NYS Algebra 2 and Trigonometry Pacing Calendar

 

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mathematics pacing calendar two semester planning pearson prentice hall new york algebra 2 and trigonometry semester 2 pacing chapter lesson unit lesson aim lesson objectives suggested class work suggested homework p 1 nysed content strand text chapter 8 exponential and logarithmic functions lesson 8­1 exploring exponential models day 61 part 1 exponential how do we model graphing functions of the pp 430­432 growth exponential growth form y bx where b 1 examples 1­3 quick check 1­3 exercises 1 5 10 36 day 62 part 2 exponential pp 432­434 how do we model graphing functions of decay examples 4­6 exponential decay the form y bx where 0 b 1 quick check 4­6 exercises 16 17 34 41 lesson 8-2 properties of exponential functions day 63 part 1 comparing graphing the family of pp 439­441 what are the roles of the exponential functions examples 1­3 graphs constants in y abcx quick check 1­3 exercises 5 9 16 35 day 64 part 2 the number e how do we use e as a base evaluating exponential pp 441­442 examples 4 5 in a logarithm expressions with base e quick check 4 5 exercises 18 19 25 36 lesson 8-3 logarithmic functions as inverses day 65 part 1 writing and evaluating logarithmic expressions part 2 graphing logarithmic functions how do we evaluate logarithmic expressions evaluating logarithmic expressions pp 446­448 examples 1­4 quick check 1­4 exercises 2 13 14 26 53 pp 448­449 examples 5­6 quick check 5­6 exercises 35 40 75 pp 454­456 examples 1­4 quick check 1­4 exercises 15 25 32 41 exercises 2­4 6­9 11­15 54 55 a2.a.6 a2.a.53 exercises 18­33 35 37­40 43 44 exercises 2­14 even 15 17 27­29 32­34 38 exercises a2.a.12 a2.a.53 20­24 26 30 37 40­47 exercises 2­12 even 15­33 odd 41 48­50 54­56 exercises a2.a.18 a2.a.44 a2.a.54 day 66 how do we graph logarithmic functions graphing logarithmic functions using the inverse of the related exponential function applying the properties of logarithms to rewrite logarithmic expressions 36­39 52 63­74 text lesson 8-4 properties of logarithms day 67 part 1 using the what are the properties properties of logarithms of logarithms and how can we use them exercises 1­9 odd 12­30 even 31 33­39 odd 42 56 57 72 75 a2.a.18 a2.a.19 copyright © pearson

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mathematics pacing calendar two semester planning pearson prentice hall new york algebra 2 and trigonometry semester 2 pacing chapter lesson unit lesson aim lesson objectives suggested class work suggested homework p 2 nysed content strand lesson 8-5 exponential and logarithmic equations day 68 part 1 solving how do we solve exponential equations exponential equations solving exponential equations by taking the logarithm of each side applying the change of base formula day 69 part 2 solving logarithmic equations how do we solve logarithmic equations pp 461­462 examples 1­4 quick check 1­4 exercises 14 18 24 50 pp 462­464 examples 5­7 quick check 5­7 exercises 26 34 47 55 exercises 1­23 odd 49 a2.a.18 a2.a.19 53 54 58 60 exercises 25­41 odd 42­46 56­59 64 69­75 odd 76 77 lesson 8-6 natural logarithms day 70 part 1 natural what is the graph of the logarithms natural logarithmic functions and how do part 2 natural we solve exponential logarithmic and expoequations nential equations graphing natural logarith pp 470­472 mic functions and solving examples 1­5 quick check 1­5 exponential equations exercises 8 18 30 56 exercises 1­21 odd 23­29 40 44 55­61 odd a2.a.27 a2.a.53 text chapter 9 rational functions lesson 9­1 inverse variation day 71 part 1 using inverse how can we use inverse using inverse variation to pp 488­489 variation variation solve for unknown values examples 1­3 quick check 1­3 part 2 using joint and exercises 5 11 14 49 other variations optional text lesson 9-2 the reciprocal function family optional lesson 9-3 rational functions and their graphs optional text lesson 9-4 rational expressions day 72 part 1 rational expressions part 2 multiplying and dividing rational expressions how do we simplify multiply and divide rational expressions simplifying rational expressions by factoring polynomials pp 509­511 examples 1­4 quick check 1­4 exercises 5 12 15 23 exercises 1­12 even 13 15 28­34 even 35 43­48 52 a2.a.5 exercises 1­4 6­11 14­22 even 26 27­31 odd a2.a.7 a2.a.17 copyright © pearson

