Understanding Geometric Terms & Their Applications

1. NAME The Unit Organizer 4 BIGGER PICTURE DATE Geometry NEXT UNIT /Experience LAST UNIT /Experience Slopes & Applications of Linear Functions 2 3 CURRENT UNIT 1 Geometry Consumer Mathematics 8 UNIT SCHEDULE UNIT MAP is about... 5 6.1 Understanding Geometric Terms & Their Applications Points, lines, Rays, Segments, and Planes points, lines segments & planes 6.2 Naming, Measuring, And Classifying Angles identifying determining 6.3 Angles in Special Relationships measures of sides and angles of right triangles by using sine, cosine and Tan classifying angles 6.4 Lines, Transversals, And Pairs of Related Angles determining using 6.5 Properties of Parallel Lines and Vertical Angles relationships between angles naming & showing relationship of 6.6 Triangles 6.7 Constructions the Theorem of Pythagoras to determine length of sides of a right triangle 6.8 Quadrilaterals angles made by parallel lines & a transversal 6.9 Polygons 6.10 The Theorem of Pythagoras 6.11 The Tangent Ratio 6.12 The Sine & Cosine Ratios 6.13 Solving Right angles Classify • Do I understand the terminology related to lines, rays, angles, triangles and polygons? • Can I name angles and classify angles in special relationships? • When given a diagram, can I solve for the unknown angles? • Do I understand when to use the Theorem of Pythagoras? • Can I solve for ‘unknowns’ using sin, cosine and tan? 6 Solve UNIT SELF-TEST QUESTIONS Name RELATIONSHIPS UNIT Measure 7

2. NAME The Unit Organizer Geometry DATE 6.13 Solving Right Triangles Expanded Unit Map 9 is about... 6.1 point line ray opposite rays segments planes collinear points coplaner points and lines equal segments bisector 6.12 Sine and Cosine Ratios understanding relationships of geometric designs 6.11 Tangent Ratio 6.2 angles side vertex naming angles classifying angles right acute obtuse straight reflex 6.10 Theorem of pythagoras 6.7 Constructions 6.9 polygons convex and non-convex diagonals of polygons n(n-3) 2 sum of measures of interior angles (n-2)180 sum of measures of exterior angles (1 per vertex, is 360 deg. size of central angles 360 n interior angle size 180 – 360 n • 6.5 • Properties of • parallel lines • P.C.A.C. • P.A.I.A.C. • P.S.S.I.A.S. • vertical angles • V.A.T. 6.8 quadrilateral convex, non-convex, vertices, sides, angles opposite sides adjacent sides diagonals consecutive sides parallelogram rectangle rhombus square 6.4 skew lines parallel lines transversal exterior angles interior angles alternate interior angles same side angles corresponding angles 6.3 Angles & Special Relationships congruent adjacent angle bisectors perpendicular lines rays segments perpendicular bisector vertical angles complementary supplementary 6.6 triangle, vertices, sides scalene Δ, isosceles Δ, equilateral Δ,acute Δ, obtuse Δ, right Δ, equiangular, exterior angles, remote interior angles 10 NEW UNIT SELF-TEST QUESTIONS