Geometry
Geometry 201718
Geometry Content and General Timeline
Semester 1  Semester 2 

Quarter 1 Unit 1: Basic Terms and Constructions Unit 2: Reasoning logic, writing a proof Unit 3: Parallel Lines and Angles Quarter 2 Unit 4: Transformations Unit 5: Triangles 
Quarter 3 Unit 6: Polygons and Special Quadrilaterals Unit 7: Similarity Unit 8: Right Triangles Quarter 4 Unit 9: Circles Unit 10: Volume and Surface Area Unit 11: Probability 
Topics, Objectives, Resources
Unit  Objectives  Vocabulary  Resources 
Basic Terms and Constructions 

(Building Blocks of Geometry) definitions, point, line, plane, collinear, coplanar, line segment, ray, endpoints, midpoint, bisects, segment addition
(Finding Angles) angle, measure of an angle, degrees, congruent, sides of an angle, angle addition, angle bisector, outgoing angle, incoming angle, reflex measure if an angle, vertex, protractor
(Creating Definitions) counterexample, classify, differentiate, skew, right angle, acute angle, obtuse angle, vertical angles, complementary, supplementary, linear pair
(Polygons) polygon, side, vertex, diagonal, convex, concave, perimeter
(Triangles) right triangle, scalene triangle, obtuse triangle, acute triangle, vertex angle, base, isosceles triangle, base angles, equilateral triangle
(Special Quadrilaterals) trapezoid, kite, parallelogram, rhombus, rectangle, square
(Circles) circle, radius, center, chord, diameter, tangent, point of tangency, congruent circles, concentric circles, circumscribed, inscribed, arc, endpoints, semicircle, minor arc, major arc, arc measure, central angle
(Space Geometry) space, cylinder, prism, sphere, cone, pyramid, hemisphere, isometric drawing 
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Big Ideas:
Discovering Geometry: 
Reasoning Logic, Writing a Proof


Venn diagram, inductive reasoning, conjecture, mathematical models, triangular numbers, rectangular numbers, vector, vector translation, deductive reasoning, network, composition of transformations, Law of Syllogism, inverse (of a conditional statement), contrapositive, Law of Contrapositive

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Parallel Lines and Angles


transversal, corresponding angles, alternate interior angles, alternate exterior angles, parallel lines  Click here for Quizlet 
Transformations


image, transformation, isometry, translation, translation vector, rotation, line of reflection, reflection, rigid transformation, nonrigid transformation

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Triangles 

sketch, draw, construct, segment bisector, median, perpendicular bisector, coincide, equidistant, midsegment, altitude, auxiliary line, paragraph proof, legs, vertex angle, base angles, biconditional, base, centroid, exterior angle, adjacent interior angle, remote interior angle, included angle, included side, flowchart, flowchart proof, lemma  Click here for Quizlet 
Polygons and Special Quadrilaterals 
kite, vertex angles (of a kite), nonvertex angles (of a kite), trapezoid, bases (of a trapezoid), base angles (of a trapezoid), isosceles trapezoid, dart, midsegment 
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Similarity 

ratio, proportion, enlargement, reduction, similar, similar polygons, dilation, scale factor, indirect measurement, golden cut, golden rectangle, golden spiral 
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Right Triangles 
Right Triangles hypotenuse, leg (of a right triangle), Pythagorean Theorem, dissection, theorem, Pythagorean Triple, work, distance
Trigonometry trigonometry, adjacent leg (of an acute angle in a right triangle), opposite leg (of an acute angle in a right triangle), tangent (of an acute angle in a right triangle), sine (of an acute angle in a right triangle), cosine (of an acute angle in a right triangle), inverse cosine, sine or tangent (of an acute angle in a right triangle), angle of elevation, angle of depression, clinometer, Law of Sines, Law of Cosines, bearing 
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Circles 
tangent segment, tangent circles, internally tangent circles, externally tangent circles, intercepted arc, inscribed angle, cyclic quadrilateral, secant, circumference, radian measure, arc length, angular velocity (of an object moving around a circle), tangential velocity  Click here for Quizlet  
Volume and Surface Area 
Surface Area: area, base (of a polygon), altitude (of a parallelogram), height, apothem (of a regular polygon) sector of a circle, segment of a circle, annulus, surface area, base (of a solid), lateral face, slant height, frustrum (of a cone or pyramid)
Volume: polyhedron, face, edge, vertex (of a polyhedron) tetrahedron, pentahedron, hexahedron, heptahedron, octahedron, decahedron, dodecahedron, icosahedron, regular polyhedron, prism, pyramid, cylinder, cone, lateral face, lateral edge, altitude (of a prism or cylinder), altitude (of a pyramid or cone), axis (of a cone or cylinder), right (prism, cylinder, or cone), oblique (prism, cylinder, or cone), sphere, center (of a sphere), hemisphere, great circle, volume, displacement, density, Cavalieri's Principle 
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Probability 

relative frequency graphs, probability, outcome, event, trials, experimental probability, theoretical probability, random, tree diagram, counting principle, permutations, combinations, independent, dependent, multiplication rule, expected value 
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