Unit 5 - Geometry Curriculum - Math
Teacher Resources
Investigation 1
- Overview
- Activity 5.1.1 Circles with Center at the Origin
- Activity 5.1.2 Circles Anywhere in the Coordinate Plane
- Activity 5.1.3 Completing the Square to Find Equations of Circles
Investigation 2
- Overview
- Activity 5.2.1a The Perpendicular Bisector as a Locus of Points (physical tools)
- Activity 5.2.1b The Perpendicular Bisector as a Locus of Points (Geogebra)
- Activity 5.2.2a Proof of the Perpendicular Bisector Theorem (open ended)
- Activity 5.2.2b Proof of the Perpendicular Bisector Theorem (scaffolded)
- Activity 5.2.3 Chords and Perpendicular Bisectors in a Circle
- Activity 5.2.4 Radii and Chords
- Activity 5.2.5a Locating the Center of a Circle (physical tools)
- Activity 5.2.5b Locating the Center of a Circle (Geogebra)
- Activity 5.2.6a Circumscribing a Circle about a Triangle (physical tools)
- Activity 5.2.6b Circumscribing a Circle about a Triangle (Geogebra)
Investigation 3
- Overview
- Activity 5.3.1 Radian Measure
- Activity 5.3.2 Radians and Arc Length
- Activity 5.3.3 Arcs and Sectors
- Activity 5.3.4 Applications of Arc Length and Sector Area
Investigation 4
- Overview
- Activity 5.4.1 Exploring Circles and Secants
- Activity 5.4.2 The Radius-Tangent Theorem
- Activity 5.4.3 Two Theorems Involving Right Triangles
- Activity 5.4.4 Applications of Tangents
- Activity 5.4.5 Tangents in the Coordinate Plane
Investigation 5
- Overview
- Activity 5.5.1 The Angle Bisector Theorem
- Activity 5.5.2 Inscribing a Circle in a Triangle
- Activity 5.5.3 Applying Tangents and Inscribed Circles
Investigation 6
- Overview
- Activity 5.6.1 Inscribed Angles and Intercepted Arcs
- Activity 5.6.2 Thales’ Theorem
- Activity 5.6.3 Cyclic Quadrilaterals
- Activity 5.6.4 Constructing Tangents to a Circle from an Outside Point (Optional)
- Activity 5.6.5 General Relationships between Arcs and Angles (Optional)
Investigation 7
- Overview
- Activity 5.7.1a Exploring the Parabola as a Locus of Points (Paper Folding)
- Activity 5.7.1b Deriving the Equation of a Parabola in Standard Form (GeoGebra)
- Activity 5.7.2a Parabolas in the Coordinate Plane (without technology)
- Activity 5.7.2b Parabolas in the Coordinate Plane (GeoGebra)
- Activity 5.7.3 The Equation of a Parabola in Standard Form
- Activity 5.7.4 Applications of Parabolas
- Activity 5.7.5 Translating Parabolas