Mathematics Standards
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Showing 101 - 110 of 734 Standards
Standard Identifier: 3.OA.2
Grade:
3
Domain:
Operations and Algebraic Thinking
Cluster:
Represent and solve problems involving multiplication and division.
Standard:
Interpret whole-number quotients of whole numbers, e.g., interpret 56 ÷ 8 as the number of objects in each share when 56 objects are partitioned equally into 8 shares, or as a number of shares when 56 objects are partitioned into equal shares of 8 objects each. For example, describe a context in which a number of shares or a number of groups can be expressed as 56÷8.
Represent and solve problems involving multiplication and division.
Standard:
Interpret whole-number quotients of whole numbers, e.g., interpret 56 ÷ 8 as the number of objects in each share when 56 objects are partitioned equally into 8 shares, or as a number of shares when 56 objects are partitioned into equal shares of 8 objects each. For example, describe a context in which a number of shares or a number of groups can be expressed as 56÷8.
Standard Identifier: 3.OA.3
Grade:
3
Domain:
Operations and Algebraic Thinking
Cluster:
Represent and solve problems involving multiplication and division.
Standard:
Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.
Footnote:
See Glossary, Table 2.
Represent and solve problems involving multiplication and division.
Standard:
Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.
Footnote:
See Glossary, Table 2.
Standard Identifier: 3.OA.4
Grade:
3
Domain:
Operations and Algebraic Thinking
Cluster:
Represent and solve problems involving multiplication and division.
Standard:
Determine the unknown whole number in a multiplication or division equation relating three whole numbers. For example, determine the unknown number that makes the equation true in each of the equations 8 × ? = 48, 5 = ÷ 3, 6 × 6 = ?.
Represent and solve problems involving multiplication and division.
Standard:
Determine the unknown whole number in a multiplication or division equation relating three whole numbers. For example, determine the unknown number that makes the equation true in each of the equations 8 × ? = 48, 5 = ÷ 3, 6 × 6 = ?.
Standard Identifier: 3.OA.5
Grade:
3
Domain:
Operations and Algebraic Thinking
Cluster:
Understand properties of multiplication and the relationship between multiplication and division.
Standard:
Apply properties of operations as strategies to multiply and divide. Examples: If 6 × 4 = 24 is known, then 4 × 6 = 24 is also known. (Commutative property of multiplication.) 3 × 5 × 2 can be found by 3 × 5 = 15, then 15 × 2 = 30, or by 5 × 2 = 10, then 3 × 10 = 30. (Associative property of multiplication.) Knowing that 8 × 5 = 40 and 8 × 2 = 16, one can find 8 × 7 as 8 × (5 + 2) = (8 × 5) + (8 × 2) = 40 + 16 = 56. (Distributive property.)
Footnote:
Students need not use formal terms for these properties.
Understand properties of multiplication and the relationship between multiplication and division.
Standard:
Apply properties of operations as strategies to multiply and divide. Examples: If 6 × 4 = 24 is known, then 4 × 6 = 24 is also known. (Commutative property of multiplication.) 3 × 5 × 2 can be found by 3 × 5 = 15, then 15 × 2 = 30, or by 5 × 2 = 10, then 3 × 10 = 30. (Associative property of multiplication.) Knowing that 8 × 5 = 40 and 8 × 2 = 16, one can find 8 × 7 as 8 × (5 + 2) = (8 × 5) + (8 × 2) = 40 + 16 = 56. (Distributive property.)
Footnote:
Students need not use formal terms for these properties.
Standard Identifier: 3.OA.6
Grade:
3
Domain:
Operations and Algebraic Thinking
Cluster:
Understand properties of multiplication and the relationship between multiplication and division.
Standard:
Understand division as an unknown-factor problem. For example, find 32 ÷ 8 by finding the number that makes 32 when multiplied by 8.
Understand properties of multiplication and the relationship between multiplication and division.
Standard:
Understand division as an unknown-factor problem. For example, find 32 ÷ 8 by finding the number that makes 32 when multiplied by 8.
Standard Identifier: 3.OA.7
Grade:
3
Domain:
Operations and Algebraic Thinking
Cluster:
Multiply and divide within 100.
Standard:
Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing that 8 × 5 = 40, one knows 40 ÷ 5 = 8) or properties of operations. By the end of Grade 3, know from memory all products of two one-digit numbers.
Multiply and divide within 100.
Standard:
Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing that 8 × 5 = 40, one knows 40 ÷ 5 = 8) or properties of operations. By the end of Grade 3, know from memory all products of two one-digit numbers.
Standard Identifier: 3.OA.8
Grade:
3
Domain:
Operations and Algebraic Thinking
Cluster:
Solve problems involving the four operations, and identify and explain patterns in arithmetic.
Standard:
Solve two-step word problems using the four operations. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.
Footnote:
This standard is limited to problems posed with whole numbers and having whole-number answers; students should know how to perform operations in the conventional order when there are no parentheses to specify a particular order (Order of Operations).
Solve problems involving the four operations, and identify and explain patterns in arithmetic.
Standard:
Solve two-step word problems using the four operations. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.
Footnote:
This standard is limited to problems posed with whole numbers and having whole-number answers; students should know how to perform operations in the conventional order when there are no parentheses to specify a particular order (Order of Operations).
Standard Identifier: 3.OA.9
Grade:
3
Domain:
Operations and Algebraic Thinking
Standard:
Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations. For example, observe that 4 times a number is always even, and explain why 4 times a number can be decomposed into two equal addends.
Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations. For example, observe that 4 times a number is always even, and explain why 4 times a number can be decomposed into two equal addends.
Standard Identifier: 4.G.1
Grade:
4
Domain:
Geometry
Cluster:
Draw and identify lines and angles, and classify shapes by properties of their lines and angles.
Standard:
Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.
Draw and identify lines and angles, and classify shapes by properties of their lines and angles.
Standard:
Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.
Standard Identifier: 4.G.2
Grade:
4
Domain:
Geometry
Cluster:
Draw and identify lines and angles, and classify shapes by properties of their lines and angles.
Standard:
Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. Recognize right triangles as a category, and identify right triangles. (Two-dimensional shapes should include special triangles, e.g., equilateral, isosceles, scalene, and special quadrilaterals, e.g., rhombus, square, rectangle, parallelogram, trapezoid.) CA
Draw and identify lines and angles, and classify shapes by properties of their lines and angles.
Standard:
Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. Recognize right triangles as a category, and identify right triangles. (Two-dimensional shapes should include special triangles, e.g., equilateral, isosceles, scalene, and special quadrilaterals, e.g., rhombus, square, rectangle, parallelogram, trapezoid.) CA
Showing 101 - 110 of 734 Standards
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