Home | Pike County Board of Education | Pike County High School
Day | Page | Objectives |
1 | 10 | Determine domain & range; Evaluate functions; Determine restrictions on domain. |
2 | 17 | Perform operation on functions; Find composite functions. |
24 | Graph linear equations; Find the zeros of linear functions. | |
3 | 30 | Write equations for lines given points and/or slopes. |
36 | Determine if lines are parallel or perpendicular; Write equations for parallel or perpendicular lines. | |
4 | 49 | Graph piecewise defined functions. |
5 | Test 01 | Determine domain & range (1.1); Evaluate a function for a given value (1.1); Determine the domain of an equation (1.1); Add, subtract, multiply, and/or divide functions (1.2); Find the composition of functions (1.2); Graph linear equations (1.3); Write the equation of a line (1.4); Write the equation of a line parallel or perpendicular to a given line (1.5); Graph absolute value and piecewise functions (1.7) |
6 | 134 | Determine symmetry of functions |
7 | 143 | Identify transformations of graphs; Use transformations to graph functions. |
8 | 156 | Determine the inverse of a function; Graph functions and their inverses. |
9 | 166 | Determine continuity of a function at a point; Determine continuity of a function; Determine end behavior of a function. |
10 | Test 02 | Determine the symmetries of a function (3.1); given a partial graph and its symmetry relation, complete the graph (3.1); Given an equation, describe its transformation in relation to its parent graph (3.2); Graph a function given its parent graph (3.2); Find the inverse of a function and determine if the inverse if a function (3.4); Graph a function and its inverse on the same set of axes (3.4); Determine if a function is continuous at a point (3.5); Determine the end behavior of a function (3.5); Determine the interval(s) for which a function is increasing and decreasing (3.5) |
11 | 947 | Determine limits of functions at specified values. |
781 | Determine limits of functions as x approaches ± infinity. | |
12 | Find the derivatives of functions using the definition of the derivative. | |
13 | 958 | Use derivative rules to find the derivative. |
14 | Determine relative minimum and maximum values of polynomial functions; Determine inflection points; Graph polynomial functions. | |
15 | Test 03 | Determine limits as n approaches a constant, and as n approaches ± infinity (Worksheet, 12.3); Find the derivative of a function using the definition (Worksheet); Find the derivative of a function using derivative rules (15.2); Find local minimum and maximum values of a function (Worksheet); Find inflection points of a function (Worksheet); Graph a function using its extrema (Worksheet) |
16 | 186 | Determine asymptotes of functions; Graph rational functions. |
17 | 210 | Determine the number of complex roots (Fundamental Theorem of Algebra); Given the roots, write a polynomial of least degree. |
18 | 219 | Solve quadratic equations by completing the square and quadratic formula; Discuss the nature of the roots of polynomial functions. |
19 | 226 | Determine if a binomial is a factor of a polynomial; Use the Remainder & Factor Theorems to find roots of polynomials. |
20 | Test 04 | Determine all horizontal, vertical and/or oblique asymptotes for a rational function (3.7); Determine if a rational function has a hole (3.7); Graph rational functions (3.7); Write a polynomial equation of least degree given its roots (4.1); Solve a quadratic equation by completing the square, and by using the quadratic formula (4.2); Use the discriminant to discuss the nature of the roots of a quadratic equation (4.2); Use the Factor and/or Remainder Theorems to determine the binomial factors of a polynomial (4.2) |
21 | 233 | Determine possible rational roots of a polynomial (Rational Roots Theorem); Determine the maximum number of real positive and real negative roots of a polynomial (Descartes' Rule of Signs). |
22 | 240 | Approximate the location of the real roots of a polynomial function; Determine the upper and lower bounds for the real roots of a polynomial. |
23 | 247 | Solve rational equations and inequalities; Complete partial fraction decompositions. |
24 | 255 | Solve radical equations and inequalities. |
25 | Test 05 | List all possible rational roots of a polynomial equation, then determine which ones are actual roots (4.4); Determine the number of possible positive real and negative real roots of a polynomial equation (4.4); Determine between which consecutive integers the roots of a polynomial are located (4.5); approximate the zeros of a function to the nearest hundredth (4.5); Determine the least upper bound and the greatest lower bound for the roots of a polynomial function (4.5); Solve rational equations (4.6); Solve radical equations and inequalities (4.7). |
26 | 700 | Simplify numerical & algebraic expressions involving exponents (use the rules of exponents). |
27 | 708 | Graph exponential functions. |
28 | 714 | Solve problems involving e. |
