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Math
- Number and Quantity: The Real Number System (N-RN)
- Number and Quantity: Quantities (N-Q)
- Algebra: Expressions and Expressions (EE)
- Algebra: Seeing Structure in Expressions (A-SSE)
- Algebra: Arithmetic with Polynomials and Rational Expressions (A-APR)
- Algebra: Creating Equations (A-CED)
- Algebra: Reasoning with Equations and Inequalities (A-REI)
- Functions: Functions (F)
- Functions: Interpreting Functions (F-IF)
- Functions: Building Functions (F-BF)
- Functions: Linear, Quadratic, and Exponential Models (F-LE)
- Geometry: Geometry (G)
- Statistics and Probability: Statistics and Probability (SP)
- Statistics and Probability: Interpreting Categorical and Quantitative Data (S-ID)
- Number and Quantity: Quantities (N-Q)
- Algebra: Expressions and Expressions (EE)
- Algebra: Seeing Structure in Expressions (A-SSE)
- Algebra: Creating Equations (A-CED)
- Algebra: Reasoning with Equations and Inequalities (A-REI)
- Functions: Functions (F)
- Functions: Interpreting Functions (F-IF)
- Functions: Building Functions (F-BF)
- Functions: Linear, Quadratic, and Exponential Models (F-LE)
- Geometry: Geometry (G)
- Geometry: Congruence (G-CO)
- Statistics and Probability: Statistics and Probability (SP)
- Statistics and Probability: Interpreting Categorical and Quantitative Data (S-ID)
- Number and Quantity: The Real Number System (N-RN)
- Number and Quantity: Quantities (N-Q)
- Algebra: Seeing Structure in Expressions (A-SSE)
- Algebra: Arithmetic with Polynomials and Rational Expressions (A-APR)
- Algebra: Creating Equations (A-CED)
- Algebra: Reasoning with Equations and Inequalities (A-REI)
- Functions: Interpreting Functions (F-IF)
- Functions: Building Functions (F-BF)
- Functions: Linear, Quadratic, and Exponential Models (F-LE)
- Statistics and Probability: Interpreting Categorical and Quantitative Data (S-ID)
- Number and Quantity: The Real Number System (N-RN)
- Number and Quantity: Quantities (N-Q)
- Number and Quantity: The Complex Number System (N-CN)
- Algebra: Seeing Structure in Expressions (A-SSE)
- Algebra: Arithmetic with Polynomials and Rational Expressions (A-APR)
- Algebra: Creating Equations (A-CED)
- Algebra: Reasoning with Equations and Inequalities (A-REI)
- Functions: Interpreting Functions (F-IF)
- Functions: Building Functions (F-BF)
- Functions: Linear, Quadratic, and Exponential Models (F-LE)
- Functions: Trigonometric Functions (F-TF)
- Geometry: Expressing Geometric Properties with Equations (G-GPE)
- Statistics and Probability: Interpreting Categorical and Quantitative Data (S-ID)
- Statistics and Probability: Making Inferences and Justifying Conclusions (S-IC)
- Statistics and Probability: Conditional Probability and the Rules of Probability (S-CP)
- Number and Quantity: Quantities (N-Q)
- Algebra: Seeing Structure in Expressions (A-SSE)
- Algebra: Creating Equations (A-CED)
- Algebra: Reasoning with Equations and Inequalities (A-REI)
- Functions: Interpreting Functions (F-IF)
- Functions: Building Functions (F-BF)
- Functions: Linear, Quadratic, and Exponential Models (F-LE)
- Geometry: Congruence (G-CO)
- Statistics and Probability: Interpreting Categorical and Quantitative Data (S-ID)
- Number and Quantity: The Real Number System (N-RN)
- Number and Quantity: Quantities (N-Q)
- Number and Quantity: The Complex Number System (N-CN)
- Algebra: Seeing Structure in Expressions (A-SSE)
- Algebra: Arithmetic with Polynomials and Rational Expressions (A-APR)
- Algebra: Creating Equations (A-CED)
- Algebra: Reasoning with Equations and Inequalities (A-REI)
- Functions: Interpreting Functions (F-IF)
- Functions: Building Functions (F-BF)
- Geometry: Similarity, Right Triangles, and Trigonometry (G-SRT)
- Geometry: Geometric Measurement and Dimension (G-GMD)
- Statistics and Probability: Interpreting Categorical and Quantitative Data (S-ID)
