Mathematics Standards
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Circles
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Creating Equations
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Functions
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Number and Operations in Base Ten
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The Complex Number System
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The Number System
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Showing 71 - 80 of 107 Standards
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.
Standard Identifier: 8.NS.1
Grade:
8
Domain:
The Number System
Cluster:
Know that there are numbers that are not rational, and approximate them by rational numbers.
Standard:
Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number.
Know that there are numbers that are not rational, and approximate them by rational numbers.
Standard:
Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number.
Standard Identifier: 8.NS.2
Grade:
8
Domain:
The Number System
Cluster:
Know that there are numbers that are not rational, and approximate them by rational numbers.
Standard:
Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g.,π^2). For example, by truncating the decimal expansion of √2, show that √2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations.
Know that there are numbers that are not rational, and approximate them by rational numbers.
Standard:
Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g.,π^2). For example, by truncating the decimal expansion of √2, show that √2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations.
Standard Identifier: A-CED.1
Grade Range:
8–12
Domain:
Creating Equations
Discipline:
Math II
Conceptual Category:
Algebra
Cluster:
Create equations that describe numbers or relationships.
Standard:
Create equations and inequalities in one variable including ones with absolute value and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions. CA *
Create equations that describe numbers or relationships.
Standard:
Create equations and inequalities in one variable including ones with absolute value and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions. CA *
Standard Identifier: A-CED.2
Grade Range:
8–12
Domain:
Creating Equations
Discipline:
Math II
Conceptual Category:
Algebra
Cluster:
Create equations that describe numbers or relationships.
Standard:
Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. *
Create equations that describe numbers or relationships.
Standard:
Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. *
Standard Identifier: A-CED.4
Grade Range:
8–12
Domain:
Creating Equations
Discipline:
Math II
Conceptual Category:
Algebra
Cluster:
Create equations that describe numbers or relationships.
Standard:
Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. * [Include formulas involving quadratic terms.]
Create equations that describe numbers or relationships.
Standard:
Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. * [Include formulas involving quadratic terms.]
Standard Identifier: G-C.1
Grade Range:
8–12
Domain:
Circles
Discipline:
Math II
Conceptual Category:
Geometry
Cluster:
Understand and apply theorems about circles.
Standard:
Prove that all circles are similar.
Understand and apply theorems about circles.
Standard:
Prove that all circles are similar.
Standard Identifier: G-C.1
Grade Range:
8–12
Domain:
Circles
Discipline:
Geometry
Conceptual Category:
Geometry
Cluster:
Understand and apply theorems about circles.
Standard:
Prove that all circles are similar.
Understand and apply theorems about circles.
Standard:
Prove that all circles are similar.
Standard Identifier: G-C.2
Grade Range:
8–12
Domain:
Circles
Discipline:
Geometry
Conceptual Category:
Geometry
Cluster:
Understand and apply theorems about circles.
Standard:
Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle.
Understand and apply theorems about circles.
Standard:
Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle.
Showing 71 - 80 of 107 Standards
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