Contenido principal
Math
- Arithmetic with Polynomials and Rational Expressions
- Reasoning with Equations and Inequalities
- Structure and Expressions
- Building Functions
- Interpreting Functions
- Linear, Quadratic, and Exponential
- Trigonometry
- Circles
- Expressing Geometric Properties with Equations
- Similarity, Right Triangles, and Trigonometry
- Complex Number System
- Vector and Matrix Quantities
South Carolina Math
Geometry: Circles
G.GCI.1
Fully covered
G.GCI.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.GCI.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
G.GCI.4
Fully covered
G.GCI.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