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  Algebra II, Year 2007-2008
    © '07, A. Azzolino

Resources
Notes Sorted by Topic QB, graded assignments Tutorials & Lessons Algebra & Arithmetic Words [Table]     Review Material Project Questions Review Grades   Questionbook Cover Sheet   graph paper
Course Behavioral Objectives
The student will be able to:
 
Demonstrate Basic Literacy
A. Demonstrate understanding of relevant vocabulary. See:   Algebra & Arithmetic Words
B. Create and maintain a neat, organized, reference document of class work, homwork, and graded assignments.
C. Demonstrate expertice on one or more course topics through:
· presentation of homework problems at the board.
· sharing work after completion during a class period.
· full-class presentation of a project. See:     Project Questions
· completion of higher order mathematical writing assignments. See: Questionbook Cover Sheet
D. Retrieve and Reasearch on the Internet. See: Notes Sorted by Topic Tutorials & Lessons
Demonstrate Arithmetic & Algebraic Literacy
1. Simplify arithmetic & algebraic expressions (including signed number expressions).
2. State the order of operations (math syntax).
3. Evaluate expressions mentally and with paper and pencil.
4. Evaluate expressions with a graphing calculator.
5. State angle measure in radians and sexsmial and decimal notation. State positive and negative coterminal angles.
 
Demonstrate Coordinate Geometry Literacy
6. Graph lines with paper and pencil.
7. Graph lines with graphing calculator.
8. Graph circles, ellipses, parabolas, hyperbolas and related curves, and polynomials of higher degree.
9. Graph exponential and log functions.
10. Graph trig functions: sine, cosine, tangent, secant, cosecant, cotangent and related curves.
11. State domain, range, opposite, reciprocal and inverse of functions.
12. Write equations of lines in slope-intercept, point-slope, standard, and general forms.
13. Write expressions for conics.
14. Write and simplify expressions for log and exponential functions.
15. Write expressions for trig functions.
16. State rectangular and polar coordinates.
 
Demonstrate Computational Compatency
17. Write, factor, expand, simplify and compute with polynomials.
18. Write, simplify and compute with radical expressions.
19. Write, simplify and compute with rational expressions.
20. Use factorials and the slope, distance, and midpoint formulas.
21. Expand, simplify, write exponential and log expressions and equations.
22. Write, simplify, use trig expressions and equations.
23. Write, simplify, use determinants.
24. Write, simplify, use matrices.
25. Write, simplify, use real and complex number.
26. Write, simplify, use vectors.
27. Write, simplify, use sequences and series.
28. Compute mean, mode, median, range, variance, standard deviation.
29. Permutations, combinations, and probabilities.
30. Compute arc length and modulus of a complex number.
 
Solve and Use Equations and Systems
31. Solve systems by mentally, web page, linear combination, substitution, calculator program, Cramer's Rule, matrix computation including Gauss-Jordan Elimination.
32. Solve systems to answer application problems.
33. Solve radical and rational equations and equations that are quadratic in form.
34. Solve quadratics by factoring, completing the square, formula, and hhc.
35. Solve trig equations over an interval and over the real numbers.
36. Solve triangles with basic arithmetic, basic geometry, sine and cosine laws.
37. Solve systems of linear inequalities using simplex and other graphic methods.
38. Solve systems in general through graphic and hhc methods.
39. Solve exponential and log equations.
Assignments and Objectives
· Solve systems to answer application problems. pg 132-134: 1,3,5,7,9,15,19; pg 132-134: 2,4,6,8,10,12,18
· Solve systems to answer application problems. pg 801: ex. 1
· Solve systems to answer application problems. pg 804: orals, then 1- 19 odd
· Evalutate 3 by 3 (or more) determinants by properties, expansion, and by minors. pg 787-788: read it, complete ex. 2
· Evalutate 3 by 3 (or more) determinants by properties, expansion, and by minors. pg pg 788: orals, then 1-19 odd.
· Evalutate 3 by 3 (or more) determinants by properties, expansion, and by minors. pg 800: orals, 1-12 odd.
