Honors Precalculus Mapping Guide Chapter One Tammy Fodor Materials & Date Essential Questions Content Standard(s) Content Skills Assessment Strategies PC-3.6 – Carry out a procedure to Solve problems graphically, Complete problems 3, SAT Bellwork, Days 1-2 How does solve polynomial equations Solve problems algebraically. 9, 23 , 31, 33, 41, 43, Text, technology enable algebraically. 47-55 odd on pp. 50- Wireless slate, 8/16-19 us to solve PC 3.7 - Carry out a procedure to 51 in the text. Projector, problems? solve polynomial equations Graphing graphically. Calculators PC-3.6 – Carry out a procedure to Solve problems graphically, Complete problems 3, SAT Bellwork, Day 3 solve polynomial equations Solve problems algebraically. 9, 23 , 31, 33, 41, 43, Text, algebraically. 47-55 odd on pp. 50- Wireless slate, 8/20-23 How do diverse PC 3.7 - Carry out a procedure to 51 in the text. Projector, problem solving solve polynomial equations Graphing techniques provide graphically. Calculators different methods PC-3.10 – Carry out a procedure to Solve inequalities graphically, Complete problems 5, SAT Bellwork , Days 4-5 for visualizing, solve polynomial inequalities Solve inequalities 7, 11, 15, 21-29 odd, Text, analyzing and algebraically, algebraically. 33 on p. 59 in the Wireless slate, 8/24-27 understanding PC-3.11 – Carry out a procedure to text. Projector, data? solve polynomial inequalities Graphing graphically. Calculators PC-2.6 – Analyze a function or the Define a function, Complete problems 1, SAT Bellwork , symmetry of its graph to Find the domain of a 3, 5, 7, 13, 15, 17, 19, Text, Day 6 determine whether the function, 21, 23, 27, 31, 33, 37, Wireless slate, How do functions function is even, odd, or Find the range of a function, 39, 41, 43, 49, 53, Projector, 8/30-31 and graphs form neither, Distinguish between 57, 61, 63, 65 on Graphing the basis for PC-2.7- Recognize and use continuous and discontinuous p. 98 in the text. Calculators understanding the connections among functions, mathematics and significant points of a Recognize discontinuity applications for function (roots, maximum types, future use in the points, and minimum points), Identify boundedness, work place and in the graph of a function, and Identify extrema, coursework in the algebraic representation Identify symmetry, college? of a function, Identify asymptotes. PC-3.1 – Carry out a procedure to graph quadratic and higher- order polynomial functions by analyzing intercepts and end behavior, PC-3.4 – Carry out procedures to determine characteristics Why is it important of rational functions to know the twelve (including domain, range, basic functions and intercepts, asymptotes, and their properties? discontinuities. PC-3.8 – Carry out a procedure to solve rational equations graphically, PC-3.9 – Carry out a procedure to Why is it important solve rational inequalities to realize that graphically. most functions PC-2.1 Carry out a procedure to Identify all the parent Complete problems 1- SAT Bellwork , encountered in graph parent functions, functions and their graphs. 27 odd, 31, 37, 45, Text, Day 7 everyday life can PC-2.5 – Analyze graphs, tables, and 51, 57 p. 108 in the Wireless slate, be created or equations to determine the text. Projector, 9/1-2 combined by domain and range of parent Graphing modifying other functions or transformations Calculators. functions? of parent functions. Take a quiz covering the Take a quiz covering SAT Bellwork , concepts discussed thus far. all concepts studied Text, Day 8 thus far. Wireless slate, Projector, 9/3-7 How can studying Quizzes, transformations Graphing help you to Calculators understand the PC-2.8 – Carry out a procedure to Add, subtract, multiply, and Complete problems 1, SAT Bellwork, relationships determine whether the divide functions, 3, 5, 9, 11, 13, 15, 17, Text, Days 9 - 10 between graphs inverse of a function exists. Compose functions, 19, 39, 41, 43, 45, 47, Wireless slate, that have PC-2.9 – Carry out a procedure to Decompose functions. 