Teacher's Manual for First-Year Mathematics

Cover Teacher's Manual for First-Year Mathematics
Teacher's Manual for First-Year Mathematics
George William Myers
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The teacher will notice that this is the first attempt at a deductive proof of a geometric truth. The aim has been in this attempt to use the simplest possible untechnical language.
The proof may need to be gone over two or three times.
Exercises 1-9, pages 203, 204 should all be solved that the proved truth may be impressed upon the class. Have the class point out how the theorem applies in each of the exer- cises.
Answers: 1. c=c'\ IA=IA'\ and lB-= IB' 2. a = a', Z5=Z5', and ZC=ZC' 3. The pro
...ofs are citations of the theorem § 145.
4. Let the pupils show from Fig. 212 how the theorem applies and the consequences of its application.
5-9. Remark of 4 applies here in each exercise.
98 First-Year Mathematics Manual [pp. 204- § 146. Begin this section orally with the class, having individual pupils read and answer as far as they can, then calling on other pupils to suggest and to help on difficulties.
§ 146. Answers to exercises: 6. B, C, D, E, and F 7. 6 chords 8. By stepping the circumference 9.


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