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mathematics pacing calendar two semester planning pearson prentice hall new york algebra 2 and trigonometry semester 2 pacing chapter lesson unit lesson aim lesson objectives suggested class work suggested homework exercises 1­8 11­21 odd 32­40 even 43 p 3 nysed content strand lesson 9-5 adding and subtracting rational expressions day 73 part 1 adding and subtracting rational expressions part 2 simplifying complex fractions how do we add and subtract rational expressions how do we simplify complex fractions performing addition and subtraction with rational expressions simplifying complex fractional expressions pp 514­516 examples 1­4 quick check 1­4 exercises 9 14 18 37 p 516 example 5 quick check 5 exercises 23 29 44 pp 522­523 examples 1 2 quick check 1 2 exercises 2 19 47 pp 528­529 activity lab activity 1 pp 523­524 examples 3 4 quick check 3 4 exercises 23 32 pp 531­534 examples 1­5 quick check 1­5 exercises 4 10 20 30 a2.n.3 a2.a.17 day 74 exercises 22­30 even 45­51 odd 52 54 lesson 9-6 solving rational equations day 75 part 1 solving rational how do we solve rational equations equations and inequalities activity lab rational inequalities pp 528­529 day 76 part 2 using rational equations how can we use rational equations to solve problems solving rational equalities and inequalities applying rational equations exercises 1­9 odd 10­20 even 27­31 odd 40­52 even pp 528­529 activities 2 and 3 exercises 11 13 15 exercises 22 24 25 33­38 53 55 a2.a.7 a2.a.17 a2.a.23 text lesson 9-7 probability of multiple events day 77 part 1 finding how do we find the calculating theoretical pa and b probability of independent probabilities part 2 finding dependent and mutually pa or b exclusive events text chapter 10 quadratic relations and conic sections text lesson 10-1 exploring conic sections optional text lesson 10-2 parabolas optional exercises 1­3 5­25 odd 36­40 45 copyright © pearson

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mathematics pacing calendar two semester planning pearson prentice hall new york algebra 2 and trigonometry semester 2 pacing chapter lesson unit lesson aim lesson objectives suggested class work suggested homework exercises 2­18 even 35­51 odd 55­63 odd p 4 nysed content strand lesson 10-3 circles day 78 part 1 writing the equation of a circle what is the standard form of an equation of a circle writing an equation of a circle in standard form day 79 part 2 using the center and radius of a circle how do we graph an equation of a circle finding the center and radius of a circle and using them to graph a circle pp 561­563 examples 1­3 quick check 1­3 exercises 5 15 17 46 pp 563­564 examples 4 5 quick check 4 5 exercises 21 29 59 a2.a.47 a2.a.48 a2.a.49 exercises 19 20 22­28 30­34 55­58 60­64 lesson 10-4 ellipses optional lesson 10-5 hyperbolas optional lesson 10-6 translating conic sections optional text chapter 11 sequences and series text lesson 11-1 mathematical patterns day 80 part 1 identifying how do we use a formula to find the nth term of a mathematical patterns part 2 using formulas sequence to generate mathematical patterns lesson 11-2 arithmetic sequences day 81 part 1 identifying and how do we identify an generating arithmetic arithmetic sequence sequences lesson 11-3 geometric sequences day 82 part 1 identifying and how do we identify a geometric sequence generating geometric sequences specifying terms of a sequence pp 600­602 examples 1­4 quick check 1­4 exercises 8 16 20 40 exercises 1­23 odd 24­38 even 45 49 a2.a.29 a2.a.32 a2.a.33 identifying an arithmetic sequence and using the arithmetic mean pp 606­607 examples 1­3 quick check 1­3 exercises 1 2 18 60 pp 612­614 examples 1­3 quick check 1­3 exercises 3 20 26 38 exercises 3­29 odd 32­42 even 47 51 55 62 a2.a.29 a2.a.30 a2.a.32 identifying a geometric sequence and using the geometric mean exercises 2­12 even 13­49 odd a2.a.31 a2.a.32 copyright © pearson