53, 55, 57, 61 on p. Projector, 9/8-13 similarities but are write a rule for the inverse of Find inverses of functions. 127. Graphing not the same? a function, if it exists. Calculators PC-2.2 – Carry out a procedure to Transform functions Complete problems 1, SAT Bellwork, graph transformations of algebraically, 3, 7, 11, 15, 17, 19, Text, Day 11 parent function and Transform functions 21, 23, 25, 27, 29, Wireless slate, combinations of graphically. 35, 39, 43, 47, 49, Projector, 9/14-15 transformations, 51, 53 on p. 129. Graphing PC-2.3 – Analyze a graph to describe Calculators the transformation of parent functions, How can using a PC-2.4 – Carry out procedures to function to model a algebraically solve equations variable under involving parent functions or observation in transformations of parent terms of another functions, variable often allow PC-2.5 – Analyze graphs, tables, and you to make equations to determine the predictions in domain and range of parent practical functions or transformations situations? of parent functions. PC-1.1 – Communicate knowledge of Solve application problems Complete problems SAT Bellwork, algebraic and trigonometric using functions. 21-33 odd, 37 on p. Text, relationships by using 157 in the text. Wireless slate, Day 12 mathematical terminology Projector, appropriately, Graphing 9/16-17 PC-1.2 – Connect algebra and Calculators trigonometry with other branches of mathematics, PC-1.3 – Apply algebraic methods to solve problems in real-world contexts, PC-1.4 – Judge reasonableness of mathematical solutions, PC-1.6 – Understand how algebraic and trigonometric relationships can be represented in concrete models, pictorial models, and diagrams. Take a quiz on the concepts Take a quiz on the SAT Bellwork, discussed in chapter 1 concepts discussed in Text, Day 13 section 4 to chapter 1 section chapter 1 section 4 to Wireless slate, 6. chapter 1 section 6. Projector, 9/20-21 Complete a review sheet Complete a review Quizzes, covering all concepts sheet covering all Review sheets, discussed in chapter one. concepts discussed Graphing in chapter one. Calculators Complete a review sheet Complete a review SAT Bellwork, covering all concepts sheet covering all Text, Day 14 discussed in chapter one. concepts discussed in Wireless slate, chapter one. Projector, 9/22-23 Review sheets, Graphing Calculators Take a test covering all Take a test covering SAT Bellwork, concepts discussed in all concepts Text, Day 15 chapter one. discussed in chapter Wireless slate, one. Projector, 9/24-27 Tests Graphing Calculators Honors Precalculus Mapping Guide Chapter Two Date Essential Questions Content Standard(s) Content Skills Assessment Materials PC–1.6 – Understand how algebraic Recognize and graph linear Complete problems 7, SAT Bellwork, How can linear and and trigonometric and quadratic functions, 9, 13-31 odd, 55, 57, Text, quadratic functions relationships can be Use linear and quadratic 61, 68, 69 on p. 175 in Wireless slate, be used to model represented in concrete functions to model the text Projector, Days 16-17 real-life problems? models, pictorial models, application problems. Graphing and diagrams, Calculators 9/28-10/1 PC–3.5 – Analyze given information How do regression to write a polynomial equations aid in function that models a solving real-life given problem situation, problems? PC-3.7 – Carry out a procedure to solve polynomial equations graphically. How do regression equations help in PC–1.6 – Understand how algebraic Identify power functions and Complete problems 1- SAT Bellwork, making predictions and trigonometric variation. 