprint target: 5-7 points (10-14% of the grade 3 test). This Grade 3 reporting domain maps to 3 practice skills and 8 representative questions from the playable bank.
What the test measuresStandards basis How the VTCAP reports it Blueprint & weighting Official sources
Number and Operations in Base Ten skills
Use place value understanding and properties of operations to perform multi-digit arithmetic
Vermont administered the Smarter Balanced summative through spring 2022, then replaced it with the Cognia-developed Vermont Comprehensive Assessment Program (VTCAP) beginning spring 2023 — this landing slug predates the switch. VTCAP mathematics is an adaptive, CCSS-M-aligned assessment in grades 3-9. It is NOT a Smarter Balanced administration: its reporting categories are groupings of the CCSS grade-level domains (e.g. 'The Number System, Expressions and Equations'), not SBAC claims, though two cross-grade Mathematical Practices indicators ('Problem Solving, Reasoning, and Argument'; 'Modeling, Patterns, and Structure') echo the old claim structure. Per the test specifications, the grades 3-8 test may assess any CCSS-M standard at the grade; the grade 9 test assesses a prioritized subset of the high school CCSS-M within the conceptual categories of Number and Quantity, Algebra, Functions, Geometry, and Statistics and Probability (the assessed focus areas are published in the grade 9 Performance Level Descriptors).
VTCAP Test Specifications (Spring 2026) operational test blueprint, target percent of points per grade — Grade 3: OA 24-35%, NBT 10-14%, NF 16-20%, MD 22-29%, G 6-10%, constructed-response Mathematical Practices 12%. Grade 4: OA 20-31%, NBT 16-20%, NF 20-31%, MD 12-20%, G 6-10%, practices 12%. Grade 5: OA 14-22%, NBT 14-25%, NF 22-29%, MD 20-27%, G 8-16%, practices 12%. Grade 6: RP 15-22%, NS 15-22%, EE 15-22%, G 11-19%, SP 11-19%, practices 11%. Grade 7: RP 15-22%, NS 11%, EE 15-30%, G 11-19%, SP 19-22%, practices 11%. Grade 8: F 18-29%, NS 7%, EE 20-31%, G 18-29%, SP 18-22%, practices 11%. Grade 9 (all machine-scored): Number and Quantity/Algebra 18-27%, Algebra/Functions 31-40%, Geometry 20-29%, Statistics and Probability 13-20%; the two practices indicators are dual-aligned targets of >18% of points each. Identical figures appear in the Spring 2025 specifications.
VTCAP Test Specifications, Spring 2026 (Vermont AOE / Cognia)
VTCAP Test Specifications, Spring 2025 (Vermont AOE / Cognia)
VTCAP Performance Level Descriptors: Mathematics, Grades 3-9 (Vermont AOE)
Practice by skill
Topics mapped to this domain
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8 free questions · 0/0 correct
What is ?
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Round to the nearest hundred.
The digit one place to the right is , so round up: .
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What is ?
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Round to the nearest ten.
The digit one place to the right is , so round down: .
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What is ?
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Keep practicing
Turn number and operations in base ten into game time.
The VTCAP placement starts with this test's real coverage map and finds the right difficulty.
Number and Operations in Base Ten in other VTCAP grades
Source and test overview
Reporting categories
More Grade 3 domains
Operations and Algebraic ThinkingGrade 3 Operations and Algebraic Thinking standards (the test may assess any CCSS-M standard at the grade); reported as the 'Operations and Algebraic Thinking' performance indicator. Blueprint target: 12-18 points (24-35% of the grade 3 test).8 QsPractice →Measurement and DataGrade 3 Measurement and Data standards; reported jointly with geometry as the 'Measurement and Data, Geometry' performance indicator. Blueprint target: 11-15 points (22-29% of the grade 3 test).8 QsPractice →