generate a numerical pattern when given a rule in the form y = ax or y = x + a and graph
simplify numerical expressions that do not involve exponents, including up to two levels of grouping
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
solve one- and two-step problems using data from a frequency table, dot plot, bar graph, stem-and-leaf plot, or scatterplot
represent and solve multiplication of a whole number and a fraction that refers to the same whole using objects and pictorial models, including area models
round decimals to tenths or hundredths
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
describe the meaning of parentheses and brackets in a numeric expression
explain the difference between gross income and net income
represent and solve multi-step problems involving the four operations with whole numbers using equations with a letter standing for the unknown quantity
classify two-dimensional figures in a hierarchy of sets and subsets using graphic organizers based on their attributes and properties
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
compare and order two decimals to thousandths and represent comparisons using the symbols >, <, or =
represent and solve addition and subtraction of fractions with unequal denominators referring to the same whole using objects and pictorial models and properties of operations
represent and solve problems related to perimeter and/or area and related to volume
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
describe the process for graphing ordered pairs of numbers in the first quadrant of the coordinate plane
add and subtract positive rational numbers fluently
solve problems by calculating conversions within a measurement system, customary or metric
represent division of a unit fraction by a whole number and the division of a whole number by a unit fraction such as 1/3 Ă· 7 and 7 Ă· 1/3 using objects and pictorial models, including area models
recognize the difference between additive and multiplicative numerical patterns given in a table or graph
represent discrete paired data on a scatterplot
determine the volume of a rectangular prism with whole number side lengths in problems related to the number of layers times the number of unit cubes in the area of the base
divide whole numbers by unit fractions and unit fractions by whole numbers
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