9 odd, 29-53 odd, 59- Text, about the future? relationships can be Graph power functions, 65 odd on p.189 in the Wireless slate, represented in concrete Model with power functions. text. Projector, Days 18-19 models, pictorial models, Graphing How can power and diagrams, Calculators 10/4-7 functions be used PC-4.6 – Analyze given information to solve problems to write a exponential in geometry, function that models a chemistry, and given problem situation, physics? PC-4.9 – Carry out a procedure to solve exponential equations graphically. How can polynomial functions be used Take a quiz covering the Take a quiz covering SAT Bellwork, Day 20 to approximate concepts discussed thus far. the concepts Text, more complicated discussed thus far. Wireless slate, 10/18-11 functions in Projector, calculus? Quizzes, Graphing Calculators How are rational PC–1.6 – Understand how algebraic Graph and analyze regression Complete problems SAT Bellwork, functions used in and trigonometric equations. 45-53 odd, 64, 66, Text, Days 21-22 calculus and in relationships can be 67, on p. 176 and 55 Wireless slate, scientific represented in concrete and 57 on p. 191 in the Projector, 10/12-15 applications such as models, pictorial models, text, Regression Kepler’s Law? and diagrams, sheets, PC–3.5 – Analyze given information Graphing to write a polynomial Calculators function that models a How do rational given problem situation, equations and PC-4.9 – Carry out a procedure to inequalities aid in solve exponential equations modeling real-life graphically. problems? PC-3.1 – Carry out a procedure to Graph polynomial expressions, Complete problems 3, SAT Bellwork, graph quadratic and higher Predict the end behavior of 7, 21, 23, 25, 27, 35, Text, Day 23-25 order polynomial function polynomial expressions, 37, 43, 45, 47, 53, 63, Wireless slate, by analyzing intercepts and Find the zeros of polynomial 65, and 67 on p. 202 Projector, 10/19-26 end behavior, expressions both in the text. Graphing PC-3.3 – Carry out a procedure to algebraically and graphically. Calculators calculate the zeros of polynomial functions from a set of possible zeros, Take a quiz covering the two Take a quiz covering SAT Bellwork, Day 26 previous sections. the two previous Text, sections. Wireless slate, 10/26-27 Projector, Quizzes Graphing Calculators PC-3.2 – Apply the Rational Root Divide polynomials using long Complete problems 1- SAT Bellwork, Days 27-28 Theorem to determine a set division or synthetic division 47 odd on p. 216. Text, of possible rational roots of Apply the Remainder Wireless slate, 10/29-11/5 a polynomial equation. Theorem, Factor Theorem, Projector, Find upper and lower bounds Graphing for zeros of polynomials. Calculators PC-3.4 – Carry out procedures to Describe the graphs of Complete problems 1- SAT Bellwork, Days 29-31 determine characteristics of rational function, 61 odd on p. 246 in Text, rational functions, including Identify horizontal and the text. Wireless slate, 11/8-15 domain, range, intercepts, vertical asymptotes, Projector, asymptotes, and Predict the end behavior of Graphing discontinuities. rational functions. Calculators Day 32 Compass Testing and Field Trip – too many absent for quiz – reviewed for 11/16-17 quiz with students who were present Take a quiz covering the two Take a quiz covering SAT Bellwork, Day 33 previous sections. the two previous Text, sections. Wireless slate, 11/18-19 Projector, Quizzes Graphing Calculators PC-3.8 – Carry out a procedure to Solve equations involving Complete problems SAT Bellwork, solve rational equations fractions using both 23-31 odd, 39-43 odd Text, Day 34 algebraically, algebraic and graphical on p. 254 in the text. Wireless slate, PC-3.9 – Carry out a procedure to techniques, Projector, 11/22-23 solve rational equations Identify extraneous Graphing graphically. solutions. Calculators PC-3.5 – Analyze given information Solve inequalities involving Complete problems 7- SAT Bellwork, Day 35 to write a polynomial function polynomials and rational 19 odd, 33-53 odd on Text, that models a given problems functions by using both p. 265 in the text. Wireless slate, 11/29-30 situation. algebraic and graphical Projector, PC-3.6 – Carry