COURSE DESCRIPTION

CHAPTERS

Ch.1 – Transformations, Congruence, Proof, and ConstructionsThe Language of Geometry Transformations in the Coordinate Plane Symmetry Properties of Transformations Composition of Transformations Congruent Figures Defined in Terms of Rigid Motions Congruent Parts of Congruent Triangles Triangle Congruence Criteria Constructions 1.1 Special Pairs of Angles Angles Formed by Parallel Lines Cut by Transversal Angles in a Triangle Isosceles Triangles The Triangle Inequality Theorem Angle Side Relationships in Triangles Properties of Parallelograms Special Quadrilaterals Making Conclusions and Developing Proofs Proofs Based on Congruent Triangles Constructions 1.2 Line Segments in Triangles Constructions 1.3 Unit Assessment: Transformations, Congruence, Proof, and Constructions Ch.2 – Similarity, Right Triangles and TrigonometryProperties of Dilations Similarity Transformations and Triangles Constructions 2.1 AA Similarity in Triangles SSS~ and SAS~ Similarity The Splitter Theorems Similar Right Triangles Triangles: Congruence and Similarity The Special (Reference) Triangles Constructions 2.2 Define Trigonometric Ratios in Right Triangles Relating Sine and Cosine Applications of Trigonometric Ratios and the Pythagorean Theorem Unit Assessment: Similarity, Proof, and Trigonometry |
Ch.3 – Geometric Measurement and DimensionApply Geometric Principles to Solve for Perimeter and Area Apply Geometric Principles to the Area and Circumference of Circles Areas of Regular Polygons Identifying the Parts of Solid Figures Cross Sections of Solids Volume of Prisms & Cylinders Volume of Pyramids, Cones, and Spheres Cavalieri’s Principle Surface Area of Solids Rotational Volume Describe Objects Geometrically and Apply Concepts of Density Solving Design Problems with Geometry Unit Assessment: Geometric Measurement and Dimension Ch.4 – Expressing Geometric Properties with Equations (Analytic Geometry)Connecting Algebra and Geometry Through Coordinates Proving the Slope Criteria of Parallel and Perpendicular Lines Perpendicular Bisectors Proving Triangles in the Coordinate Plane Constructions 4.1 Proving Quadrilaterals in the Coordinate Plane Constructions 4.2 Partitioning Line Segments into a Given Ratio Area and Perimeter of Figures in the Coordinate Plane Focus-Directrix Definition of a Parabola Unit Assessment: Expressing Geometric Properties with Equations (Analytic Geometry) Ch.5 – CirclesThe Equation of a Circle in the Coordinate Plane Completing the Square to Determine the Center and Radius of a Circle Proving Points Lie on a Circle in the Coordinate Plane Intersecting Chords, Secants, and Tangents Chords in Circles Line Segments in a Circle Constructions 5.1 Characteristics of Angles in Inscribed Polygons Tangent Lines in Circles Constructions 5.2 Circles are Similar Constructions 5.3 Arc Length and Area of Sectors (in Radians) Unit Project: Construct a 9-Point Circle Unit Assessment: Circles |