4th Grade Math Games Online Free — Long Division | Inquiry AI

Free 4th grade math games online — no login or paywall. Drill multi-digit multiplication, long division, factors, primes and fractions for CCSS Grade 4.

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Curriculum Overview

Grade 4 deepens arithmetic and introduces number theory. Students learn the standard multi-digit multiplication and long-division algorithms via the area model and place-value sharing, find factor pairs and classify numbers as prime or composite, work with like-denominator fractions and mixed numbers, translate decimals to/from fractions, and measure and compose angles with a protractor. All 4th grade games run free online — no Flash, no downloads, and no accounts to manage.

Multi-DigitLong DivisionFactorsPrimesMixed NumbersDecimalsAnglesSymmetry

Grade Mastery Map

What 4th Grade students should understand by the end of the year

Grade 4 should turn procedures into explainable strategies. Students extend multi-digit multiplication and long division, analyze factors and primes, compare fractions, connect fractions to decimals, and measure angles, symmetry, and unit conversions.

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Mastery Goals

  • Multiply and divide multi-digit numbers with place-value explanations.
  • Use factors, multiples, and primes to reason about number structure.
  • Compare, add, and multiply fractions while connecting them to decimal notation.
  • Measure angles, classify geometry, use symmetry, and convert units with clear models.

Problems This Page Solves

Long division becomes a recipe

Stepper-style missions expose each estimate, subtraction, and remainder so the algorithm is explainable.

Fractions are compared by surface clues

Students reason about denominators, common units, and equivalent values instead of choosing the larger-looking number.

Geometry vocabulary stays disconnected

Angle and symmetry missions attach terms to actions students perform, not just definitions they read.

Recommended Learning Route

Start with the concepts that unlock the rest of 4th Grade

Open full handbook →

Addfractions

Adding Fractions (Same Denominator)

30 Missions

Angles

Measuring Angles (Protractor)

30 Missions

Anglesum

Angle Addition & Unknown Angles

30 Missions

Comparefractions

Compare Fractions (Unlike Denominators)

30 Missions

Decimals

Decimal Fractions (10ths & 100ths)

30 Missions

Factors

Factors & Multiples

30 Missions

Geometry

Lines & Symmetry

30 Missions

Lines of Symmetry

30 Missions

Longdivision

Long Division & Remainders

30 Missions

Multidigitmult

Multi-Digit Multiplication

30 Missions

Multiplyfractions

Multiply Fraction by Whole

30 Missions

Primes

Prime vs Composite Numbers

30 Missions

Unitconversion

Unit Conversion (Within System)

30 Missions

Learning Standards Alignment

  • CCSS.MATH.CONTENT.4.NBT.B.5: Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers.
  • CCSS.MATH.CONTENT.4.NBT.B.6: Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors.
  • CCSS.MATH.CONTENT.4.OA.B.4: Find all factor pairs for a whole number 1-100; determine whether prime or composite.
  • CCSS.MATH.CONTENT.4.NF.A.2: Compare two fractions with different numerators and different denominators.
  • CCSS.MATH.CONTENT.4.NF.B.3: Add and subtract fractions with like denominators, including mixed numbers.
  • CCSS.MATH.CONTENT.4.NF.B.4: Multiply a fraction by a whole number.
  • CCSS.MATH.CONTENT.4.NF.C.6: Use decimal notation for fractions with denominators 10 or 100.
  • CCSS.MATH.CONTENT.4.MD.C.6: Measure angles in whole-number degrees using a protractor.
  • CCSS.MATH.CONTENT.4.MD.C.7: Recognize angle measure as additive; solve for unknown angles.
  • CCSS.MATH.CONTENT.4.G.A.1: Draw and identify lines, angles, parallel and perpendicular lines.
  • CCSS.MATH.CONTENT.4.MD.A.1: Convert measurements within a single system.

Missions are designed to meet and exceed CCSS requirements for 4th Grade.

FAQ

Common Questions

Everything you need to know about the Socratic experience.

01 Why so much algorithm work in Grade 4?

Grade 4 is when arithmetic becomes *strategic*. We teach the area model first so the standard algorithm feels like a shortcut, not a magic trick.

02 How do you make factors and primes feel concrete?

We use the rectangle test: every rectangle a child can build with N tiles is a factor pair. Primes are the numbers that only fit in 1×N strips.

03 What is inquiry-based learning, and how does Inquiry AI apply it?

Inquiry-based learning starts with a question, not a formula — students explore, hypothesize, and verify before being told the rule. In Inquiry AI, every mission opens with a "Discovery" step (manipulate the model), then "Abstraction" (write the equation), then "Reflect" (apply to a new case). The procedure is never given upfront; learners derive it from their own observations.

04 How is Guided Discovery Learning different from "just letting kids figure it out"?

Pure discovery is inefficient — kids hit a wall and quit. Guided Discovery scaffolds the path: a careful sequence of questions, models, and adaptive hints leads the learner toward the insight without revealing it. Inquiry AI's hint system fires automatically after ~15s of hesitation or on the first mistake, escalating from a Socratic nudge to a worked example only when needed. Mistakes are diagnosed via "misconception keys" so the hint matches the actual wrong-thinking pattern.