out a procedure to techniques. Graphing solve polynomial equations Calculators algebraically, PC-3.7 – Carry out a procedure to solve polynomial equations graphically, PC-3.8 – Carry out a procedure to solve rational equations algebraically, PC-3.9 – Carry out a procedure to solve rational equations graphically. Take a quiz on the concepts Take a quiz on the SAT Bellwork, discussed in chapter 2 concepts discussed in Text, Day 36 section 7 to chapter 2 chapter 2 section 7 Wireless slate, section 9. to chapter 2 section Projector, 12/1-2 Complete a review sheet 9, Quizzes, covering all concepts Complete a review Review Sheets discussed in chapter one. sheet covering all Graphing concepts discussed in Calculators chapter one. Complete a review sheet Complete a review SAT Bellwork, Day 37 covering all concepts sheet covering all Text, discussed in chapter two. concepts discussed in Wireless slate, 12/3-6 chapter two. Projector, Review sheets, Graphing Calculators Take a test covering all Take a test covering SAT Bellwork, Day 38 concepts discussed in all concepts Text, chapter two. discussed in chapter Wireless slate, 12/7-8 two Projector, Tests, Graphing Calculators. Complete a review sheet Complete a review SAT Bellwork, Days 39-40 covering all concepts covered sheet covering all Text, in first semester. concepts covered in Wireless slate, 12/9-14 first semester. Projector, Review sheets, Graphing Calculators Take an exam covering all Take an exam SAT Bellwork, Day 41 concepts discussed in first covering all concepts Text, semester. discussed in first Wireless slate, 12/15-16 semester. Projector, Exams, Graphing Calculators. 12/17 Half day on Dec 17 – didn’t meet with 1/2 A Honors Precalculus Mapping Guide Chapter Three Date Essential Questions Content Standard(s) Content Skills Assessment Materials How do PC-4.1 – Carry out a procedure to graph Describe the parent Complete problems SAT Bellwork, exponential and exponential functions by analyzing functions symbolically 1-61 odd, 66 omit Text, Day 42 logistic functions intercepts and end behavior, and graphically of 11, 13, 39, 59on p. Wireless slate, model growth PC-4.3 – Carry out procedures to determine exponential functions, 286 in the text Projector, 1/3-4 patterns? characteristics of logarithmic Define the domain and Graphing functions, including domain, range, range, Calculators intercepts and asymptotes. Investigate effects of parameter changes on Why do the graph. exponential functions model PC-4.6 – Analyze given information to write an Analyze a situation Complete 1-19, 29, SAT Bellwork, unrestricted exponential function that models a modeled by an 31, 33, 39, 41, 45 Text, Day 43 growth while given problem situation. exponential function, on p. 296 in the Wireless slate, logistic functions Formulate an equation text. Projector, 1/5-6 model restricted and solve graphically. Graphing growth? Calculators PC-4.2 – Carry out a procedure to graph Develop the definition Complete problems SAT Bellwork, Day 44 logarithmic functions by analyzing of logarithms, 5, 11, 17, 19-61 Text, end behavior and asymptotes, Describe the parent every other odd on Wireless slate, 1/7-18 PC-4.4 – Carry out procedures to determine function, p. 308 in the text, Projector, characteristics of logarithmic Define domain and Graphing functions, including domain, range, range. Calculators intercepts, and asymptotes. Take a quiz covering Take a quiz SAT Bellwork, the concepts discussed covering all Text, Day 45 thus far. concepts studied Wireless slate, thus far. Projector, 1/19-20 Graphing Calculators, Quizzes PC-4.7 – Apply laws of logarithms to solve Investigate identities Complete problems SAT Bellwork, problems. graphically and 7, 9, 11, 19, 21, 23- Text, Day 46 algebraically. 50 odd on p. 317 in Wireless slate, the text. Projector, 1/21-24 Graphing Calculators PC-4.8 – Carry out a procedure to solve Solve exponential and Complete problems SAT Bellwork, exponential equations algebraically, logarithmic equations. 