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Math
- Number and Quantity: The Real Number System
- Algebra: Seeing Structure in Expressions
- Algebra: Arithmetic with Polynomial Expressions
- Algebra: Creating Equations
- Algebra: Reasoning with Equations and Inequalities
- Functions: Interpreting Functions
- Functions: Building Functions
- Functions: Linear, Quadratic, and Exponential Models
- Geometry: Expressing Geometric Properties with Equations
- Statistics and Probability: Interpreting Categorical and Quantitative Data
- Number and Quantity: The Real Number System
- Number and Quantity: The Complex Number System
- Algebra: Seeing Structure in Expressions
- Algebra: Arithmetic with Polynomial and Rational Expressions
- Algebra: Creating Equations
- Algebra: Reasoning with Equations and Inequalities
- Functions: Interpreting Functions
- Functions: Building Functions
- Geometry: Congruence
- Geometry: Similarity, Right Triangles, and Trigonometry
- Statistics and Probability: Making Inference and Justifying Conclusions
- Statistics and Probability: Conditional Probability and the Rules for Probability
- Number and Quantity: The Complex Number System
- Algebra: Seeing Structure in Expressions
- Algebra: Arithmetic with Polynomial and Rational Expressions
- Algebra: Creating Equations
- Algebra: Reasoning with Equations and Inequalities
- Functions: Interpreting Functions
- Functions: Building Functions
- Functions: Linear, Quadratic, and Exponential Models
- Functions: Trigonometric Functions
- Geometry: Congruence
- Geometry: Circles
- Geometry: Expressing Geometric Properties with Equations
- Geometry: Geometric Measurement & Dimension
- Geometry: Modeling with Geometry
- Statistics and Probability: Making Inference and Justifying Conclusions
North Carolina Math
Math 3: Geometry: Circles
Understand and apply theorems about circles.
NC.M3.G-C.2a
Partially 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
NC.M3.G-C.2b
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
NC.M3.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
- Proof: all circles are similar
- Radians & arc length
- Radians & degrees
- Radians & degrees
- Radians as ratio of arc length to radius
- Radians to degrees
- Similarity & transformations
- Subtended angle from arc length