ࡱ> Z\Y *bjbjWW 8X==`"Ttt8d~T!.(! ! ! ! ! ! !$"%D!D!Y!d!! a`9 !o!0!i&3i&i&PD!D!!i&t : PACING GUIDE FOR Precalculus by Demana, Waits, Foley, Kennedy, 7th edition 2013-14 Sept 4 Sept 13 (8 days) - REVIEW: Chapter P A.1 Radicals and Rational Exponents (pg 839) A.2 Polynomials and Factoring (pg 845) A.3 Fractional Expressions (pg 852) Sept 16 Oct 18 (24 days) - CHAPTER 1: Functions and Graphs Objectives: 2.1 Recognize whether a relation is also a function. 2.2 Given functions f and g, find f + g, f - g, fg, f/g, f ( g, and g ( f. Determine whether a function is invertible. Read and interpret inverses (where applicable) from graphs in application settings. Determine the inverse of a function displayed in table form. Determine the equation of the inverse when algebraically possible. Sketch the inverse graph of an invertible function, manually and using the graphing calculator. 2.8 Determine the domain, range, intercepts, and intervals where the function is increasing or decreasing for polynomial functions, piecewise functions, absolute value functions, rational functions, logarithmic functions, exponential functions, trigonometric functions, families of functions, and the composition of these functions. 2.9 Observe symmetries about points and about lines for piecewise functions, absolute value functions, rational functions, trigonometric functions, families of functions, and the composition of these functions using the graphing calculator. Verify algebraically where possible. 1.1 Modeling and Equation Solving 1.2 Functions and Their Properties 1.3 12 Basic Functions 1.4 Building Functions from Functions 1.5 Inverses 3 days (skip examples 1 and 2: Parametric mode) 1.6 Graphical Transformations 1.7 Modeling with Functions Chapter 1 Review and Test Oct 21 Nov 26 (26 days) - CHAPTER 2: Polynomial, Power, and Rational Functions Objectives: 2.10 Determine graphically relative maximum and minimum values where they exist for piecewise functions, absolute value functions, rational functions, logarithmic functions, exponential functions, trigonometric functions, families of functions, and the composition of these functions. 2.11 Determine any horizontal, vertical, and oblique asymptotes for rational functions, logarithmic functions, exponential functions, trigonometric functions and the composition of these functions algebraically. Verify using the graphing calculator. 2.12 Observe and describe both rigid and non-rigid transformations of polynomial functions, piecewise functions, absolute value functions, rational functions, logarithmic functions, exponential functions, trigonometric functions, families of functions, and the composition of these functions. 2.13 Write an equation for both rigid and non-rigid transformations or composition of functions. 2.15 Graph piecewise functions, absolute value functions, rational functions, logarithmic functions, exponential functions, trigonometric functions, families of functions, and the composition of these functions manually and using the graphing calculator.. 2.1 Linear and Quadratic Functions and Modeling 2.2 Power Functions with Modeling 2.3 Polynomial Functions of Higher Degree with Modeling 2.4 Real Zeros of Polynomial Functions 2.5 Complex Zeros and the Fundamental Theorem of Algebra 2.6 Graphs of Rational Functions 2.7 Solving Equations in One Variable 2.8 Solving Inequalities in One Variable Chapter 2 Review and Test Dec 2 Jan 16 (24 days) - CHAPTER 3: Exponential, Logistic, and Logarithmic Functions + Midterm Review Included Objectives: 2.10 Determine graphically relative maximum and minimum values where they exist for piecewise functions, absolute value functions, rational functions, logarithmic functions, exponential functions, trigonometric functions, families of functions, and the composition of these functions. 