Mr. C s Math III Exam is Tue 1/14/14 in the Presentation Center please be there for 11:20 Check-In and Test Return. You may not leave early (sorry)

Transcription

1 Mr. C s Math III Exam is Tue 1/14/14 in the Presentation Center please be there for 11:20 Check-In and Test Return Make Sure You Bring: Your Tests to return Calculator w/ good batteries Pencils/Erasers Water bottle (if you want one) w/ safe cap (a must!) Your well-studied and well-rested brain Something to do afterwards (work or reading, no electronic devices) You may not leave early (sorry)

2 Ch 5 Suggested HW/Study Material Ch 5 will not be included in the Semester 1 Exam this year Ch 1 Quiz and Test 1-1: p7 #4 1-2: p13 #1-4, #19-28, #32 1-3: p20 #1-6, #7-12, # : p26 # : p33 #1-4, #5-16, # : p39 #1-4, #9, #10, # : p44 #R1, #R2, #R6

3 Ch 6 Suggested HW/Study Material (cont.) Quiz and Test 6-2: p229 #1-4, #5-12, #15 6-3: p233 #1-4, #5-7, #9, #13 6-4: p237 #1-8, # : p241 #1-8, # : p248 #1-3, #4, #7-10, #11-12, 6-7: p253 #1, 2, 8, 10, 16 Ch 2 Quiz and Test 2-2: p57 #1-20, #27-28, # : p63 #1-6, #7-14, #15-20, # : p69 #1-6, # Also, unit circle & 7-10, are all related. 2-5: p73 #1-4, #7, #9-11, #12-14 & : p78 #R1 & R5

4 Ch 3 Suggested HW/Study Material (cont.) Quiz and Test 3-2: p93 #1-4, #5-14, #15-18, #19-20, #21-24, #25 3-3: p98 #(1, 2, 5, 6), #7-8, #9-10, #11-14 (1st part) 3-4: p105 #2, #(3-10, 15-24), #(11-14, 25-30), #31-38, # : p109 #1-12, #25-32, #33-42, #45 [NOTE: except for 45, these are like prior section problems, but in radians] 3-6: p115 #1-4, #5-10, #11-12, #13 3-7: p119 #5-6, 8 Ch 4 Quiz and Test 4-2: p137 #1-10, # : p143 #1-26, #27-36, # : p149 #1-10, #13-14, #15-20, #23-26, #27-30 & 32-34, #31 4-5: p156 #3-6, #7-14 Lab II info as well 4-6: p164 #1-2, #3-4, #5-14, #15-16, #17-22

5 Sem. 1 Final Exam Possible Topics General Fractions, exponents ( powers ), GCF, factoring, quadratic eq n, Algebra Ch 5 Ch 5 not included in the Semester 1 Exam this year Ch 1 Functions vs. relations, f(x) notation Domain, range, dependent, independent Types of functions (power, exponential, ) Boolean variables & domain restrictions Dilation/Translation (horizontal & vertical) Function composition (multiple notations) & related domain/range Function inverses & related domain/range, def n of invertible Parametric equations, Inverses of parametric functions Reflections, Absolute Value functions, Even/Odd functions Discontinuity

6 Ch 6 Sem. 1 Final Exam Possible Topics (cont.) Geometry review: AAS, SAS, ASA, SSS, SSA (ambiguous), AA (similarity only) Geometry review: Basic right angle trig - SOHCAHTOA Law of Cosines - use, derivation, proof, solving problems with side or angle missing Area of a triangle - 3 formulae (.5bh,.5bcsinA, Hero) Law of Sines - use, derivation, proof, solving problems with side or angle missing Ambiguous Case - finding both cases, using Quadratic Eq n (also using LoS) Proofs - LoC, LoS, Area Formula (.5bcsinA) Vectors: def n, i, j, components, magnitude, direction, standard position, zero vector Vector Addition: graphical (head to tail), components, magnitude & angle, associative property for vector addition Bearing - definition, translating a bearing to a vector in standard position or vice versa

7 Ch 2 Sem. 1 Final Exam Possible Topics (cont.) Periodic functions, sinusoids, relationship between rotational functions (e.g. ferris wheel) and sinusoids Standard position (angles), reference angles, coterminal angles Period & x-dilation & B coefficient, sinusoidal axis & y-translation, phase displacement & x-translation, amplitude & y-dilation General equation of a sinusoid Algebraic definition of a periodic function Sine function, cosine function, graphs (u,v) and (x, y) Transformations of sinusoids SOHCAHTOA and values/calcs for all six trig functions, exact vs. approximate values, quotient rules, exact values by geometry (drawing the triangle) Inverse Trig Functions & their (limited) domains & the related ranges Real world trig and inverse trig functions Slant height, angle of elevation, angle of depression

8 Sem. 1 Final Exam Possible Topics (cont.) Ch 3 General sinusoidal equation converting graph to description to equation or vice versa Working from quarter cycle, half cycle, etc Concave up and concave down, points of inflection, asymptotes, upper bound, lower bound Period vs. frequency vs. B vs. x-dilation Translating phase displacement for different curves (+cos, -sin, etc ) Graphs for tan, cot, sec, csc Radian measures of angles, def n of radian and relationship to arc-length and circumference (why are their 2pi radians in a circle???), conversions of radians to degrees and vice versa Circular functions (use radians except when its an angle!) Inverse circular functions - ARCCOS Sinusoidal models (e.g. Bay of Fundy)

9 Sem. 1 Final Exam Possible Topics (cont.) Ch 4 Pythagorean Identity Properties, reciprocal properties, quotient properties Trigonometric identities, deriving/transforming identities, proving identities Arcsin, Arccos, Arctan - including their relationship to inverse functions Interval notation (closed and open intervals) Quadratic forms and solutions (related to trig specifically) Problems which cannot be solved algebraically Solving graphically (on calculator grapher) Parametric functions, ellipsoids & circles - from graphs, from descriptions, equations Cartesian equation for ellipsoids & circles and relationship to parametric form Lab 2 info Graphing inverse trig functions Domain and range of inver trig functions - principal branch Composing trig functions and inverse trig functions - solving graphically (by drawing right triangles)

10 Wed Jan 8, 2014 ACT Warm-up Announcements Schedule: Exam is Monday, all week Exam: Chapters 1-4 & 6 study guide posted online Mr. C s Open Lab Schedule Unit Circle Quiz there will be another Grades, what s not in yet: Math League, possible UC Quiz Class this week: Wed (Ch1, 6), Thu (Ch 2, 3), Fri (Ch 4, Proof, Trig ID) Tests available for signout after school today MUST be returned BEFORE exam AMC Test Tues Feb 4 (morning) Sign up this week w/ Mr. C Math III Agenda Ch 1 & 6 Review Math III Homework Due this week: problems per day Suggested: Ch 1 Mon, Ch 6 Tue, Ch 2 Wed, Ch 3 Thu, Ch 4 Fri + Trig IDs and Proofs included throughout Week 17

11 Mon & Tue Jan 6-7, 2014 Snow Days! Math III Agenda Math III Homework Due this week: problems per day Suggested: Ch 1 Mon, Ch 6 Tue, Ch 2 Wed, Ch 3 Thu, Ch 4 Fri + Trig IDs and Proofs included throughout Week 17