10th+Algebra+2

=**Advanced Algebra 2 10th Grade**=

Instructor: Craig Duncan
cduncan@chinquapin.org

**Grading and Assessment**
Each Quarter 40% Final 20%

Quarter Grades:
Tests 75% Homework 25%

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.
 * Homework** graded weekly by other students. (double off if problems are skipped or no work is shown)
 * 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.

**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

**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

**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

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