29 | 723 | Convert between logarithmic & exponential form; Evaluate logarithmic expressions; Solve logarithmic equations. |
30 | Test 06 | Simplify numerical and variable expressions involving exponents (11.1); Convert between radical & exponential notation (11.1); Solve equations involving exponents (11.1);; Graph exponential functions (11.2); Solve problems involving exponential functions (11.2); Convert between exponential & logarithmic form (11.4); Solve equations involving logarithms (11.4); Graph logarithmic functions (11.4). |
31 | 730 | Use properties of logarithms to evaluate logarithmic expressions; Use the change of base formula; Solve logarithmic & exponential equations;Graph logarithmic equations. |
32 | 736 | Convert between logarithmic & exponential form; Solve logarithmic & exponential equations. |
33 | 281 | Convert between decimal degree and degree minute second notation; Find coterminal angles; Determine reference angles. |
34 | 288 | Use trigonometry to determine the measure of the angles of right triangles. |
296 | Use trigonometry on the unit circle. | |
35 | Test 07 | Evaluate logarithms using the change of base formula (11.5 & 11.6); Solve exponential and/or logarithmic equations (11.5 & 11.6); Convert between decimal degrees and degree minute second notation (5.1); Find the measure of the reference angle (5.1); given 2 sides of a right triangle, find all 6 trigonometric values for one of its acute angles (5.2); Given the measure of a central angle on the unit circle, find the values of all 6 trigonometric functions (5.2); Given an ordered pair that lies on the terminal side of a central angle, find the values of all 6 trigonometric functions (5.2); Given one trigonometric value and the quadrant the terminal side of the angle lies in, find the values of the remaining 5 trigonometric functions (5.2). |
36 | 348 | Convert between radian and degree measure; Find arc length; Find the area of a sector. |
37 | 364 | Use the graphs of sine and cosine. |
38 | 373 | Determine amplitude and period for sine & cosine; Graph sine & cosine functions. |
39 | 383 | Determine the phase shift for sine & cosine; Graph sine & cosine functions. |
40 | Test 08 | Convert between degree and radian measure (6.1); Use the arc length formula(6.1); Use the area of a sector formula (6.1); Identify the period, amplitude, and phase shift of the graph of a trigonometric function (6.4 & 6.5); Graph trigonometric functions (6.4 & 6.5). |
41 | 400A | Graph tangent & cotangent. |
42 | 400B | Graph secant & cosecant. |
43 | 410 | Determine the inverse of trigonometric functions; Graph trigonometric functions & their graphs. |
44 | 427A | Identify & use basic trigonometric identities. |
45 | Test 09 | Identify the period, amplitude, and phase shift of the graph of a trigonometric function (6.4, 6.5, 6.7); Graph trigonometric functions (6.4, 6.5, 6.7); Graph trigonometric functions and their inverses (6.8); Simplify trigonometric expressions (7.1). |
46 | 427B | Verify trigonometric identities. |
47 | 434 | Verify trigonometric identities. |
48 | 442 | Use sum & difference identities to evaluate trigonometric functions. |
49 | 454 | Use double & half angle identities to evaluate trigonometric functions. |
50 | Test 10 | Given the value of a trigonometric function and a quadrant, find the exact value of another trigonometric function (7.1); Express a trigonometric function as a related function in the first quadrant (7.1); Verify trigonometric identities (7.2); Use the sum and/or difference identities to find the exact value of a trigonometric function (7.3); find the exact value of sine, cosine, and/or tangent, given the values of sine and/or cosine (7.3); Use the double and/or half angle formulas to find the exact value of a trigonometric function (7.4); Given the value of sin x, cos x, or tan x, find the exact value of sin 2x, COs 2x, tan 2x, sin (1/2x), COs (1/2x), and/or tan(1/2x) (7.4). |
51 | 459 | Solve trigonometric equations. |
52 | 491 | Determine the magnitude and direction of vectors; Add & subtract vectors; Find equal, opposite & parallel vectors. |
53 | 497 | Add, subtract, & multiply vectors; Find the magnitude of resultants; Find ordered pairs that represent vectors. |
54 | 509 | Determine if two vectors are perpendicular. |
55 | Test 11 | Solve trigonometric equations for the principal solution or over a specified interval (7.5); Determine the magnitude and direction of a vector (8.1); Find the magnitude and direction of the resultant when adding, subtracting and/or multiplying two vectors (8.1); Given vectors a and b, find the ordered pair that represents vector ab, and the magnitude of vector ab (8.2); Find the ordered pair that represents the sum, difference and/or scalar product of two vectors (8.2); Find the magnitude of a vector and write the vector as the sum of unit vectors (8.2); Find the inner product of two vectors and determine if the vectors are perpendicular (8.4); Solve problems representing applications of vectors (8.5). |
56 | 524 | Convert between parametric equations & linear equations; Write the vector equation parallel to a given line. |
