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Math

Algebra

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Geometry

Angles

Angle Measurement

Understanding And Measuring Angles

Understanding That An Angle That Turns Through 'n' One-degree Angles Has An Angle Measure Of 'n' Degrees

Angle Relationships

Solving Equations For Unknown Angles

Solving Problems Involving Angles And Equations

Applying Facts About Complementary Angles To Solve Problems

Applying Facts About Supplementary Angles To Solve Problems

Applying Facts About Two Or More Types Of Angles (vertically Opposite, Complementary, Supplementary, Adjacent) To Solve Problems

Applying Facts About Vertically Opposite Angles To Solve Problems

Understanding Triangle Angles & Similarity

Understanding And Measuring Angles

Understanding That An Angle That Turns Through 'n' One-degree Angles Has An Angle Measure Of 'n' Degrees

Drawing Angles

Acute, Obtuse, And Right Angles

Naming Angles Using Points

Problem Solving With Angles

Unknown Angles

Understanding Angles

Additive Property Of Angles

Angle Measurement

Area

Circles

Applying The Understanding Of The Area Of A Circle To Solve Problems

Deriving The Relationship Between The Circumference And Area Of A Circle

Recalling And Using The Formulae For The Area Of A Circle To Solve Problems

Circle Area & Circumference Formulas Usage

Irregular Shapes

Measuring And Estimating Area Of Miscellaneous Shapes

Calculating And Comparing Areas Of Similar Polygons

Calculating Areas Of Irregular Polygons

Polygons

Area Of Irregular Figures

Area Of Quadrilaterals

Area Of Triangles

Area And Volume

Area

Measuring And Estimating Area Of Miscellaneous Shapes

Calculating Areas Of Irregular Polygons

Volume

Basic Geometry

Expressing Properties With Equations

Solving Geometry Problems With Line Slopes

Fundamental Concepts

Proving Theorems: Lines & Angles

Understanding Basic Geometry Definitions

Understanding And Measuring Angles

Understanding That An Angle That Turns Through 'n' One-degree Angles Has An Angle Measure Of 'n' Degrees

Geometric Elements

Drawing And Identifying Geometric Elements

Drawing And Understanding Skew Lines And Planes

Drawing And Identifying Pairs Of Lines

Drawing And Identifying Parallel And/or Perpendicular Lines

Geometric Properties

Proving And Using Geometric Properties

Using The Angle Bisector Theorem To Solve Problems

Using The Perpendicular Bisector Theorem To Solve Problems

Geometric Terminology

Naming Geometric Elements

Naming Points, Line Segments, Rays, Lines And Planes

Understanding Key Terms

Knowing Precise Definitions Of Line Segments, Perpendicular Lines And Parallel Lines

Geometry Terminology

Naming Geometric Elements

Naming Points, Line Segments, Rays, Lines And Planes

Understanding Key Terms

Knowing Precise Definitions Of Line Segments, Perpendicular Lines And Parallel Lines

Circles And Conic Sections

Advanced Conic Sections

Deriving Equations Of Ellipses & Hyperbolas

Understanding Equations And Properties About Conic Sections

Deriving The Equation Of A Parabola Given A Focus And Directrix

Angles And Measurement

Defining Key Terms Related To Circles

Converting Between Radian And Degree Measures And Vice Versa

Defining Lines And Line Segments Associated With Circles (radius, Diameter, Chord, Secant And Tangent)

Understanding And Measuring Angles

Understanding That An Angle That Turns Through 'n' One-degree Angles Has An Angle Measure Of 'n' Degrees

Applications Of Circles

Deriving And Using The Equation Of A Circle

Solving Problems Involving Equation Of A Circle

Understanding And Applying Theorems And Properties About Circles

Solving Problems Related To Arcs Of Circles (including Arc Theorems)

Solving Problems Related To Central, Inscribed And Circumscribed Angles (including Angle Theorems)

Solving Problems Related To Chords Of Circles (including Chord Theorems)

