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Showing 521 - 530 of 664 Standards
Standard Identifier: A-REI.7
Grade Range:
8–12
Content Area:
Mathematics
Category:
Reasoning with Equations and Inequalities
Cluster:
Solve systems of equations. [Linear-quadratic systems]
Standard:
Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically. For example, find the points of intersection between the line y = –3x and the circle x^2 + y^2 = 3.
Solve systems of equations. [Linear-quadratic systems]
Standard:
Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically. For example, find the points of intersection between the line y = –3x and the circle x^2 + y^2 = 3.
Standard Identifier: A-SSE.3.a
Grade Range:
8–12
Content Area:
Mathematics
Category:
Seeing Structure in Expressions
Cluster:
Write expressions in equivalent forms to solve problems. [Quadratic and exponential]
Standard:
Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.* Factor a quadratic expression to reveal the zeros of the function it defines.*
Write expressions in equivalent forms to solve problems. [Quadratic and exponential]
Standard:
Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.* Factor a quadratic expression to reveal the zeros of the function it defines.*
Standard Identifier: A-SSE.3.b
Grade Range:
8–12
Content Area:
Mathematics
Category:
Seeing Structure in Expressions
Cluster:
Write expressions in equivalent forms to solve problems. [Quadratic and exponential]
Standard:
Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.* Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines.*
Write expressions in equivalent forms to solve problems. [Quadratic and exponential]
Standard:
Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.* Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines.*
Standard Identifier: A-SSE.3.c
Grade Range:
8–12
Content Area:
Mathematics
Category:
Seeing Structure in Expressions
Cluster:
Write expressions in equivalent forms to solve problems. [Quadratic and exponential]
Standard:
Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.* Use the properties of exponents to transform expressions for exponential functions. For example, the expression 1.15^t can be rewritten as (1.15^1/12)^12t ≈ 1.012^12t to reveal the approximate equivalent monthly interest rate if the annual rate is 15%.*
Write expressions in equivalent forms to solve problems. [Quadratic and exponential]
Standard:
Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.* Use the properties of exponents to transform expressions for exponential functions. For example, the expression 1.15^t can be rewritten as (1.15^1/12)^12t ≈ 1.012^12t to reveal the approximate equivalent monthly interest rate if the annual rate is 15%.*
Standard Identifier: F-BF.4.a
Grade Range:
8–12
Content Area:
Mathematics
Category:
Building Functions
Cluster:
Build new functions from existing functions. [Quadratic, absolute value]
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. For example, f(x) =2x^3.
Build new functions from existing functions. [Quadratic, absolute value]
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. For example, f(x) =2x^3.
Standard Identifier: F-LE.3
Grade Range:
8–12
Content Area:
Mathematics
Category:
Linear, Quadratic, and Exponential Models
Cluster:
Construct and compare linear, quadratic, and exponential models and solve problems. [Include quadratic.]
Standard:
Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function. *
Construct and compare linear, quadratic, and exponential models and solve problems. [Include quadratic.]
Standard:
Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function. *
Standard Identifier: G-GMD.1
Grade Range:
8–12
Content Area:
Mathematics
Category:
Geometric Measurement and Dimension
Cluster:
Explain volume formulas and use them to solve problems.
Standard:
Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. Use dissection arguments, Cavalieri’s principle, and informal limit arguments.
Explain volume formulas and use them to solve problems.
Standard:
Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. Use dissection arguments, Cavalieri’s principle, and informal limit arguments.
Standard Identifier: G-GMD.1
Grade Range:
8–12
Content Area:
Mathematics
Category:
Geometric Measurement and Dimension
Cluster:
Explain volume formulas and use them to solve problems.
Standard:
Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. Use dissection arguments, Cavalieri’s principle, and informal limit arguments.
Explain volume formulas and use them to solve problems.
Standard:
Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. Use dissection arguments, Cavalieri’s principle, and informal limit arguments.
Standard Identifier: G-GMD.3
Grade Range:
8–12
Content Area:
Mathematics
Category:
Geometric Measurement and Dimension
Cluster:
Explain volume formulas and use them to solve problems.
Standard:
Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems. *
Explain volume formulas and use them to solve problems.
Standard:
Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems. *
Standard Identifier: G-GMD.3
Grade Range:
8–12
Content Area:
Mathematics
Category:
Geometric Measurement and Dimension
Cluster:
Explain volume formulas and use them to solve problems.
Standard:
Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems. *
Explain volume formulas and use them to solve problems.
Standard:
Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems. *
Showing 521 - 530 of 664 Standards
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