Unit 1: Equivalent Algebraic Expressions 1 First day sheet Getting Ready 2 Adding and Subtracting Polynomials Textbook Homework P. 82 except 7 2.1 P. 881bc, 2, 4-6alt, 7(1 method), 8a-e, 11, 12a 3 Multiplying Polynomials 2.2 P. 95 1c, 2, 4bce, 5abe, 6a, 8(1 method), 9, 10 4 Factoring Polynomials 2.3 P. 102 1, 3, 4a-d, 5, 6abcf, 7abc, 8 5 Simplifying Rational Expressions 6 Multiplying and Dividing Rational Expressions 7 Adding and Subtracting Rational Expressions (Day 1) 8 Adding and Subtracting Rational Expressions (Day 2) 2.4 P. 112 1-3, 4-6alt, 8-10, 15 and p. 103 7 2.6 p. 121 1-3, 4cd, 5cd, 6abcd, 7cd, 9 2.7 P. 128 1-6 2.7 P. 129 7alt, 9-11 9 Review p. 132 1, 3-16 10 Test
Unit 2: Introduction to Functions Textbook Homework 1 Relations and Functions 1.1 P. 10 1-2(together) 3, 4(explain both), 6, 7, 9(omit a, explain c), 12, 15 2 Functional Notation 1.2 P. 22 1adf, 2,3, 5-7, 11, 12, 16, 17 3 Exploring Properties of 1.3 Learn the new functions. Parent Functions P. 28 1-3 4 Determining Domain and Range 1.4 P.35 1-5, 7, 8, 9a-e, 10ab, 15, 16 5 Inverse Functions 1.5 p. 46 1-3, 4-6alt, 10de, 12, 16, 17, 20 6 Exploring 1.6 P. 51 1-3 Transformations of Parent Functions 7 Horizontal Stretches, Compressions and Reflections 1.7 P. 58 1, 2, 4-8, 10bcd, 12 8 Graphing Functions of the form y = a f [k (x - d)] + c 1.8 P. 70 1-4, 6, 7-9bc, 10, 12, 13, 16-19 9 Review p. 76 1,2,4-6,8,10,13-17 10 Test
Unit 3: Quadratic Functions Textbook Homework 1 Properties of 3.1 P. 145 1cd, 5, 7, 11 Quadratic Functions 2 Maximum and Minimum Value (and real life examples of 3.2 P. 153 1-4(all questions using different methods), 7ac, 8, 11ab the parabola) 3 Inverse of a Quadratic 3.3 P. 160 1-3, 5-7, 10, 13 Function 4 Operations with Radicals 3.4 P. 167 1-5, 6alt, 7alt, 8-13 5 Rationalizing Worksheet Denominator 6 Solving Quadratic Equations (day 1) 3.5 p. 177 1ac, 2ac, 4acde, 5ab, worksheet 7 Solving Quadratic 3.5 P. 178 8 14 Equations (day 2) 8 The Zeros of a 3.6 P. 185 1-3, 6-10, 14, 16 Quadratic Function Note: 8 delete =0 (and review of all number systems) 9 Families of Functions 3.7 P. 192 4alt, 5alt, 8, 10 10 Linear-Quadratic Systems 3.8 P. 198 2b, 3, 4bc, 6-8, 10, 13 11 Review p. 202 1,2,4-9,11-14,16,17,19,21,23a 12 Test
Unit 4: Trigonometric Ratios 1 Trigonometric Ratios of Acute Angles 2 Trigonometric Ratios for Special Angles 3 Trigonometric Ratios for Angles Greater than 90 o 4 Evaluating Trigonometric Ratios for Angles between 0 o and 360 o. 5 Sine Law and Cosine Law Review 5.1 P. 2801-9, 11, 12 5.2 P. 286 3-11 5.3 P. 292 1-4 5.4 P. 2991-5, 6abc, 7, 8ace, 9abc, 10-12; Worksheet (special) 5.6/5.7 P. 318 1ab, 3c, 4a, 6, 7 P. 326 4-10 (8 explain meaning of bearing ) 5.6 p. 318 1-3alt, 5, 6, 8, 11, 13, 18 5.8 P. 332 3ac, 4,6, 7, 11 6 Sine Law with Ambiguous Case 7 Solving Three-Dimensional Problems Using Trigonometry 8 Review P. 338 1,2,3ab,4,5,8ab,9-11 9 Test
