Math
- Number Sense
- Ratios and Proportional Reasoning – Students continue to use ratio and rate language, compute using unit rates, and use proportional relationships to solve real-world problems involving ratios and percents.
- Algebra and Functions
- Geometry and Measurement
- Data Analysis, Statistics, and Probability
Indiana Math
Geometry: Circles
G.CI.1
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
The relationship that exists between central, inscribed, and circumscribed angles;
- 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
Inscribed angles on a diameter are right angles; and
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The radius of a circle is perpendicular to a tangent where the radius intersects the circle.
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G.CI.3
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 circle intuition
- Area of a sector
- Area of a sector
- Cavalieri's principle in 2D
- Cavalieri's principle in 3D
- Cavalieri's principle in 3D
- 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