Woodlawn School

9th Grade Geometry

Page history last edited by Patty Armstrong 3 mos ago

Ninth Grade Geometry

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9th Grade Geometry	Fall	Winter	Spring

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 Constructing with triangles 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 Solve triangles and use them to solve problems Use trigonometry to find measures	Use definitions, postulates, axioms, and theorems in proofs Constructing with circles Compass and protractor use Use circles and solids to solve problems
Portfolio Artifacts	Investigating Advertising Slogans Understanding an Architect Street Mapping on a Coordinate Plane Discovering Geometry in Greek Architecture Quizzes and Tests	Constructing Points of Interest - Discover Euler's Line and Feuerbach's Nine-Point Circle Designing a Quilt Sample Islamic Tiles Self-Similarity Quizzes and Tests	Recommending the Purchase of a Plot of Land Applying Solar Geometry Modeling Cavalieri's Principle "Puzzling" Shapes Quizzes and Tests
Integrated Units	Biology and Service: Reasoning and Logic in Ads and Slogans All subjects: Discovering Geometry in Greek Architecture	Art: Stained Glass Window SS: History of Quilting and Islamic Tiles	SS: Compare cost of land All subjects: Cycles
Field Trips & Speakers	Stained glass studio	Quilt display
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

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