2.11 Determine any horizontal, vertical, and oblique asymptotes for rational functions, logarithmic functions, exponential functions, trigonometric functions and the composition of these functions algebraically. Verify using the graphing calculator. 2.12 Observe and describe both rigid and non-rigid transformations of polynomial functions, piecewise functions, absolute value functions, rational functions, logarithmic functions, exponential functions, trigonometric functions, families of functions, and the composition of these functions. 2.13 Write an equation for both rigid and non-rigid transformations or composition of functions. 2.15 Graph piecewise functions, absolute value functions, rational functions, logarithmic functions, exponential functions, trigonometric functions, families of functions, and the composition of these functions manually and using the graphing calculator. 3.1 Exponential and Logistic Functions 3.2 Exponential and Logistic Modeling 3.3 Logarithmic Functions and Their Graphs 3.4 Properties of Logarithmic Functions 3.5 Equation Solving and Modeling 3.6 Mathematics of Finance Chapter 3 Review and Test JAN 21 - JAN 24 (4 days) - REVIEW FOR MIDTERM: TOPICS THROUGH SECTION 3.6 Feb 3 Mar 28 (34 days) - CHAPTER 4: Trigonometric Functions****** Objectives: 3.1 Convert an angle measurement in radians or decimal degrees to an equivalent measurement. 3.2 Calculate the length of an arc of a circle, given the radius and central angle measure. 3.3 Use the definitions of trigonometric functions to evaluate the trigonometric functions. 3.4 State the exact values of the trigonometric functions for 0, (/6, (/4, (/3, and (/2 radians. 3.5 Find reference values and use the symmetries of the unit circle to determine the exact values of the trigonometric functions for 0, (/2, (, 3(/2, 2(/3, 3(/4, 5(/6, 7(/6, 5(/4, 4(/3, 5(/3, 7(/4, and 11(/6 radians. 3.6 Evaluate an expression involving trigonometric functions of real numbers without a calculator. 3.7 Estimate an expression involving trigonometric functions of real numbers using a calculator. 3.11 State the definitions of the inverse sine, cosine, and tangent functions. 3.12 Using a calculator, estimate an expression involving the inverse sine, cosine or tangent functions. 3.13 Without using a calculator, evaluate an expression exactly involving the inverse sine, cosine or tangent functions. 3.14 Using a calculator, estimate the value of an expressing involving the composition of a trigonometric and an inverse trigonometric function. 3.15 State the domain, range, and period for each of the six trigonometric functions. Verify these values using the graphing calculator. 3.16 Sketch the graphs of all six trigonometric functions. 3.17 Sketch the graphs of y = a f(bx + c) + d where f is a trigonometric function, and discuss amplitude, period, phase shift and vertical shift. 3.18 Given the graph of a trigonometric function, determine the amplitude, period, phase shift and vertical shift. Use that information to write the equation of the function. 3.19 Sketch the graphs of y = sin1x, y = cos1x, and y = tan1x. 4.1 Angles and Their Measures 4.2 Trigonometric Functions of Acute Angles 4.3 Trigonometry Extended: The Circular Functions 4.4 Graphs of Sine and Cosine: Sinusoids 4.5 Graphs of Tangent, Cotangent, Secant, and Cosecant 4.6 Graphs of Composite Trigonometric Functions 4.7 Inverse Trigonometric Functions 4.8 Solving Problems with Trigonometry Chapter 4 Review and Test Mar 31 Apr 25 (15 days) - CHAPTER 5: Analytic Trigonometry + Section 7.1 Objectives: 3.8 Use the Law of Sines and the Law of Cosines to determine parts of a triangle. 