add and subtract positive rational numbers fluently
compare and order two decimals to thousandths and represent comparisons using the symbols >, <, or =
generate a numerical pattern when given a rule in the form y = ax or y = x + a and graph
represent and solve problems related to perimeter and/or area and related to volume
solve for quotients of decimals to the hundredths, up to four-digit dividends and two-digit whole number divisors, using strategies and algorithms, including the standard algorithm
solve for products of decimals to the hundredths, including situations involving money, using strategies based on place-value understandings, properties of operations, and the relationship to the multiplication of whole numbers
solve one- and two-step problems using data from a frequency table, dot plot, bar graph, stem-and-leaf plot, or scatterplot
classify two-dimensional figures in a hierarchy of sets and subsets using graphic organizers based on their attributes and properties
represent multiplication of decimals with products to the hundredths using objects and pictorial models, including area models
describe the process for graphing ordered pairs of numbers in the first quadrant of the coordinate plane
simplify numerical expressions that do not involve exponents, including up to two levels of grouping
estimate to determine solutions to mathematical and real-world problems involving addition, subtraction, multiplication, or division
identify prime and composite numbers
divide whole numbers by unit fractions and unit fractions by whole numbers
graph in the first quadrant of the coordinate plane ordered pairs of numbers arising from mathematical and real-world problems, including those generated by number patterns or found in an input-output table
represent and solve multi-step problems involving the four operations with whole numbers using equations with a letter standing for the unknown quantity
recognize a cube with side length of one unit as a unit cube having one cubic unit of volume and the volume of a three-dimensional figure as the number of unit cubes (n cubic units) needed to fill it with no gaps or overlaps if possible
solve with proficiency for quotients of up to a four-digit dividend by a two-digit divisor using strategies and the standard algorithm
represent the value of the digit in decimals through the thousandths using expanded notation and numerals
represent quotients of decimals to the hundredths, up to four-digit dividends and two-digit whole number divisors, using objects and pictorial models, including area models
solve problems by calculating conversions within a measurement system, customary or metric
define income tax, payroll tax, sales tax, and property tax
recognize the difference between additive and multiplicative numerical patterns given in a table or graph
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