· Complete matirx computation. pg 767: read it, copy examples 1 & 2 in notes.
· Complete matirx computation. pg 768: orals, then 1-18 odd, 19-22 all
· Complete matirx computation. pg 770-772: read it. copy properties on pg 772 in notes.
· Complete matirx computation. pg 772-3: orals, 1-17 odd.
· Complete matirx computation. pg 774: read, copy example 1 in notes
· Complete matirx computation. pg 777: orals, 1-11 odd, read 13-30 for comprehension
· Complete matirx computation. pg 790: read it.
· Complete matirx computation. pg 791: orals, 1- 20 odd
· Complete matirx computation. pg 790: read it.
·Review polynomial vocabulary on pg 167.
·Simplify, add,subtract polynomials. Solve term-dependent equations. pg 170/ 1, 7, 9, 15, 17, 19, 23, 25
·State the laws of expenents regarding multiplication and raising to a power. Multiply monomials. Raise monomials to a power. Distribute. Solve equations with the same base. pg 172/orals, 173/1-34 odd, 35-38, all
·Multiply polynomials by "long multiplication" and mentally and with written expension by FOIL. Note special products: difference of 2 squares and perfect trinomial square. 175/orals, 175/1-56 odd
·Self Test pg 177
·Find GCF and LCM of integers and monomials. Use [MATH][NUM]8:lcm( and 9:gcd( functions on the hhc. Prime factor a term. 181/orals then 1 -33 odd
·Factor polynomials. Note special products: difference of 2 squares, difference of 2 cubes, sum of two squares. sum of 2 cubes. 185/orals, then 1 - 59 orals
·Factor quadratics with leading coefficient of 1 or other numbers
·Solve quadratic by factoring. 196/orals 1-54 odds
·Solve quadratics with hhc by Solver & by
·Solve word problems requiring quadratic equations for solution.
·Solve and graph quadratic and cubic inequalities by equation. pg204/orals, 1 - 30 odd
·Self Test pg 205.
·Complete Chapter review multiple guess pg 207.
·Complete Chapter Test pg 208.
·Sub Folder Review pg 209.
·State the laws of expenents regarding multiplication, division, and raising to a power. Divide monomials. Raise fractions to a power. pg 218/orals then 1-46 odd
·Write a number in scientific or decimal notation. To complete multiplication and division. pg 223 orals, then 1-31 odd then problems 1 - 15 odd
·Reduce fractions. Simplify rational algebraic expressions. State domains of and restrictions on functions. pg 228/orals, then 1 - 43 odd
·Graph rational functions. Describe rational function graphs. Explain the words asymptote, restriction, end behavior. pg 231/ 1-11 odd
·Multiply, divide, simplify rational expressions. pg 233/orals, then 1-23 odd
·Reduce fractions. Add and subtract rational expressions. pg 236/orals, then 1-41 odd
·Simplify complex fractions by order of operations. Simplify complex fractions by multiplication by a unit fraction with the common denominator.
·Solve equations and inequalities having fractional coefficients. Write equations and solve word problems using rational expressions. pg 244 orals, then 1- 23 written, then problems 1- 17 odd.
·Solve rational equations. pg 249 1 - 29 odd, the problems 1 - 23 odd.
·Explain parallel and in series circuits. State Ohm's Law. pg 254/ 1-4
·Complete chapter Review pg 255.
·Complete Chapter Test pg 257.
·Define real number, complex number, root, index, radicand, principal root. Simplify roots. 261 orals, then 1-37 odds
·State Law of Exponents for taking a root. Simplify rational radical expressions. pg 267/ orals, then 1 - 65 odd.
·Simplify radical sums. Distribute and simpliy radical expressions. pg 271 orals, then 1 - 43 odd.
·Multiply and divide radical binomials. pg 275/orals, then
·Solve equations containing radical expressions. pg 279, orals then 280 1 - 39 odd
·Complete Self Test pg 282.
·Identify and write rational & irrational numbers as fractions, radical expressions, and decimal numbers. pg 286/ 1 - 42 odd.
