compose and decompose numbers up to 100,000 as a sum of so many ten thousands, so many thousands, so many hundreds, so many tens, and so many ones using objects, pictorial models, and numbers, including expanded notation as appropriate
recall facts to multiply up to 10 by 10 with automaticity and recall the corresponding division facts
determine if a number is even or odd using divisibility rules
determine the number of objects in each group when a set of objects is partitioned into equal shares or a set of objects is shared equally
determine the total number of objects when equally-sized groups of objects are combined or arranged in arrays up to 10 by 10
solve with fluency one-step and two-step problems involving addition and subtraction within 1,000 using strategies based on place value, properties of operations, and the relationship between addition and subtraction
describe a multiplication expression as a comparison such as 3 x 24 represents 3 times as much as 24
represent one- and two-step problems involving addition and subtraction of whole numbers to 1,000 using pictorial models, number lines, and equations
represent real-world relationships using number pairs in a table and verbal descriptions
determine the value of a collection of coins and bills
determine a quotient using the relationship between multiplication and division
determine the unknown whole number in a multiplication or division equation relating three whole numbers when the unknown is either a missing factor or product
solve one-step and two-step problems involving multiplication and division within 100 using strategies based on objects; pictorial models, including arrays, area models, and equal groups; properties of operations; or recall of facts
represent multiplication facts by using a variety of approaches such as repeated addition, equal-sized groups, arrays, area models, equal jumps on a number line, and skip counting
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