Common Core math standards, K–5
Each standard in plain English (not the official wording), with the free lessons that practice it. A few are hands-on, like building shapes with blocks, and are best done away from a screen.
Kindergarten
- K.CC.A.1Count to 100 by ones and tensWhat comes next?
- K.CC.A.2Count forward from any numberWhat comes next?
- K.CC.A.3Write numbers 0–20 for a count of objectsHow many?
- K.CC.B.4Count objects one by one; the last number is how manyHow many? · Ten frames
- K.CC.B.5Count up to 20 objects to answer "how many?"How many?
- K.CC.C.6Compare two groups of objects (more, fewer, same)More or fewer?
- K.CC.C.7Compare two numbers 1–10Bigger or smaller?
- K.OA.A.1Show adding and taking away with objects, fingers, drawingsAdd & take away pictures
- K.OA.A.2Add/subtract story problems within 10Add & take away pictures · Add & subtract stories
- K.OA.A.3Break numbers up to 10 into pairs (5 = 2 + 3)Make 10
- K.OA.A.4Find the number that makes 10Make 10
- K.OA.A.5Add and subtract within 5 fluentlyAdd within 10 · Take away within 10
- K.NBT.A.1Teen numbers are ten ones and some more onesTeen numbers
- K.MD.A.1Describe measurable attributes (length, weight)Hands-on: best with real objects
- K.MD.A.2Compare two objects (longer, heavier)Longer or shorter?
- K.MD.B.3Sort objects into categories and count themSort and count
- K.G.A.1Positions: above, below, beside, in front, behindWhere is it?
- K.G.A.2Name shapes, any size or directionName the shape
- K.G.A.3Flat (2D) vs solid (3D) shapesFlat or solid?
- K.G.B.4Compare shapes (sides, corners)Sides and corners
- K.G.B.5Build and draw shapesHands-on: best with real objects
- K.G.B.6Put small shapes together into bigger onesHands-on: best with real objects
1st grade
- 1.OA.A.1Add/subtract story problems within 20, unknown in any positionAdd & subtract stories · Mystery number stories
- 1.OA.A.2Story problems adding three numbers (sum ≤ 20)Three-number stories
- 1.OA.B.3Use properties (3 + 8 = 8 + 3; make a ten first)Turn-around and make-ten
- 1.OA.B.4Subtraction as a missing addend (10 − 8 as 8 + ? = 10)Missing numbers
- 1.OA.C.5Counting on to add and subtractAdd within 20
- 1.OA.C.6Add and subtract within 20 (fluent within 10)Add within 20 · Subtract within 20
- 1.OA.D.7Meaning of =; is the equation true or false?True or false?
- 1.OA.D.8Find the unknown in any position (8 + ? = 11)Missing numbers
- 1.NBT.A.1Count, read, and write to 120What comes next? · Base-ten blocks
- 1.NBT.B.2Two-digit numbers are tens and onesBase-ten blocks · Place value
- 1.NBT.B.3Compare two-digit numbers with >, =, <Compare numbers
- 1.NBT.C.4Add within 100 (2-digit + 1-digit, + multiples of 10)Add & subtract tens · 2-digit addition
- 1.NBT.C.510 more / 10 less in your head10 more, 10 less
- 1.NBT.C.6Subtract multiples of 10 (70 − 30)Add & subtract tens
- 1.MD.A.1Order three objects by lengthLonger or shorter?
- 1.MD.A.2Measure length in units (laid end to end)Measure with cubes · Measure with a ruler
- 1.MD.B.3Tell time to the hour and half hourTell time
- 1.MD.C.4Read data in up to 3 categoriesPicture graphs
- 1.G.A.1Defining attributes of shapes (sides vs color)What makes a shape?
