← The tree Where do I start? Massachusetts standards By Grade
Under five goes by age. From kindergarten on, here is the ColorMyMath ladder by school grade,
matched to the Massachusetts Curriculum Framework for Mathematics (2017) .
The order is ColorMyMath's, because it teaches the basics better: picture first, every direction both ways, speed last.
Where it runs ahead of the state, a step says so and its standard is marked in black.
Under each grade are the rest of that grade's Massachusetts standards, each with the game that teaches it.
3–4 Before kindergarten ages 3 to 4 Under five goes by age, not grade. Counting to ten, one more and one less, making 2 to 5 and bigger or smaller: Massachusetts puts these in kindergarten; ColorMyMath starts them at three, with the picture first.
Play in this order Steps 1–6a of the ColorMyMath ladder
Step 1 Adding 1 up to 5: counting to 5 One More, One Less Step 2 Subtracting 1 from 5 to 0: counting back from 5 Subtraction Step 3 Making 2, 3, 4: 1+1, 1+2, 2+2, 3+1 Five and Under Step 4 Adding 1: counting to 10 Counting to 10 Step 5 Making 5: 4+1, 3+2 Five and Under Step 6 Subtracting 1: counting back from 10 I Can Step 6a Bigger and smaller Line Them Up
K KindergartenTen is a triangle. Get a buddy to make ten, prove it, count past ten to fifteen and back, double one to five.
Play in this order Steps 7–11 of the ColorMyMath ladder
Step 7 Making 10 — Get a Buddy: 5+5, 6+4, 7+3, 8+2, 9+1 Making 10 Step 8 Proving the making of 10 Every Way to Make 10 Step 9 Adding 1: counting to 15 Count On, Count Back Step 10 Doubling 1-5 to make 2, 4, 6, 8, 10 Doubles Step 11 Subtracting 1: counting back from 15 Count On, Count Back
The rest of the kindergarten standards 5 of 22 are in the steps above, 6 more in another grade's steps
K.CC.A.1 Count to 100 by ones and by tens ColorMyMath teaches it earlier, before kindergarten Counting to 10 Count On, Count Back Every Number K.CC.A.3 Write numbers 0 to 20 Write the Numbers K.CC.B.4 Numbers and quantities: one number per object, the last number said is how many, each next number is one more ColorMyMath teaches it earlier, before kindergarten One More, One Less Subtraction Counting to 10 K.CC.B.6 Tell whether one group is greater than, less than or equal to another ColorMyMath teaches it earlier, before kindergarten Line Them Up Bigger by Shape Bigger / Smaller K.CC.B.7 Compare two written numbers between 1 and 10 ColorMyMath teaches it earlier, before kindergarten Line Them Up Bigger by Shape K.G.A.1 Name shapes and say where they are: above, below, beside, next to, in front of, behind Shape Builder K.G.A.2 Name shapes whatever their size or which way they are turned Shapes K.G.A.3 Sort shapes into flat and solid Shape Builder K.G.B.4 Count and compare the sides and corners of shapes Shapes K.G.B.5 Build shapes from sticks and clay balls Shape Builder K.G.B.6 Join two shapes to make a bigger one, and cut a shape into two Shape Builder K.MD.A.1 What you can measure on one thing: how long, how heavy, how much it holds Shape Builder K.MD.A.2 Compare two objects by length: which is longer or shorter, and by how much Measure It K.MD.B.3 Sort objects into groups, count each group, and order the groups by how many Sort and Count K.OA.A.1 Show addition and subtraction with objects, fingers, drawings, sounds and actions ColorMyMath teaches it earlier, before kindergarten One More, One Less Subtraction I Can K.OA.A.2 Add and take away word problems within 10 Story Problems K.OA.A.5 Add and subtract within 5 fluently ColorMyMath teaches it earlier, before kindergarten One More, One Less Subtraction Five and Under
1 Grade 1Count by 1s, 2s, 5s and 10s past a hundred, then every hard fact within twenty: doubles, Jump Down to the ten, Climb back up, and Proving.
