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 Algebra 2, Third Edition

Quarter 1

Lesson A Geometry review * Angles * Review of absolute value * Properties and definitions Lesson B Perimeter * Area * Volume * Surface area * Sectors of circles Lesson 1 Polygons * Triangles * Transversals * Proportional segments Lesson 2 Negative exponents * Product and power theorems for exponents * Circle relationships Lesson 3 Evaluation of expressions * Adding like terms Lesson 4 Distributive property * Solution of equations * Change sides--change signs Lesson 5 Word problems * Fractional parts of a number Lesson 6 Equations with decimal numbers * Consecutive integer word problems Lesson 7 Percent * Equations from geometry Lesson 8 Polynomials * Graphing linear equations * Intercept-slope method Lesson 9 Percent word problems Lesson 10 Pythagorean theorem Lesson 11 Addition of fractions * Inscribed angles Lesson 12 Equation of a line Lesson 13 Substitution * Area of an isosceles triangle Lesson 14 Equation of a line through two points * Equation of a line with a given slope Lesson 15 Elimination Lesson 16 Multiplication of polynomials * Division of polynomials Lesson 17 Subscripted variables * Angle relationships Lesson 18 Ratio word problems * Similar triangles Lesson 19 Value word problems * AA means AAA Lesson 20 Simplification of radicals * Line parallel to a given line Lesson 21 Scientific notation * Two statements of equality

Quarter 2

Lesson 22 Uniform motion problems--equal distances * Similar triangles and proportions

Lesson 23 Graphical solutions Lesson 24 Fractional equations * Overlapping triangles Lesson 25 Monomial factoring * Cancellation * Parallel lines Lesson 26 Trinomial factoring * Overlapping right triangles Lesson 27 Rational expressions Lesson 28 Complex fractions * Rationalizing the denominator Lesson 29 Uniform motion problems: D1 + D2 = k Lesson 30 Vertical angles are equal * Corresponding interior and exterior angles * 180° in a triangle Lesson 31 Negative reciprocals * Perpendicular lines * Remote interior angles Lesson 32 Quotient theorem for square roots * Congruency * Congruent triangles Lesson 33 Major rules of algebra * Complex fractions Lesson 34 Uniform motion problems: D1 + k = D2 Lesson 35 Angles in polygons * Inscribed quadrilaterals * Fractional exponents Lesson 36 Contrived problems * Multiplication of rational expressions * Division of rational expressions Lesson 37 Chemical compounds * Parallelograms Lesson 38 Powers of sums * Solving by factoring * Only zero equals zero Lesson 39 Difference of two squares * Parallelogram proof * Rhombus Lesson 40 Abstract fractional equations Lesson 41 Units * Unit multipliers Lesson 42 Estimating with scientific notation Lesson 43 Sine, cosine, and tangent * Inverse functions

Text: Advanced Mathematics, Second Edition

Quarter 3

Lesson 1 Geometry Review Lesson 2 More on Area * Cylinders and Prisms * Cones and Pyramids * Spheres Lesson 3 Pythagorean Theorem * Triangle Inequalities (1) * Similar Polygons * Similar Triangles Lesson 4 Construction Lesson 5 Exponents and Radicals * Complex Numbers * Areas of Similar Geometric Figures * Diagonals of Rectangular Solids Lesson 6 Fractional Equations * Radical Equations * Systems of Three Linear Equations Lesson 7 Inductive and Deductive Reasoning * Logic * The Contrapositive * Converse and Inverse Lesson 8 Statements of Similarity * Proportional Segments * Angle Bisectors and Side Ratios Lesson 9 Congruent Figures * Proof Outlines Lesson 10 Equation of a Line * Rational Denominators * Completing the Square Lesson 11 Circles * Properties of Circles * The Quadratic Formula Lesson 12 Angles and Diagonals in Polygons * Proof of the Chord-Tangent Theorem Lesson 13 Intersecting Secants * Intersecting Secants and Tangents * Products of Chord Segments * Products of Secant and Tangent Segments Lesson 14 Sine, Cosine, and Tangent * Angles of Elevation and Depression * Rectangular and Polar Coordinates * Coordinate Conversion Lesson 15 Assumptions * Proofs Lesson 16 Complex Fractions * Abstract Equations * Division of Polynomials Lesson 17 Proofs of the Pythagorean Theorem * Proofs of Similarity Lesson 18 Advanced Word Problems Lesson 19 Nonlinear Systems * Factoring Exponentials * Sum and Difference of Two Cubes Lesson 20 Two Special Triangles Lesson 21 Evaluating Functions * Domain and Range * Types of Functions * Tests for Functions

Quarter 4

Lesson 22 Absolute Value * Reciprocal Functions Lesson 23 The Exponential Function * Sketching Exponentials Lesson 24 Sums of Trigonometric Functions * Combining Functions Lesson 25 Age Problems * Rate Problems Lesson 26 The Logarithmic Form of the Exponential * Logarithmic Equations 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