3, 9, 13, 17, 19-37 Text, Day 47 PC-4.9 – Carry out a procedure to solve odd, 45, 47, 49 on Wireless slate, exponential equations graphically, p. 331 in the text. Projector, 1/25-26 PC-4.10 – Carry out a procedure to solve Graphing logarithmic equations algebraically, Calculators PC-4.11 – Carry out a procedure to solve logarithmic equations graphically. PC-4.5 – Apply the laws of exponents to solve Interpret rates of Complete SAT Bellwork, Day 48 problems involving rational exponents change, problems 3, 5, 7, Text, Analyze data and solve 11, 13, 15, 17, 19, Wireless slate, 1/27-28 equations. 23, 27, 31, 33, 39, Projector, 45, 47, 51 on p. Graphing 342 in the text. Calculators Take a quiz on the Take a quiz on the SAT Bellwork, concepts discussed in concepts Text, Day 49 chapter 2 section 7 to discussed in Wireless slate, chapter 2 section 9. chapter 3 section Projector, 1/31-2/1 Complete a review sheet 4 to chapter 3 Graphing covering all concepts section 6, Calculators, discussed in chapter Complete a review Quizzes, one. sheet covering all Review sheet concepts discussed in chapter three. Take a test covering all Take a test T SAT concepts discussed in covering all Bellwork, Day 50 chapter three. concepts Text, discussed in Wireless slate, 2/2-3 chapter three. Projector, Graphing Calculators Correct chapter 3 test. Correct chapter 3 SAT Bellwork, Day 51 test Text, Wireless slate, 2/4-7 Projector, Graphing Calculators, Tests Honors Precalculus Mapping Guide Chapter Four Date Essential Questions Content Standard(s) Content Skills Assessment Materials Why is it important PC-5.1 – Understand how angles are Convert between radians and Complete problems 1- SAT Bellwork, Day 52 to learn angle measured in either degrees or degrees. 41 odd on p. 358 of Text, properties when radians, Find arc lengths, the text. Wireless slate, 2/8-9 studying PC-5.2 – Carry out a procedure to Convert to nautical miles, Projector, trigonometric convert between degree Solve problems involving Graphing functions? measure and radian measure. angular speed Calculators PC-5.8 - Analyze given information Define the sic trigonometric Complete problems 5, SAT Bellwork, Day 53 to write a trigonometric functions using the lengths 7, 11, 15, 19-47 odd, Text, equation that models a given of the sides of a right 49, 51, 55, 57, 61 on Wireless slate, 2/10-11 problem situation involving triangle. p. 368 in the text. Projector, How are radians right triangles, Graphing and degrees PC-5.10 – Carry out a procedure to Calculators related? solve trigonometric equations algebraically. PC-5.3 – Carry out a procedure to Solve problems involving the Complete problems 1- SAT Bellwork, Day 54 plot points in the polar trigonometric functions of 47 odd on p. 383 in Text, coordinate system. real numbers and the the text, Wireless slate, 2/14-15 Why is it important properties of the sine and Projector, to learn about both cosine as periodic functions. Graphing radians and Calculators degrees? PC-5.6 – Apply a procedure to Complete the unit circle. Complete problems SAT Bellwork, Day 55 evaluate trigonometric 49-52 on p. 384. Text, expressions. Wireless slate, 2/16-17 Projector, Graphing How is right Calculators, triangle Unit Circles trigonometry an Take a quiz covering the Take a quiz covering SAT Bellwork, Day 56 integral part of concepts discussed in the concepts Text, many real-world chapter four thus far. discussed in chapter Wireless slate, 2/18-21 applications? four thus far. Projector, Graphing Calculators, Quizzes PC-5.5 – Carry out procedures to Generate the graphs of sine Complete problems SAT Bellwork, Day 57 determine characteristics of and cosine functions, 1-68 multiples of Text, Why is it important trigonometric functions, Explore various three on p. 394 in Wireless slate, 2/22-23 to learn the including domain, range, transformations of the the text. Projector, properties of the