·Write, simplify, compute with complex numbers. go 289, orals and 1- 53 odd. then 295/orals, 1-55 odd.
·Complete Self Test page 297.
·Recognize and compute conjugates and the absolute value of complex numbers. pg 300/ 1- 5
·Complete Chapter Review. pg 302.
·Complete Chapater Test pg 303.
·Solve quadratic equations by factoring or completing the square. pg 309 orals and 1-41 odd
·Solve quadratic equation by formula. pg 313/orals and 1-41 odd and problems 1 - 15 odd
·Use the discriminant to determine the kind of roots. pg 320/1-39 odd
·Solve equations that are quadratic in form. pg 324/ 1 - 31 odd
·Graph quadratics by curve shifting. pg 330/orals, 1 - 39
·Describe quadratics, write quadratic. pg 336/1-39, 43, 44 then pg 342/1-39 odd, the problems 1 - 15 odd
·Complete Chapter Review pg 346.
·Complete Chapter Test pg 348.
·Divide ploynomials by factoring, by long division, by synthetic division. 366/odds, 370 odds
·Graph polynomial functions using Decartes Rules of Signs and knowledge of roots. pg 380 odds
·State rational roots. pg 384/orals then odds.
·Approximate irrational roots through intermediate value theorem. pg 388
·Complete linear interpolation. pg 394, odds
·Complete Self Test pg 396.
·Complete Chapter Review. pg 397.
·Complete Chapter Test pg 398.
·Use midpoint and distance formulas. pg 404/orals then odds then odd problems
·Write equations for and graph circles. pg 409/orals, odds
·Write equations for and graph parabolas. pg 415 orals and odds
·Complete Self Test pg 417.
·Write equations for and graph ellipses and hyperbolas. pg 421/orals, then odds then 430/orals, then odds
·Graph conics with centers not at the origin. pg 343/orals, then odds
·Complete Self Test pg 435.
·Solve systems graphically, by substitution, by "linear" combination, and on hhc. pg 437/orals, then odds. then pg 441/orals, odds, and odd problems
·Solve 3x3 system by Gaussian Elimination, Gauss-Jordan Elimination, pg 447/orals, then odds, then problems
·Complete Self Test pg 450.
·Complete Chapter Review pg 451.
·Complete Chapter Test, pg 453.
·State the laws of expenents regarding addition, subtraction, multiplication, division, and raising to a power, taking a root. pg 457/orals, then odds
·Graph an exponential curve. Simplify expressions involving raising to a power, taking a root. Solve equations involving exponents. pg 461/orals, then odds
·Compute an inverse verbally, graphically, algebraically. pg 465/orals, then odds
·Complete Self Test pg 467.
·Graph a log curve. Simplify log expressions. pg 470/orals, then odds.
·Expand and simplify log expressions using the properties of logs. pg 475/orals, then odds
·Complete Self Test pg 477.
·Compute logs with bases other than 10 and e. pg 481/orals, then odds
·Examine exponential growth and decay. Examine compounding. 486/orals, then odds then 490/orals then odds
·Complete Self Test pg 493.
·Complete Chapter Review, pg 496.
·Complete Chapter test, pg 497-498.
·Write and predict tems in sequences. pg 504/orals, then written
·Write and predict terms in arithmetic sequences. pg 509/orals, then odds
·Write and predit terms in geometric sequences. pg 512/orals, then odds, then problems
Jeff, see problem 14 on page 515.
·Complete Self Test pg 516.
·Graph sequences. pg 517 odds
·Write and compute the sum of series. pg 520/orals and then odds then 527/orals then odds, then odd problems
·Use mathematical induction. pg 524 odds.
·Evaluate infiite geometric series that converge (have ratios with absolute value less than one). pg 533/ orals, then odds, then odd problems
·Use Pascal's triangle to expand powers of a binomial. pg 538/orals, then odds
·Use the binomial theorem to state a particular tem in the expansion. pg 542/orals, then odds
·Complete Self Test pg 543.
