Typical Curriculum Sequence for Developing Math Skills

By — Pearson Allyn Bacon Prentice Hall
Updated on Jul 20, 2010


Matches/sorts/names objects by size, color and shape; recites and recognizes numbers 1-20; one-to-one correspondence; counts/adds up to nine objects; knows addition/subtraction facts to six; evaluates objects by quantity, dimensions, size (e.g., more/less, longer/shorter, tall/tallest, bigger/same); writes numbers 1-10; understands concepts of addition and subtraction; knows symbols +, -, =; recognizes whole vs. half; understands ordinals (first, 5th); learns beginning concepts of weight, time (e.g., before/after; understands lunch is at 12:00; tells time to the hour), money (knows value of pennies, nickels, dimes), and temperature (hotter/colder); aware of locations (e.g., above/below, left/right, nearest/farthest); interprets simple maps, graphs and tallies.

First Grade

Counts/reads/writes/orders numbers to 99; begins learning addition and subtraction facts to 20; performs simple addition/subtraction problems (e.g., 23 + 11); understands multiplication as repeated addition; counts by 2s, 5s and 10s; identifies odd/even numbers; estimates answers; understands 1/2, 1/3, 1/4; gains elementary knowledge of calendar (e.g., counts how many days to birthday), time (tells time to half hour; understands schedules; reads digital clock), measurement (cup, pint, quart, liter, inch, cm, kg, Ib), and money (knows value of quarter; compares prices); solves simple number story problems; reads bar graphs and charts. 

Second Grade

Identifies/writes numbers to 999; Adds/subtracts two and three digit numbers with and without regrouping (e.g., 223 + 88, 124 - 16); multiplies by 2,3,4, 5; counts by 3s, 100s; reads/writes Roman numerals to XII; counts money and makes change up to $10.00; recognizes days of the week, months, and seasons of the year on a calendar; tells time to five minutes on a clock with hands; learns basic measurements (inch, foot, pint, pound); recognizes equivalents (e.g., two quarters; one half; four quarts; one gallon); divides area into 2/3, 3/4, 10ths; graphs simple data

Third Grade

Understands place value to thousands; adds and subtracts four digit numbers (e.g., 1,017 - 978); learns multiplication facts to 9 x 9; solves simple multiplication and division problems (642 x or ÷ 2); relates division to repeated subtractions; counts by 4s, 1000s; learns harder Roman numerals; introduction to fractions (adds/estimates/orders simple fractions; understands mixed numbers; reads fractions of an inch) and geometry (identifies hexagon, pentagon); understands diameter, radius, volume, area; understands decimals; begins to learn about negative numbers, probability, percentage, ratio; solves harder number story problems

Fourth Grade

Adds columns of 3 or more numbers; multiplies three digit by two digit numbers (348 x 34); performs simple division (44/22); reduces fractions to lowest terms; adds/subtracts fractions with different denominators (3/4 + 2/3); adds/subtracts decimals; converts decimals to percents; counts/makes change for up to $20.00; estimates time; can measure time in hours, minutes, seconds; understands acute, obtuse, right angles; computes area of rectangles; identifies parallel, perpendicular, intersecting lines; calculates weight in tons, length in meters, volume in cubic centimeters

Fifth Grade

Multiplies three digit numbers (962 x 334); can work harder division problems (102 ÷ 32); adds, subtracts, multiplies mixed numbers; divides a whole number by a fraction; represents fractions as decimals, ratios, percents; adds, subtracts, multiplies, with decimals; understands use of equations, formulas, "working backward"; estimates products/quotients; begins to learn about exponents, greatest common factor, bases, prime factors, composite numbers, integers; understands percent, ratios; understands mean, median, mode; measures areal circumference of a circle, perimeter/areas of triangles and parallelograms, volume of cube; performs metric conversions; uses compass, protractor; reads scale drawings

Middle School

Masters order of operations in complex problems; multiplies/divides two fractions; adds, subtracts, multiplies divides decimals to the thousandth; understands real, rational, irrational numbers and different number bases; calculates square and cube roots; estimates percentages/proportions; calculates discount, sales tax, restaurant tip; understands markup, commission, simple interest, compound interest, percent increase/ decrease; understands angles (complementary, supplementary, adjacent, straight, congruent ... ); calculates volume of a cylinder; calculates arc/ circumference of circle; understands equilateral, isosceles, scalene, obtuse figures; organizes sets of data; graphs coordinates, transformations, reflections, rotations, equations with two variables; solves equations by substitution; begins to learn about conditional probability, permutations, factorial notation, relative frequency, normal curve, pythagorean theorem; deepens understanding of previously taught skills and concepts

Add your own comment
DIY Worksheets
Make puzzles and printables that are educational, personal, and fun!
Matching Lists
Quickly create fun match-up worksheets using your own words.
Word Searches
Use your own word lists to create and print custom word searches.
Crossword Puzzles
Make custom crossword puzzles using your own words and clues.
See all Worksheet Generators