Homework graded weekly by other students. (double off if problems are skipped or no work is shown)
Students have 90 to 100 problems per week. Students usually have 15 to 20 minutes per day to work on homework in class and to ask the teacher or other students for help on specific problems. Each student has access to a solution book as well to check their answers and methods of working the problems. Students are constantly encouraged to stay a lesson ahead of the class. Students have a three week assignment sheet detailing when lessons will be covered, when they are due and when tests will be given. Open book pop quizzes with problems counting as test questions on the next test. (with time to study on their own and then seek help from other students before the quiz) Weekly tests given with extra credit or penalty (see next ) on the long period day of the week. Average sheet is kept by each student and signed weekly by parents. If the student brings the Avg sheet back signed the first day of the week, he gets 5 bonus points on the next test, with a penalty of a point per day. If the sheet is turned in without parent signature the student loses three points on the next test, If the sheet is not turned in at all 5 points are deducted from the test score. Test Corrections are required of any student making below an 80 on a test. A form is given for self assessment as to carelessness or lack of understanding. This is enforced by an additional 5 points deducted from the test score until the test corrections are turned in.

Text: Advanced Mathematics, Second Edition

Quarter 1

Lesson 27 Related Angles * Signs of Trigonometric Functions Lesson 28 Factorial Notation * Abstract Rate Problems Lesson 29 The Unit Circle * Very Large and Very Small Fractions * Quadrantal Angles Lesson 30 Addition of Vectors * Overlapping Triangles Lesson 31 Symmetry * Reflections * Translations Lesson 32 Inverse Functions * Four Quadrant Signs * Inverse Trigonometric Functions Lesson 33 Quadrilaterals * Properties of Parallelograms * Types of Parallelograms * Conditions for Parallelograms * Trapezoids Lesson 34 Summation Notation * Linear Regression * Decomposing Functions Lesson 35 Change in Coordinates * The Name of a Number * The Distance Formula Lesson 36 Angles Greater Than 360° * Sums of Trigonometric Functions * Boat-in-the-River Problems Lesson 37 The Line as a Locus * The Midpoint Formula Lesson 38 Fundamental Counting Principle and Permutations * Designated Roots * Overall Average Rate Lesson 39 Radian Measure of Angles * Forms of Linear Equations Lesson 40 The Argument in Mathematics * The Laws of Logarithms * Properties of Inverse Functions Lesson 41 Reciprocal Trigonometric Functions * Permutation Notation Lesson 42 Conic Sections * Circles * Constants in Exponential Functions Lesson 43 Periodic Functions * Graphs of Sin and Cos Lesson 44 Abstract Rate Problems Lesson 45 Conditional Permutations * Two-Variable Analysis Using a Graphing Calculator
Lesson 46 Complex Roots * Factoring Over the Complex Numbers Lesson 47 Vertical Sinusoid Translations * Arctan Lesson 48 Powers of Trigonometric Functions * Perpendicular Bisectors Lesson 49 The Logarithmic Function * Development of the Rules for Logarithms Lesson 50 Trigonometric Equations Lesson 51 Common Logarithms and Natural Logarithms Lesson 52 The Inviolable Argument * Arguments in Trigonometric Equations Lesson 53 Review of Unit Multipliers * Angular Velocity Lesson 54 Parabolas Lesson 55 Circular Permutations * Distinguishable Permutations Lesson 56 Triangular Areas * Areas of Segments * Systems of Inequalities Lesson 57 Phase Shifts in Sinusoids * Period of a Sinusoid Lesson 58 Distance from a Point to a Line * "Narrow" and "Wide" Parabolas Lesson 59 Advanced Logarithm Problems * The Color of the White House Lesson 60 Factorable Trigonometric Equations * Loss of Solutions Caused by Division

Quarter 2

Lesson 60 Factorable Trigonometric Equations * Loss of Solutions Caused by Division Lesson 61 Single-Variable Analysis * The Normal Distribution * Box-and-Whisker Plots Lesson 62 Abstract Coefficients * Linear Variation Lesson 63 Circles and Completing the Square Lesson 64 The Complex Plane * Polar Form of a Complex Number * Sums and Products of Complex Numbers Lesson 65 Radicals in Trigonometric Equations * Graphs of Logarithmic Functions Lesson 66 Formulas for Systems of Equations * Phase Shifts and Period Changes Lesson 67 Antilogarithms Lesson 68 Locus Definition of a Parabola * Translated Parabolas * Applications * Derivation Lesson 69 Matrices * Determinants Lesson 70 Percentiles and z Scores Lesson 71 The Ellipse (1) Lesson 72 One Side Plus Two Other Parts * Law of Sines Lesson 73 Regular Polygons Lesson 74 Cramer's Rule Lesson 75 Combinations Lesson 76 Functions of (-x) * Functions of the Other Angle * Trigonometric Identities (1) * Rules of the Game

Advanced Precalculus 11th Grade## Instructor: Craig Duncan

cduncan@chinquapin.org

Each Quarter 40%Grading and AssessmentFinal 20%

Tests 75%Quarter Grades:Homework 25%

Homeworkgraded weekly by other students. (double off if problems are skipped or no work is shown)Students have 90 to 100 problems per week. Students usually have 15 to 20 minutes per day to work on homework in class and to ask the teacher or other students for help on specific problems. Each student has access to a solution book as well to check their answers and methods of working the problems. Students are constantly encouraged to stay a lesson ahead of the class. Students have a three week assignment sheet detailing when lessons will be covered, when they are due and when tests will be given.