- Statistics and Probability: Conditional Probability and the Rules of Probability (S-CP)
- Number and Quantity: Quantities (N-Q)
- Algebra: Seeing Structure in Expressions (A-SSE)
- Algebra: Arithmetic with Polynomials and Rational Expressions (A-APR)
- Algebra: Creating Equations (A-CED)
- Algebra: Reasoning with Equations and Inequalities (A-REI)
- Functions: Interpreting Functions (F-IF)
- Functions: Building Functions (F-BF)
- Functions: Linear, Quadratic, and Exponential Models (F-LE)
- Functions: Trigonometric Functions (F-TF)
- Geometry: Congruence (G-CO)
- Geometry: Circles (G-C)
- Geometry: Expressing Geometric Properties with Equations (G-GPE)
- Geometry: Geometric Measurement and Dimension (G-GMD)
- Geometry: Modeling with Geometry (G-MG)
- Statistics and Probability: Interpreting Categorical and Quantitative Data (S-ID)
- Statistics and Probability: Making Inferences and Justifying Conclusions (S-IC)
- Number and Quantity: The Complex Number System (N-CN)
- Number and Quantity: Vector and Matrix Quantities (N-VM)
- Algebra: Arithmetic with Polynomials and Rational Expressions (A-APR)
- Algebra: Reasoning with Equations and Inequalities (A-REI)
- Functions: Interpreting Functions (F-IF)
- Functions: Building Functions (F-BF)
- Functions: Trigonometric Functions (F-TF)
- Geometry: Similarity, Right Triangles, and Trigonometry (G-SRT)
- Geometry: Circles (G-C)
- Geometry: Expressing Geometric Properties with Equations (G-GPE)
- Geometry: Geometric Measurement and Dimension (G-GMD)
- Statistics and Probability: Conditional Probability and the Rules of Probability (S-CP)
- Statistics and Probability: Using Probability to Make Decisions (S-MD)
Mississippi Math
Integrated Mathematics III: Geometry: Circles (G-C)
Understand and apply theorems about circles
G-C.1
Fully covered
G-C.2
Partially covered
- Challenge problems: circumscribing shapes
- Challenge problems: Inscribed angles
- Challenge problems: Inscribed shapes
- Challenge problems: radius & tangent
- Circles glossary
- Determining tangent lines: angles
- Determining tangent lines: lengths
- Inscribed angle theorem proof
- Inscribed angle theorem proof
- Inscribed angles
- Inscribed angles
- Inscribed shapes
- Inscribed shapes: angle subtended by diameter
- Inscribed shapes: find diameter
- Inscribed shapes: find inscribed angle
- Proof: perpendicular radius bisects chord
- Proof: radius is perpendicular to a chord it bisects
- Proof: Radius is perpendicular to tangent line
- Proof: Right triangles inscribed in circles
- Proof: Segments tangent to circle from outside point are congruent
- Tangents of circles problem (example 1)
- Tangents of circles problem (example 2)
- Tangents of circles problem (example 3)
- Tangents of circles problems
G-C.3
Fully covered
- Geometric constructions: circle-inscribed equilateral triangle
- Geometric constructions: circle-inscribed regular hexagon
- Geometric constructions: circle-inscribed square
- Geometric constructions: triangle-circumscribing circle
- Geometric constructions: triangle-inscribing circle
- Inscribed quadrilaterals proof
- Solving inscribed quadrilaterals
Find arc lengths and areas of sectors of circles
G-C.5
Mostly covered
- Arc length
- Arc length as fraction of circumference
- Arc length from subtended angle
- Arc length from subtended angle: radians
- Arc measure
- Arc measure with equations
- Arcs, ratios, and radians
- Area of a sector
- Area of a sector
- Challenge problems: Arc length (radians) 1
- Challenge problems: Arc length (radians) 2
- Challenge problems: Arc length 1
- Challenge problems: Arc length 2
- Degrees to radians
- Finding arc measures
- Finding arc measures with equations
- Intro to arc measure
- Intro to radians
- Radians & arc length
- Radians & degrees
- Radians & degrees
- Radians as ratio of arc length to radius
- Radians to degrees
- Subtended angle from arc length