PRECAL WEEK 4: CH 7 and CH 8 Systems and Sequences
- Created on Sunday, 13 May 2012 21:32
- Written by Joe Chamberlin
Monday: AM Start with Ch. 7.1 and 7.2, which are a review of ways to solve two variable systems. On pages 453-458 we will do examples 1, 2, and 7 along with their checkpoint problems. Then pages 464-467, examples 2 and 6 along with a graphing calculator problem. After break, we page will do 7.3 with three variables by both the substitution and elimination methods, on pages 473-475: examples 1,2 4 and 6 with their checkpoint problems. Example 4 will be used again after lunch. In the PM Start Matrices with Section 7.4 pages 473-475, specifically examples 1 and 2 of how Gaussian elimination works. Also note Example 6 of how to get rid of decimals or fractions. Hopefully we have some time left to work on bridges.
Tuesday AM we try to cover 7.5 to 7.7 on various matrix operations: basic operations on pages 505 ex 1, 3, and 8; page 522 examples 3 and 4 on inverses, and Cramers rule on determinants on page 538 with example 3. As usual, the assignment is to do the checkpoint problems of the examples. In the PM we will do review, Chapter Test, and bridges.
Wednesday AM Start Ch 8 on Sequences and Probability. We could have spent the whole course on this one chapter! Section 8.1 on notations will come in handy when learning calculus. We will do examples 1,4,5,7, and 9. For arithmetic progressions, Section 8.2, just ex 7 on page 570; and for geometric progressions, ex 3 and 6 on pages 576-578. Do all checkpoint problems from examples. In the PM we will cover the Binomial Theorem on page 594 and Pascal's triangle on page 596, before trying to finish the bridges!
Thursday AM Section 8.6 on Combinations and Permutations, we will do page 602 ex 2 for Fundamental principle, and then Examples 5-9 with their checkpoint problems. Finally we will finish with 8.7 on Probabilities beginning on page 612 examples 1-10, with their checkpoint problems. In the PM, we have Review, a Test, and maybe test bridges!
PRECAL WEEK 3: Ch. 5 and Ch.6 TRIG TRICKS
- Created on Sunday, 06 May 2012 20:41
- Written by Joe Chamberlin
This week is more advanced trig... after Ch. 4 review we will cover eight or nine new concepts on special groups of triangle relationships. Each day, as we get done with the bookwork, we hope to have time to finish all the prefabrication of bridge materials. The following two weeks are less hectic and may give us time to actually build our bridges (See PREVIEW at the end of this article).
Monday: Review word problem application of solving triangles from section 4.8; pages 320-325, examples 3, 5, 6 and 7. ASSIGNMENT is doing checkpoint problems plus 49, and 50 on pg. 329. Section 5.1 and 2 on identities; pages 340-343 ex 1, 2, 3, 4, 6, 7, pages 349-350, ex 1, 2 and 4. In the afternoon, we will hit Section 5.3 on solving a few trig equations; pages 356-363, ex 1,2,3,8, 10 and 12. Again, ASSIGNMENT is doing checkpoint problems on all examples, plus 73 on page 366.
Tuesday: Lots of special trig formulas, beginning with Section 5.4 Sum and Difference; pages 368-ex 1 and 2. Section 5.5 has Multiple Angle formulas, Half Angle formulas, and Product formulas and Power reducing formulas and Sum to Product formulas; pages 375-381, ex 1, 3, 5, 6, and 9. ASSIGNMENT is again doing the corresponding checkpoint problems for each example. In the afternoon we will do some chapter review and the Ch. 5 Test.
Wednesday: Chapel day this week, and Ch. 6 really has two significant rules: law of Sines and law of Cosines. The rest of the chapter deals with how sines and cosines translate into vectors . Section 6.1 on Law of Sines we will cover these examples and corresponding Checkpoint problems; pages 392-397, ex 1, 2, 6. Section 6.2 on Law of Cosines; pages 401-404, ex 1, 3, 4, and 5 with related checkpoint problems as ASSIGNMENTS. In the afternoon we will cover vector applications 6.3 and 6.4 pages 409-428, doing examples and checkpoint problems as time permits before Chapel.
Thursday: Review ex 8 and 9 on page 415 about vectors. This directly relates to the engineering project of building a bridge. If we have really covered the previous material we can try Section 6.5 shows vectors as a complex number, and shows how complex numbers translate into trig forms; pages 433-438. But we also need to review and do Ch. 6 test.
Whew! A PREVIEW: Next week: Ch. 7 Matrices and Ch. 8 Sequences. Then we do Ch. 9 and Ch. 10 together on Geometry, before finishing the last week of instruction on Calculus. That leaves week seven for test review and the FINAL. Yes, the end of this school year is in sight!
PRECAL WEEK 2: CH. 3 AND CH. 4
- Created on Sunday, 29 April 2012 20:50
- Written by Joe Chamberlin
Monday and Tuesday: Ch. 3 is Exponential and Logarithmic Functions. NOTES: Definitions on pg. 176, pg. 182 for e, pg. 189, 199, AND 200 for properties of logarithms, pg 211 for change of base formula, and pg 217 for models of common applications. EXAMPLES and ASSIGNMENTS (exercises are assigned at the end of each example): pg. 177 ex 2 and 3; pg. 179 ex. 4; pg. 181 ex. 6; pg. 183, ex. 8; pg. 189, ex. 2; pg. 199 - 200, ex 1 - ex 6; pg. 207 ex 2; pg 208 ex 5; pg 209 ex 6; pg 218 ex 1; pg 219 ex 2; pg 221, ex 4; pg 222, ex 5; pg 223, ex 6. We will also work on bridges, review, and take Ch 3 test.
Wednesday and Thursday: Ch 4 is the beginning of Trigonometry (two more chapters on trig to follow next week). NOTES: radian measure; angular vs. linear velocity; basic trig definitions, in the unit circle on pg. 259, and by side proportions on pg. 267; special triangle trig values, pg. 268 and 269; identities pg. 270; signs of trig values per quadrant, pg 279; graphs of sines and cosines, pg289-291; graph of tangent, pg. 298-299. EXAMPLES AND ASSIGNMENTS; pg. 261, ex 1a; pg. 262 ex 2; pg.268 ex 2; pg 269 ex 3; pg. 270, ex 4; pg 272, ex 7; pg 273, ex 9; pg. 288, ex 1; pg 290, ex 3; pg. 292, ex 5-7; pg. 299, ex 1 and 2. Again we hope to have time to work on bridges (look at problem 49 on pg. 329), review and take Ch. 4 test.