Open book pop quizzeswith problems counting as test questions on the next test. (with time to study on their own and then seek help from other students before the quiz)Weekly testsgiven with extra credit or penalty (see next ) on the long period day of the week.Average sheetis kept by each student and signed weekly by parents. If the student brings the Avg sheet back signed the first day of the week, he gets 5 bonus points on the next test, with a penalty of a point per day. If the sheet is turned in without parent signature the student loses three points on the next test, If the sheet is not turned in at all 5 points are deducted from the test score.Test Correctionsare required of any student making below an 80 on a test. A form is given for self assessment as to carelessness or lack of understanding. This is enforced by an additional 5 points deducted from the test score until the test corrections are turned in.Text:Advanced Mathematics, Second EditionQuarter 1Lesson 27Related Angles * Signs of Trigonometric FunctionsLesson 28Factorial Notation * Abstract Rate ProblemsLesson 29The Unit Circle * Very Large and Very Small Fractions * Quadrantal AnglesLesson 30Addition of Vectors * Overlapping TrianglesLesson 31Symmetry * Reflections * TranslationsLesson 32Inverse Functions * Four Quadrant Signs * Inverse Trigonometric FunctionsLesson 33Quadrilaterals * Properties of Parallelograms * Types of Parallelograms * Conditions for Parallelograms * TrapezoidsLesson 34Summation Notation * Linear Regression * Decomposing FunctionsLesson 35Change in Coordinates * The Name of a Number * The Distance FormulaLesson 36Angles Greater Than 360° * Sums of Trigonometric Functions * Boat-in-the-River ProblemsLesson 37The Line as a Locus * The Midpoint FormulaLesson 38Fundamental Counting Principle and Permutations * Designated Roots * Overall Average RateLesson 39Radian Measure of Angles * Forms of Linear EquationsLesson 40The Argument in Mathematics * The Laws of Logarithms * Properties of Inverse FunctionsLesson 41Reciprocal Trigonometric Functions * Permutation NotationLesson 42Conic Sections * Circles * Constants in Exponential FunctionsLesson 43Periodic Functions * Graphs of Sin and CosLesson 44Abstract Rate ProblemsLesson 45Conditional Permutations * Two-Variable Analysis Using a Graphing CalculatorLesson 46 Complex Roots * Factoring Over the Complex Numbers

Lesson 47Vertical Sinusoid Translations * ArctanLesson 48Powers of Trigonometric Functions * Perpendicular BisectorsLesson 49The Logarithmic Function * Development of the Rules for LogarithmsLesson 50Trigonometric EquationsLesson 51Common Logarithms and Natural LogarithmsLesson 52The Inviolable Argument * Arguments in Trigonometric EquationsLesson 53Review of Unit Multipliers * Angular VelocityLesson 54ParabolasLesson 55Circular Permutations * Distinguishable PermutationsLesson 56Triangular Areas * Areas of Segments * Systems of InequalitiesLesson 57Phase Shifts in Sinusoids * Period of a SinusoidLesson 58Distance from a Point to a Line * "Narrow" and "Wide" ParabolasLesson 59Advanced Logarithm Problems * The Color of the White HouseLesson 60Factorable Trigonometric Equations * Loss of Solutions Caused by Division## Quarter 2

Lesson 60Factorable Trigonometric Equations * Loss of Solutions Caused by DivisionLesson 61Single-Variable Analysis * The Normal Distribution * Box-and-Whisker PlotsLesson 62Abstract Coefficients * Linear VariationLesson 63Circles and Completing the SquareLesson 64The Complex Plane * Polar Form of a Complex Number * Sums and Products of Complex NumbersLesson 65Radicals in Trigonometric Equations * Graphs of Logarithmic FunctionsLesson 66Formulas for Systems of Equations * Phase Shifts and Period ChangesLesson 67AntilogarithmsLesson 68Locus Definition of a Parabola * Translated Parabolas * Applications * DerivationLesson 69Matrices * DeterminantsLesson 70Percentiles and z ScoresLesson 71The Ellipse (1)Lesson 72One Side Plus Two Other Parts * Law of SinesLesson 73Regular PolygonsLesson 74Cramer's RuleLesson 75CombinationsLesson 76Functions of (-x) * Functions of the Other Angle * Trigonometric Identities (1) * Rules of the GameSelected Problem sets from Saxon Text:Calculus## Quarter 3

Quarter 46th Mathematics

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