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Transcript

Geometry Fall Syllabus 1st Quarter August 17 – October 14 Chapter 1 1.2 1.3 1.4 1.5 Points, Lines, and Planes Segments, Rays, and Distance Angles Postulates and Theorems Relating to Points, Lines, and Planes Chapter 2 2.1 2.2 2.3 2.4 2.5 2.6 If-Then Statements; Converses Properties form Algebra Proving Theorems Special Pairs of Angles Perpendicular Lines Planning a Proof Chapter 3 3.1 3.2 3.3 3.4 3.5 Definitions Properties of Parallel Lines, Parts 1 & 2 Proving Lines Parallel, Parts 1 & 2 Angles of Triangle Angles of a Polygon 2nd Quarter October 17 – January 12 Chapter 4 4.1 4.2 4.3 4.4 4.5 4.6 4.7 Congruent Figures Some Ways to Prove Triangles Congruent Using Congruent Triangles The Isosceles Triangle Theorems Other Methods of Proving Triangles Congruent Using More than One Pair of Congruent Triangles Medians, Altitudes, and Perpendicular Bisectors Chapter 5 5.1 5.2 5.3 5.4 5.5 Properties of Parallelograms Ways to Prove that Quadrilaterals are Parallelograms Theorems Involving Parallel Lines Special Parallelograms Trapezoids Chapter 6 6.4 6.5 Inequalities for One Triangle Inequalities for Two Triangles Semester Exams will be given before the Christmas break. Geometry Spring Syllabus 3rd Quarter January 17 – March 9 Chapter 7 7.1 7.2 7.3 7.4 7.5 7.6 Ratio and Proportions Properties of Proportions Similar Polygons A Postulate for Similar Triangles Theorems for Similar Triangles Proportional Lengths Chapter 8 8.1 8.2 8.3 8.4 8.5 8.6 8.7 Similarity in Right Triangles The Pythagorean Theorem The Converse of the Pythagorean Theorem Special Right Triangles The Tangent Ratio Sine and Cosine Ratios Applications of Right Triangle Trigonometry Chapter 9 9.1 9.2 9.3 9.4 9.5 9.6 9.7 Basic Terms Tangents Arcs and Central Angles Arcs and Chords Inscribed Angles Other Angles Circles and Lengths of Segments 4th Quarter March 19 – May 30 Chapter 11 11.1 11.2 11.3 11.4 11.5 11.6 11.7 Areas of Rectangles Areas of Parallelograms, Triangles, and Rhombuses Areas of Trapezoids Areas of Regular Polygons Circumferences and Areas of Circles Arc Lengths and Areas of Sectors Ratios of Areas Chapter 12 12.1 12.2 12.3 12.4 12.5 Prisms Pyramids Cylinders and Cones Spheres Areas and Volumes of Similar Solids Chapter 13 13.1 13.2 13.3 13.5 13.6 13.7 The Distance Formula (could be covered with Pythagorean Theorem) Slope of a Line Parallel and Perpendicular Lines The Midpoint Formula (could be covered with Distance Formula) Graphing Linear Equations Writing Linear Equations