Principles of Mathematics 12
Course Outline and Assignment List
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Combinatorics |
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7.1 |
Fundamental Counting Principle |
p.336 |
1-8,11-13 |
7.2 |
Permutations(Different Objects) |
p.342 |
1-20all,21,24,28,29,31,supplement |
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Permutations(Some Identical) |
p.342 |
25-27,supplement |
7.3 |
Combinations |
p.348 |
1-14all,15ab,16,18-21,23 |
7.4 |
Pascal's Triangle |
p.352 |
1-8, supplement |
7.5 |
Binomial Theorem |
p.356 |
2-30even,31,34,36,39 |
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Probability |
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8.1 |
Introduction and Terminology |
p.371 |
1-7,9,10,14a-e,15 |
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Related Events |
p.385 |
supplement |
8.2 |
The Event A or B |
p.380 |
1-14,16,18,20 |
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The Event A and B |
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supplement |
8.4 |
Conditional Probability |
p.391 |
1-10,12-14 |
8.3 |
Using Permutations and Combinations in Probability |
p.385 |
1-5,9,11,12,14,15 |
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Statistics |
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Distributions |
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supplement |
9.1 |
Binomial Distribution |
p.407 |
1-11,14-20 |
9.2 |
Mean and Standard Deviation |
p.412 |
1-7,supplement |
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Standard Normal Distribution |
p.414-415 |
1,2 and 1-4 |
9.3 |
Normal Distribution |
p.422 |
1-24 |
9.4 |
Normal Approx. to Binomial |
p.426 |
1-14 (answers supplied) |
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Confidence Intervals and Margin of Error |
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supplement |
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Review basic functions |
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Handout |
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Transformations |
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1.1 |
Translations |
p.10 |
1-15odd,17-20bdf,21-30,31-36f,40,41 |
1.3 |
Reflections in x,y axes |
p.25 |
1-4,7-14,20,22,34,43,45 |
1.3 |
Inverse |
p.25 |
5,6,15-18,27,30,33,47, handout |
1.4 |
Stretches |
p.38 |
1-6all,12-40even,44-49,51 |
1.6 |
Combinations |
p.47 |
1-13odd,15-19,27,31,34,36,40,46,48,54 |
1.7 |
Reciprocal |
p.56 |
2-22even |
1.7 |
Absolute Value |
p.56 |
24-32even,33-36all,43-46,49,54 |
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Trigonometric Functions |
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4.1 |
Angular Measure |
p.189 |
1,2-46even |
4.2 |
Trig Ratios of any Angle |
p.199 |
2-26 even,handout |
4.2 |
Special Angles |
p.199 |
27-42 all,44,45 |
4.3 |
Graphing Trig Functions |
p.209 |
2-40 even,41-50,52,54,56 |
4.4 |
Transform. of Trig Functions |
p.218 |
2-30even,31,32,34,35, handout |
4.5 |
Applications |
p.225 |
1-16,18,20 |
4.6 |
Other Trig Functions |
p.232 |
1-18 |
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Trigonometric Equations |
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5.2 |
Solving Exact Values I |
p.252 |
1-10,21-31 |
5.1 |
Solving Exact Values II |
p.247 |
1-20 |
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p.252 |
11-19odd,20 |
5.3 |
Solving –Decimal Answers |
p.253 |
32-35a,c, handout |
5.4 |
Trig Identities |
p.264 |
1-33odd,34-36 |
5.5 |
Sum, Difference, Double Angle |
p.272 |
2-16even,17-24, 26-32even,37-39,43 |
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Exponents and Logarithms |
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2.2 |
Exponential Functions |
p.81 |
1-23,25,27,29,30 |
2.4 |
Exponential Equations |
p.89 |
2-16even,17-23all,24abf,26,28 |
2.5 |
Logarithms |
p.98 |
2-20even,21-40all,46,47 |
2.6 |
Laws of Logarithms |
p.106 |
2-24even,25-42all,43,44,48,50 |
2.7 |
Equations Involving Logs |
p.113 |
1-19odd,21-38all,40-43,47,50,54 |
2.8 |
Continuous Growth and Decay |
p.119 |
1-19odd,26-29,32,33 |
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Exponential And Log Graphs |
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Handout |
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Conics |
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3.3 |
Circle |
p.141 |
1-35odd,36-39,55,57 |
3.4 |
Ellipse |
p.150 |
2-20odd,25-27,33,37,39,40 Find vertices, not foci. |
3.5 |
Hyperbola |
p.159 |
1-19odd,23-31odd,33-36,39(no graphing calc.) 41,43,44,46 |
3.6 |
Parabola |
p.168 |
15-18(find vertex,axis of sym,dir.open) 19-24,26-28,30,31,32-42even,47 |
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Geometric Sequences,Series |
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6.3 |
Geometric Sequences |
p.300 |
1-22odd,23,24,26,27,29,34,38 |
6.4 |
Geo.Seq. – Compound Interest |
p.304 |
2-26even,30,33,34 |
6.5 |
Geometric Series |
p.309 |
1-15odd,16-21,22,23,26,29 |
6.6 |
Infinite Geometric Series |
p.316 |
1-15odd,18,21,25 |
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