Play in this order Steps 12–48 of the ColorMyMath ladder
Step 12 Adding 2: counting by 2s to 10 Count On, Count Back Steps 13–14 Counting to 20 Adding 1 · Subtracting 1 Step 15 Making 7 and 8: 4+3, 5+3 Crash the Dots Steps 16–17 Count On, Count Back Adding 1 · Subtracting 1 Step 18 Making 9: 5+4, 6+3 Crash the Dots Step 19 Subtracting 2: counting down by 2s from 10 Count On, Count Back Step 20 Adding 2: counting by 2s to 20 Count On, Count Back Step 21 Adding 1: counting to 30 Count On, Count Back Step 22 Subtracting 2: counting down by 2s from 20 Count On, Count Back Step 23 Adding 10: counting to 100 by 10s Count On, Count Back Step 24 Adding 5: counting to 50 by 5s Count On, Count Back 2.NBT.A.2 ahead: Massachusetts has this in grade 2 Step 25 Adding 1: counting to 100 Count On, Count Back Step 26 Adding 1: counting to 115 Count On, Count Back Step 27 Adding 1: counting to 125 Count On, Count Back Step 28 Adding 5: counting to 125 by 5s Count On, Count Back 2.NBT.A.2 ahead: Massachusetts has this in grade 2 Step 29 Adding 10: counting to 150 by 10s Count On, Count Back Step 30 Doubling 6-10 to make 12, 14, 16, 18, 20 Doubles Step 31 Proving the doubles — Buddy? Mark the ten down Proving Steps 32–33 Which Way? Subtraction of doubles · Proving doubles subtraction Steps 34–38 Jump Down Steps 39–43 Climb Steps 44–48 Proving
The rest of the grade 1 standards 9 of 22 are in the steps above, 1 more in another grade's steps
1.G.A.1 What makes a shape a shape (closed, straight sides) and what doesn't matter (turn, size); build shapes Shapes 1.G.A.2 Build shapes and solids from smaller ones, then bigger shapes from those Shape Builder 1.G.A.3 Halves and quarters of circles and rectangles; more equal parts means smaller parts Equal Parts 1.MD.A.1 Put three objects in order by length; compare two lengths through a third Measure It 1.MD.A.2 Length as same-size units laid end to end, no gaps and no overlaps Measure It 1.MD.A.3 Tell the time in hours and half-hours on a clock with hands Annie's Clock All the Clocks 1.MD.C.4 Organize data in up to three groups: how many in all, in each, and how many more or fewer Sort and Count 1.MD.C.5 Know the coins and what each is worth: a dime is worth more than a nickel Coins 1.NBT.A.3 Compare two-digit numbers with >, = and < More or Less? 1.NBT.C.4 Add within 100 using place value; sometimes a ten is made ColorMyMath teaches it later, in grade 2 Place by Place Every Ten Is a Ledge 1.NBT.C.6 Subtract multiples of 10 from multiples of 10 Tens Up and Down 1.OA.A.1 Word problems within 20: adding to, taking from, putting together, comparing, with the unknown anywhere Story Problems Jump and Climb Stories 1.OA.A.2 Word problems with three numbers that add to 20 or less Story Problems
2 Grade 2Two- and three-digit adding and taking away, place by place, carrying and borrowing, and the buddies of a hundred.
