9th+Geometry+(Adv)

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**
Lessons 1 - 25 (see below)

**Quarter 2**
Lessons 26 - 50 (see below)

GEOMETRY FOUNDATIONS

 * 1 Points, Lines, and Planes**
 * 2 Segments**
 * 3 Angles**
 * 4 Postulates and Theorems about Points, Lines, and Planes**
 * 5 More Theorems about Lines and Planes**
 * 6 Identifying Pairs of Angles**
 * 8 Using Formulas in Geometry**
 * INV 1 Transversals and Angle Relationships**
 * 12 Proving Lines Parallel**

**COORDINATE GEOMETRY**

 * 9 Finding Length: Distance Formula**
 * 11 Finding Midpoints**
 * 16 Finding Slopes and Equations of Lines**
 * 37 Writing Equations of Parallel and Perpendicular Lines**
 * 42 Finding Distance from a Point to a Line**
 * 81 Graphing and Solving Linear Systems**
 * 88 Graphing and Solving Linear Inequalities**
 * 95 Equations of Circles: Translating and Dilating**

**TRIANGLES: CONGRUENCE AND SIMILARITY**

 * 13 Introduction to Triangles**
 * 18 Triangle Theorems**
 * 25 Triangle Congruence: SSS**
 * 28 Triangle Congruence: SAS**
 * 30 Triangle Congruence: ASA and AAS**
 * 32 Altitudes and Medians of Triangles**
 * 38 Perpendicular and Angle Bisectors of Triangles**
 * 39 Inequalities in a Triangle**
 * INV 4 Inequalities in Two Triangles**
 * 46 Triangle Similarity: AA, SSS, SAS**
 * 51 Properties of Equilateral and Isosceles Triangles**

**POLYGONS**

 * 15 Introduction to Polygons**
 * INV 3 Exploring Angles of Polygons**
 * 40 Finding Perimeters and Areas of Composite Figures**
 * 41 Ratios, Proportions, and Similarity**
 * 44 Applying Similarity**
 * 57 Finding Perimeter and Area with Coordinates**
 * 60 Proportionality Theorems**
 * INV 6 Geometric Probability**
 * 66 Finding Perimeters and Areas of Regular Polygons**
 * 87 Area Ratios of Similar Figures** **INV 9 Tessellations**

**RIGHT TRIANGLES AND TRIGONOMETRY**

 * 29 Using the Pythagorean Theorem**
 * 33 Converse of the Pythagorean Theorem**
 * 36 Right Triangle Congruence Theorems**
 * 50 Geometric Mean**
 * 53 45°-45°-90° Right Triangles**
 * 56 30°-60°-90° Right Triangles**
 * 63 Introduction to Vectors**
 * 68 Introduction to Trigonometric Ratios**
 * INV 7 Trigonometric Ratios**
 * 73 Applying Trigonometry: Angles of Elevation and Depression**
 * 82 More Applications of Trigonometry**

**CIRCLES**

 * 23 Introduction to Circles**
 * 26 Central Angles and Arc Measure**
 * 35 Finding Arc Lengths and Areas of Sectors**
 * 43 Chords, Secants, and Tangents**
 * 47 Circles and Inscribed Angles**
 * 58 Tangents and Circles, Part 1**
 * 64 Angles Interior to Circles**
 * 72 Tangents and Circles, Part 2**
 * 75 Writing the Equation of a Circle**
 * 79 Angles Exterior to Circles**
 * 86 Determining Chord Length**

**SOLIDS**

 * 49 Introduction to Solids**
 * 54 Representing Solids**
 * 59 Finding Surface Areas and Volumes of Prisms**
 * 62 Finding Surface Areas and Volumes of Cylinders**
 * 70 Finding Surface Areas and Volumes of Pyramids**
 * 77 Finding Surface Areas and Volumes of Cones**
 * 80 Finding Surface Areas and Volumes of Spheres**
 * 85 Cross Sections of Solids**

**Quarter 3**

 * 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**