Morgan County School District Re-3 Month Content and Essential Questions August Points, Lines, Planes & Angles S. 5 September Deductive Reasoning S. 4, S. 5 S. 4, Parallel Lines & Planes S. 4, S. 5 October Beginning with polygons S. 4, S. 5 Geometry Honors Skills Assessment Use undefined terms (point, line, plane, space) Use & understand collinear, coplanar & intersecting Use parts of a line (ray & segment) and find distance Use the Segment Addition & Angle Addition Postulate Know the different types of angles Use postulates & theorems relating to points, lines and planes Use conditional statements & converses, as well as biconditionals. Use the properties from algebra to do algebraic proofs. Justify statements using postulate, theorems and/or definitions. Begin formal proofs. Use complimentary, supplementary and vertical angles (both algebraic & proof problems) Use perpendicular lines (both algebraic & proof problems) Homework Quizzes Reading quizzes Chapter Tests Understand parallel & skew lines, as well as parallel planes. Identify corresponding, alternateinterior, and same-side-interior angles. Use corr., a-i & s-s-i angles with parallel lines. Prove that lines are parallel Classify triangles with sides and angles Use the sum of the measures of the angles of a triangle & its corollaries Find measures of exterior angles of triangles Classify polygons Find measures of angles of interior & exterior angles Homework Quizzes Reading Quizzes Homework Quizzes Reading Quizzes Chapter Test Homework Quizzes Reading Quizzes Resources Morgan County School District Re-3 Month November Content and Essential Questions Geometry Honors Skills Assessment Inductive Reasoning S. 2 Look for patterns in number & predict the progress of the sequence. Draw conclusions, based on patterns. Homework Chapter Test Congruent Triangles S. 4, S. 5 Define & use congruence in figures Prove triangles are congruent using SSS, SAS, ASA, AAS, HL Use corresponding parts of congruent triangles (CPCTC) Use the Isosceles Triangle Theorem, its converse and its corollaries. Use concurrent lines **See October Calendar Homework Quizzes Reading Quizzes Chapter Test Learn properties of parallelograms Use properties to prove that quadrilaterals are parallelograms Identify and use properties of special parallelograms Identify and use properties of trapezoids Homework Quizzes Reading Quizzes Chapter Test Congruent Triangles Quadrilaterals S. 4, S. 5 December Quadrilaterals Inequalities in Geometry S. 4, S. 5 January Ratios, Proportions & Similarity S. 4, S. 5, S. 6 Use theorems involving parallel lines in triangles **See November calendar Use inverses and contrapositives of statements Use indirect proofs Show if three lengths can form a triangle Determine order of lengths of sides of triangles by angle measurements (and vice verse) Use ratios and proportions to find length in geometric figures Use similarity to find lengths of sides Homework Quizzes Homework Quizzes Reading Quizzes Resources Morgan County School District Re-3 Month Content and Essential Questions Right Triangles S. 4, S. 5, S. 6 February Introducing Trigonometry S. 4, S. 5 Areas of Plane Figures S. 3, S. 4, S. 5, S.6 Geometry Honors Skills Assessment and/or measurements of angles Use AA~, SAS~ and SSS~ to prove triangles are similar. Use Triangle Proportionality Theorem and Triangle Angle Bisector Theorem to find lengths of sides. Chapter Test Use similarity to find lengths in right triangles Use Pythagorean Theorem Use the converse of the Pythagorean Theorem to determine the type of triangle Use special right triangles (45-45-90 and 30-60-90). Use sine, cosine, & tangent ratios Problem solve, using sine cosine & tangent Homework Quizzes Reading Quizzes Chapter Test Find areas of parallelograms, rectangles, squares, triangles, trapezoids, circles and all regular polygons. Homework Quizzes Reading Quizzes Chapter Test Find arc lengths and sector areas. Determine areas of figures, based on ratios of similar figures. Determine the probability of an event, based an area. Surface Areas and Volumes of Space Figures S. 4, S. 5, S. Find lateral areas, total areas, and volumes of prisms, pyramids, cylinders, and cones. Homework Quizzes Reading Quizzes Chapter Test Resources Morgan County School District Re-3 Month March Content and Essential Questions Continue with Space Figures Circles S. 4, S. 5 Geometry Honors Skills Assessment Find surface area and volume of spheres Determine the areas and volumes of space figures, based on the ratio of similar figures. Identify segments, lines, and angles associated with circles Homework Quizzes Reading Quizzes Chapter Test Find measures of central and inscribed angles, as well as those formed by tangents, secants and chords. Also, find measures of arcs based on various angles. Find lengths of segments associated with circles. April Constructions & Loci Use basic construction techniques to find perpendicular bisectors, other bisectors, and other perpendicular lines to segments, as well as to construct a congruent segment. Use basic construction techniques to find the bisector of an angle and to congruent angles. Use construction techniques to form congruent triangles and to find the concurrent lines of a triangle. Use construction techniques to find tangents of circles, as well as to inscribe polygons in circles and inscribe circles in polygons. Make constructions based on loci. Homework Project Resources Morgan County School District Re-3 Month May Content and Essential Questions Coordinate Geometry S.2, S. 4, S. 5 Geometry Honors Skills Review Algebra concepts of graphing, including use of graphing calculators. Find the length of a segment, based on the distance formula. Find the equation of a circle, and use the equation to sketch a circle on a graph. Use distance and slope to determine types of parallelograms. Find the midpoint of a segment, based on the coordinates its endpoints. Assessment Homework Quizzes Reading Quizzes Chapter Test Resources