Mr. Hall's
Precalculus Assignments
(Subject to Change! Check with Mr. Hall!)
| No. | Pages | Sect. | Problems | |
| 1 | Have Parent Sign Syllabus | |||
| What is this class all about? | ||||
| What is the difference between a relation and a function? (1-1) | ||||
| How do you find the domain and range of any relation? (1-1) | ||||
| 2-6 | 10 | 1-1 | 20-25 | |
| 3-12 | 10 | 1-1 | 26-37 | |
| 4-9 | 10-11 | 1-1 | 38-46 | |
| What operations can be performed with functions? (1-2) | ||||
| How do you find composite functions? (1-2) | ||||
| How do you find and recognize iterate functions? (1-2) | ||||
| 5-10 | 17-18 | 1-2 | 11-20 | |
| 6-7 | 18 | 1-2 | 21-27 | |
| How do you find zeros of linear functions? (1-3) | ||||
| How do you graph linear equations? (1-3) | ||||
| What is the slope-intercept form of linear equations? (1-3) | ||||
| 7-12 | 24 | 1-3 | 12-23 | |
| 8-8 | 24 | 1-3 | 24-31 | |
| How do you write linear equations? (1-4) | ||||
| How do you find the slope of a line through two points? (1-4) | ||||
| What is the point-slope form of linear equations? (1-4) | ||||
| How do you use slopes, intercepts, and points to write equations? (1-4) | ||||
| 9-12 | 30 | 1-4 | 11-22 | |
| How do you write equations of parallel and perpendicular lines? (1-5) | ||||
| How do you use analytic geometry to solve parallel and perpendicular line problems? (1-5) | ||||
| 10-9 | 36 | 1-5 | 12-20 | |
| 11-9 | 36 | 1-5 | 21-29 | |
| How do you identify and graph "piecewise functions"? (1-7) | ||||
| How do you identify and graph greatest integer functions? (1-7) | ||||
| How do you identify and graph step functions? (1-7) | ||||
| How do you identify and graph absolute value functions? (1-7) | ||||
| 12-12 | 49 | 1-7 | 11-22 | |
| How do you graph linear inequalities? (1-8) | ||||
| 13-12 | 55 | 1-8 | 9-20 | |
| 14-6 | A27 | 1-8 | 1-6 | |
| opt | 59 | 1-5 | 47-52 | |
| opt | 60 | 1-7,8 | 54-66 | |
| How do you graph linear equations with graphing calculators? (2-1a) | ||||
| How do you solve systems of equations graphically? (2-1) | ||||
| What are the types of systems of equations? (2-1) | ||||
| How do you solve systems of equations algebraically? (2-1) | ||||
| 15-9 | 71 | 2-1 | 11-19 | |
| 16-10 | 71 | 2-1 | 21-30 | |
| How do you add, subtract, multiply, and divide matrices? (2-3) | ||||
| 17-10 | 83 | 2-3 | 15-24 | |
| 18-20 | 83 | 2-3 | 27-46 | |
| How do you evaluate determinates of matrices? (2-5) | ||||
| How do you find inverses of matrices? (2-5) | ||||
| How do you solve systems of equations using matrices? (2-5) | ||||
| 19-12 | 102 | 2-5 | 14-25 | |
| 20-15 | 103 | 2-5 | 27-41 | |
| How do you solve systems of inequalities? (2-6) | ||||
| How do you find maxima and minima of functions? (2-6) | ||||
| 21-7 | 110 | 2-6 | 9-15 | |
| 22-7 | 110 | 2-6 | 16-22 | |
| 23-3 | 116 | 2-7 | 9-11 | |
| 24-9 | 120 | review | 11-27 (odds) | |
| 25-8 | 121-22 | review | 35-49 (odds) | |
| 25a-8 | 120 | review | 12-26 (evens) | |
| 25b-8 | 121-22 | review | 36-50 (evens) | |
| Test: Chapter 2:1-7 | ||||
| How do you graph polynomial functions with calculators? (3-1) | ||||
| 26-10 | 105 | 3-1a | 1-10 | |
| How do you identify point and line symmetry? (3-1) | ||||
| How do you use symmetry properties to complete graphs? (3-1) | ||||
| What is the difference between odd and even functions? (3-1) | ||||
| 27-10 | 134 | 3-1 | 14-23 | |
| 28-10 | 134-35 | 3-1 | 24-33 | |
| What is a "parent" graph? (3-2) | ||||
| How do you use parent graphs and linear transformations to sketch graphs? (3-2) | ||||