Play in this order Steps 49–58 of the ColorMyMath ladder
Steps 49–56 Place by Place Two-digit addition with easy facts · Two-digit subtraction with easy facts · Three-digit addition with easy facts · Three-digit subtraction with easy facts · Two-digit addition with hard facts · Three-digit addition with hard facts · Two-digit subtraction with hard facts · Three-digit subtraction with hard facts Steps 57–58 Buddies of 100 Complements of 100
The rest of the grade 2 standards 4 of 26 are in the steps above, 4 more in another grade's steps
2.G.A.1 Draw shapes with a given number of sides or angles: triangles, quadrilaterals, pentagons, hexagons Shapes 2.G.A.2 Cut a rectangle into rows and columns of same-size squares and count them Fence and Field 2.G.A.3 Halves, thirds and fourths; equal shares don't have to be the same shape Equal Parts 2.MD.A.1 Measure length with a ruler Measure It 2.MD.A.2 Measure one thing with two sizes of unit: the bigger unit gives the smaller number Measure It 2.MD.A.3 Estimate lengths in inches, feet, centimeters and meters Time, Liters and Grams 2.MD.A.4 How much longer one object is than another Measure It 2.MD.B.5 Length word problems within 100 on a ruler, with ? for the unknown Time, Liters and Grams 2.MD.B.6 Whole numbers as lengths from 0 on a number line Measure It 2.MD.B.7 Tell the time to the nearest five minutes on a clock with hands Quantitative Clock All the Clocks 2.MD.B.8 Money: dollar bills, quarters, dimes, nickels and pennies, written with $ and ¢ Coins 2.MD.D.9 Measure things to the whole unit and show the lengths on a line plot Line Plot 2.MD.D.10 Picture graphs and bar graphs for up to four groups; put together, take apart and compare Dot Graphs 2.NBT.A.1 Hundreds, tens and ones in a three-digit number Build the Number 2.NBT.A.2 Count within 1000; skip-count by 5s, 10s and 100s ColorMyMath teaches it earlier, in grade 1 Count On, Count Back Number Paths: by 5s Skip Hop: Missing 2.NBT.A.3 Read and write three-digit numbers: numerals, words, expanded form Build the Number 2.NBT.A.4 Compare three-digit numbers with >, = and < Build the Number 2.NBT.B.6 Add up to four two-digit numbers: gather the tens first, then the ones Factors and Patterns 2.OA.A.1 One- and two-step word problems within 100 Story Problems 2.OA.B.2 Add and subtract within 20 fluently; by the end of grade 2 know every sum of two one-digit numbers and the matching subtraction facts ColorMyMath teaches it earlier, in grade 1 Doubles Which Way? Jump Down 2.OA.C.3 Odd and even: pair objects, count by 2s, write an even number as a double ColorMyMath teaches it earlier, in kindergarten Doubles Count On, Count Back Twins 2.OA.C.4 Count the objects in a rectangular array up to 5 by 5 by adding ColorMyMath teaches it later, in grade 3 Turn the Block
3 Grade 3Multiplying is a rectangle and dividing is the same rectangle cut up: both ways on one block. The squares to 15 × 15.
Play in this order Steps 59–63 of the ColorMyMath ladder
Step 59 Multiplication: Calculating Areas I Turn the Block Step 60 Multiplication II / Division I Slice the Block Steps 61–62 Split the Block Multiplication III / Division II · Division III Step 63 Squares 1 through 15 Build the Square
The rest of the grade 3 standards 7 of 25 are in the steps above, 1 more in another grade's steps
3.G.A.1 Rhombuses, rectangles and squares are quadrilaterals; draw ones that are none of these Shapes 3.G.A.2 Cut shapes into parts of equal area; each part is a unit fraction of the whole Equal Parts 3.MD.A.1 Tell time to the minute; time intervals hopped on a number line Time, Liters and Grams 3.MD.A.2 Liters, grams and kilograms: measure, estimate, one-step problems Time, Liters and Grams 3.MD.B.3 Scaled picture and bar graphs, where one picture stands for several; how many more and fewer Dot Graphs 3.MD.B.4 Measure to the nearest half and quarter and show it on a line plot Line Plot 3.MD.C.6 Measure area by counting unit squares, in small squares and in big squares Cut and Rearrange Tile the Floor 3.MD.D.8 Perimeter: walk the fence, find a missing side, and see the same fence round different fields