Ninth Grade Geometry
Back to 9th Grade Geometry Overview
Other 9th Grade Maps: Language Arts, World Civilizations, Biology, Spanish
| 9th Grade Geometry | | | | |
| Topics | Basics of Geometry Reasoning and Proof Perpendicular and Parallel Lines Congruent Triangles | Properties of Triangles Quadrilaterals Transformations Similarity | Right Triangles and Trigonometry Circles Areas of Polygons Surface Area and Volume Non-Euclidean Geometry | |
| Content | Patterns Inductive Reasoning Geometric terms Segment and angle postulates Distance and Midpoint formulas Classify angles Conditional and biconditional statements Definitions and properties from Algebra Symbolic notation Laws of logic Identify relationships between lines and angles Classify and find angle measures in triangles Congruent figures Congruence postulates and theorems Properties of equilateral, isosceles, and right triangles | Properties of perpendicular bisectors, angle bisectors, medians, altitudes, and midsegments of a triangle Triangle Inequality Hinge Theorem Identify, name, and describe polygons Use properties of parallelograms, trapezoids, and kites Use properties of sides, angles, and diagonals of rhombuses, rectangles, and squares Find the area of squares, rectangles, parallelograms, triangles, trapezoids, kites, and rhombuses Reflections, rotations, translations, and glide reflections Ratios and propertions Similar triangles and polygons | Similar triangles Pythagorean theorem and converse Trigonometric ratios Magnitude and direction of a vector Add vectors Properties of tangents, arcs, shords, and inscribed polygons Inscribed angles Angles formed by tangents, secants, and chords Equation of a circle Interior and exterior angles of polygons Perimeters and areas of similar figures Circumference of circle and arc length Areas of circles and sectors Geometric probability Properties of polyhedra Euler's Theorem Surface area and volume of prisms, cylinders, pyramids, cones, and spheres Scale factor of similar solids | |
| Skills | Use definitions, postulates, axioms, and theorems in proofs Constructing with lines and angles Compass and protractor use Use logic to form conclusions Problem solving | Use definitions, postulates, axioms, and theorems in proofs Constructing with triangles and rectangles Compass and protractor use Use ratios and proportions to solve problems Perspective drawing | Use definitions, postulates, axioms, and theorems in proofs Constructing with circles Compass and protractor use Solve triangles and use them to solve problems Use trigonometry to find measures Use circles and solids to solve problems | |
| Portfolio Artifacts | Investigating Advertising Slogans Understanding an Architect Constructing a Dance Floor Street Mapping on a Coordinate Plane Quizzes and Tests | Constructing Points of Interest - Discover Euler's Line and Feuerbach's Nine-Point Circle "Puzzling" Shapes Designing a Quilt Sample Self-Similarity Quizzes and Tests | Recommending the Purchase of a Plot of Land Applying Solar Geometry Modeling Cavalieri's Principle Quizzes and Tests | |
| Integrated Units | SS: Well-known American Architects LA/Spanish: Logic in Advertising Slogans | Art: Stained Glass Window and Designing a Dance Floor SS: History of Quilting | SS: Compare cost of land Service Learning: Quilt tote | |
| Field Trips & Speakers | Stained glass studio | Quilt display | Brian Center | |
| Resources | McDougal Littell’s Geometry Cracking the New SAT | McDougal Littell’s Geometry Cracking the New SAT | McDougal Littell’s Geometry Cracking the New SAT |
Page Information
|
Wiki Information |
Recent PBwiki Blog Posts |
Create your own educational wiki!