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mathematics pacing calendar two semester planning pearson prentice hall new york algebra 2 and trigonometry semester 2 pacing chapter lesson unit lesson aim lesson objectives suggested class work suggested homework exercises 2­9 11 12 25­31 35­37 p 5 nysed content strand lesson 11-4 arithmetic series day 83 part 1 writing and how do we determine the evaluating arithmetic sum of the first n terms of series an arithmetic series day 84 part 2 using summation notation how do we apply summation notation finding the sum of a finite pp 619­620 examples 1 2 arithmetic series quick check 1 2 exercises 1 10 32 knowing and applying p 621 examples 3 4 sigma notation quick check 3 4 exercises 13 18 22 34 using formulas to evalupp 626­628 ate finite geometric series examples 1­4 quick check 1­4 and convergent infinite exercises 8 9 22 34 geometric series a2.n.10 a2.a.34 a2.a.35 exercises 14­17 19­21 23 24 39­41 lesson 11-5 geometric series day 85 part 1 evaluating a how do we evaluate finite finite geometric series and infinite geometric series part 2 evaluating an infinite geometric series lesson 11-6 area under a curve optional text chapter 12 probability and statistics text lesson 12-1 probability distributions optional lesson 12-2 conditional probability optional lesson 12-3 analyzing data day 86 part 1 measures of how do we find mean central tendency median and mode part 2 box-andhow do we use box-andwhisker plots whisker plots to compare sets of data lesson 12-4 standard deviation day 87 part 1 finding how do we find the standard deviation standard deviation of a set of values day 88 part 2 using standard deviation how do we use standard deviation to describe data exercises 1­7 odd 10­16 even 19­29 odd 30 32 35 38 calculating measures of central tendency and measures of dispersion pp 660­664 examples 1­6 quick check 1­6 exercises 2 6 9 14 exercises 1 3 4 5 7 8 10­13 15­21 a2.s.3 a2.s.4 calculating standard deviation using standard deviation on real-world situations pp 668­671 examples 1­3 quick check 1­3 exercises 2 4 6 28 pp 671­672 examples 4 5 quick check 4 5 exercises 8 11 20 exercises 1­7 odd 15­19 22­26 a2.s.4 exercises 9 10 12­14 21 27 copyright © pearson

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mathematics pacing calendar two semester planning pearson prentice hall new york algebra 2 and trigonometry semester 2 pacing chapter lesson unit lesson aim lesson objectives suggested class work suggested homework exercises p 6 nysed content strand lesson 12-5 working with samples day 89 part 1 sample what is a random sample proportions determining whether there is bias in a given sample finding and using the margin of error day 90 part 2 sample size and margin of error how do we find the margin of error pp 677­678 examples 1 2 quick check 1 2 exercises 3 6 23 pp 678­680 examples 3­5 quick check 3­5 exercises 11 12 16 26 pp 685­687 examples 1­3 quick check 1­3 exercises 1 7 8 24 pp 687­688 example 4 quick check 4 exercises 12 25 pp 692­693 examples 1 2 quick check 1 2 exercises 1 6 28 pp 693­694 examples 3 4 quick check 3 4 exercises 9 11 14 19 1 2 4 5 24 38­43 a2.s.2 a2.s.4 25 mixed review exercises 7­10 13­15 17­22 27­29 test prep 34 35 lesson 12-6 binomial distributions day 91 part 1 finding binomial what is the binomial probabilities probability formula using the binomial probability formula exercises 2­6 9­11 18­21 24 26 a2.s.13 a2.s.15 day 92 part 2 using a binomial distribution how do we use binomial distributions using a binomial distribution exercises 13­17 22 test prep 30­35 lesson 12-7 normal distributions day 93 part 1 using a what are the normal distribution characteristics of a normal distribution day 94 part 2 using the standard normal curve how do we determine for a normal distribution the percent of data within a given interval using and sketching a normal curve exercises 2­7 8­10 45­50 a2.s.5 a2.s.16 17 27 mixed review using the normal distribution as an approximation for binomial probabilities exercises 10 12 13 15 16 18 20­26 test prep 32­35 copyright © pearson

