1
Explain larger operations
Multi-digit multiplication, long division, factors, and primes anchor the number work for Grade 4.
Full 4th Grade Math
Knowledge Points & Study Guide
The full 4th Grade Common Core knowledge-point list. Free printable practice, downloadable PDF checklist, and Socratic missions β covering every CCSS standard for this grade.
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Handbook Learning Route
Use this handbook to cover the full 4th Grade skill map
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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2
Connect fractions and decimals
Fraction comparison, fraction operations, and decimal notation become related representations.
3
Measure and classify
Angles, angle sums, geometry, symmetry, and unit conversion turn visual reasoning into precise language.
4th Grade Knowledge Points
13 Topics Β· Common Core Aligned- β01
Adding Fractions (Same Denominator)
4.NF.B.3Add and subtract fractions with like denominators, including mixed numbers, by joining and separating parts referring to the same whole.
Like Denominator Mixed Number Improper Fraction Whole - π02
Measuring Angles (Protractor)
4.MD.C.6Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure.
Degree Protractor Vertex Ray Right Angle - β03
Angle Addition & Unknown Angles
4.MD.C.7Recognize angle measure as additive. Solve addition and subtraction problems to find unknown angles.
Decomposed Angle Unknown Angle Adjacent Angles Sum - βοΈ04
Compare Fractions (Unlike Denominators)
4.NF.A.2Compare two fractions with different numerators and different denominators by creating common denominators or by comparing to a benchmark fraction.
Common Denominator Benchmark Cross-Multiply Equivalent - π’05
Decimal Fractions (10ths & 100ths)
4.NF.C.6Use decimal notation for fractions with denominators 10 or 100.
Tenths Hundredths Decimal Point Place Value - π§©06
Factors & Multiples
4.OA.B.4Find all factor pairs for a whole number in the range 1-100. Recognize that a whole number is a multiple of each of its factors.
Factor Multiple Factor Pair Divisor - π07
Geometry: Lines & Symmetry
4.G.A.1Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines.
Parallel Perpendicular Symmetry Right Angle Line of Symmetry - β08
Long Division & Remainders
4.NBT.B.6Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value.
Dividend Divisor Quotient Remainder Place Value - βοΈ09
Multi-Digit Multiplication
4.NBT.B.5Multiply a whole number of up to four digits by a one-digit number, and multiply two two-digit numbers, using strategies based on place value.
Partial Product Area Model Standard Algorithm Place Value - βοΈ10
Multiply Fraction by Whole
4.NF.B.4Multiply a fraction by a whole number, e.g., understand 3 Γ (1/4) as 3 copies of 1/4.
Unit Fraction Whole Number Repeated Addition Numerator - π’11
Prime vs Composite Numbers
4.OA.B.4Determine whether a given whole number in the range 1-100 is prime or composite.
Prime Composite Factor Divisor 1 is special - πͺ12
Lines of Symmetry
4.G.A.3Recognize a line of symmetry for a two-dimensional figure as a line such that the figure folded along it has matching halves; identify line-symmetric figures and draw their lines of symmetry.
line of symmetry reflect mirror congruent axis - π13
Unit Conversion (Within System)
4.MD.A.1Know relative sizes of measurement units within one system; convert from a larger unit to a smaller unit.
Unit Conversion Factor Bigger Unit Smaller Unit
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