Future Teachers' Conference

http://www.projectteach.org/Activities%20Programs/FutureTeachersConf.htm

Finals Review

1. Describe the criteria for a 3-D object to be called a regular polyhedron.
2. Triangles—know the different types and their names
3. Properties of diagonals of 2-D shapes.
4. Rotational and reflective symmetries : center of rotation and lines of reflection
5. Use isometric grid paper to sketch 3D shapes given 2D views.
6. State whether a shape can tessellate the plane
7. Make scale drawings using a center of dilation
8. Find scale factors given relationships (i.e., surface area, volume); and given scale factors find other relationships.
9. Construction of perpendicular bisectors, angle bisectors, perpendicular lines from point to a line, etc.
10. Name the single rigid motion given a transformation.
11. Determine the area of unusual shapes on a geoboard (dot paper).
12. Explain how the formula for area of 2D shapes have been formulated

CH. 24, 25, & 26 Test Review

1. Be able to convert between different square measurements, i.e., sq cm to sq meters
2. Given the dimensions of an object, be able to find its surface area and using a scale factor find a similar figure’s surface area.
3. Determine the area of an unusual region on a Geoboard
4. Determine scale factors and use them to find surface area or volume of a similar figure.
5. Given length corresponding lengths of two similar objects, be able to calculate the ratio of their surface areas and their volumes.
6. Be able to illustrate the relationship between small cubic units compared to larger cubic units.
7. Give the surface area and the volume of a 3D shape drawn on isometric paper.
8. Know how to find perimeter, area, and volume of polynomials and regular polyhedra (may need to memorize formulas).

Measurement

As we have discussed in class, many of our standard measurements came to us through the British. However, some measurement standards date even further back than that. Here is an example: http://seattlecentral.edu/faculty/alevy/measurement.htm

Ch22 & 23 Test Review

1. Name the types of rigid motion
2. Be able to transpose shapes using the rigid motions
3. Name the single rigid motion equal to a composition
4. Name the kind(s) of symmetry a figure has
5. Be able to determine the range of measurements given the measuring tool's limitations.
6. Measure an angle
7. Convert metric measures to larger and smaller metric measures.
8. Determine the number of degrees in a partial circle if the ratio is known. (i.e. 15 minutes on a clock face would have how many degrees?)
9. Be able to construct angles using only straight edge and compass based upon knowledge of how to half or quarter of a known angle

Chapters 20 & 21 Test Review

1. Given two similar figures you should be able to locate the dilation point and determine their scale factor.
2. Given a dilation point, the original figure, and the scale factor, you should be able to create the dilated similar figure.
3. Given two similar figures you should be able to determine the missing dimensions for corresponding segments and angles.
4. Given two similar 2-D figures, if you know their areas, you should be able to determine their scale factors.
5. Given two similar 3-D objects, if you know their surface areas, you should be able to determine their scale factors.
6. Given two similar 3-D objects, if you know their volumes, you should be able to determine their scale factors.
7. You should know circle vocabulary: diameter, radius, chord, minor arc, major arc, inscribed angle central angle, segment, sector
8. Constructions: copy angles and segments, bisect angles and segments, construct parallel and perpendicular lines, construct circle through three given points, and create segments and angles that are multiples of an original (i.e. twice as big, or ¼ larger)

Interactive Polyhedra

This site http://peda.com/poly/ not only introduces you to many different solids, but lets you see how they are constructed. Just download and play.

For Platonic Solids only, click on this link.