Fence and Field 3.NBT.A.1 Round to the nearest 10 or 100 Nearest Ten Spot the Slip 3.NBT.A.2 Add and subtract within 1000 fluently ColorMyMath teaches it earlier, in grade 2 Place by Place Biggest First Spot the Slip 3.NBT.A.3 Multiply a one-digit number by a multiple of ten: 9 × 80 is 72 tens Factors and Patterns 3.NF.A.1 A fraction is pieces of one whole cut into equal parts Fraction Strips 3.NF.A.2 Fractions on a number line from 0 to 1 Fraction Strips 3.NF.A.3 Equivalent fractions; comparing fractions; whole numbers as fractions Fraction Strips 3.OA.A.3 Multiplication and division word problems within 100: equal groups and arrays Story Problems Tile the Floor: Box of Tiles 3.OA.A.4 Find the unknown number in a multiplication or division equation (8 x ? = 48) Story Problems 3.OA.D.8 Two-step word problems with all four operations Story Problems 3.OA.D.9 Find and explain patterns in the addition and times tables Factors and Patterns
4 Grade 4The squares to 25 × 25 and the tricks for squares to 110, biggest-first adding, Pythagoras, doubling and the cubes, long multiplication and dividing with no remainder.
Play in this order Steps 64–79 of the ColorMyMath ladder
Step 64 Squares 1 through 20 Squares Adventure Step 65 Squares 1 through 25 Squares Adventure — Part Two Steps 66–67 Squares to 110 Algorithms for the squares of 10, 15, 20 … 55 · Algorithms for the squares of 60, 65 … 110 Steps 68–71 Biggest First Three-digit addition with level one facts · Three-digit subtraction with level one facts · Two-digit addition with level two facts · Two-digit subtraction with level two facts Step 72 Geometry Pythagoras Step 73 Algebra Double It Step 74 Geometry Build the Cube Step 75 One-digit by two-digit multiplication Rows of Tens and Ones Step 76 Two-digit by two-digit multiplication The Multiplication Dance Steps 77–79 Share It Out Division by 2, no remainder · Division by 5, no remainder · General division, no remainder
The rest of the grade 4 standards 4 of 28 are in the steps above, 2 more in another grade's steps
4.G.A.1 Draw and find right, acute and obtuse angles, and perpendicular and parallel lines Shapes 4.G.A.2 Sort shapes by parallel and perpendicular sides and kinds of angle; right triangles Shapes 4.G.A.3 Lines of symmetry: find them and draw the other half Shapes 4.MD.A.1 Sizes of units in one system (1 ft = 12 in, 1 h = 60 min) and conversion tables Unit Multipliers 4.MD.A.2 Word problems with distances and time intervals Unit Multipliers 4.MD.A.3 Area and perimeter of rectangles in real problems, including a missing side Fence and Field 4.MD.B.4 Line plots in halves, quarters and eighths; add and take away the fractions on them Line Plot 4.MD.C.5 An angle is a turn: 360 one-degree turns make a full circle Angles 4.MD.C.6 Read and make angles with a protractor Angles 4.MD.C.7 Angles add: find the whole or the missing part Angles 4.NBT.A.1 A digit is worth ten times as much one place to the left Ten Times Bigger 4.NBT.A.2 Read and write big numbers in numerals, words and expanded form; compare with < = > Ten Times Bigger 4.NBT.A.3 Round whole numbers to any place Ten Times Bigger 4.NF.A.1 Equivalent fractions with smaller pieces Fraction Strips 4.NF.A.2 Compare fractions with different numerators and denominators Fraction Strips 4.NF.B.3 Add and subtract fractions with like denominators Fraction Strips 4.NF.B.4 Multiply a fraction by a whole number Fraction Block 4.NF.C.5 Tenths as hundredths: 3/10 = 30/100, and 3/10 + 4/100 = 34/100 Ten Times Bigger 4.NF.C.6 Write tenths and hundredths as decimals ColorMyMath teaches it later, in grade 5 Share It Out 4.NF.C.7 Compare decimals to hundredths by their size Ten Times Bigger 4.OA.A.1 Read a multiplication as a comparison: 35 = 5 x 7 is 5 times as many as 7 Story Problems 4.OA.A.2 'Times as many' word problems, multiplying or dividing Story Problems 4.OA.A.3 Multi-step word problems where the remainder has to be read the right way Factors and Patterns Leftover Pie 4.OA.B.4 Factors and multiples; prime and composite ColorMyMath teaches it earlier, in grade 3 Build the Square All the Rectangles: Prime?
