Mathematics Standards
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Showing 41 - 50 of 86 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: 8.F.1
Grade:
8
Domain:
Functions
Cluster:
Define, evaluate, and compare functions.
Standard:
Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.
Footnote:
Function notation is not required in grade 8.
Define, evaluate, and compare functions.
Standard:
Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.
Footnote:
Function notation is not required in grade 8.
Standard Identifier: 8.F.2
Grade:
8
Domain:
Functions
Cluster:
Define, evaluate, and compare functions.
Standard:
Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a linear function represented by a table of values and a linear function represented by an algebraic expression, determine which function has the greater rate of change.
Define, evaluate, and compare functions.
Standard:
Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a linear function represented by a table of values and a linear function represented by an algebraic expression, determine which function has the greater rate of change.
Standard Identifier: 8.F.3
Grade:
8
Domain:
Functions
Cluster:
Define, evaluate, and compare functions.
Standard:
Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear. For example, the function A = s^2 giving the area of a square as a function of its side length is not linear because its graph contains the points (1,1), (2,4) and (3,9), which are not on a straight line.
Define, evaluate, and compare functions.
Standard:
Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear. For example, the function A = s^2 giving the area of a square as a function of its side length is not linear because its graph contains the points (1,1), (2,4) and (3,9), which are not on a straight line.
Standard Identifier: 8.F.4
Grade:
8
Domain:
Functions
Cluster:
Use functions to model relationships between quantities.
Standard:
Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.
Use functions to model relationships between quantities.
Standard:
Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.
Standard Identifier: 8.F.5
Grade:
8
Domain:
Functions
Cluster:
Use functions to model relationships between quantities.
Standard:
Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally.
Use functions to model relationships between quantities.
Standard:
Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally.
Showing 41 - 50 of 86 Standards
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