Mathematics Standards
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Arithmetic with Polynomials and Rational Expressions
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Building Functions
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Conditional Probability and the Rules of Probability
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Quantities
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Similarity, Right Triangles, and Trigonometry
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The Number System
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Showing 31 - 40 of 118 Standards
Standard Identifier: F-BF.3
Grade Range:
7–12
Domain:
Building Functions
Discipline:
Algebra I
Conceptual Category:
Functions
Cluster:
Build new functions from existing functions. [Linear, exponential, quadratic, and absolute value; for F.BF.4a, linear only]
Standard:
Identify the effect on the graph of replacing f(x) by f(x) + k, kf(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.
Build new functions from existing functions. [Linear, exponential, quadratic, and absolute value; for F.BF.4a, linear only]
Standard:
Identify the effect on the graph of replacing f(x) by f(x) + k, kf(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.
Standard Identifier: F-BF.4.a
Grade Range:
7–12
Domain:
Building Functions
Discipline:
Algebra I
Conceptual Category:
Functions
Cluster:
Build new functions from existing functions. [Linear, exponential, quadratic, and absolute value; for F.BF.4a, linear only]
Standard:
Find inverse functions. Solve an equation of the form f(x) = c for a simple function f that has an inverse and write an expression for the inverse.
Build new functions from existing functions. [Linear, exponential, quadratic, and absolute value; for F.BF.4a, linear only]
Standard:
Find inverse functions. Solve an equation of the form f(x) = c for a simple function f that has an inverse and write an expression for the inverse.
Standard Identifier: N-Q.1
Grade Range:
7–12
Domain:
Quantities
Discipline:
Algebra I
Conceptual Category:
Number and Quantity
Cluster:
Reason quantitatively and use units to solve problems. [Foundation for work with expressions, equations and functions]
Standard:
Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays.*
Reason quantitatively and use units to solve problems. [Foundation for work with expressions, equations and functions]
Standard:
Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays.*
Standard Identifier: N-Q.1
Grade Range:
7–12
Domain:
Quantities
Discipline:
Math I
Conceptual Category:
Number and Quantity
Cluster:
Reason quantitatively and use units to solve problems. [Foundation for work with expressions, equations, and functions]
Standard:
Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays. *
Reason quantitatively and use units to solve problems. [Foundation for work with expressions, equations, and functions]
Standard:
Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays. *
Standard Identifier: N-Q.2
Grade Range:
7–12
Domain:
Quantities
Discipline:
Math I
Conceptual Category:
Number and Quantity
Cluster:
Reason quantitatively and use units to solve problems. [Foundation for work with expressions, equations, and functions]
Standard:
Define appropriate quantities for the purpose of descriptive modeling. *
Reason quantitatively and use units to solve problems. [Foundation for work with expressions, equations, and functions]
Standard:
Define appropriate quantities for the purpose of descriptive modeling. *
Standard Identifier: N-Q.2
Grade Range:
7–12
Domain:
Quantities
Discipline:
Algebra I
Conceptual Category:
Number and Quantity
Cluster:
Reason quantitatively and use units to solve problems. [Foundation for work with expressions, equations and functions]
Standard:
Define appropriate quantities for the purpose of descriptive modeling.*
Reason quantitatively and use units to solve problems. [Foundation for work with expressions, equations and functions]
Standard:
Define appropriate quantities for the purpose of descriptive modeling.*
Standard Identifier: N-Q.3
Grade Range:
7–12
Domain:
Quantities
Discipline:
Algebra I
Conceptual Category:
Number and Quantity
Cluster:
Reason quantitatively and use units to solve problems. [Foundation for work with expressions, equations and functions]
Standard:
Choose a level of accuracy appropriate to limitations on measurement when reporting quantities.*
Reason quantitatively and use units to solve problems. [Foundation for work with expressions, equations and functions]
Standard:
Choose a level of accuracy appropriate to limitations on measurement when reporting quantities.*
Standard Identifier: N-Q.3
Grade Range:
7–12
Domain:
Quantities
Discipline:
Math I
Conceptual Category:
Number and Quantity
Cluster:
Reason quantitatively and use units to solve problems. [Foundation for work with expressions, equations, and functions]
Standard:
Choose a level of accuracy appropriate to limitations on measurement when reporting quantities. *
Reason quantitatively and use units to solve problems. [Foundation for work with expressions, equations, and functions]
Standard:
Choose a level of accuracy appropriate to limitations on measurement when reporting quantities. *
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.
Showing 31 - 40 of 118 Standards
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