5 Grade 5Dividing with a remainder made into a fraction, then into a decimal.
Play in this order Steps 80–85 of the ColorMyMath ladder
Steps 80–85 Share It Out Division by 2 with remainder fraction · Division by 5 with remainder fraction · General division with remainder fraction · Division by 2 with decimal · Division by 5 with decimal · General division with decimal
The rest of the grade 5 standards 2 of 26 are in the steps above, 3 more in another grade's steps
5.G.A.1 The coordinate plane: the first number is how far along, the second how far up Dot Map 5.G.A.2 Plot points to solve real problems and read them back Dot Map 5.G.B.3 What is true of a family of shapes is true of everything in it: every square is a rectangle Shapes 5.G.B.4 Sort two-dimensional shapes into a family tree by their properties Shapes 5.MD.A.1 Convert between sizes of unit in one system, in several steps Unit Multipliers 5.MD.B.2 Line plots of fractions; share the total out equally Line Plot 5.MD.C.3 Volume: counting unit cubes that fill a solid ColorMyMath teaches it earlier, in grade 4 Build the Cube 5.MD.C.4 Measure volume by counting unit cubes in cubic cm, in., ft. and made-up units Fill the Box 5.MD.C.5 Volume by multiplying length x width x height ColorMyMath teaches it earlier, in grade 4 Build the Cube 5.NBT.A.1 Ten times as much to the left, a tenth as much to the right, decimals too Ten Times Bigger 5.NBT.A.2 Multiply and divide by powers of 10: the zeros pattern and the moving decimal point; 10ⁿ Powers of Ten 5.NBT.A.3 Read, write and compare decimals to thousandths Ten Times Bigger 5.NBT.A.4 Round decimals to any place Ten Times Bigger 5.NBT.B.5 Multiply multi-digit whole numbers fluently with the standard algorithm ColorMyMath teaches it earlier, in grade 4 Squares to 110 The Multiplication Dance 5.NBT.B.6 Divide up to four digits by two digits with the area model Factors and Patterns 5.NF.A.1 Add and subtract fractions with unlike denominators Fraction Strips 5.NF.A.2 Fraction word problems on one whole: estimate with benchmarks, then add or take away Stretch and Shrink 5.NF.B.4 Multiply a fraction by a fraction, as an area Fraction Block 5.NF.B.5 Multiplying as scaling: more than 1 stretches, less than 1 shrinks, n/n stays the same Stretch and Shrink 5.NF.B.6 Real problems multiplying fractions and mixed numbers: 2 1/2 batches of a 3/4-cup recipe Stretch and Shrink 5.NF.B.7 Divide a unit fraction by a whole number, and a whole number by a unit fraction Fraction Block 5.OA.A.1 Brackets first: the bracketed group is a box of dots made before the rest Letters for Numbers 5.OA.A.2 Write expressions from words; read 3 × (18932 + 921) without working it out Letters for Numbers 5.OA.B.3 Two patterns from two rules: compare them and graph the pairs Factors and Patterns
Grades 6 to 8: every one of those standards has a game too — see Massachusetts standards .
Ages one to three start at Five and Under .
Shirts with the dots on them: colormymath.com .