Day 1 - Classifying Triangles
- Acute vs. Obtuse triangles
- Scalene, Isosceles, and Equilateral triangles
- Right triangles
*Exploration with GSP: Learning
to construct triangles
Day 2 - Measuring Angles
- Angle Sum Theorem
- Exterior Angle Theorem
- Third Angle Theorem
- Remote Interior Angles
*Exploration with GSP: Measuring
Angles
Day 3 and 4 - Congruent Triangles
- Definition of congruent triangles
- Properties of congruent triangles
- SSS congruency
- SAS congruency
- ASA congruency
- AAS congruency
- Isosceles Triangle Theorem
*Exploration with GSP: Measuring lengths of sides
Day 5 - Special Segments in Triangles
- The perpendicular bisector
- The median
- The altitude
- The angle bisector
*Exploration with GSP: Constructing
special segments
Day 6 and 7 - Angle Inequalities
- Definition of inequality
- Exterior Angle Inequality Theorem
- Triangle Inequality Theorem
- Inequalities with 2 triangles
i) SAS Inequality Theorem
ii) SSS Inequality Theorem
Day 8 - Right Triangles
- Special congruencies
i)Legs of a Right Triangle Congruency
ii) Hypotenuse and Acute Angle Congruency Theorem
iii) Leg and Acute Angle Congruency Theorem
iv) Hypotenuse and Leg Conruency Theorem
- Special right triangles
i) 45 - 45 - 90
ii) 30 - 60 - 90
*Exploration with GSP: Constructing
a right triangle
Day 9 and 10 - Special Properties of Right Triangles
- Geometric Mean
- Properties of the altitude from a right angle
- Pythagorean Theorem
*Exploration with GSP: Construct squares from sides of a right triangle
to see visual of Pythagorean Theorem