Interpret and/or describe whole-number quotients of whole numbers (limit dividends through 50 and limit divisors and quotients through 10). Example 1: Interpret 48 Ă· 8 as the number of objects in each share when 48 objects are partitioned equally into 8 shares, or as a number of shares when 48 objects are partitioned into equal shares of 8 objects each. Example 2: Describe a context in which a number of shares or a number of groups can be expressed as 48 Ă· 8.
Use multiplication (up to and including 10 Ă— 10) and/or division (limit dividends through 50 and limit divisors and quotients through 10) to solve word problems in situations involving equal groups, arrays, and/or measurement quantities.
Determine the unknown whole number in a multiplication (up to and including 10 Ă— 10) or division (limit dividends through 50 and limit divisors and quotients through 10) equation relating three whole numbers. Example: Determine the unknown number that makes an equation true.
Apply the associative property of multiplication (not identification or definition of the property).
Relate division to a missingnumber multiplication equation.
Interpret and/or model division as a multiplication equation with an unknown factor. Example: Find 32 Ă· 8 by solving 8 Ă— ? = 32.
Use operations, patterns, and estimation strategies to solve problems (may include word problems).
Represent two-step word problems using equations with a symbol standing for the unknown quantity. Limit to problems with whole numbers and having whole-number answers.
Identify the missing symbol (+, –, ×, ÷, <, >, and =) that makes a number sentence true.
Assess the reasonableness of answers. Limit problems posed with whole numbers and having whole-number answers.
Solve two-step word problems using the four operations (expressions are not explicitly stated). Limit to problems with whole numbers and having whole-number answers.
Solve mathematical and realworld problems using multiplication and division, including determining the missing number in a multiplication and/or division equation.
Apply the commutative property of multiplication (not identification or definition of the property).
Create or match a story to a given combination of symbols (+, –, ×, ÷, <, >, and =) and numbers.
Understand various meanings of multiplication and division.
Use properties to simplify and solve multiplication problems.
Identify arithmetic patterns (including patterns in the addition table or multiplication table) and/or explain them using properties of operations. Example 1: Observe that 4 times a number is always even. Example 2: Explain why 6 times a number can be decomposed into three equal addends.
Interpret and/or describe products of whole numbers (up to and including 10 Ă— 10). Example 1: Interpret 35 as the total number of objects in 5 groups, each containing 7 objects. Example 2: Describe a context in which a total number of objects can be expressed as 5 Ă— 7.
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