Advanced Algebra 2 10th Grade## Instructor: Craig Duncan

cduncan@chinquapin.org

Each Quarter 40%Grading and AssessmentFinal 20%

## Quarter Grades:

Tests 75%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.TextAlgebra 2, Third EditionQuarter 1Lesson AGeometry review * Angles * Review of absolute value * Properties and definitionsLesson BPerimeter * Area * Volume * Surface area * Sectors of circlesLesson 1Polygons * Triangles * Transversals * Proportional segmentsLesson 2Negative exponents * Product and power theorems for exponents * Circle relationshipsLesson 3Evaluation of expressions * Adding like termsLesson 4Distributive property * Solution of equations * Change sides--change signsLesson 5Word problems * Fractional parts of a numberLesson 6Equations with decimal numbers * Consecutive integer word problemsLesson 7Percent * Equations from geometryLesson 8Polynomials * Graphing linear equations * Intercept-slope methodLesson 9Percent word problemsLesson 10Pythagorean theoremLesson 11Addition of fractions * Inscribed anglesLesson 12Equation of a lineLesson 13Substitution * Area of an isosceles triangleLesson 14Equation of a line through two points * Equation of a line with a given slopeLesson 15EliminationLesson 16Multiplication of polynomials * Division of polynomialsLesson 17Subscripted variables * Angle relationshipsLesson 18Ratio word problems * Similar trianglesLesson 19Value word problems * AA means AAALesson 20Simplification of radicals * Line parallel to a given lineLesson 21Scientific notation * Two statements of equalityQuarter 2Lesson 22Uniform motion problems--equal distances * Similar triangles and proportionsLesson 23Graphical solutionsLesson 24Fractional equations * Overlapping trianglesLesson 25Monomial factoring * Cancellation * Parallel linesLesson 26Trinomial factoring * Overlapping right trianglesLesson 27Rational expressionsLesson 28Complex fractions * Rationalizing the denominatorLesson 29Uniform motion problems: D1 + D2 = kLesson 30Vertical angles are equal * Corresponding interior and exterior angles * 180° in a triangleLesson 31Negative reciprocals * Perpendicular lines * Remote interior anglesLesson 32Quotient theorem for square roots * Congruency * Congruent trianglesLesson 33Major rules of algebra * Complex fractionsLesson 34Uniform motion problems: D1 + k = D2Lesson 35Angles in polygons * Inscribed quadrilaterals * Fractional exponentsLesson 36Contrived problems * Multiplication of rational expressions * Division of rational expressionsLesson 37Chemical compounds * ParallelogramsLesson 38Powers of sums * Solving by factoring * Only zero equals zeroLesson 39Difference of two squares * Parallelogram proof * RhombusLesson 40Abstract fractional equationsLesson 41Units * Unit multipliersLesson 42Estimating with scientific notationLesson 43Sine, cosine, and tangent * Inverse functionsText:Advanced Mathematics, Second EditionQuarter 3Lesson 1Geometry ReviewLesson 2More on Area * Cylinders and Prisms * Cones and Pyramids * SpheresLesson 3Pythagorean Theorem * Triangle Inequalities (1) * Similar Polygons * Similar TrianglesLesson 4ConstructionLesson 5Exponents and Radicals * Complex Numbers * Areas of Similar Geometric Figures * Diagonals of Rectangular SolidsLesson 6Fractional Equations * Radical Equations * Systems of Three Linear EquationsLesson 7Inductive and Deductive Reasoning * Logic * The Contrapositive * Converse and InverseLesson 8Statements of Similarity * Proportional Segments * Angle Bisectors and Side RatiosLesson 9Congruent Figures * Proof OutlinesLesson 10Equation of a Line * Rational Denominators * Completing the SquareLesson 11Circles * Properties of Circles * The Quadratic FormulaLesson 12Angles and Diagonals in Polygons * Proof of the Chord-Tangent TheoremLesson 13Intersecting Secants * Intersecting Secants and Tangents * Products of Chord Segments * Products of Secant and Tangent SegmentsLesson 14Sine, Cosine, and Tangent * Angles of Elevation and Depression * Rectangular and Polar Coordinates * Coordinate ConversionLesson 15Assumptions * ProofsLesson 16Complex Fractions * Abstract Equations * Division of PolynomialsLesson 17Proofs of the Pythagorean Theorem * Proofs of SimilarityLesson 18Advanced Word ProblemsLesson 19Nonlinear Systems * Factoring Exponentials * Sum and Difference of Two CubesLesson 20Two Special TrianglesLesson 21Evaluating Functions * Domain and Range * Types of Functions * Tests for FunctionsQuarter 4Lesson 22Absolute Value * Reciprocal FunctionsLesson 23The Exponential Function * Sketching ExponentialsLesson 24Sums of Trigonometric Functions * Combining FunctionsLesson 25Age Problems * Rate ProblemsLesson 26The Logarithmic Form of the Exponential * Logarithmic EquationsLesson 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 Formula6th Mathematics

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