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mathematics pacing calendar two semester planning pearson prentice hall new york algebra 2 and trigonometry semester 2 pacing chapter lesson unit lesson aim lesson objectives suggested class work suggested homework p 7 nysed content strand chapter 13 periodic functions and trigonometry lesson 13-1 exploring periodic data day 95 part 1 identifying what are the characterisperiodic functions tics of a periodic function identifying periodic functions their cycles and periods determining the amplitude of a periodic function day 96 part 2 finding the amplitude of a periodic function how do we find the amplitude of a periodic function given its graph pp 710­712 examples 1 2 quick check 1 2 exercises 1 6 17 pp 712­713 examples 3 4 quick check 3 4 exercises 10 16 exercises 2­5 7­9 18­20 23­30 a2.a.69 exercises 11­15 21 22 test prep 35­40 lesson 13-2 angles and the unit circle day 97 part 1 working with angles in standard position part 2 using the unit circle how do we measure and sketch angles in the standard position how do we find coordinates of points on the unit circle sketching and using the pp 718­719 reference angle for angles examples 1­3 in standard position quick check 1­3 exercises 1 8 15 37 sketching the unit circle pp 720­722 and representing angles in examples 4 5 quick check 4 5 standard position exercises 22 28 51 converting between radian and degree measures of angles determining the length of an arc of a circle pp 726­728 examples 1­3 quick check 1­3 exercises 1 8 14 40 pp 728­729 examples 4 5 quick check 4 5 exercises 20 27 29 exercises 2 ­11 odd 16­20 38­48 even a2.a.57 a2.a.60 day 98 exercises 21 23­27 63­68 29­36 50 test prep lesson 13-3 radian measure day 99 part 1 using radian measure what are two methods to convert between degrees and radians how do we find the length of an arc exercises 2­6 even 7­19 odd 31­41 odd 44 46 exercises 21­26 28 30 45 47 48 50 51 test prep 58­62 2.a.61 a2.m.1 a2.m.2 day 100 part 2 finding the length of an arc copyright © pearson

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mathematics pacing calendar two semester planning pearson prentice hall new york algebra 2 and trigonometry semester 2 pacing chapter lesson unit lesson aim lesson objectives suggested class work suggested homework exercises 2­11 13 14 34­39 43 44 p 8 nysed content strand lesson 13-4 the sine function day 101 part 1 interpreting sine functions what are the properties of sine functions finding the period and amplitude of sine curves pp 734­736 examples 1­4 quick check 1­4 exercises 1 12 15 42 pp 737­738 examples 5­7 quick check 5­7 exercises 16 26 33 40 pp 743­744 examples 1 2 quick check 1 2 exercises 1 8 25 pp 744­745 examples 3 4 quick check 3 4 exercises 10 13 16 33 pp 749­751 examples 1­3 quick check 1­3 exercises 1 11 16 22 pp 756­758 examples 1­4 quick check 1­4 exercises 9 18 28 45 pp 759­760 examples 5 6 quick check 5 6 exercises 31 37 38 a2.a.56 a2.a.69 day 102 part 2 graphing sine functions how do you graph a sine function given its rule sketching the graph of a sine function exercises 17­25 27­32 41 45­50 lesson 13-5 the cosine function day 103 part 1 graphing and what are the properties writing cosine of cosine functions functions day 104 part 2 solving trigono how can we solve a cosine metric equations equation finding the period and amplitude of cosine curves using a graphing calculator to solve a cosine equation exercises 2­7 9 22­24 a2.a.56 a2.a.70 48­50 26­29 mixed review exercises 11 12 14 15 17­21 30­32 34 35 lesson 13-6 the tangent function day 105 part 1 graphing the what are the properties of tangent function tangent functions sketching the graph of y tan exercises 2­10 even 12­15 17­21 23 25 26 28 29 30 38­41 a2.a.71 lesson 13-7 translating sine and cosine functions day 106 part 1 graphing how do we use phase shift translations of to graph a horizontal transtrigonometric functions lation of a trigonometric function day 107 part 2 writing how do we write an equations of translations equation to describe a translation determining phase shift exercises 1 2 5­8 10­14 19­27 29 30 a2.a.69 a2.a.70 using a graph to find the values of a b h and k in y a cos bx­h k exercises 32­36 55­57 39­44 46 test prep copyright © pearson