| How do you use parent graphs and dilations to sketch graphs? (3-2) | ||||
| 29-13 | 143 | 3-2 | 13-25 | |
| How do you graph polynomial inequalities in two variables? (3-3) | ||||
| How do you graph absolute valute inequalities in two variables? (3-3) | ||||
| How do you graph radical inequalities in two variables? (3-3) | ||||
| How do you solve absolute value inequalities in two variables? (3-3) | ||||
| 29a-19 | 150 | 3-3 | 17-37 | |
| How do you determine the inverse of a relation or function? (3-4) | ||||
| How do you use reflections to graph inverses of functions and relations? (3-4) | ||||
| 30-19 | 156 | 3-4 | 15-33 | |
| What is a discontinuous function? (3-5) | ||||
| How can you identify end behavior of functions? (3-5) | ||||
| How do you use calculators to graph discontinuous functions? (3-5) | ||||
| How do you determine if a function is increasing or decreasing over a given interval? (3-5) | ||||
| 31-18 | 166 | 3-5 | 12-29 | |
| opt | A30-31 | 3:1-5 | all | |
| Test: Chapter 3:1-5 | ||||
| How do you find the derivative of a function? (3-6) | ||||
| How do you find the slope of a tangent line to a function? (3-6) | ||||
| 31a-15 | 958 | 15-2 | 14-28 | |
| How do you use a graphing calculator to find a relative minimum? (3-6) | ||||
| How do you use a graphing calculator to find a relative maximum? (3-6) | ||||
| How do you use derivatives to find a point of inflection? (3-6) | ||||
| 32-10 | 177 | 3-6 | 13-22 | |
| 33-11 | 177 | 3-6 | 23-33 | |
| What are asymptotes? (3-7) | ||||
| How do you find vertical asymptotes? (3-7) | ||||
| How do you find horizontal asymptotes? (3-7) | ||||
| How do you find slant asymptotes? (3-7) | ||||
| How do you graph rational functions? (3-7) | ||||
| 34-10 | 186 | 3-7 | 14-23 | |
| 35-10 | 187 | 3-7 | 24-33 | |
| 36-7 | 187 | 3-7 | 34-40 | |
| How do you solve problems involving direct variation? (3-8) | ||||
| How do you solve problems involving inverse variation? (3-8) | ||||
| How do you solve problems involving joint variation? (3-8) | ||||
| 37-12 | 194 | 3-8 | 13-24 | |
| 37a-9 | 194 | 3-8 | 25-33 | |
| How do you find all the complex roots of a polynomial function? (4-1) | ||||
| What are the zeros of a polynomial function? (4-1) | ||||
| How do you use the fundamental theorem of algebra and its corollary? (4-1) | ||||
| 38-14 | 210 | 4-1 | 15-28 | |
| 39-16 | 210-11 | 4-1 | 32-47 | |
| How do you "complete the square" to solve quadratic equations? (4-2) | ||||
| How do you use the discriminant to describe roots of quadratic equations? (4-2) | ||||
| How do you graph quadratic equations? (4-2) | ||||
| How do you graph quadratic inequalities? (4-2) | ||||
| How do you derive the quadratic formula? (4-2) | ||||
| 40-11 | 219 | 4-2 | 12-23 | |
| 41-10 | 219-20 | 4-2 | 24-33 | |
| How do you use the remainder and factor theorems to find factors of polynomials? (4-3) | ||||
| How do you divide polynomials using synthetic division? (4-3) | ||||
| How can you tell when a polynomial is depressed? (4-3) | ||||
| (When it's frowning) | ||||
| 42-12 | 226 | 4-3 | 14-25 | |
| 43-9 | 227 | 4-3 | 26-34 | |
| How do you find all possible rational zeros of polynomial functions? (4-4) | ||||
| 44-11 | 234 | 4-4 | 10-20 | |
| How do you use graphing calculators to locate zeros of polynomial functions? (4-5) | ||||
| How do you graph polynomial functions? (4-5) | ||||
| 45-7 | 240 | 4-5 | 12-18 | |
| 46-13 | 240-41 | 4-5 | 19-31 | |
| opt | 268 | review | 11-25 | |
| opt | 269 | review | 26-43 | |
| TEST 4:1-5 | ||||