Solving Problems Related To The Area Of A Sector Of A Circle

Circle Properties

Deriving & Finding Circle's Equation & Radius

Deriving Arc Length, Radian Measure & Sector Area

Equation Derivation Of Parabola From Focus & Directrix

Inscribed & Circumscribed Circles, Quadrilateral Angles

Inscribed Angles, Radii & Chords Relations

Proving Similarity Of All Circles

Circle Terminology

Defining Key Terms Related To Circles

Converting Between Radian And Degree Measures And Vice Versa

Defining Lines And Line Segments Associated With Circles (radius, Diameter, Chord, Secant And Tangent)

Circles

Circle Applications

Defining Key Terms Related To Circles

Converting Between Radian And Degree Measures And Vice Versa

Defining Lines And Line Segments Associated With Circles (radius, Diameter, Chord, Secant And Tangent)

Deriving And Using The Equation Of A Circle

Solving Problems Involving Equation Of A Circle

Understanding And Applying Theorems And Properties About Circles

Solving Problems Related To Arcs Of Circles (including Arc Theorems)

Solving Problems Related To Central, Inscribed And Circumscribed Angles (including Angle Theorems)

Solving Problems Related To Chords Of Circles (including Chord Theorems)

Solving Problems Related To The Area Of A Sector Of A Circle

Circle Properties

Deriving & Finding Circle's Equation & Radius

Deriving Arc Length, Radian Measure & Sector Area

Equation Derivation Of Parabola From Focus & Directrix

Inscribed & Circumscribed Circles, Quadrilateral Angles

Inscribed Angles, Radii & Chords Relations

Proving Similarity Of All Circles

Deriving & Finding Circle's Equation & Radius

Deriving Arc Length, Radian Measure & Sector Area

Deriving And Using The Equation Of A Circle

Solving Problems Involving Equation Of A Circle

Equation Derivation Of Parabola From Focus & Directrix

Inscribed & Circumscribed Circles, Quadrilateral Angles

Inscribed Angles, Radii & Chords Relations

Proving Similarity Of All Circles

Understanding And Applying Theorems And Properties About Circles

Solving Problems Related To Arcs Of Circles (including Arc Theorems)

Solving Problems Related To Central, Inscribed And Circumscribed Angles (including Angle Theorems)

Solving Problems Related To Chords Of Circles (including Chord Theorems)

Solving Problems Related To The Area Of A Sector Of A Circle

Conic Sections

Deriving Equations Of Ellipses & Hyperbolas

Understanding Equations And Properties About Conic Sections

Deriving The Equation Of A Parabola Given A Focus And Directrix

Composing Shapes

Building With Shapes

Combining Shapes

Congruence And Similarity

Applications

Applying Congruency And/or Similarity To Solve Problems

Use Congruency Criteria To Solve Problems

Use Similarity Criteria To Solve Problems

Congruence

Applying Congruency To Solve Problems

Use Congruency Criteria To Solve Problems

Congruence Of Triangles Via Rigid Motions

Transforming Figures & Determining Congruence

Triangle Congruence Via Rigid Motions

Understanding Congruency

Establishing The Conditions Necessary For Two Triangles To Be Congruent

Reasoning How Two Figures Are Congruent Using Transformations

Similarity

Applying Similarity To Solve Problems

Use Similarity Criteria To Solve Problems

Establishing Aa Criterion For Similar Triangles

Identifying Similarity In Triangles Using Transformations

Triangle Congruence & Similarity Problem Solving

Understanding Similarity

Describing A Sequence Of Transformations To Demonstrate Similarity Between Two Figures

Establishing The Conditions Necessary For Two Triangles To Be Similar

Identifying Similar Figures

Mathematical Practices

Mathematics Connections

Measurement

Measurement And Data

Number System

Ratios And Proportional Relationships

Statistics And Probability

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Circle Terminology Passages

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Geometry Concepts - Circle Properties - Geometry

9th Grade - 12th Grade

Math

Gain a thorough understanding of circle properties by exploring arc measurements and sector areas. Develop skills in calculating angles and circumferences, building a comprehensive foundation in geometry.

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