Unit 3 - Geometry Curriculum - Math
Teacher Resources
Investigation 1
- Overview
- Activity 3.1.1 Sums of Interior Angles of Triangles and Quadrilaterals
- Activity 3.1.2a Proving the Triangle Sum Theorem
- Activity 3.1.2b Proving the Triangle Sum Theorem
- Activity 3.1.3a Proving the Quadrilateral Sum Theorem
- Activity 3.1.3b Proving the Quadrilateral Sum Theorem
- Activity 3.1.4 The Polygon Angle Sum Theorem
- Activity 3.1.5 Applications of the Triangle, Quadrilateral and Polygon Angle Sum Theorems
- Activity 3.1.6 Angle-Angle-Side Congruency
Investigation 2
- Overview
- Activity 3.2.1a Discovering Inequalities in Triangles
- Activity 3.2.1b Discovering Inequalities in Triangles
- Activity 3.2.2 Exterior Angles of Polygons
- Activity 3.2.3 Sides and Angles in a Triangle
- Activity 3.2.4 The Triangle Inequality Theorem
- Activity 3.2.5 Possible or Impossible
- Activity 3.2.6 Design a Triangle
Investigation 3
- Overview
- Activity 3.3.1 Parallel and Perpendicular Lines
- Activity 3.2.2 Parallel Lines Corresponding Angles Converse
- Activity 3.3.3 Proving Lines are Parallel
- Activity 3.3.4a Constructing Parallel Lines
- Activity 3.3.4b Constructing Parallel Lines
- Activity 3.3.5 Proofs with Parallel Lines
Investigation 4
- Overview
- Activity 3.4.1 Exterior Angles of a Polygon
- Activity 3.4.2 Angles in Regular Polygons
- Activity 3.4.3 Applying Angle Properties in Regular Polygons
- Activity 3.4.4 Constructing Regular Polygons with Compass and Straightedge
- Activity 3.4.5 Constructing Regular Polygons with Other Tools
- Activity 3.4.6 Lines of Symmetry in Regular Polygons
Investigation 5
- Overview
- Activity 3.5.1 Classifying Quadrilaterals
- Activity 3.5.2a Diagonals of Quadrilaterals
- Activity 3.5.2b Diagonals of Quadrilaterals with Geogebra
- Activity 3.5.3 Symmetry in Quadrilaterals
- Activity 3.5.4 Properties of Parallelograms
- Activity 3.5.5 Sufficient Conditions for Parallelograms
- Activity 3.5.6a Rectangles and Rhombuses
- Activity 3.5.6b Rectangles and Rhombuses
- Activity 3.5.7 Areas of Quadrilaterals
Investigation 6
- Overview
- Activity 3.6.1 Properties of Quadrilaterals on the Coordinate Plane
- Activity 3.6.2 Variables for Coordinates
- Activity 3.6.3 Quadrilaterals in Standard Position
- Activity 3.6.4 Converses of Quadrilateral Theorems
- Activity 3.6.5 Midsegments
- Activity 3.6.6 Medians and Centroids