57 | 531 | Solve motion problems using parametric equations. |
58 | 558 | Graph points in polar coordinates; Graph polar equations; Find the distance between two points. |
59 | 565 | Graph polar equations; Write polar equations that meet specified conditions. |
60 | Test 12 | Solve problems representing applications of vectors (8.5, 8.7); Write the vector equation of a line passing through a given point parallel to a given vector (8.6); Convert between parametric equations for a line and slope-intercept form (8.6); Graph points given in polar form (9.1); Find the distance between two points given in polar form (9.1); Graph polar equations (9.2). |
61 | 572 | Convert between polar & rectangular coordinates; Convert equations between polar & rectangular form. |
62 | 467 | Convert equations between linear & normal form; Find the length & angle of the normal from the origin. |
63 | 475 | Find the distance from a point to a line; Find the distance between two parallel lines; Write equations of lines that bisect angles. |
64 | 578 | Convert equations between polar & rectangular form. |
65 | Test 13 | Convert points & equations between polar & rectangular form (9.3); Write the standard form of an equation given the length of the normal segment & the angle the normal segment makes with the positive x-axis (7.6); Write a standard form equation in normal form & find the length of the normal & the measure of the angle it makes with the positive x-axis (7.6); Find the distance between a point and a line (7.7); Find the distance between two parallel lines (7.7); Convert equations between rectangular and polar form (9.4); Graph polar equations (9.4). |
66 | 583 | Simplify expressions involving complex numbers. |
67 | 590 | Solve equations involving complex numbers; Convert numbers between complex & polar form. |
68 | 620 |
Find distance & midpoint; Prove statements using coordinate proofs. |
69 | 627 | Write equations form and graph circles. |
70 | Test 14 | Simplify expressions containing complex numbers (9.5); Solve equations involving complex numbers (9.6); Graph complex numbers and find their absolute value (9.6); Write complex numbers in polar form (9.6); Find the length and midpoint of a segment, given its endpoints (10.1); Prove statements using coordinate proofs (10.1); Convert between general and standard forms for the equations of circles (10.2); Graph circles (10.2); Given a graph, write the equation for a circle (10.2). |
71 | 638 | Write equations for and graph ellipses. |
72 | 650 | Write equations for and graph hyperbolas. |
73 | 659 | Write equations for and graph parabolas. |
74 | 667 | Graph conic sections; Convert equations for conic sections between rectangular & polar form. |
75 | Test 15 | Convert between general & standard forms for the equations of ellipses (10.3); and hyperbolas (10.4); Graph ellipses (10.3); and hyperbolas (10.4); Given a graph, write the equation for an ellipse (10.3); and a hyperbola (10.4); Determine if an equation's graph is a circle, parabola, ellipse, or hyperbola, then graph it (10.5); Rewrite a general form equation into standard form, then identify the conic section and graph it (10.6). |
76 | 763 | Determine the next terms of arithmetic sequences; Find the sum of arithmetic sequences. |
77 | 771 | Determine the next terms of geometric sequences; Find the sum of geometric sequences. |
78 | 781 | Write repeating decimals as fractions; Determine if the sum of an infinite series converges or diverges. |
79 | 791 | Determine if an infinite series converges or diverges. |
80 | Test 16 | Find the common difference and the next several terms in an arithmetic sequence (12.1); Find the specified term of an arithmetic sequence (12.1); Find the sum of an arithmetic sequence (12.1); Find the common ratio and the next several terms of a geometric sequence (12.2); Given the common ratio and a term in a geometric sequence, find the first term (12.2); Determine if the sum of a series exists, and if it does, find the sum (12.3); Use the ratio and/or comparison test to determine if a series is convergent or divergent (12.4). |
81 | 798 | Use sigma notation; Expand a binomial; Write a series using sigma notation. |
82 | 804 | Use Pascal's triangle & the Binomial Theorem to expand a binomial. |
83 | 812 | Use the exponential & trigonometric series & Euler's Formula to estimate values for e, the natural logarithm, and trigonometric functions. |
84 | Test 17 | Write an expression in expanded form and then find its sum (12.5); Write a series using sigma notation (12.5); Use Pascal's triangle to expand a binomial (12.6); Use the Binomial Theorem to expand a binomial (12.6); Find the specified term for a binomial expansion (12.6); Use the exponential series to find an approximation for e to a power or the natural logarithm of a number (12.7); Use the trigonometric series to approximate sine or cosine (12.7); Use Euler's formula to write a complex number in exponential form (12.7) |
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