- 1.G.A.2Put shapes together into new shapesHands-on: best with real objects
- 1.G.A.3Halves and fourths of circles and rectanglesHalves, thirds, fourths
2nd grade
- 2.OA.A.1One- and two-step story problems within 100Add & subtract stories · Two-step stories
- 2.OA.B.2Add and subtract within 20 from memoryAdd within 20 · Subtract within 20
- 2.OA.C.3Odd and even (up to 20)Even & odd
- 2.OA.C.4Arrays as repeated addition (up to 5 × 5)Arrays
- 2.NBT.A.1Three-digit place value (hundreds, tens, ones)Place value · Base-ten blocks
- 2.NBT.A.2Count within 1000; skip-count by 5s, 10s, 100sSkip counting
- 2.NBT.A.3Read and write numbers to 1000 (words, expanded form)Expanded form · Number names · Write numbers in words
- 2.NBT.A.4Compare three-digit numbersCompare numbers · Order numbers
- 2.NBT.B.5Add and subtract within 100 fluently2-digit addition · 2-digit subtraction
- 2.NBT.B.6Add up to four two-digit numbersAdd up to four numbers
- 2.NBT.B.7Add and subtract within 10003-digit addition · 3-digit subtraction
- 2.NBT.B.8Add or subtract 10 or 100 in your head10 more, 10 less
- 2.NBT.B.9Explain why strategies workHands-on: best with real objects
- 2.MD.A.1Measure length with a rulerMeasure with a ruler
- 2.MD.A.2Measure with two different unitsMeasure with two units
- 2.MD.A.3Estimate lengthsEstimate lengths
- 2.MD.A.4How much longer is one object?How much longer?
- 2.MD.B.5Length story problemsLength stories
- 2.MD.B.6Whole numbers on a number lineNumber lines
- 2.MD.C.7Time to 5 minutes; a.m. and p.m.Tell time · a.m. or p.m.?
- 2.MD.C.8Money: coins and bills, $ and ¢Count coins · Make the amount · Money stories
- 2.MD.D.9Line plots of lengthsLine plots
- 2.MD.D.10Picture graphs and bar graphs (up to 4 categories)Bar graphs
- 2.G.A.1Triangles, quadrilaterals, pentagons, hexagons, cubesDraw shapes · Sides and corners · Name the shape
- 2.G.A.2Split a rectangle into rows and columns of squaresRows and columns
- 2.G.A.3Halves, thirds, fourths of shapesHalves, thirds, fourths · Name the fraction
3rd grade
- 3.OA.A.1Multiplication as equal groupsArrays and multiplying
- 3.OA.A.2Division as sharing / groupingSharing equally
- 3.OA.A.3Multiplication and division story problems within 100Multiply & divide stories
- 3.OA.A.4Unknown in a multiply/divide equation (8 × ? = 48)Missing factors
- 3.OA.B.5Properties (commutative, associative, distributive)Times-table tricks
- 3.OA.B.6Division as a missing factorDivision facts · Missing factors
- 3.OA.C.7Multiply and divide within 100 fluentlyMultiplication facts · Division facts
- 3.OA.D.8Two-step story problems, all four operationsTwo-step stories (× ÷ + −)
- 3.OA.D.9Number patternsPatterns in the tables
- 3.NBT.A.1Round to the nearest 10 or 100Rounding
- 3.NBT.A.2Add and subtract within 1000 fluently3-digit addition · 3-digit subtraction
- 3.NBT.A.3Multiply by multiples of 10 (9 × 80)Multiply by tens
- 3.NF.A.1Unit fractions and a/bName the fraction
- 3.NF.A.2Fractions on a number lineFractions on a number line
- 3.NF.A.3Equivalent fractions; compare fractionsCompare fractions · Put fractions in order · Equivalent fractions
- 3.MD.A.1Time to the minute; elapsed timeElapsed time
- 3.MD.A.2Liquid volume and mass (L, g, kg)Scales and jugs · Grams & liters stories
- 3.MD.B.3Scaled picture and bar graphsScaled graphs
- 3.MD.B.4Measure to ½ and ¼ inch; line plotsMeasure with a ruler · Line plots with fractions
- 3.MD.C.5Area as unit squaresCount square units
- 3.MD.C.6Find area by counting unit squaresCount square units
- 3.MD.C.7Area and multiplication (tiling, side lengths, splitting shapes)Area of rectangles · Area of L-shapes · Times-table tricks
- 3.MD.D.8Perimeter problems (including a missing side)Perimeter
- 3.G.A.1Kinds of quadrilaterals (rhombus, rectangle, square)Kinds of quadrilaterals
- 3.G.A.2Split shapes into equal parts as unit fractionsName the fraction
4th grade
- 4.OA.A.1Multiplication as comparison ("5 times as many")Times-as-many stories
- 4.OA.A.2Comparison story problemsTimes-as-many stories
