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Geometry

IV. Classes 4-5

A. Participants engage in Triangle Investigations.

Participants should choose investigations that involve:

- Classifying triangles according to their properties (e.g. acute, obtuse, right, isosceles, equilateral, equiangular, scalene)
- Solving problems involving the area and perimeter of triangles
- Making graphical representations of triangles and shapes composed of triangles
- Using Pythogorean Theorem, right triangle rules (30-60-90, 45-45-90) and ratios for sine, cosine and tangent of angles to solve problems
1) Week 4: Choose from recommended investigations concerned with classifying and investigating a variety of triangles

2) Week 5: Choose from investigations focused on area, perimeter, and trigonometry with triangles

B. Participants add write-ups to their online portfolios

C. Introduction of the spreadsheet programTriangle investigations using the spreadsheet program:

Additional Resources for Weeks 4-5

- Dictionary Terms with Comprehensive Activities

- Acute Triangle
- Altitude of a Triangle
- Centroid
- Circumcenter
- Congruent Triangles
- Equiangular Triangle
- Equilateral Triangle
- Hypotenuse
- Isosceles Triangle
- Leg of a Triangle
- Median of a Triangle
- Obtuse Triangle
- Orthocenter
- Pythagorean Theorem
- Pythagorean Triple
- Right Triangle
- Scalene Triangle
- Tangent
- Tangent Line
- Triangle Inequality
- External Resources
Return to the Geometry Syllabus.