Review for Final Exam

1. Describe the criteria for a 3-D object to be called a regular polyhedron.
2. Rotational and reflective symmetries (2D & 3D): center of rotation and lines of reflection
3. Use isometric grid paper to sketch 3D shapes given 2D views.
4. Know the different types of triangles (acute, obtuse, right, equilateral, isosceles) and be able to create them given some info about angles.
5. Make scale drawings using a center of dilation
6. Find scale factor given relationships (i.e., surface area, volume); and given scale factor find other relationships.
7. Name the single rigid motion given a transformation.
8. Fill out a contingency table and be able to determine probability form the data.

CH27-30 Test Review

1. Determine theoretical probability of a spinner and explain how you might check it using experimental probability

2. Determine odds (chance) of winning a game, i.e pulling a yellow ball from a bag containing 3 yellow, 2 red and 1 blue ball.

3. Given partial information, fill in the numbers of a tree diagram and determine the probability of the outcomes.

4. Given the parameters of an experiment determine the probabilities of the outcomes using and and or.

5. Fill in a contingency table given certain information about an event then use the table to compute the probability of the outcomes.

6. Use a stem-and-leaf plot to find the mean score and to make a box-and-whiskers plot. You should be able to explain each part of the graph.

Review for CH23, 24, & 25 Test

1. Be able to determine the range of measurements given the measuring tool's limitations.
2. Convert metric measures to larger and smaller metric measures. (i.e convert km to m)
3. 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?)
4. Be able to convert between different square measurements, i.e., sq cm to sq meters
5. Determine the area of an unusual region on a Geoboard
6. Determine scale factors and use them to find surface area or volume of a similar figure.
7. Given corresponding lengths of two similar objects, be able to calculate the ratio of their surface areas and their volumes (the surface area and volume factors).
8. Know how to find missing lengths (i.e. leg of right triangle, diameter & radii of a circle, perimeter, circumference), and find area of polynomials (may need to memorize formulas).

Ch.20, 21, & 22 Test Review

1. Given two 2-D figures and a dilation point you should be able to determine if they are similar and if so, find their scale factor.
2. Given two similar 3-D figures you should be able to determine the missing dimensions for corresponding segments and angles.
3. Given two similar 3-D objects, if you know some of their dimensions and their scale factor, you should be able to determine their surface areas.
4. Given the volume of two 3-D objects you should be able to determine their scale factor.
5. On a given circle, you should be able to identify: diameter, radius, chord, minor arc, major arc, inscribed angle, central angle, segment, and sector
6. Constructions: copy angles and segments, bisect angles and segments, construct parallel and perpendicular lines, and create segments and angles that are multiples of an original (i.e. twice as big, or 1/2 larger)
7. Be able to transpose shapes using the rigid motions

CH.18 & 19 Test

You should be able to:

1. Add to a 2-D figure so that it has reflection symmetry and draw in the line(s) of symmetry.
2. Add to a 2-D figure so that it has a rotational symmetry and show the center of rotation.
3. Describe all of the rotational and reflection symmetries of the 3-D object
4. Show how a 2-D object can tessellate the plane, using at least 10 copies, not all in a row.
5. Determine if a region will tessellate the plane and explain how you know this. Be very specific, using angles measures. Write in full, understandable sentences.

Ch16-17 Review

1. Given a net, you should be able to name the polyhedron (type of pyramid, type of prism).
   
2. You should be able to give the best name for a given 3-D shape (type of pyramid, type of prism).
   
3. On isometric dot paper, you should be able to sketch a diagram of a shape given the front, right and top views (Illumination style shapes--small connected cubes).
   
4. You should be able to provide a clear definition of a regular polyhedron and provide examples.
   
5. You should be able to sketch polygons and know how they relate to one another.
   
6. Given some of the interior angles of a polygon, you should be able to determine the missing angle.
   
7. You should be able to analyze student thinking about the interior angles of a polygon.
   
8. You should be able to determine complementary and supplementary angles.

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