- 4.OA.A.3Multi-step story problems, interpreting remaindersRemainder stories
- 4.OA.B.4Factors, multiples, prime and compositeFactors & primes
- 4.OA.C.5Patterns that follow a ruleNumber patterns
- 4.NBT.A.1A digit is worth 10 times the place to its rightEach place is 10 times
- 4.NBT.A.2Read and write big numbers (words, expanded form); compareNumber names · Expanded form · Compare numbers
- 4.NBT.A.3Round to any placeRound big numbers
- 4.NBT.B.4Add and subtract multi-digit numbersBig-number addition · Big-number subtraction
- 4.NBT.B.5Multiply up to 4-digit × 1-digit and 2-digit × 2-digitMultiply bigger numbers · Multiply 2-digit by 1-digit
- 4.NBT.B.6Divide up to 4-digit ÷ 1-digit, with remaindersDivide by one digit · Division with remainders
- 4.NF.A.1Equivalent fractionsEquivalent fractions
- 4.NF.A.2Compare fractions with different numerators and denominatorsCompare any fractions · Put fractions in order
- 4.NF.B.3Add/subtract fractions with like denominators; mixed numbersAdd & subtract fractions · Fraction stories (+ and −)
- 4.NF.B.4Multiply a fraction by a whole numberFraction × whole number · Fraction × whole number stories
- 4.NF.C.5Tenths as hundredths (3/10 + 4/100)Tenths & hundredths
- 4.NF.C.6Decimals for tenths and hundredthsTenths & hundredths · Decimals on a number line
- 4.NF.C.7Compare decimals to hundredthsCompare decimals
- 4.MD.A.1Convert units within a system (km/m/cm, kg/g, lb/oz, hr/min)Convert units
- 4.MD.A.2Measurement story problems (distance, time, volume, mass, money)Measurement stories · Count bills and coins · Make change
- 4.MD.A.3Area and perimeter formulasArea of rectangles · Perimeter · Find the missing side
- 4.MD.B.4Line plots with fractionsLine plots with fractions
- 4.MD.C.5Angles and degreesAngles and turns
- 4.MD.C.6Measure angles with a protractorMeasure angles
- 4.MD.C.7Adding angles; find a missing angleMissing angles
- 4.G.A.1Points, lines, rays, angle types, parallel and perpendicularLines, rays, segments · Kinds of angles
- 4.G.A.2Classify shapes by their lines and anglesRight angles & parallel sides
- 4.G.A.3Lines of symmetryLines of symmetry
5th grade
- 5.OA.A.1Parentheses and brackets; evaluate expressionsOrder of operations
- 5.OA.A.2Write and read simple expressionsWrite expressions
- 5.OA.B.3Two number patterns; ordered pairsTwo patterns, paired
- 5.NBT.A.1Place value: 10 times and 1/10 of10 times and 1/10
- 5.NBT.A.2Powers of 10 and exponents; moving the decimal pointPowers of 10
- 5.NBT.A.3Read, write, and compare decimals to thousandthsRead and write decimals · Compare decimals
- 5.NBT.A.4Round decimalsRound decimals
- 5.NBT.B.5Multiply multi-digit numbersMulti-digit multiplication
- 5.NBT.B.6Divide up to 4-digit ÷ 2-digitDivide by two digits · Divide by two digits with remainders
- 5.NBT.B.7Add, subtract, multiply, divide decimals (hundredths)Add decimals · Subtract decimals · Multiply decimals · Divide decimals
- 5.NF.A.1Add/subtract fractions with unlike denominatorsAdd unlike fractions
- 5.NF.A.2Fraction story problems; estimateUnlike fraction stories
- 5.NF.B.3A fraction is a division (3/4 = 3 ÷ 4)Fractions as sharing
- 5.NF.B.4Multiply fractionsMultiply fractions
- 5.NF.B.5Multiplying as resizingMultiplying as resizing
- 5.NF.B.6Fraction multiplication story problemsMultiplying fraction stories
- 5.NF.B.7Divide unit fractions and whole numbersDivide unit fractions · Dividing fraction stories
- 5.MD.A.1Convert units, multi-stepConvert units · Unit conversion stories
- 5.MD.B.2Line plots with fractionsLine plots with fractions
- 5.MD.C.3Volume as unit cubesCount the cubes
- 5.MD.C.4Find volume by counting cubesCount the cubes
- 5.MD.C.5Volume formulas (l × w × h)Volume of boxes
- 5.G.A.1The coordinate planeCoordinate grid
- 5.G.A.2Graph points to solve problemsMaps and coordinates
- 5.G.B.3Shape categories share attributes (a square is a rectangle)Shape families
- 5.G.B.4Classify shapes in a hierarchyShape families · Kinds of quadrilaterals