3.9 State and use the following identities: Negative angle identities, Cofunction identities, Reciprocal identities,Tangentcotangent identities, Pythagorean identities 3.10 Prove identities involving the trigonometric functions. 3.20 Solve equations involving trigonometric and inverse trigonometric functions. 2.14 Determine the point(s) of intersection for systems of non-linear functions algebraically and using the graphing calculator. 5.1 Fundamental Identities 5.2 Proving Trigonometric Identities 5.5 The Law of Sines 5.6 The Law of Cosines 7.1 Solving Systems of Two Equations Chapter 5 and 7.1 Review and Test Apr 28 May 22 (20 days) - CHAPTER 6: Applications of Trigonometry 6.1 Vectors in the Plane 6.2 Dot Product of Vectors 6.3 Parametric Equations and Motion 6.4 Polar Coordinates 6.5 Graphs of Polar Coordinates 6.6 DeMoivres Theorem and nth Roots May 27 June 6 (4 days) - Section 10.1-10.3 Limits June 9 June 16 (6 days) - Review for Final Exam RCSD Post Test Blueprint 20-Multiple Choice Questions 5-Open Ended Questions     Precalculus Pacing Guide 2013 -14 Page  PAGE 6 of  NUMPAGES 6  =JKLOPRSTUZ[bceghnqwx{}      Ŀĺ߀ h lh0 h lh h lh~v?h, h lhO h lh lh h,5 h,5 h l5 h75 h5 hQ5h hP56heheUh7h0 hr=56>*hr=hh4hh45hh4hr=52LTUy  K L Y  m R gdg 80^8`0gdg & Fgdgh`hgdggdO  + 6 J K L M Y ӻӬӠӠӗ{wsnni he5 h9J5hPhr= h5 hzC5 hLf85 hCG5h,hLf8hghgCJhghg6CJaJ jhghgCJH*aJhghgCJH*aJhghg5CJaJhghgCJaJh0 h0 5 h0 5 hr=5 hO5 h,5 h5) DEF678E`gd(!BCDEFR 468Eƽϣԙم h5 hH5 hB`5 h5 h75 he5heh n5 h}5hehe5 h n5h n hz%5 h5h'O= he5 h0 5 hP5 h'O=5 hSYw5 hzC5 h:5hPh: h9J52Eb_?@Az{|-.gdg 80^8`0gdgEvw '/0>@AOX]^dejxyz{|ѽ̹̰̰̰°̰°̧§̧̧§̧h*{ h*{5hR hR5hPhc> h(5 he5 hzC5 hO5 hc>5 h n5 hP5hghgCJhghg6CJaJhghgCJaJ@$+,-./;<KPWXYZ[fgw56yzŶhgCJaJhghg6CJaJhghgCJaJ h`-5 hC%5 hQ5 h 5 hw5 hly5 h75 hH5 h5 h5 hB`5 hP5 h$5 h5hPh*{ he5 h*{5 hO51./YZ[wxyz{|}~!C ^`gdg 80^8`0gdg%*+,-.2@ACUVWX{|봰𫣫ܖ hz5 h75 hB`5 hH5hWhi5hehi5 hi5hE h$w5hEhE5 hE5h`-hehe5 h z5 h 5 h`-5 h 5 he5 h5 h.5 hw5 hg53,-.WX{|   gd5gdigd.gdE  !"+6LMSTUb ~¾ԺԵ뵫릡{{{mm jphghgCJaJhghg5CJaJhghgCJaJ h5 hQ5 hpC>5 h 5 h~N5 hd5 hH!\5 hB`5hehWhWh 5 he5 h5h`-hE h`-5 hH5 h5 hi5 h.5 hz5 h~v?5*   TUb *Q ?!k!!5""d.^`gdg @d.^@gdg\d.^\`gdggd =>klpqtuz{*2Q U X !I!j!k!n!o!!!!4"5"9";"<"""""""R#^##ۿۿۿhkjCJaJhACJaJhghg6CJaJhghg5CJaJ jphghgCJaJhghgCJaJK""T#######*$+$,$_$`$a$$$$$$$$$$% %gd \d.^\`gdg @d.^@gdg##################$)$*$+$,$-$0$K$L$]$^$`$a$b$e$$$$$$$$$$$$$$$$$%% %!%+%I%J%K%L%W%X%b%c%f%g%ǾǾǹǾþǾǹǾ h~v5h%Eh%E5 h%E5 he5 hpC>5 h4<5hpC> h 5 hJ#5h hghg5CJaJhghgCJH*aJhghgCJaJhkjCJaJ? %!%J%K%L%g%h%%%%&&'V''''' (!(7(8(P(Q( d^gd{80d^8`0gdg\d.^\`gdggd4<g%h%o%r%x%z%|%%%%%%%%&&&'''U'V''''''''(( (!(5(6(8(9(<(@(A(N(O(P(Q(i(j(w(x(¶¶¦ž–׆}x͆} h55 h%E5h4< he5hgh5FACJaJh CJaJhACJaJhgCJaJhkjCJaJhghg5CJaJhghgCJaJ h5FA5 h~v5 h' 5 h\i5 h4<5 h#}5 hw5 hB`5 h{5 h&Tj5/Q(x(y((((((())))D)E)\)])~)))))))))gde80d^8`0gd{gdgd4<x(y(((((((((((((((())E)F)G)H)I)Z)])`)b)})~))))))))))))))))))))))ްޫޡޅް h5h\ih#}5 h- 5 h75 hA5 h J5 h\i5 h#}5 h%5 hw5 hB`5 h5hehghCJaJhCJaJhh5 h{5h\ih%E h4<5 he5 h5FA5 h552))** ***_*`*a*c*d*f*g*i*j*l**********************úÞ{hmR$ h/\0J5CJaJmHnHuh~vhmR$0J5CJaJ$jh~vhmR$0J5CJUaJhe5CJaJh75CJaJh~vhmR$5CJaJhnojhnoUh\ih/\5 h/\5 h"D5 h\i5h\ih5 h#}5%)****,*I*`*b*c*e*f*h*i*k*l*****6&P1h:p l/ =!"#$% ^ 2 0@P`p2( 0@P`p 0@P`p 0@P`p 0@P`p 0@P`p 0@P`p8XV~_HmH nH sH tH @`@ NormalCJ_HaJmH sH tH DA`D Default Paragraph FontRiR  Table Normal4 l4a (k (No List jj r= Table Grid7:V0PC@P gBody Text Indent80^8`0aJRR@R gBody Text Indent 2hdx^h4"4 ~vHeader  !4 @24 ~vFooter  !.)@A. ~v Page NumberH@RH mR$ Balloon TextCJOJQJ^JaJPK![Content_Types].xmlN0EH-J@%ǎǢ|ș$زULTB l,3;rØJB+$G]7O٭V$ !)O^rC$y@/yH*񄴽)޵߻UDb`}"qۋJחX^)I`nEp)liV[]1M<OP6r=zgbIguSebORD۫qu gZo~ٺlAplxpT0+[}`jzAV2Fi@qv֬5\|ʜ̭NleXdsjcs7f W+Ն7`g ȘJj|h(KD- dXiJ؇(x$( :;˹! 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