| How do you find the LCD of rational expressions? (4-6) | ||||
| How do you solve rational equations? (4-6) | ||||
| How do you solve rational inequalities? (4-6) | ||||
| How do you decompose rational expressions into partial fractions? (4-6) | ||||
| 48-8 | 247 | 4-6 | 12-19 | |
| 49-9 | 247-48 | 4-6 | 20-26 | |
| How do you solve radical equations? (4-7) | ||||
| How do you solve radical inequalities? (4-7) | ||||
| 50-10 | 255 | 4-7 | 12-21 | |
| 51-8 | 255 | 4-7 | 22-28 | |
| opt | 270 | review | 44-46 | |
| opt | 270 | review | 49-51 | |
| How do you work with the properties of exponents? (11-1) | ||||
| How do you simplify expressions with rational exponents? (11-1) | ||||
| 01-12 | 700 | 11-1 | 20-31 | |
| 02-16 | 700-01 | 11-1 | 32-47 | |
| 03-13 | 701 | 11-1 | 48-60 | |
| How do you evaluate expressions with irrational exponents? (11-2) | ||||
| How do you graph exponential functions? (11-2) | ||||
| How do you graph exponential inequalities? (11-2) | ||||
| 04-9 | 708 | 11-2 | 10-18 | |
| 05-6 | 708-09 | 11-2 | 19-22 | |
| How do you evaluate expressions involving logarithms? (11-4) | ||||
| How do you solve equations with logarithms?(11-4) | ||||
| How do you graph logarithmic functions? (11-4) | ||||
| How do you graph logarithmic inequalities? (11-4) | ||||
| 06-12 | 723 | 11-4 | 20-31 | |
| 07-11 | 723 | 11-4 | 32-42 | |
| 08-10 | 723 | 11-4 | 43-52 | |
| How do you use calculators to graph exponential equations? (11-6a) | ||||
| How do you find common logarithms? (11-5) | ||||
| How do you find common antilogarithms? (11-5) | ||||
| How do you solve equations using common logarithms? (11-5) | ||||
| 09-09 | 730 | 11-5 | 19-27 | |
| 10-18 | 730-31 | 11-5 | 28-45 | |
| What are natural logarithms? (11-6) | ||||
| How do you calculate natural logarithms? (11-6) | ||||
| How do you solve equations using natural logarithms? (11-6) | ||||
| 11-12 | 736 | 11-6 | 18-29 | |
| 12-10 | 736 | 11-6 | 30-39 | |
| 13-15 | A47 | 11-4 | 1-15 | |
| 14-14 opt | 750 | review | 11-24 | |
| 15-12 opt | 751 | review | 31-53 odd | |
| 16-7 opt | 752 | review | 60-67 | |
| TEST: Exponents and Logarithms (11:1-6) | ||||
| How do you change radian measurements to degrees, minutes, and seconds? (5-1) | ||||
| How do you identify coterminal angles? (5-1) | ||||
| What is the significance of reference angles? (5-1) | ||||
| How do you characterize an angle in standard position on the Cartesian coordinate plane? (5-1) | ||||
| How do you find the reference angle for any given angle in standard position? (5-1) | ||||
| 17-12 | 280-81 | 5-1 | 5-16 | |
| 18-12 | 281 | 5-1 | 18-29 | |
| 19-13 | 281 | 5-1 | 30-42 | |
| 20-13 | 281-82 | 5-1 | 45-57 | |
| What are the six trigometric functions? (5-2) | ||||
| How do you find values of trig functions for right triangles? (5-2) | ||||
| 21-9 | 288 | 5-2 | 5-13 | |
| 22-11 | 288 | 5-2 | 14-24 | |
| What is a central angle? (5-3) | ||||
| What are circular functions? (5-3) | ||||
| How are the six trigonometric functions defined in terms of a unit circle? (5-3) | ||||
| How do you evaluate the six trig functions for angles in standard position? (5-3) | ||||
| 23-8 | 296 | 5-3 | 5-12 | |
| 24-14 | 296 | 5-3 | 14-27 | |
| 25-12 | 297 | 5-3 | 28-39 | |
| How do you use trigonometry to find the sides of right triangles? (5-4) | ||||
| 26-10 | 302 | 5-4 | 10-19 | |
| What are some special angles on which trig problems are frequently based? (5-5) | ||||
| How do you find exact trig function values for these special angles? (5-5) | ||||