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mathematics pacing calendar two semester planning pearson prentice hall new york algebra 2 and trigonometry semester 2 pacing chapter lesson unit lesson aim lesson objectives suggested class work suggested homework exercises 2­20 even 21­27 odd 44­49 54­58 exercises 30­37 40 50­53 59 60 61­67 odd p 9 nysed content strand lesson 13-8 reciprocal trigonometric functions day 108 part 1 evaluating what are the cosecant reciprocal trigonometric secant and cotangent functions functions day 109 part 2 graphing how do we graph the reciprocal trigonometric cosecant secant and functions cotangent functions chapter 14 trigonometric identities and equations lesson 14-1 trigonometric identities day 110 part 1 verifying what are the pythagorean trigonometric identities identities evaluating the cosecant secant and cotangent functions graphing the cosecant secant and cotangent functions pp 763­764 examples 1­3 quick check 1­3 exercises 5 9 26 43 pp 765­766 examples 4­6 quick check 4­6 exercises 29 38 39 41 a2.a.58 a2.a.71 justifying the pythagorean pp 778­780 examples 1­3 identities quick check 1­3 exercises 1 20 32 lesson 14-2 solving trigonometric equations using inverses day 111 part 1 inverses of how do we evaluate restricting the domain of pp 783­784 examples 1­4 trigonometric functions inverses of trigonometric trigonometric functions quick check 1­4 functions to ensure the existence exercises 1 6 13 of an inverse function day 112 part 2 solving how do we solve using inverse trig pp 785­786 examples 5­7 trigonometric trigonometric functions to solve equations equations trigonometric equations quick check 5­7 exercises 21 26 34 43 lesson 14-3 right triangles and trigonometric ratios day 113 part 1 right triangles how are the sides of a expressing trigonometric pp 792­794 and trigonometric ratios right triangle related to functions in terms of the examples 1­3 quick check 1­3 the six trigonometric sides of a right triangle exercises 4 5 34 functions day 114 part 2 finding the how do we use trigonom using inverses of trigono p 795 examples 4 5 measures of angles in etry to find the measures metric functions to find quick check 4 5 a right triangle of angles in a right triangle measures of the acute exercises 9 15 18 40 angles in a right triangle exercises 2­18 even 21­51 odd a2.a.58 a2.a.57 exercises 2­5 7­11 82­87 a2.a.63 a2.a.68 14 15 mixed review exercises 16­24 even 27­41 odd 44 44­56 even 62 exercises 1­3 6­8 25­33 42­45 a2 a.55 a2.a.56 exercises 10­14 19­23 35­39 41 48 copyright © pearson

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mathematics pacing calendar two semester planning pearson prentice hall new york algebra 2 and trigonometry semester 2 pacing chapter lesson unit lesson aim lesson objectives suggested class work suggested homework exercises 1­9 odd 12­24 even 32­42 even p 807 exercises 1­7 exercises 1­5 odd 8­12 even 13­29 odd 34­46 even p 10 nysed content strand lesson 14-4 area and the law of sines day 115 part 1 area and the given two angle measures law of sines and one side length how extension p 807 can we find the remaining the ambiguous case measures and lengths lesson 14-5 law of cosines day 116 part 1 the law of cosines applying the law of sines pp 801­803 examples 1­4 quick check 1­4 exercises 4 8 11 28 p 807 example solving for an unknown side or angle using the law of cosines pp 809­810 examples 1­3 quick check 1­3 exercises 4 7 16 47 pp 814­816 examples 1­3 quick check 1­3 exercises 4 12 16 50 pp 816­817 examples 4 5 quick check 4 5 exercises 18 21 22 43 a2.a.73 a2.a.74 a2.a.75 how do we apply the law of cosines to find missing measures in any triangle a2.a.66 a2.a.73 lesson 14-6 angle identities day 117 part 1 angle identities how do we verify and use angle identities day 118 part 2 sum and difference identities how do we verify and use sum and difference identities using identities to simplify and manipulate trigonometric expressions applying the angle sum and difference formulas exercises 1­5 7­11 65­74 a2.a.56 a2.a.76 13­15 52 mixed review exercises 17 19 20­42 even 45­51 odd test prep 58­61 lesson 14-7 double-angle and half-angle identities day 119 part 1 double-angle how do we verify and use identities the double-angle identities day 120 part 2 half-angle identities how do we verify and use the half-angle identities applying the double-angle pp 821­822 examples 1 2 formula quick check 1 2 exercises 1 10 33 applying the half-angle pp 822­823 examples 3 4 formula quick check 3 4 exercises 16 19 38 exercises 3­9 27­29 34­37 42­46 a2.a.56 a2.a.77 exercises 11­15 17 18 20­26 30­32 39­41 47 copyright © pearson

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