Unit 1 - Sequences and SeriesDay 1 13-1 Arithmetic and Geometric Sequences Assignment: pg. 476, #’s 1, 5, 13, 17, 21, 25, 29, 33, 37, 47, 49, 53, 55, 59, 61Day 2 13-2 Recursive Definitions Assignment: pg. 481, #’s 1, 5, 9-21 odd, 22Day 3 13-3 Arithmetic and Geometric Series and Their SumsAssignment: pg. 482, #’s 25, 28, 31, 33 andpg. 489, #’s 1, 3, 7, 9, 11, 13, 17, 27, 29, 31 Day 4 13-4 Limits of Infinite SequencesAssignment: pg. 490, #’s 33, 37, 40, 42, 43 andpg. 496 #’s 1-33 odd (SKIP #'s 7, 17, 23, 25, 27)Day 5 13-5 Sums of Infinite SeriesAssignment: pg. 502, #’s 3, 9, 11, 17, 21, 29, 33, and 35 Day 6 13-6 Sigma NotationAssignment: pg. 508, #’s 1 – 37 odd (SKIP #'s 15, 19, 21)Day 7 13-7 Mathematical InductionAssignment: pg. 513, #’s 1-11 odd Day 8 More Mathematical InductionAssignment: pg. 513, #’s 16, 19, 21, & 25 Day 9 ReviewDay 10 Test Chapter 13 (800-point assessment)(Chapter 13 HW Assignments are due) 1-1 Points and LinesUnit 2 - Linear and Quadratic Functions Day 11 Assignment: pg. 5, #'s 10, 11, 17, 20, 21, 25, 27 1-2 Slopes of Lines Assignment: pg. 11, #'s 13 – 27 odd Day 12 1-3 Find Equations of LinesAssignment: pg. 16, #'s 1 – 19 odd, 21 – 23 (#24 extra credit due day of the test)1-4 Linear Functions and Models (linear regressions)Assignment: pg. 22, #'s 1 – 23 odd Day 13 1-5 The Complex NumbersAssignment: pg. 28, #'s 1-45 odd Day 14 1-6 Solving Quadratic EquationsAssignment: pg. 35, #'s 17 – 45 every other odd 1-7 Quadratic Functions and Their Graphs Assignment: pg. 41, #'s 3 – 33 multiples of 3, 35, 39 Day 15 1-8 Quadratic ModelsAssignment: pg. 45, #'s 1 – 17 odd Day 16 ReviewDay 17 Test Chapter 1 (500 point assessment) (Chapter 1 HW Assignments are due) Unit 3 - Polynomial FunctionsDay 18 2-1 PolynomialsAssignment: pg. 56, #'s 1-31 odd, 34, 35 Day 19 2-2 Synthetic Division, The Remainder and Factor TheoremsAssignment: pg. 61, #'s 1-25 odd Day 20 2-3 Graphing Polynomial FunctionsAssignment: pg. 66, #'s 1-39 every 3rd Day 21 2-4 Finding Maximums and Minimums of Polynomial FunctionsAssignment: pg. 71, #'s 1-13 odd; andpg. 72, #'s 1-9 odd Day 22 2-5 Using Technology to Approximate Roots of Polynomial EquationsIntermediate Value Theorem Assignment: pg. 78, #'s 1-17 odd Day 23 2-6 Solving Polynomial Equations by FactoringAssignment: pg. 83, #'s 1-21 odd, 29, 33, 35, 39 Day 24 2-7 General Results for Polynomial EquationsAssignment: pg. 89, #'s 1, 5, 9, 13, 17, 21- 29 odd Day 25 ReviewDay 26 Test Chapter 2 (700 point assessment)(Chapter 2 HW Assignments are due) Unit 4 - Inequalities, Properties of Functions Day 27 3-1 Linear & Absolute Value InequalitiesAssignment: pg. 98, #'s 1, 4, 7, 10, 13, 16, 19, 22, 25, 28, 33, 34 3-2 Polynomial Inequalities in One Variable Assignment: pg. 103, #'s 1 – 43 odd Day 28 4-1 FunctionsAssignment: pg. 122, #'s 1 – 17 odd, 22 Day 29 4-2 Operations on FunctionsAssignment: pg. 128, #'s 1 – 33 odd Day 30 4-3 Reflecting Graphs; SymmetryAssignment: pg. 136, #'s 1 – 41 odd Day 31 4-4 Periodic Functions; Stretching and Translating GraphsAssignment: pg. 143, #'s 1 - 8 Day 32 4-5 Inverse FunctionsAssignment: pg. 149, #'s 1 – 19 