Geometry

Scope and Sequence

Unit 1 – Tools of GeometryThis unit covers nets and perspective drawings, points, lines, and planes.  It also covers measuring segments and angles, angle pairs, basic construction, the coordinate plane, perimeter, circumference, and area.Unit 2 – Reasoning and ProofThis unit discusses inductive reasoning and conditional statements.   It also discusses biconditionals, deductive reasoning, and proofs.Unit 3 – Parallel and Perpendicular LinesThis unit covers transversals, parallel lines, proving lines parallel, parallel and perpendicular, angle sum theorem, more constructions, equations of lines, and slopes of parallel and perpendicular lines.Unit 4 – Congruent TrianglesThis unit discusses congruent figures, SSS and SAS, ASA and SAA, and corresponding parts.  It also discusses isosceles and equilateral, right triangles, and overlapping triangles.Unit 5 – Relationships Within TrianglesThis unit covers midsegments, bisectors, and centers of triangles.  It also covers indirect proof, and inequalities in one and in two triangles.Unit 6 – PolygonsThis unit discusses polygon angle sums, parallelograms, proving a parallelogram, rhombuses, rectangles, and squares.  It also discusses proving special parallelograms, trapezoids and kites, polygons and coordinates, and using coordinates in proofs. Following this unit students are presented with the Mid-term Review and Exam.Unit 7 – SimilarityThis unit discusses ratios and proportions and similar polygons.  Also discussed are proving triangles similar, similarity in right triangles, and proportions in similar triangles.Unit 8 – Right Triangles and TrigonometryThis unit discusses the Pythagorean Theorem, special right triangles, and trigonometry.  Also discussed are angles of elevation and depression, the law of sine, and the law of cosine.Unit 9 – TransformationsThis unit covers translations, reflections, rotations, and compositions.  Also covered are congruence transformations, dilations, and similarity transformations.Unit 10 – AreaThis unit discusses areas of parallelograms, triangles, trapezoids, rhombuses, kites, and regular polygons.  It also discusses circles, sectors, and perimeters and areas of similar figures. It also covers trigonometry and area, circles and arcs, lengths of arcs, area addition and subtraction, and geometric probability.Unit 11 – Surface Area and VolumeThis unit discusses polyhedra, and surface areas and volumes of prisms, cylinders, pyramids, spheres, and similar solids.  It also discusses volumes of cones.Unit 12 – CirclesThis unit covers tangent lines, chords and arcs, and inscribed angles. It also covers angle measures and segment lengths, circles in the coordinate plane, and locus.Unit 13 – ParabolasThis unit explores parabolas and completing the square.  It also investigates distance, midpoint, and circles.Unit 14 – ProbabilityThis unit discusses experimental versus theoretical probability, probability distributions, permutations, combinations, compound probabilities, probability models, conditional probability, expected value, and two-way tables. Following this unit students are presented with the Final Review and Exam.