- 1. TE Introduction to Geometry - TI
A brief overview of the following lessons.
- 2. TE Basics of Geometry - TI
This chapter includes activities that allow students to explore distances, midpoints, and angle pairs in the coordinate plane.
- 3. TE Reasoning and Proof - TI
This chapter tasks students with examining conditional statements in order to derive logical statements through inductive and deductive reasoning.
- 4. TE Parallel and Perpendicular Lines - TI
This chapter explores the properties of angles and slopes formed by parallel and perpendicular lines, especially when cut by transversals.
- 5. TE Congruent Triangles - TI
This chapter focuses on investigating side and angle relationships in congruent triangles as well as making conjectures based on interior and exterior angles. Also covered are the conditions for congruence.
- 6. TE Relationships within Triangles - TI
This chapter utilizes exercises that cover the perpendicular bisector theorem, angle bisector theorem, and the median and centroid of a triangle.
- 7. TE Quadrilaterals - TI
This chapter explores the properties of various quadrilaterals, including parallelograms, trapezoids, rhombi, and kites.
- 8. TE Similarity - TI
This chapter allows students to investigate various methods of constructing similar triangles including utilizing the side-splitter theorem.
- 9. TE Right Triangle Trigonometry - TI
This chapter tasks students with proving the Pythagorean theorem using the Cabri Jr. application in addition to covering the properties of special triangles such as the 45-45-90, 30-60-90, and isosceles triangles.
- 10. TE Circles - TI
This chapter includes exercises which ask students to deduce corollaries for the perpendicular bisector theorem, discover the inscribed angle theorem, and find the chord-chord, secant-secant, and secant-tangent theorems.
- 11. TE Perimeter and Area - TI
This chapter allows students to explore the relationship between a circle’s circumference and its diameter as well as the area of regular polygons in terms of the apothem and the perimeter.
- 12. TE Surface Area and Volume - TI
This chapter explores the net representation of a right cylinder, allowing students to develop the surface area from parts of the net.
- 13. TE Transformations - TI
This chapter covers transformation concepts such as reflections, rotations, translations, and dilations. Students are also introduced to drawing from both one and two point perspectives.