Outline
CCSS High School: Geometry
This GeoGebra Book contains hundreds 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.
his GeoGebra Book also contains contributions from the following individuals and organizations:
Anthony C.M. OR
Steve Phelps
Jennifer Silverman
Dr. Ted Coe
sonom
Samantha Cruz
Terry Lee Lindenmuth
Raúl Manuel Falcón Ganfornina
Walch Education
EDC in Maine
Without their amazing talent and creativity, this resource would not have been possible.
Table of Contents
Welcome! (Introduction)
HSG.CO.A.1
- Congruent Segments: Quick Exploration
- Animation 18
- Congruent Angles: Definition
- Animation 36
- Midpoint Definition
- Animation 56
- Segment Bisectors (Definitions)
- Perpendicular Bisector Definition
- Animation 15
- Angle Bisector Definition (I)
- Complementary Meaning?
- Animation 48
- Supplementary Angles (Quick Exploration)
- Animation 19
- Circle vs. Sphere
HSG.CO.A.2, A.3, A.4, A.5
- Translations and Rotations
- Translating Triangle by a Vector
- Reflections
- Reflections Introduction
- Flip Flop Reflection
- Tool for compositions of rigid transformations and dilations
- Applet for Multiple Transformations
- Messing With Lisa
- Rotations: Introduction
- Reflections and Translations
- Tessellation by Translation
- Parallel Translation
- Transformations: Exercise 1
- Transformations: Exercise 2
- Transformations: Exercise 3
HSG.CO.B.6
HSG.CO.B.7
HSG.CO.B.8
HSG.CO.C.9
- Vertical Angles Theorem
- Animation 1
- Exploring Corresponding Angles (V2)
- Alternate Interior Angles Theorem (V1)
- Exploring Alternate Interior Angles (V2)
- Alternate Interior Angles Theorem (V3)
- Animation 16
- Alternate Exterior Angles Theorem (V1)
- Exploring Alternate Exterior Angles (V2)
- Animation 39
- Animation 60
- Same Side Interior Angles Theorem
- Animation 29
- Exploring Same Side Exterior Angles
- Animation 73
- Solution to Parallel Lines & Angles Problem
- A Special Theorem: Part 1 (V1)
- A Special Theorem: Part 2 (V1)
- Animation 57
- Another Special Theorem: Part 1 (V1)
- Another Special Theorem: Part 2 (V1)
- Animation 58
HSG.CO.C.10
- Area of a Triangle (Discovery)
- Triangle Angle Theorems
- Triangle Angle Theorems (V2)
- Transformation Proof 3
- Triangle Angle Sum Theorem
- Animation 2
- Triangle Exterior Angle
- Exterior Angles of a Triangle
- Animation 22
- Isosceles Triangle Theorem: Discovery Lab
- A Special Triangle & Its Properties (I)
- Animation 8
- Converse of IST (V1)
- Animation 82
- Animation 23
- Another Special Triangle and its Properties (II)
- Animation 27
- Converse of IST (II)
- Animation 84
- Special Right Triangle (I)
- Animation 59
- Special Right Triangle (II)
- Another Special Right Triangle (Guided Discovery)
- Animation 42
- Triangle Midsegment Action!
- Midsegment of a Triangle
- Points of Concurrency: Investigation
- Orthocenter Exploration
- Circumcenter (& Questions)
- Circumcenter & Circumcircle Action!
- Animation 28
- Midpoint of HYP
- Animation 46
- Incenter Exploration (A)
- Incenter Exploration (B)
- Incenter & Incircle Action!
- Animation 17
- Medians Centroid Theorem (Proof without Words)
- Medians and Centroid Dance
- Animation 25
- Medians & Equal Areas!
- Animation 74
- Animation 90
- Euler Line (Informal Investigation)
- Napoleon Motion!
- Animation 14
- Vivani Action!
- Equilateral Action (1)!
- Animation 91
- Equilateral Action (2)!
- Animation 94
- Equilateral Action (3)!
- 9 Point Circle Action
- 9-Point Circle Action (Part 2)
- 9-Point Circle Action (Part 3A)
- 9-Point Circle Action (Part 3B)
- 9-Point Circle Action (Part 4)
- 9-Point Circle (Informal Investigation)
- Euler Line Generator
HSG.CO.C.11
- Parallelogram: Area
- Parallelogram Construction Template & Discovery Lab
- Parallelogram Template (Scaffolded Discovery)
- Parallelogram Template
- Parallelograms (I)
- Animation 75
- Animation 80
- Animation 6
- What Kind of Quadrilateral is This? (Part 1)
- Congruent Opposite Sides of a Quadrilateral
- Quadrilateral With Opposite Angles Congruent
- What Kind of Quad?
- Quadrilateral Investigation (I)
- Rhombus Action!
- Animation 11
- Rhombus Template (Scaffolded Investigation)
- Rhombus Template
- Rectangle Action!
- Animation 31
- Rectangle Template (Scaffolded Investigation)
- Rectangle Template with Investigation Questions
- Square Action!
- Animation 41
- Trapezoids: Median Investiagtion
- Trapezoid Median (Midsegment) Action!
- Animation 67
- Trapezoid Median: 2 Discoveries
- Isosceles Trapezoid Action!
