**Syllabus**

**The Basics**

- Line segments and their measures
- Angles and their measures
- Classifying angles
- Angle terminology
- Angle Addition Postulate
- Angle relationships
- Geometric diagrams and notation
- Parallel Lines and the Coordinate Plane
- Parallel lines and transversals
- Proving lines parallel
- Points on the coordinate plane
- The Midpoint Formula
- The Distance Formula
- Slope and lines
- Graphing linear equations
- Writing linear equations

**Surface Area and Volume**

- Identifying solid figures
- Volume of prisms and cylinders
- Nets of prisms and cylinders
- Surface area of prisms and cylinders
- Volume of pyramids and cones
- Nets of pyramids and cones
- Surface area of pyramids and cones
- Spheres
- Similar solids

**Circles**

- Naming arcs and central angles
- Measures of arcs and central angles
- Arcs and chords
- Circumference and area
- Inscribed angles
- Tangents
- Tangent-tangent angles
- Secant-tangent angles
- Segment measures
- Using equations of circles
- Writing equations of circles

**Properties of Triangles**

- Angle bisectors
- Medians
- Centroid
- Triangle Inequality Theorem
- Inequalities in one triangle

**Quadrilaterals and Polygons**

- Classifying quadrilaterals
- Angles in a quadrilateral
- Properties of parallelograms
- Properties of trapezoids
- Area of triangles
- Area of quadrilaterals
- Polygon basics
- Angles in polygons
- Area of regular polygons

**Right Triangles**

- The Pythagorean Theorem
- The converse of The Pythagorean Theorem
- Multi-step Pythagorean Theorem problems
- Special right triangles
- Multi-step special right triangle problems

**Transformations**

- Translations
- Rotations
- Reflections

**Constructions**

- Line segment constructions
- Perpendicular segment constructions
- Angle constructions
- Triangle constructions
- Medians of a triangle constructions
- Altitudes of a triangle constructions
- Angle bisector constructions
- Circle constructions

**Congruent Triangles**

- Classifying triangles
- Triangle angle sum
- Exterior Angle Theorem
- Triangles and Congruence
- Proving triangles congruent: SSS and SAS
- Proving triangles congruent: ASA and AAS
- Right triangle congruence
- Isosceles and equilateral triangles

**Similarity**

- Solving proportions
- Similar polygons
- Similar triangles
- Similar right triangles
- Triangles and parallel lines
- Proportional parts and parallel lines

**Circles**

- Identifying solid figures
- Volume of prisms and cylinders
- Nets of prisms and cylinders
- Surface area of prisms and cylinders
- Volume of pyramids and cones
- Nets of pyramids and cones
- Surface area of pyramids and cones
- Spheres
- Similar solids

**Trigonometry**

- Finding trig. ratios
- Finding angle measures
- Solving for sides of right triangles
- Multi-step trig. problems
- Trigonometry and area