odd, andAssignment: pg. 144/, #'s 9 - 19 Day 33 4-6 Functions in Two VariablesAssignment: pg. 155, #'s 1 – 9 odd, 13 – 19 odd, andAssignment: pg. 150, #'s 21 – 31 Day 34 4-7 Forming Functions from Verbal DescriptionsAssignment: pg. 161, #'s 1 – 31 odd Day 35 Come up for AirDay 36 ReviewDay 37 Test Chapter 3 sections 1 & 2, Chapter 4 (800 point assessment) (Chapter 3 and 4 HW assignments are due) Unit 5 - Exponents and Logarithms Day 38 5-1 Growth & Decay: Integral ExponentsAssignment: pg. 173, #'s 1 – 45 odd, 46 – 49 Day 39 5-2 Growth & Decay: Rational ExponentsAssignment: pg. 178, #'s 1 – 57 odd Day 40 5-3 Exponential FunctionsAssignment: pg. 183, #'s 1 – 15 Day 41 5-4 The Number e and the FunctionAssignment: pg. 189, #'s 1 – 5 Day 42 Wake up and smell what’s cookingAssignment: pg. 184, #'s 17 – 29, andAssignment: pg. 189, #'s 7 – 23 odd, 22 Day 43 5-5 Logarithmic FunctionsAssignment: pg. 194, #'s 1 – 51 odd Day 44 5-6 Laws of LogarithmsAssignment: pg. 200, #'s 1 – 39 odd 5-7 Exponential Functions; Changing Bases Assignment: pg. 205, #'s 1 –23 odd Day 45 Whew!Assignment: pg. 202, #'s 41 – 51 odd, andAssignment: pg. 206, #'s 25 – 45 odd, 44 Day 46 ReviewDay 47 Test Chapter 5 (800 point assessment)(Chapter 5 HW assignments are due) Unit 6 - Analytic GeometryDay 48 6-1 Coordinate ProofsAssignment: pg. 218, #'s 1 – 13 odd Day 49 6-2 Equations of CirclesAssignment: pg. 219, #'s 14-18, andAssignment: pg. 222, #'s 1-35 odd Day 50 6-3 EllipsesAssignment: pg. 223, #'s 37-59 odd 48, andAssignment: pg. 228, #'s 1-23 odd Day 51 6-4 HyperbolasAssignment: pg. 229, #'s 25-37 odd, 38-42, andAssignment: pg. 235, #'s 1-23 odd, 24 Day 52 6-5 ParabolasAssignment: pg. 236, #'s 25-45 odd, 26 Day 53 6-6 Systems of Second-Degree EquationsAssignment: pg. 241, #'s 17-31 odd, 20, andAssignment: pg. 244, #'s 1-23 odd Day 54 6-7 A New Look at Conic SectionsAssignment: pg. 245, #'s 25-31 odd, and Assignment: pg. 250, #'s 1-21 odd Day 55 ReviewDay 56 Test Chapter 6 (700 point assessment)(Chapter 6 HW problems are due) Unit 7 - Trigonometric Functions Part 1 of 4Day 57 7-1 Measurement of AnglesAssignment: pg. 261, #'s 1-33 odd 7-2 Sectors of Circles Assignment: pg. 264, #'s 1, 5, 9, 13, 15 – 17, 21, 23, 25 Day 58 7-3 The Sine and Cosine FunctionsAssignment: pg. 273, #'s 1 – 23 odd Day 59 7-4 Evaluation and Graphing Sine and CosineAssignment: pg. 279, #'s 1 – 19 odd, andAssignment: pg. 273, #'s 29 - 43 Day 60 7-5 The Other Trigonometric FunctionsAssignment: pg. 285, #'s 3, 6, 11, 15, 17, 20, 21 – 27 odd, andAssignment: pg. 279, #'s 21 – 33 odd, 34 Day 61 7-6 The Inverse Trigonometric FunctionsAssignment: pg.289, #'s 1 – 21 odd, 22 - 30 Day 62 Review for TestDay 63 Test Chapter 7 (600 point assessment)(Chapter 7 HW assignments are now due) Unit 7 - Trigonometric Functions Part 2 of 4Day 64 8-1 Simple Trigonometric EquationsAssignment: pg. 299, #'s 1 – 29 odd Day 65 8-2 Sine and Cosine CurvesAssignment: pg. 305, #'s 1, 5, 9, 11, 15, 17, 19, 23, andAssignment: pg. 300, #'s 31 – 36, 45 Day 66 8-3 Modeling Periodic BehaviorAssignment: pg. 313, #'s 1 – 15 odd, andAssignment: pg. 306, #'s 25, 27, 29 - 36 