Mathematics Standards
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Showing 41 - 50 of 77 Standards
Standard Identifier: 5.MD.3.b
Grade:
5
Domain:
Measurement and Data
Cluster:
Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.
Standard:
Recognize volume as an attribute of solid figures and understand concepts of volume measurement. A solid figure which can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units.
Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.
Standard:
Recognize volume as an attribute of solid figures and understand concepts of volume measurement. A solid figure which can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units.
Standard Identifier: 5.MD.4
Grade:
5
Domain:
Measurement and Data
Cluster:
Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.
Standard:
Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units.
Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.
Standard:
Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units.
Standard Identifier: 5.MD.5.a
Grade:
5
Domain:
Measurement and Data
Cluster:
Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.
Standard:
Relate volume to the operations of multiplication and addition and solve real-world and mathematical problems involving volume. Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication.
Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.
Standard:
Relate volume to the operations of multiplication and addition and solve real-world and mathematical problems involving volume. Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication.
Standard Identifier: 5.MD.5.b
Grade:
5
Domain:
Measurement and Data
Cluster:
Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.
Standard:
Relate volume to the operations of multiplication and addition and solve real-world and mathematical problems involving volume. Apply the formulas V = l × w × h and V = b × h for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of solving real-world and mathematical problems.
Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.
Standard:
Relate volume to the operations of multiplication and addition and solve real-world and mathematical problems involving volume. Apply the formulas V = l × w × h and V = b × h for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of solving real-world and mathematical problems.
Standard Identifier: 5.MD.5.c
Grade:
5
Domain:
Measurement and Data
Cluster:
Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.
Standard:
Relate volume to the operations of multiplication and addition and solve real-world and mathematical problems involving volume. Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real-world problems.
Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.
Standard:
Relate volume to the operations of multiplication and addition and solve real-world and mathematical problems involving volume. Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real-world problems.
Standard Identifier: N-RN.1
Grade Range:
7–12
Domain:
The Real Number System
Discipline:
Algebra I
Conceptual Category:
Number and Quantity
Cluster:
Extend the properties of exponents to rational exponents.
Standard:
Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents. For example, we define 5^1/3 to be the cube root of 5 because we want (5^1/3)^3 = 5(^1/3)^3 to hold, so (5^1/3)^3 must equal 5.
Extend the properties of exponents to rational exponents.
Standard:
Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents. For example, we define 5^1/3 to be the cube root of 5 because we want (5^1/3)^3 = 5(^1/3)^3 to hold, so (5^1/3)^3 must equal 5.
Standard Identifier: N-RN.2
Grade Range:
7–12
Domain:
The Real Number System
Discipline:
Algebra I
Conceptual Category:
Number and Quantity
Cluster:
Extend the properties of exponents to rational exponents.
Standard:
Rewrite expressions involving radicals and rational exponents using the properties of exponents.
Extend the properties of exponents to rational exponents.
Standard:
Rewrite expressions involving radicals and rational exponents using the properties of exponents.
Standard Identifier: N-RN.3
Grade Range:
7–12
Domain:
The Real Number System
Discipline:
Algebra I
Conceptual Category:
Number and Quantity
Cluster:
Use properties of rational and irrational numbers.
Standard:
Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational.
Use properties of rational and irrational numbers.
Standard:
Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational.
Standard Identifier: G-SRT.1.a
Grade Range:
8–12
Domain:
Similarity, Right Triangles, and Trigonometry
Discipline:
Geometry
Conceptual Category:
Geometry
Cluster:
Understand similarity in terms of similarity transformations.
Standard:
Verify experimentally the properties of dilations given by a center and a scale factor: A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.
Understand similarity in terms of similarity transformations.
Standard:
Verify experimentally the properties of dilations given by a center and a scale factor: A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.
Standard Identifier: G-SRT.1.a
Grade Range:
8–12
Domain:
Similarity, Right Triangles, and Trigonometry
Discipline:
Math II
Conceptual Category:
Geometry
Cluster:
Understand similarity in terms of similarity transformations.
Standard:
Verify experimentally the properties of dilations given by a center and a scale factor: A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.
Understand similarity in terms of similarity transformations.
Standard:
Verify experimentally the properties of dilations given by a center and a scale factor: A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.
Showing 41 - 50 of 77 Standards
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