·Complete Chapter Review pg 545
·Complete Chapter Test, pg 546.
·Write angles measures in sexesmial and decimal notation. State coterminal angles. pg 553 orals, then odds
·Define sine, cosine, tangent, cosecant, secant, cotangent in terms of OSCAR.
·Define complement in words, and notation.
·State the 6 trig functions of the 30°s, 60°s, and 45°s. pg 558/orals, then odds
·Define sine, cosine, tangent, cosecant, secant, cotangent in terms of the unit circle.
·State trig functions of the 30°s, 60°s, and 45°s. in other quadrants. pg 565/orals then odds
·State values of trig functions using tables in book and the hhc. pg 571/orals then odds
·Solve right triangles w/basic trig and geometry. Complete angle of elevation/depression problems. pg 576/orals, then odds, then odd problems
·Solve right triangle w/Law of Cosines. pg 582/orals, the odds, the odd problems
·Solve right triangle w/Law of Sines. pg 588/orals, the odds, the odd problems
·Solve any triangle. pg 594/orals, the odds, the odd problems
·Compute area of any triangle given sides only. pg 599/orals, then odds
·Complete Self Test pg 600.
·Complete Chapter Review pg 602.
·Complete Chapter Test pg 604.
·Compute sectors and arc length. Write angles in radian measure. pg 610 orals, the odds, then odd problems
·Compute trig functions of "circular" - arc length (radian) measures. pg 616, orals, then odds
·Graph odd and even functions. pg 621/orals, then odds
·Graph the sine & cosine functions and related functions. pg 627/orals, then odds
·Graph the sine, cosine, tangent, cotangent, secant, and cosecant functions and related functions. pg 632/orals then odds
·State the reciprocal, cofunction, and Pythagorean trig identities of page 636. Use identities to simpliy expressions and prove statements. 639/orals the odds
·State the sum and difference trig identities of page 641. Use identities to simpliy expressions and prove statements. pg 643/ orals then odds
·State the half and double angle trig identities of page 646 and 647. Use identities to simpliy expressions and prove statements. pg 648/orals, then odds
·State the tangent sum, differenc, half and double angle trig identities of page 650 and 651. Use identities to simpliy expressions and prove statements. pg 652/orals, then odds
·Complete vector addition, scalar multiplication given graphic representation. State magnitudes and directions. pg 663/ orals then odds, then odd problems
·Complete vector addition, scalar multiplication given rectangular or polar notation. State magnitudes and directions. pg 669/ orals then odds, then odd problems
·Apply vectors to work problems. pg 674 odds
·Write vectors in polar notation. Convert polar to rectangular to polar notation. Graph in polar notation. pg 678 orals, then odds
·Graph spirals on polar planes. pg 679 all
·Graph in the complex plane. Compute modulus. pg 682/orals, then odds
·Compute powers and roots of complex numbers. pg 687/orals then odds
·Graph the arcsine and arccosine and arctangent and tangent and cotangent and secant and cosecant. pg 691/orls then odds, 695/orals, then odds
·Solve trig equations. pg 699 orals, then odds,
·Complete Self Test pg 700.
·Complete Chapter Review pg 703.
·Complete Chapter Test pg 704.
·Compute mean, mode, median. Create histogram, stem & leaf . pg 711/orals, odds
·Draw box and whisker plot, compute variance and standard deviation, and Q1 and Q3. pg 716 orals, then odds
·Compute z-scores, areas under a normal curve. pg 722/orals then odds
·Draw scatter plot. Compute correlation coefficient. pg 727 orals, then odds
·Complete Self Test pg 729.
·Compute permutations and combinations and list sample spaces. pg 732 odds, 736 orals, then odds, 739/ orals then odds. then 744/orals then odds
·State probabilities pg 748/orals then odds
·Draw and use Venn Diagrams to compute the probability of A and B and the probability of A or B. pg 758 orals then odds.
·Complete Self Test pg 761.
·Complete Chapter Review pg 764.
·Complete Chapter Test pg 765.
·
Projects
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