•Add and subtract 3 digit numbers with borrowing and carrying (regrouping)

•Add a column of up to four addends with 3 digit numbers

•Add and subtract fractions with like denominators using manipulatives

•Begin memorization of multiplication facts

•Begin memorization of division facts

•Continue work with memorization of basic + and - facts

•Add and subtract 4 digit numbers

•Add a column with addends of up to 4 digit numbers

•Add and subtract fractions with like denominators

•Multiply whole numbers up to 1 digit by 3 digits

•Divide 3 digit by 1 digit

•Continue work with memorization of basic +, -, x, ÷ facts

•Add and subtract with 5 digit numbers

•Add a column of addends with up to four 5 digit numbers

•Begin + and - of fractions with unlike denominators

•Begin + and - of decimals up to thousandths

•Multiply whole numbers up to 2 digit by 3 digit

•Begin to multiply decimals with products up to thousandths

•Divide with 2 digit divisor with remainders

•Begin decimals up to thousandths

•Maintain memorization of basic +, -, x, ÷ facts

•Demonstrate an understanding of place value of whole numbers to 4 digits

•Compare and order whole numbers up to 4 digits

•Demonstrate an understanding of place value of whole numbers to 6 digits

•Compare and order whole numbers up to 6 digits

•Begin using the commutative, associative, distributive and identity properties

•Recognize the existence of prime, composite and square numbers

•Demonstrate an understanding of place value of whole numbers to 9 digits

•Begin using decimals to thousandths

•Compare and order whole numbers up to 9 digits

•Recognize relationships among fractions, decimals, percents

•Compare and order fractions and decimals by locating items on a number line

•Begin using equivalent fractions

•Recognize and name 3 dimensional objects e.g. cubes, cylinders

•Estimate before measuring

•Use non-standard and standard units to measure length, perimeter

•Tell time to the nearest minute

•Use money to develop understanding of the value of money

•Use calendars

•Add and subtract money

•Count collections of coins

•Read and draw simple maps

•Use geometric shapes to find patterns of corners, diagonal edges, etc.

•Read and draw simple maps using coordinates and grids

•Introduce parallel, perpendicular and right angles

•Estimate before measuring

•Use non-standard and standard units to measure length, area, temperature

•Tell time for a purpose

•Make simple scale drawings

•Add and subtract money

•Multiply and divide money by one digit

•Count collections of coins and bills

•Tell the same time in different ways (quarter to four and 3:45)

•Recognize the difference between a.m. and p.m.

•Determine lapsed time

•Identify the concepts of parallel, perpendicular and right angles

•Begin to recognize circle relationships including diameter, circumference, radius

•Begin to recognize congruence of shapes

•Begin to use symmetry

•Draw constructions such as equal line segments or perpendicular bisectors

•Use coordinate graphing with positive numbers

•Draw and read maps

•Add and subtract money

•Multiply and divide money by one digit

•Make change

•Tell time; taking into account different time zones

•Begin to use angle measurement

•Begin to use standard measurement tools

•Extend and analyze simple patterns

•Continue to use patterns of numbers,shapes, colors and sounds

•Extend and analyze a wide variety of simple patterns

•Maintain use of patterns

•Continue to extend and analyze simple patterns

•Recognize and describe a wide variety of arithmetic and geometric patterns using concrete, pictorial and numeric models

•Use probability concepts such as the chance of something happening

•Use tally marks, collecting and organizing informal data

•Make, read and interpret simple graphs

•Use sampling techniques to collect information or conduct a survey

•Discuss uses and meanings of statistics e.g. make a fair survey, show most information, find averages

•Make read and interpret graphs

•Perform simple probability experiments; discuss results

•Perform and report on a variety of probability experiments

•Collect and organize data as a class

•Display data in graphic form (pictorial)

•Begin using the concepts of mean, median and mode

•Practice rounding and estimation skills with problems

•Practice rounding and estimation skills with problems

•Compare estimations to actual results

•Begin to apply estimation when working with computation and problem solving

•Begin to recognize when an estimate is more appropriate than an exact answer

•Practice rounding and estimation skills with problems

•Compare estimations to actual results

•Apply estimation when working with computation and problem solving

•Recognize when an estimate is more appropriate than an exact answer

•Use of Estimating and Rounding Techniques

•Use of Estimating and Rounding Techniques

•Use of Estimating and Rounding Techniques

•Begin one and two step problems with addition and subtraction

•Begin one step problems with multiplication

•Begin using problem solving strategies

•Begin to explain the solution process through oral, visual or written form (VT State Mathematics Portfolio Standards)

•Perform 2 and 3 step problems with addition, subtraction, multiplication and division

•Develop problem solving skills and strategies

•Refine solution process using oral, visual, and written forms (VT State Mathematics Portfolio Standards)

•Refine 2, 3 and 4 step problems with addition, subtraction, multiplication and division

•Continue to develop skills and problem solving strategies

•Expand solutions process with greater emphasis on visual and written forms (VT State Mathematics Portfolio Standards)

•Use manipulatives, act it out, draw a picture, make an organized list, make a table/chart/graph, find and use patterns, work backwards

•Use manipulatives, act it out, draw a picture, make an organized list, make a table/chart/graph, find and use patterns, work backwards

•Use manipulatives, act it out, draw a picture, make an organized list, make a table/chart/graph, find and use patterns, work backwards