COURSE: ALGEBRA II / TRIGONOMETRY CURRICULUM A-SSE 3A Factoring Review - A-AAR 7, 8 Rational Expressions A-REI 2 Operations w/rational expressions Rational N-RN 4 equations w/rational roots Complex N-CN 1,2,3,4,5 N-VM 1, 4A, B fractions Term - undefined Radicals, September simplify/operations Define imaginary numbers Powers of i Rationalizing imaginary and irrational denominators Define conjugate A-REI 4A, B Quadratic formula, N-RN 2, 3 Completing the square Solving Rational Equations w/irrational and imaginary roots Absolute Value equations Compound inequalities Absolute Value Inequalities Quadratic inequalities October Exponent Properties Operations w/exponents Fractional Exponents
N-RN 2, 3 Fractional and negative exponents Equations F-BF 5 involving exponents with variables in base Exponential equations by changing base Log Form Exponential form Log Rules Applications of log rules Exponential equations solved November with logs Solving log equations with logs on one and two sides Exponential growth and decay Unit F-TF 1, 2, 3, 4, 5, 6, 8 Unit Circle Basics Relationship of right triangle trigonometry to unit circle Finding exact trigonometry values ( )(Radians) Radian measure Convert Radians degrees Use ѳ = s/r Arc, arc trigonometry functions relation to inverse trigonometry functions Solve December 1st and 2nd degree trigonometry equations Reciprocal trigonometry functions Exact value of reciprocal trigonometry functions Develop and use Pythagorean identity Develop and use F-TF 7, 9 double angle identities Trigonometry application problems Double angle formulas Sum and difference formulas Define radian measure as s/r Define and work January with trigonometry cofunctions Midterm review B i t i t l i
F-IF 1, 2, 4, 7 Continue trigonometry laws, cosines, sines, inverse law of F-TF 6 cosines Application N-VM 1 problems of trigonometry laws N-Q 1, 2, 3 Oblique triangle problems Forces Ambiguous case Cumulative trigonometry websites trigonometry review Unit circle Equations Identities February Laws and triangle applications trigonometry graphs Define and apply concepts of frequency, Amplitude,Period, Range and Vertical shifts for Sinx,Cosx,Tanx
F-IF 1, 2, 4, 5,7, 8, 9 Continue graphing trigonometry functions F-BF 1, 3, 4 5 F- Graph systems of trig. functions for solutions LQR 1, 5 F-TF Graphs of reciprocal trig. functions Graphs 7 N-Q 1, of inverse trig. functions Begin 2, 3 Q-REI 5, functions unit Define 6,7 relations, functions and 1 to 1 functions Evaluating functions using tables, function rules and graphs Discuss ideas of domain and range Discuss domain restrictions Find the inverse of a function both algebraically and graphically Evaluate compositions of functions both algebraically and graphically Generate March a composition rule to evaluate a composition Graphing unit: Graphs of square root, quadratics, absolute value, exponential, inverse variation, logs, and conic sections in their various forms with shifts as they relate to transformational geometry Determine solutions to systems graphically Define and use discriminant to determine the nature of roots of a quadratic equation Use the sum and product of roots to write a related quadratic equation
A-SSE4 Sequences and Series Define S-CP 1,2,3,4,5,6,7,8,9 arithmetic sequences and series S-MD5 Find common difference, Nth term and sum of n terms A-APR5 Define geometric sequence Find common ratio, Nth term and sum of n terms Probability unit Define and use Sigma notation Define and use counting principle, permutations and combinations April Define and be able to find probabilities of single and multiple events using both permutations and combinations Find probability related to Bernoulli probabilities of "exact" #'s of success and "at least" and "at most" 3's of successes Define and be able to find Binomial expansions using combinations S-ID 1, 2, 3 4, 5, 6, 7, Statistics 8, 9 S-IC 1,2, Review and use measure of central tendency 4, 6 Define and use a normal distribution to answer related questions Utilize calculator to find standard deviation and answer related distribution questions Regressions Analysis May Define regression basics and correlation coefficient Utilize calculator to find regression equations Use regression equations both algebraically and graphically to determine missing values Begin Regents Review
Regents Review June