Download M syllabus

M$4H/M$F
CURRICULUM GUIDE
Revised Spring 2003
TEXT: Amsco Mathematics B
Note: *next to lesson denotes possible 2-day lesson
1. What are undefined terms in geometry? (point, line, plane)
2. What are rays and angles?
3. How do we classify triangles? (sides and angles)
4. Using basic definitions to prove geometric statements
5. How de we use deductive reasoning in geometric proofs?
6. What are the first postulates used in proving statements?
7. How do we use the substitution postulate?
8. How do we use the addition and subtraction postulates?
9. How are numerical and algebraic applications used in proofs?
10. How are numerical and algebraic applications used in proofs?
11*. Practice using postulates and definitions in proofs
TEST #1
pp.2-11
pp.13-17
pp19-22
pp 95-top 96
pp.98-103
pp.110-116
pp 117-118
pp. 118-121
pp. 122-126
pp. 127-129
pp. 130-131
problem types pp. 141-142/5,6,11-14
12*. What are the definitions and theorems using angle pairs?
pp.132-136
13*. How do we write formal proofs?
pp. 132-136
14. Practice exercises involving numerical applications of angle theorems
Problem type examples p. 132/11-13, 140/10-21
TEST #2 problem types pp 141-142/15-24 and cumulative review
15. What are congruent polygons and corresponding parts?
16. How do we prove triangles congruent using SAS?
17. How do we prove triangles congruent using ASA?
18. How do we prove triangles congruent using SSS?
19. What special line segments are associated with triangles?
20. What is meant by “CPCTC”?
21. How do we prove overlapping triangle congruent?
22. What are double congruence proofs?
23*. Review lessons 15-23
TEST #3
24. How do we prove lines perpendicular?
25. What are the properties of parallel lines?
26. How do we prove lines parallel?
27. How do we use parallel and perpendicular lines in proofs?
(Problem types 216/11-15 and worksheet)
28. How do we prove triangles congruent using AAS?
29. How do we prove triangles are isosceles?
30. How do we prove triangles congruent using Hy-leg?
31. What are interior and exterior angles of polygons?
pp. 145-149
pp. 148-151
pp. 152-154
pp. 154-156
pp. 156-159
pp. 162-165
pp. 171-175
pp. 169-171
pp. 204-205
pp. 213-215
pp. 207-211
pp. 222-226
pp. 227-229
pp. 231-233
pp.234-240
TEST#4 problem types 241-243/1-30
32*. What is the distance formula and how can it be used to prove statements and solve
problems? Pp. 22-26
33. What is the midpoint formula and how is it used to prove congruence? P.9, 569 top and
worksheet
34. What is the slope formula and how is it used to prove parallel and perpendicular lines?
P.27, pp.30-35
35*. Practice using coordinate geometry to prove specific statements and general
theorems? Worksheet
TEST#5
36. What are transformations in the plane? (review reflections, rotations,
Translations)
pp560-566
37. What are line reflections in coordinate geometry?
pp.566-569
38. What is meant by rotations in coordinate geometry?
pp. 569-570
39. What is meant by translations in coordinate geometry? p.570
40. What is meant by dilations in coordinate geometry?
pp. 576-579
41. What are compositions of transformations? Select exercises from page 579 and 583-584
42. What are the various types of symmetry in figures and symbols? pp. 580-582
QUIZ ON TRANSFORMATIONS
** As time permits, the following will be reviewed in M$G, M$5H
43. What are central angles, arcs and chords?
pp. 436-top 438, bottom 441-442
44. What are inscribed polygons? (Include parallel chords) pp. 445-449
45. What are inscribed angles and intersecting chords?
pp. 449-454
46. What are the measures of the angles formed by tangents and secants? pp. 461-468
47. What are the measures of chords, tangent segments and secant segments? pp.468-475
REVIEW FOR FINAL EXAM