MATH 3703

Geometry for P-8 Teachers

Review Sheet for Test 3

This test covers sections 11.2, 11.3, 11.4, & 11.5.  It consists of 20 questions.

• Problems which involve finding missing measures of right triangles
• Conversion problems
• Area problems
• Surface area problems
• Volume problems
• Application problems

How will you prepare for this test?  Keep the following things in mind.

1. Be able to use area formulas to find the area of “normal” figures (such as a square) and “combination” figures (such as a semi-circle attached to a rectangle).
2. You should be able to find the area of a figure that is placed on a geoboard.
3. You should be able to make conversions among square units (area), cubic units (volume), units of capacity, units of mass, and temperature.
4. You should be able to recognize when to use the Pythagorean Theorem, 30-60-90 rules, and 45-45-90 rules.  These problems may be embedded in word problems.
5. You should be able to state whether a triangle is a right triangle or not based on the converse of the Pythagorean Theorem.
6. You should be able to find the surface are and volume of “normal” solids and “combination” solids.  The formulas will be provided but you must understand them so as to apply them.
7. Test problems are many times similar to those done in class or those assigned for homework.  In addition, by doing the homework problems you are better prepared to handle new and unfamiliar problems that may appear on the test.

Here is a list of the concepts we have covered in this chapter.

Sec. 11.2

Area on a geoboard, converting square units, area formulas (rectangle, parallelogram, triangle, trapezoid, regular polygon, circle)

Sec. 11.3

Pythagorean Theorem, Converse of the Pythagorean Theorem, 45-45-90 rules, 30-60-90 rules

Sec. 11.4

Surface area (right prisms, cylinder, pyramid, cone, sphere)

Sec. 11.5

Volume (prism, cylinder, pyramid, cone, sphere), converting cubic units, converting units of capacity, converting units of mass, converting temperature