- Animation 64
- Animation 35
- Isosceles Trapezoid Template (Scaffolded Investigation)
- Isosceles Trapezoid Template
- Animation 49
- Kite Action!
- Animation 26
- Kite Template (Scaffolded Investigation)
- Quad Midpoints Action!
- Thebault Action!!!
- Animation 83
HSG.CO.D.12
- Congruent Segments Construction (I)
- Congruent Angle: Construction
- Angle Bisector: Construction
- Perpendicular Line: Construction 1
- Perpendicular Line: Construction 2
- Perpendicular Bisector: Construction
- Parallel Line: Constructions
- Congruent Triangle: Construction
- Other Constructions: 1
- Other Constructions: 2
- Centroid Construction Challenge #1
- Possible Solution for Centroid Challenge #1
- Centroid Construction Challenge #2
- Possible Solution for Centroid Construction Challenge #2
- Centroid Construction Challenge #3
- Possible solution to Centroid Construction Challenge #3
- Triangle Construction Challenge #1
- Possible solution to Triangle Construction Challenge #1
- Triangle Consruction Challenge #2
- Possible solution to Triangle Construction Challenge #2
- Triangle Construction Challenge #3
- Potential solution for Triangle Construction Challenge #3
- Bizzare Trisection?
HSG.CO.D.13
HSG.SRT.A.1, A.1.A, A.1.B
HSG.SRT.A.2
HSG.SRT.A.3
HSG.SRT.B.4 & B.5
- SAS ~ Theorem
- SSS ~ Theorem (V1)
- Animation 63
- SSS ~ Theorem (V2)
- SSSS: Similar Quads?
- Similar Right Triangles (V1)
- Animation 13
- Pythagorean and similar triangles.
- Parallel Lines Proportionality Theorem
- Triangle-Angle Bisector Theorem
- Animation 81
- Proof Without Words
- Proof Without Words
- Proof Without Words
- Proof Without Words
- Proof Without Words
- Proof Without Words
- Proof Without Words
- Proof Without Words
- Proof Without Words
- Proof Without Words
- Wordless Pythagorean Theorem based on Translations
HSG.SRT.C.6 & C.7 & C.8
HSG.SRT.D.9 & D.10 & D.11
HSG.C.A.1
HSG.C.A.2
- Circle Terminology
- Properties of Tangents Drawn to Circles (A)
- Properties of Tangents Drawn to Circles (B)
- Animation 3
- Where to Sit? (I)
- Where to Sit (II)?
- Inscribed Angle Theorem (V1)
- Animation 12
- Inscribed Angle Theorem: Corollary 1
- Animation 20 (Inscribed Angle Dance!)
- Thales' Theorem (VB)
- Animation 54
- Angle Formed by Chord & Tangent (I)
- Animation 50
- Angle Formed by Chord & Tangent (II)
- Animation 78
- 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
- Tangents to Circles: Investigation
HSG.C.A.3
HSG.C.A.4
HSG.C.B.5
HSG.GPE.A.1
HSG.GPE.A.2
HSG.GPE.A.3
HSG.GPE.B.4
- Parallelogram: Coordinate Geometry Setup
- Parallelogram Diagonals
- Isosceles Triangle Medians
- Rectangle Diagonals
- Isosceles Trapezoid Diagonals
- Isosceles Trapezoid Midpoints
- Rhombus Diagonals
- Inscribed Angle Intercepts Semicircle
- 3 Special Points!
- Slope to Angle Measure Calculator (I)
- Slope to Angle Measure Calculator (II)
HSG.GPE.B.5
HSG.GPE.B.6
HSG.GPE.B.7
HSG.GMD.A.1
- TRUE MEANING of π
- Circumference = ? (Animation)
- Animation 66
- Circumference = ? (Animation II)
- Animation 70
- Animation 65
- Circle Area (by Peeling)
- Circle Area (By Peeling!)
- Area of a Circle (III)
- Area of a Circle (by Peeling)
- Area of a Circle II
- Area of a Circle - without words (Animation 38)
- Figure 6.7 Cavalieri's principle
- Cavalieri's Principle
- Volume of a Rectangular Prism
- Trisecting the Cube into 3 Pyramids
- Volume of Pyramids
- Volume of Pyramids - Chinese Proof
HSG.GMD.A.2 & A.3
- Volume of Spheres
- Volume of Spheres with Proof
- A sphere in a cylinder.
- Surface Area of Spheres
- Volumes and Surface Areas of Similar Cuboids
- oblique and right pyramid - Cavalieri
- Right Triangular Prism!
- Adjustable Triangular Prism
- Right Circular Cylinder!
- Sphere Peeling: Volume
- Net of a Cone
- Curved Surface Area of Cones (Combined Version)
HSG.GMD.B.4
- Sections of Rectangular Prisms (Cuboids)
- Sections of Triangular Prisms
- Sections of Cylinders
- Sections of Rectangular Pyramids
- Sections of Triangular Pyramids
- Sections of Cones
- Sections of Spheres
- Exploring Sections of Cubes
- 11 Nets of the Cube
- Cube Geometry: Shortest Path Between Points - A Net
- Cube Dissection Problem
- Rotating a Triangle Around a Coordinate Axis
- Cross Section? (1)
HSG.MG.A.1 & A.2 & A.3