Day 67 8-4 Relationships Among the FunctionsAssignment: pg. 321, #'s 1 – 23 odd, andAssignment: pg. 314, #'s 17, 19, 21, 24 - 26 Day 68 8-5 Solving More Difficult Trigonometric EquationsAssignment: pg. 326, #'s 1 – 33 odd, andAssignment: pg. 321, #'s 28 – 39, 42 Day 69 ReviewDay 70 Test Chapter 8 (500 point assessment)(Chapter 8 HW assignments now due) Unit 7 - Trigonometric Functions Part 3 of 4 Day 71 9-1 Solving Right TrianglesAssignment: pp 334/1, 7, 13 – 25 odd 9-2 The Area of a Triangle Assignment: pp 342/1, 7, 9, 15, 19, 31, 33. 35 Day 72 9-3 The Law of SinesAssignment: pp 347/3, 7, 11, 15, 19, 21 – 25, andAssignment: pp 337/31, 33, 35, 37, 40 Day 73 9-3 The Law of CosinesAssignment: pp 352/1, 7, 9, 13, 15, 17, 18, 21, 23 Day 74 More ApplicationsAssignment: pp 355/1 – 29 odd, 33, 35 Day 75 9-5 Applications of Trigonometry to Navigation and SurveyingAssignment: pp 362/1 – 9, 11 – 18 Day 76 ReviewDay 77 Test Chapter 9 (500 point assessment)(Chapter 9 HW assignments are due now) Unit 7 - Trigonometric Functions Part 4 of 4Day 78 10-1 Formulas for sum and difference of sine and cosineAssignment: pp 373/1 – 27 odd 10-2 Formulas for Tangent Assignment: pp 377/1, 5 – 19 odd, 23, 29 Day 79 10-3 Double-Angle and Half-Angle FormulasAssignment: pp 383-1 – 25 odd, andAssignment: pp 373/29 – 43 odd Day 80 10-4 Solving Trigonometric EquationsAssignment: pp 389/1 – 43 odd Day 81 ReviewDay 82 Test Chapter 10 (300 point assessment)(Chapter 10 HW assignments are due now) Unit 8 - Polar Coordinates and Complex NumbersDay 83 11-1 Polar Coordinates and GraphsAssignment: pg. 400, #'s 1, 5, 9, 11, 13, 17, 19, 21, 25, 29 – 34 Day 84 11-2 Polar form of a complex numberAssignment: pg. 406, #'s 7, 11, 15, 17, 21, 23, 26, 28, 30, 31 Day 85 11-3 Powers of Complex NumbersAssignment: pg. 410, #'s 1, 3, 5, 6, 8, 9, 13, 14, 17, 18 Day 86 11-4 Roots of Complex NumbersAssignment: pg. 413, #'s 1, 7, 11-16 Day 87 Review for FinalDay 88 Review for FinalDay 89 Review for FinalDay 90 Final Exam (Comprehensive 2000 point assessment)(Chapter 11 HW assignments are due now) |
By the completion of this unit, students will be able toUnit 1 Objectives:- Identify an arithmetic or geometric sequence and find a formula for its nth term.
- Use sequences defined recursively to solve problems.
- Find the sum of the first n terms of arithmetic or geometric series.
- Find or estimate the limit of an infinite sequence or to determine that the limit does not exist.
- Find the sum of an infinite geometric series.
- Represent series using sigma notation.
- Use mathematical induction to prove that a statement is true.
HereRubric for Unit 1 Test: By the completion of this unit, students will be able toUnit 2 Objectives:- Find the intersection of two lines and to find the length and the coordinates of the midpoint of a segment.
- Find the slope of a line and to determine whether two lines are parallel, perpendicular, or neither.
- Find the equation of a line given certain geometric properties of the line.
- Model real-world situations by means of linear functions.
- Add, Subtract, Multiply, and Divide complex numbers.
