represent the value of the digit in decimals through the thousandths using expanded notation and numerals

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represent the value of the digit in decimals through the thousandths using expanded notation and numerals

compare and order two decimals to thousandths and represent comparisons using the symbols >, <, or =

round decimals to tenths or hundredths

estimate to determine solutions to mathematical and real-world problems involving addition, subtraction, multiplication, or division

multiply with fluency a three-digit number by a two-digit number using the standard algorithm

solve with proficiency for quotients of up to a four-digit dividend by a two-digit divisor using strategies and the standard algorithm

represent multiplication of decimals with products to the hundredths using objects and pictorial models, including area models

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

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 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

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 multiplication of a whole number and a fraction that refers to the same whole using objects and pictorial models, including area models

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 ÷ 7 and 7 ÷ 1/3 using objects and pictorial models, including area models

add and subtract positive rational numbers fluently

divide whole numbers by unit fractions and unit fractions by whole numbers