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2019-2020  Geometry Curriculum

Unit 1:  Essentials of Geometry

Points, distance, segments, lines, rays, angles, complementary, supplementary, vertical, constructing triangles, midpoint, segment bisector, angle bisector, perpendicular

Unit 2: Circles

Circle Terminology, Inscribed Angles, Intersecting Chords, Tangents to a Circle, Angles formed by Chords, Secants and Tangents, Lengths of Segments formed by Chords, Secants and Tangents, Equations of Circles, Placing Circles in Standard form, Graphing Circles

Unit 3:  Transformations

Properties and constructions of rotations, reflections, translations, congruence and rigid motions, basic rigid motion proofs, symmetries of a figure, isosceles triangles

Unit 4:  Coordinate Geometry

Applying formulas for slope, midpoint and distance, parallel and perpendicular lines, Equations of Lines, Pythagorean Theorem, Dividing a segment Proportionally, Coordinate Geometry Proofs

Unit 5:  Congruent Triangle Proofs

Drawing inferences, axioms of equality, SAS, ASA, AAS, SSS and Hy-leg Congruence, CPCTC, proofs with partitioning, parallel lines

Unit 6:  Advanced Constructions

Constructing angles, parallel lines, perpendicular lines, bisecting an angle, inscribed polygons in a circle, inscribing a circle in a triangle

Properties of a trapezoid, parallelogram, rectangle, rhombus, and square. What characteristics determine specific quads,

Unit 8:  Similarity

Dilations, dilations in the coordinate plane, dilations and angles, similarity, AA~, SAS~, SSS~, proofs involving similarity, side splitter theorem, partitioning a line segment, medians of triangles, right triangle similarity, proving the Pythagorean theorem

Unit 9:  Trigonometry

Trigonometry ratios, finding missing sides and angles in a right triangle, area of a triangle using trigonometry, Law of Sines, Law of Cosines, trigonometric applications

Unit 10:  3-D Geometry (Measurement and Modeling)

Perimeter, Circumference, area of polygons, area of a circle, surface area of a sphere, sectors of circles, Radian measure, solids and their cross sections, volume of prisms, cylinders, pyramids, cones, spheres, and the truncated cone