- Solve quadratic equations using different methods.
- Define and graph quadratic functions.
- Model real-world situations using quadratic functions.
HereRubric for unit 2 test: By the completion of this unit, students will be able toUnit 3 Objectives:- Identify a polynomial function, to evaluate it using synthetic substitution, and to determine its zeros.
- Use synthetic division and to apply the remainder and factor theorems.
- Graph a polynomial function and to determine an equation for a polynomial graph.
- Write a polynomial function for a given situation and to find the maximum or minimum value of the function.
- Use technology to approximate the real roots of a polynomial equation.
- Solve polynomial equations by various methods of factoring including the use of the rational root theorem.
- Apply general theorems about polynomial equations.
hereRubric for unit 3 test: By the completion of this unit, students will be able toUnit 4 Objectives:- Solve and graph linear inequalities in one variable.
- Solve and graph polynomial inequalities in one variable.
- Identify a function, to determine the domain, range, and zeros of a function, and to graph a function.
- Perform operations on functions and to determine the domains of the resulting functions.
- Reflect graphs and to use symmetry to sketch graphs.
- Determine periodicity and amplitude from graphs, to stretch and shrink graphs both vertically and horizontally, and to translate graphs.
- Find the inverse of a function, if the inverse exists.
- Graph functions of two variables in a two-dimensional coordinate system and to read such graphs.
- Form a function of one variable from a verbal description and, when appropriate, to determine the minimum or maximum value of the function.
hereRubric for unit 4 test: By the completion of this unit, students will be able toUnit 5 Objectives:- Define and apply integral exponents.
- Define and apply rational exponents.
- Define and use exponential functions.
- Define and apply the natural exponential function.
- Define and apply logarithms.
- Prove and apply laws of logarithms.
- Solve exponential equations and to change logarithms from one base to another.
hereRubric for unit 5 test: By the completion of this unit, students will be able toUnit 6 Objectives:- Prove theorems from geometry by using coordinates
- Find equations of circles and to find the coordinates of any points where circles and lines meet.
- Find the equations of ellipses and to graph them.
- Find equations of hyperbolas and to graph them.
- Find equations of parabolas and to graph them.
- Solve systems of 2nd degree equations.
- Define conic sections in terms of eccentricity and to classify the graph of a 2nd degree equation by examining the coefficients in the equation.
hereRubric for unit 6 test: By the completion of this unit, students will be able toUnit 7 Objectives:- Find the measure of n angle in either degrees or radians and to find co-terminal angles.
- Find the arc length and area of a sector of a circle and to solve problems involving apparent size.
- Use the definition of sine and cosine to find values of these functions and to solve simple trigonometric equations.
- Use reference angles, calculators or tables, and special angles to find values of the sine and cosine functions and to sketch the graphs of these functions.
- Find the values of the tangent, secant, co-secant and co-tangent functions and to sketch the functions' graphs.
- Find the values of the inverse trigonometric functions.
hereRubric for unit 7 Part 1 test: By the completion of this unit, students will be able toUnit 7 Objectives continued:- Solve simple trigonometric equations and to apply them.
- Find equations of different sine and cosine curves and to apply these equations.
- Use trigonometric functions to model periodic behavior.
- Simplify trigonometric expressions and to prove trigonometric identities.
- Use trigonometric identities or technology to solve more difficult trigonometric equations.
hereRubric for unit 7 Part 2 test: By the completion of this unit, students will be able toUnit 7 Objectives continued:- Use trigonometry to find unknown sides or angles of a right triangle.
- Find the area of a triangle given the lengths of two sides and the measure of the included angle.
- Use the law of sines to find unknown part of a triangle.
- Use the law of cosines to find unknown parts of a triangle.
- Use trigonometry to solve navigation and surveying problems.
hereRubric for unit 7 Part 3 test: By the completion of this unit, students will be able toUnit 7 Objectives continued:- Derive and apply formulas for sum and difference of angles for sine and cosine.
- Derive and apply formulas for sum and difference of angles for tangent.
- Derive and apply double angle and half angle formulas.
- Use identities to solve trigonometric equations.
hereRubric for unit 7 Part 4 test: By the completion of this unit, students will be able toUnit 8 Objectives:- Graph Polar equations
- Write complex numbers in polar form and to find products in polar form.
- Use De Moivre's theorem to find powers of complex numbers.
- Find roots of complex numbers
hereRubric for final exam: |