This webquest would be appropriate for a high school Geometry class, which is typically grades 8-11. This webquest leaves room for many options. It could be used at the end of a school year, semester, or midterm as a review of what has been covered or it could be used with a specific topic and students could be limited to only that topic. Classroom textbooks may be another useful resource for this webquest, because all of the Geometric information is typically given there.
The Non-Euclidean Geometry could be reserved for advanced students. Non-Euclidean Geometry is more advanced and not always covered in Geometry classes.
The Area and Perimeter and Lines and Angles sections will probably be the easiest topics for students to complete, so it may be smart to save them for lower level students.
Standards:
Each topic covers falls under the Geometry and Spatial Sense Ohio Department of Education Standard.
Lines and Angles
Grade 8 Characteristics and Properties:
2. Recognize the angles formed and the relationship between the angles when two lines intersect and when parallel lines are cut by a transversal.
Parallel Lines and Transversals
Grade 8 Characteristics and Properties:
2. Recognize the angles formed and the relationship between the angles when two lines intersect and when parallel lines are cut by a transversal.
Triangles
Grade 10 Characteristics and Properties:
1. Formally define and explain key aspects of geometric figures including:
b. segments related to triangles (median, altitude, midsegment);
c. points of concurrency related to triangles (centroid, incenter, orthocenter, circumcenter);
Similar Triangles and Triangle Congruence
Grade 10 Spatial Relationships
5. Construct congruent figures and similar figures using tools, such as compass, straightedge, and protractor or dynamic geometry software.
Quadrilaterals
Grade 10 Spatial Relationships
4. Construct right triangles, equilateral triangles, parallelograms, trapezoids, rectangles, rhombuses, squares and kites, using compass and straightedge or dynamic geometry software.
Circles
Grade 10 Characteristics and Properties:
1. Formally define and explain key aspects of geometric figures including:
d. circles (radius, diameter, circumference, major arc, minor arc, sector, segment, inscribed angle)
Surfaces and Solids
Grade 11 Visualization and Geometric Models:
5. Identify, sketch, and classify the cross sections of three-dimensional objects
Area and Perimeter
Grade 7 Using Measurement Techniques and Tools
7. Develop strategies to find the area of composite shapes using the areas of triangles, parallelograms, circles and sectors.
Non-Euclidean Geometry
Grade 12 Visualization and Geometric Models
4. Recognize and compare specific shapes and properties in multiple geometries; e.g., plane, spherical and hyperbolic.
