Mathematics Standards
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Building Functions
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Circles
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Geometry
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Making Inferences and Justifying Conclusions
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The Complex Number System
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The Number System
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Using Probability to Make Decisions
Results
Showing 61 - 70 of 141 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: 8.G.1.a
Grade:
8
Domain:
Geometry
Cluster:
Understand congruence and similarity using physical models, transparencies, or geometry software.
Standard:
Verify experimentally the properties of rotations, reflections, and translations: Lines are taken to lines, and line segments to line segments of the same length.
Understand congruence and similarity using physical models, transparencies, or geometry software.
Standard:
Verify experimentally the properties of rotations, reflections, and translations: Lines are taken to lines, and line segments to line segments of the same length.
Standard Identifier: 8.G.1.b
Grade:
8
Domain:
Geometry
Cluster:
Understand congruence and similarity using physical models, transparencies, or geometry software.
Standard:
Verify experimentally the properties of rotations, reflections, and translations: Angles are taken to angles of the same measure.
Understand congruence and similarity using physical models, transparencies, or geometry software.
Standard:
Verify experimentally the properties of rotations, reflections, and translations: Angles are taken to angles of the same measure.
Standard Identifier: 8.G.1.c
Grade:
8
Domain:
Geometry
Cluster:
Understand congruence and similarity using physical models, transparencies, or geometry software.
Standard:
Verify experimentally the properties of rotations, reflections, and translations: Parallel lines are taken to parallel lines.
Understand congruence and similarity using physical models, transparencies, or geometry software.
Standard:
Verify experimentally the properties of rotations, reflections, and translations: Parallel lines are taken to parallel lines.
Standard Identifier: 8.G.2
Grade:
8
Domain:
Geometry
Cluster:
Understand congruence and similarity using physical models, transparencies, or geometry software.
Standard:
Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them.
Understand congruence and similarity using physical models, transparencies, or geometry software.
Standard:
Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them.
Standard Identifier: 8.G.3
Grade:
8
Domain:
Geometry
Cluster:
Understand congruence and similarity using physical models, transparencies, or geometry software.
Standard:
Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.
Understand congruence and similarity using physical models, transparencies, or geometry software.
Standard:
Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.
Standard Identifier: 8.G.4
Grade:
8
Domain:
Geometry
Cluster:
Understand congruence and similarity using physical models, transparencies, or geometry software.
Standard:
Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them.
Understand congruence and similarity using physical models, transparencies, or geometry software.
Standard:
Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them.
Standard Identifier: 8.G.5
Grade:
8
Domain:
Geometry
Cluster:
Understand congruence and similarity using physical models, transparencies, or geometry software.
Standard:
Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles. For example, arrange three copies of the same triangle so that the sum of the three angles appears to form a line, and give an argument in terms of transversals why this is so.
Understand congruence and similarity using physical models, transparencies, or geometry software.
Standard:
Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles. For example, arrange three copies of the same triangle so that the sum of the three angles appears to form a line, and give an argument in terms of transversals why this is so.
Standard Identifier: 8.G.6
Grade:
8
Domain:
Geometry
Cluster:
Understand and apply the Pythagorean Theorem.
Standard:
Explain a proof of the Pythagorean Theorem and its converse.
Understand and apply the Pythagorean Theorem.
Standard:
Explain a proof of the Pythagorean Theorem and its converse.
Showing 61 - 70 of 141 Standards
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