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Precalculus Honors Chapter 2 – Polynomial and Rational Functions DATE SCORE LESSON/ASSESSMENT HOMEWORK 2.1 Quadratic Functions F, 9/9 Objectives Essential question: 1. How do you sketch graphs and write equations of parabolas? 2. --------- --------3. M, 9/12 Analyze graphs of quadratic functions. Write quadratic functions in standard form and use the results to sketch graphs of functions. Find minimum and maximum values of quadratic functions in real-life applications. Page 96: 58, 11, 12, 23, 28, 31 ------------------Pages 9699: 1-4, 37, 40, 65, 73, 74, 88 Standards: PC.FIF.4, PC.AAPR.3, PC.ASE.2 2.2 Polynomial Functions of Higher Degree Tu, 9/13 --------W, 9/14 Objectives Essential Question 1. How do you sketch the graphs of polynomial functions? 2. --------- 3. 4. Use transformations to sketch graphs of polynomial functions. Use the Leading Coefficient Test to determine the end behavior of graphs of polynomial functions. Find and use zeros of polynomial functions as sketching aids. Use the Intermediate Value Theorem to help locate zeros of polynomial functions. Standards: Pages 109110: 9-17, 29, 31, 37, 55, 61, 67 ------------------Pages 109112: 1-8, 87, 89, 95, 102, 111, 114-118, 120 PC.AAPR.3, PC.FBF.3, PC.FIF.4 2.3 Real Zeros of Polynomial Functions Objectives Essential Question 1. How do you divide a polynomial by another polynomial and use polynomial division to find the rational and real zeros of polynomials? 2. Th, 9/15 3. --------- --------- 4. M, 9/19 5. Use long division to divide polynomials by other polynomials. Use synthetic division to divide polynomials by binomials of the form (x - k). Use the Remainder and Factor Theorems. Use the Rational Zero Test to determine possible rational zeros of polynomial functions. Use Descartes’ Rule of Signs and the Upper and Lower Bound Rules to find zeros of polynomials. Pages 124125: 9, 15, 18, 23, 28, 43, 47, 53 ------------------Pages 124127: 1-8, 57, 60, 61, 87, 94, 112, 114 Standards: PC.AAPR.2, PC.AAPR.6 Tu, 9/20 Review for Quiz Study for Quiz W, 9/21 Quiz: 2.1 to 2.3 None 2.4 Complex Numbers Essential Question Objectives 1. 2. Th, 9/22 3. 4. Use the imaginary unit i to write complex numbers. Add, subtract, and multiply complex numbers. Use complex conjugates to write the quotient of two complex numbers in standard form. Find complex solutions of quadratic equations. How do you perform operations with complex numbers? Pages 133134: 1-6, 15, 25, 33, 43, 55, 59, 63, 66, 73, 95-100, 102 Standards: PC.NCNS.2, PC.NCNS.3 2.5 The Fundamental Theorem of Algebra F, 9/23 Objectives Essential Question 1. How do you find all the zeros of a polynomial function? 2. 3. 4. Use the Fundamental Theorem of Algebra to determine the number of zeros of a polynomial function. Find all zeros of polynomial functions, including complex zeros. Find conjugate pairs of complex zeros. Find zeros of polynomials by factoring. Pages 140141: 1-4, 11, 17, 35, 42, 47, 51, 61, 71, 73, 74, 76 Standards: PC.NCNS.9, PC.NCNS.7, PC.AAPR.3 2.6 Rational Functions and Asymptotes M, 9/26 Objectives Essential Question 1. How do you find the domain and asymptotes of a rational function? 2. 3. Find the domain of rational functions. Find vertical and horizontal asymptotes of graphs of rational functions. Use rational functions to model and solve real-life problems. Pages 147150: 1-4, 11-16, 18, 19, 23, 25, 45, 50, 51 54, 56 Standards: PC.FIF.4, PC.FIF.5, PC.FIF.7a 2.7 Graphs of Rational Functions Tu, 9/27 Objectives Essential Question 1. How do you sketch the graph of a rational function? 2. --------W, 9/28 --------3. Analyze and sketch graphs of rational functions. Sketch graphs of rational functions that have slant asymptotes. Use graphs of rational functions to model and solve real-life problems. Page 157: 5, 17, 21, 24, 29, 32 ------------------Page 157160: 1-4, 51, 61, 69, 72, 85, 93, 94, 98 Standards: PC.FIF.4, PC.FIF.5, PC.FIF.7 Th, 9/29 F, 9/30 M, 10/3 Chapter 2 Practice Test Study for Test Chapter 2 Review and Bonus Oops! Chapter 2 Test (2.1-2.7) None