Unit 5: Sinusoidal Functions 1 Trigonometric Identities 5.5 P. 310 1-3, 5, 8, 11 PLUS sheet from FM12 2-9, 12,16,22 Graphing Trigonometric Functions 2 Periodic Functions and 6.1 P. 352 1-8 their Properties 3 Graphing y=sinx and y=cosx 6.2 Learn the basic graphs for a quiz tomorrow [using the unit circle] 4 Transformations of 6.4 p. 379 1acd, 2bcef Sinusoidal Functions Day 1 Worksheet 1abce, 2abdeg and sketch 5 Transformations of Sinusoidal Functions Day 2 - P. 384 4, 6, 7 Graph and state the domain and range of: y =-3cos4(x-45 o ) y = 2cos2(x+45 o )+2 y = 3sin x-90 o y=sin(2x-90 o ) (or worksheet) Word problems 6 Interpreting Sinusoidal 6.3 P. 371 1-3, 5, 8, 11 Functions Worksheet 6, 9, 15 7 Models of Sinusoidal Functions (optional) 6.6 p. 392 1-4, 5ac, 6ac, 7, 8, 11, 13 8 Solving Problems with 6.7 p. 398 1, 2, 5, 6, 8 Sinusoidal Functions 9 Review p. 339 6, 7 p. 404 1-6, 8-13 10 Test
Unit 6: Exponential Functions 1 Exponent Rules I 4.2 P. 221 1, 2, 4-6, 7d, 9alt, 13alt, 18ac 2 Exponent Rules II 4.3 P. 229 1-6, 12-15 3 Algebraic Expressions with Exponents 4.4 P. 235 1alt, 2alt, 4alt, 5alt, 6alt, 9 4 Exploring Properties of 4.5 P. 243 1, 2 Exponential Functions (Graphing y=2 x and y=(0.5) x and Learn the two basic graphs learning their properties and Worksheet finite differences) 5 Transformations of Exponential Functions 4.6 P. 251 1-3, 4ab, 5a 9, 10 6 Applications Involving 4.7 P. 261 1-7, 8, 10 Exponential Functions Day 1 7 Applications Involving 4.7 P. 261 9, 13, 14-16 Exponential Functions Day 2 P. 269 14-17 8 Review p. 267 1-5, 8-15, 17 9 Test
Unit 7: Discrete Functions: Sequences and Series 1 Arithmetic Sequence 7.1 P. 424 1, 3, 4, 5i, 8i,iii, 9, 10, 13, 15 2 Geometric Sequences 7.2 P. 430 1-5, 7, 11 3 Creating Rules to Define 7.3 P. 439 2, 4, 7 Sequences (half lesson?) (optional) reasonable questions, like 7 needed as 4 Recursion Sequence with the Fibonacci sequence, the golden ratio 7.1/7.2/ 7.4 suppl. P. 424 2, 5ii, 6, 8ii P. 430 2, 5ii, 6ii, 8, 9 5 Arithmetic Series 7.5 p. 452 1-3, 4-7alt, 10, 11, 13, 15, 16 6 Geometric Series 7.6 P. 459 1, 2, 3-6alt, 7, 9, 11, 16 7 Pascal s Triangle and 7.7 P. 466 2-5, 10 Binomial Expansion 8 Review p. 468 2-10,14-16, 18, 20-23 9 Test
Unit 8: Financial Applications of Discrete Functions 1 Simple Interest 8.1 P. 481 1-8 Worksheet 5,6 2 Compound Interest and Simple Interest 8.2 P. 490 1, 3-5, 7, 10, 12 3 Present Value 8.3 P. 498 3-6 4 Annuities: Future Value 8.4 P. 511 5-7, 9 5 Annuities: Present Value 8.5 p. 520 3-10 6 Which Formula is used when handout, quiz, worksheet 7 Review p. 534 1-20 8 Test