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http://www.mathlearningcenter.org/resources/families
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count objects and tell how many there are
write numerals 0-20
compare numbers or sets of objects to tell which has more or less
add & subtract quickly and easily to 5
add & subtract within 10 using objects, fingers, drawings, numbers, or
equations
solve addition and subtraction story problems
understand that teen numbers are 10 and some more
identify and describe shapes
understand length and weight as something that can be measured
 solve addition and subtraction story problems
 count by ones and tens to 120 read and write numbers to 120, and
represent a number of objects up to 120 with a written numeral
 understand place value by describing what the digits mean in two-digit
numbers; use this knowledge to add and subtract
 add 2-digit numbers using at least two different strategies and explain how
the strategies work
 subtract 2-digit numbers that are multiples of 10 using at least two
different strategies and explain how the strategies work
 compare two numbers using the symbols >, =, and <
 add & subtract numbers within 10 efficiently and accurately
 read or construct a graph and answer questions about the data
 measure length using non-standard units such as Popsicle sticks, linking
cubes, and so on
 tell and write time to the hour and half-hour on analog and digital clocks
 solve two-step addition and subtraction story problems to 100.
 add and subtract to 20; know addition facts to 20 by memory
 read and write 3-digit numbers using numerals, words, and expanded
notation (726 = 700 + 20 + 6)
 understand that the three digits of a 3-digit number represent amounts of
hundreds, tens, and ones
 use symbols >, =, < to compare two 3-digit numbers
 add and subtract 2-digit numbers accurately and efficiently, and explain
strategies for doing so
 add and subtract 3-digit numbers using models, sketches, and/or numbers,
and explain strategies for doing so
 estimate and measure length in centimeters and meters, inches and feet.
 divide circles and rectangles into two, three, and four equal parts and
describe the parts
 recognize, draw, and analyze 2- and 3-D shapes
 solve money problems involving dollars, quarters, dimes, nickels, and pennies
 use addition, subtraction, multiplication, and division to solve story
problems
 solve multiplication and division facts accurately and efficiently
 multiply 1-digit numbers by multiples of 10, e.g., 3 x 70
 add and subtract 2- and 3-digit numbers
 compare, recognize, and generate equivalent fractions and place them on a
number line
 estimate and measure in time, liquid volume, and masses of objects
 round numbers to nearest 10 or 100
 tell time to the minute
 estimate and measure liquid volume and mass in metric units
 solve area and perimeter problems
 identify and construct different kinds of quadrilaterals
 sort and classify shapes
 understand factors and multiples, e.g., 1,2,4,5,10, and 20 are all factors of 20,
and 20 is a multiple of each of those numbers
 understand that a prime number has only 2 factors—1 and itself, while a
composite number has more than 2 factors
 multiply multi-digit numbers using strategies based on place value and
properties of operations
 divide 2-digit numbers by 1-digit numbers using strategies based on place
value and the relationship between multiplication and division
 read, write, and compare multi-digit numbers and round multi-digit numbers
to any place
 add and subtract multi-digit numbers accurately and efficiently
 recognize and generate equivalent fractions
 compare two fractions with different numerators and denominators
 add and subtract fractions and mixed numbers with like denominators
 multiply a fraction by a whole number
 write fractions with denominators of 10 or 100 in decimal notation
 compare decimal numbers with digits to the hundredths place
 know the relative sizes of measurement units within one system of units,
including metric length, metric mass, customary weight, metric volume, and
time.
 use formulas for area and perimeter of a rectangle to solve problems
 measure and sketch angles with a protractor
 classify 2-D shapes
 identify and draw lines of symmetry
 use models and strategies to divide 2- and 3-digit numbers by 2-digit
numbers, with and without remainders. (Students are not expected to use
the standard long division algorithm until sixth grade.)
 add and subtract fractions with unlike denominators
 multiply fractions and divide fractions in simple cases
 measure volume
 explain patterns in the number of zeroes and the placement of the decimal
point in the answer when multiplying or dividing by powers of 10.
 read, write, round, compare, add & subtract, multiply & divide decimals
 multiply multi-digit whole numbers
 locate and graph points on a coordinate plane