- CCSS High School: Geometry (Circles)
- HSG.C.A.1: Prove all circles are similar
- HSG.C.A.2: Circle theorems
- HSG.C.A.3: Circumscribing & inscribing circles in triangles; Cyclic quadrilaterals
- HSG.C.A.4: Constructing tangents to circles
- HSG.C.B.5: Arc length, sector area, radian measure
- Links to Other CCSS High School: Geometry Standards
- Additional - Links to CCSS High School: Functions Resources
CCSS High School: Geometry (Circles)
- Author:
- Tim Brzezinski
This GeoGebra Book contains lots of discovery-based learning activities, investigations, and meaningful remediation worksheets that were designed to help enhance students' learning of geometry concepts both inside and outside of the mathematics classroom.
This GeoGebra Book also contains contributions from from Dr. Ted Coe (https://www.geogebra.org/tedcoe)
Table of Contents
HSG.C.A.1: Prove all circles are similar
HSG.C.A.2: Circle theorems
- Circle Terminology
- Circle Tangent-Types Illustrator
- Properties of Tangents Drawn to Circles (A)
- Properties of Tangents (B)
- Animation 3
- Constructing Tangents: Ex. 12
- Tangents to Circles: Investigation
- Where to Sit? (I)
- Where to Sit (II)?
- Inscribed Angle Theorem (V1)
- Animation 12
- Inscribed Angle Theorem: Take 2!
- Inscribed Angle Theorems: Take 3!
- Inscribed Angle Theorem: Take 4!
- Proof Exercise: Inscribed Angle Theorem (Case 1)
- Proof Exercise: Inscribed Angle Theorem (Case 2)
- Proof Exercise: Inscribed Angle Theorem (Case 3)
- Inscribed Angle Theorems: Take 4!
- Inscribed Angle Theorem: Corollary 1
- Inscribed Angle Theorem Dance: Take 2!
- Animation 20 (Inscribed Angle Dance!)
- Find that Angle! (GoGeometry Action 144)
- Thales' Theorem (VA)
- Animation 116
- Thales' Theorem (VB)
- Animation 54
- Angle Formed by Chord & Tangent (I)
- Animation 50
- Angle Formed by Chord & Tangent (II)
- Animation 78
- Congruent Chords: Quick Investigation
- Congruent Chords (I)
- Animation 76
- Diameters & Chords I (VA)
- Diameters & Chords I (VB)
- Animation 24
- Congruent Chords Action (A)
- Animation 96
- Equidistant Chord Action
- Animation 101
- Angle Formed by 2 Chords (I)
- Animation 32
- Angle Formed by 2 Chords (II)
- Animation 33
- Angles from Secants and Tangents (V1)
- Animation 61
- Angle From 2 Secants (V2)
- Animation 45
- Crossing Chords: Proof Hint
- Animation 79
- Crossing Chords Property & Proof Start
- Crossing Chords Property & Proof Start (II)
- Secants: Proof Hint
- Animation 88
- Animation 92
HSG.C.A.3: Circumscribing & inscribing circles in triangles; Cyclic quadrilaterals
- Circumcircle: Construction Exercise (VA)
- Circumcircle: Construction Exercise (VB)
- Circumcircle: Construction Exercise (VC)
- Making Perpendicular Bisectors: Ex. 9
- Incircle: Construction Exercise (VA)
- Incircle: Construction Exercise (VB)
- Constructing Angle Bisectors: Ex. 11
- Cyclic Quadrilaterals (IAT: Corollary 3)
- Animation 43
- Cyclic Quadrilateral: Proof Hint
- Cyclic Quadrilateral: Quick Warm Up (GoGeometry Action 149!)
- Where in NYC? (VA)
- Where in NYC? (VB)
- Where in NYC? (VC)
HSG.C.A.4: Constructing tangents to circles
HSG.C.B.5: Arc length, sector area, radian measure
Links to Other CCSS High School: Geometry Standards
Additional - Links to CCSS High School: Functions Resources