| How do you find decimal approximations of values of trig functions? (5-5) | ||||
| How do you evaluate inverse Trig functions? (5-5) | ||||
| How do you completely solve right triangles? (5-5) | ||||
| 27-9 | 309 | 5-5 | 5-13 | |
| 28-13 | 309 | 5-5 | 15-27 | |
| 29-14 | 310 | 5-5 | 28-41 | |
| Test 5:1-5 | ||||
| What is the Law of Sines? (5-6) | ||||
| How is the law of sines derived from a circumscribed triangle? (5-6) | ||||
| How do you solve general triangle problems using the law of sines? (5-6) | ||||
| Why does the law of sines sometimes give ambiguous solutions? (5-6) | ||||
| 30-3 | 316 | 5-6 | 5-7 | |
| 31-8 | 316 | 5-6 | 11-18 | |
| What is the Law of Cosines? (5-7) | ||||
| How is the law of cosines derived from the pythagorean theorem? (5-7) | ||||
| How do you solve general triangle problems using the law of cosines? (5-7) | ||||
| 32-11 | 330 | 5-8 | 5-7,11-18 | |
| How do you change radians to degrees and degrees to radians? (6-1) | ||||
| How do you find the length of an arc given its central angle? (6-1) | ||||
| How do you find the area of a sector of a circle? (6-1) | ||||
| 33-12 | 348 | 6-1 | 16-27 | |
| 34-12 | 348-49 | 6-1 | 28-39 | |
| 35-15 | 349 | 6-1 | 40-51 | |
| What is angular velocity? (6-2) | ||||
| How do you use central angles to calculate angular velocity? (6-2) | ||||
| 36-14 | 355 | 6-2 | 13-26 | |
| 37-12 | 356 | 6-2 | 27-35 | |
| Test: 5:6-8; 6:1-2 | ||||
| What is a periodic function? (6-3) | ||||
| How do you calculate the period of a periodic function? (6-3) | ||||
| How do you graph sine and cosine periodic functions? (6-3) | ||||
| 38-14 | 363 | 6-3 | 13-26 | |
| 39-11 | 364 | 6-3 | 27-39 | |
| How do you find the amplitude of sine and cosine functions? (6-4) | ||||
| How do you find the period of sine and cosine functions? (6-4) | ||||
| How do you find the frequency of sine and cosine functions? (6-4) | ||||
| 40-18 | 373 | 6-4 | 17-34 | |
| 41-13 | 374 | 6-4 | 36-44,49-52 | |
| How do you find the phase shift of sine and cosine functions? (6-5) | ||||
| How do you find the vertical translation of sine and cosine functions? (6-5) | ||||
| How do you write an equation of a trigonometric function, given the amplitude, period, vertical translation, and phase shift? (6-5) | ||||
| How do you graph compound trigonometric functions? (6-5) | ||||
| 42-13 | 383-84 | 6-5 | 8-20 | |
| 43-10 | 384 | 6-5 | 21-30 | |
| 44-8 | 384-85 | 6-5 | 31-38 | |
| How do trig functions relate to real world problems involving harmonic motion? (6-6) | ||||
| What is the relation between frequency and period of harmonic motion functions? (6-6) | ||||
| 45-13 | 391 | 6-6 | 7-9 | |
| How do you graph tangent, cotangent, secant, and cosecant functions? (6-7) | ||||
| How do you write equations for tangent and cotangent functions? (6-7) | ||||
| How do you write equations for secant and cosecant functions? (6-7) | ||||
| 46-8 | 400 | 6-7 | 4-11 | |
| 47-14 | 400-401 | 6-7 | 13-26 | |
| 48-13 | 401 | 6-7 | 27-40 | |
| What are inverse trigonometric functions? (6-8) | ||||
| How do you evaluate inverse Trig functions? (6-8) | ||||
| How do you graph inverse Trig functions? (6-8) | ||||
| What are "principal values" of inverse trig functions? (6-8) | ||||
| How do you evaluate the principal values of inverse trig functions? (6-8) | ||||
| How do you determine the domain and range of various trig and inverse trig relations and functions? (6-8) | ||||
| 49-5 | 410 | 6-8 | 6-10 | |
| 50-7 | 410 | 6-8 | 14-20 | |
| 51-10 | 411 | 6-8 | 22-31 | |
| Test: 6:3-8 | ||||