intercepts, and asymptotes, graphs of sine and cosine. Graphing unit circle? PC-5.7 – Analyze given information Calculators to write a trigonometric function that models a given problem situation involving How do composite periodic phenomena, trigonometric PC-5.11 – Carry out a procedure to functions enable us solve trigonometric equations to model some graphically. periodic PC-5.5 – Carry out procedures to Day 58 phenomena? determine characteristics of Generate the graphs for the Complete problems SAT Bellwork, trigonometric functions, tangent, cotangent, secant, 1-27 odd on p. 403 in Text, 2/24-25 including domain, range, and cosecant functions, the text. Wireless slate, intercepts, and asymptotes, Explore various Projector, PC-5.7 – Analyze given information transformations of the Graphing How can inverse to write a trigonometric graphs of the tangent, Calculators trig functions be function that models a given cotangent, secant, and used to solve problem situation involving cosecant. trigonometric periodic phenomena, equations? PC-5.11 – Carry out a procedure to solve trigonometric equations graphically. PC-5.5 – Carry out procedures to Day 59 determine characteristics of Graph sums, differences, and Complete problems SAT Bellwork, trigonometric functions, other combinations of 1-41 odd on p. 413 in Text, 3/1-2 including domain, range, trigonometric and algebraic the text. Wireless slate, How is intercepts, and asymptotes, functions. Projector, trigonometry used PC-5.7 – Analyze given information Graphing to solve real-world to write a trigonometric Calculators. problems? function that models a given problem situation involving periodic phenomena, PC-5.11 – Carry out a procedure to solve trigonometric equations graphically. Day 60 Why is it essential Take a quiz on the concepts Take a quiz on the SAT Bellwork, to know how to discussed in chapter 4 concepts discussed Text, 3/3-4 solve trig problems section 4 to chapter 4 in chapter 2 section Wireless slate, with and without section 6. 7 to chapter 2 Projector, the use of a section 9, Graphing calculator? Calculators, Quizzes PC-5.13 – Apply a procedure to solve Find the inverse trig Complete problems 1- SAT Bellwork, Day 61 trigonometric equations functions and solve problems 51 odd on p. 423 in Text, algebraically. using them. the text. Wireless slate, 3/7-8 Projector, Graphing Calculators PC-5.7 Analyze given information to Solve application problems Complete problems 3, SAT Bellwork, Day 62 write a trigonometric with trig functions. 5, 7, 13, 15, 17, 19, Text, function that models a 21, 23, 25 on p. 432 Wireless slate, 3/9-10 given problem situation in the text Projector, involving periodic Graphing phenomena. Calculators Review all concepts discussed Complete problems Text, Day 63 in chapter one. 11-14, 17-28, 29-35, Overhead 49-52, 71-72, 77-82, projector, 3/11-14 94 on pp. 439-441 in Markers, the text. Quizzes, Graphing Calculators. Take a non-calculator test Take a non- SAT Bellwork, Day 64 covering all concepts calculator test Text, discussed in chapter four. covering all concepts Wireless slate, 3/15-16 discussed in chapter Projector, four. Graphing Calculators, Tests Complete a review sheet Complete a review SAT Bellwork, Day 65 covering all concepts sheet covering all Text, discussed in chapter four. concepts discussed Wireless slate, 3/17-21 in chapter four. Projector, Graphing Calculators, Review sheets. Take a calculator test Take a calculator SAT Bellwork, Day 66 covering all concepts test covering all Text, discussed in chapter four. concepts discussed Wireless slate, 3/22-23 in chapter four. Projector, Graphing Calculators

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STATISTICS COURSE, fundamental identities, ADVANCED PLACEMENT, PLACEMENT STATISTICS, Pythagorean Identity, rational expression, square root, Pythagorean Identities, proving identities, Calculus Course

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