High School Geometry

• Shapes and Angles
  • Angles in a circle
  • Area formulas and calculations
  • Constructing bisecting lines and angles
  • Constructing triangles
  • Degrees and radians
  • Identifying right triangles
  • Interior and exterior angles of polygons
  • Parts of a circle
  • Polygons
  • Quadrilaterals
  • Radius and circumference
  • Right triangles
  • Special right triangles
  • Tangents and normals
  • The area of a circle
  • The area of a sector
  • The length of an arc
  • The Triangle Inequality Theorem
  • Triangles
  • Using area formulas
  • Using circle properties
  • Using construction
  • Using polygons
  • Lines
  • Angles
  • Using angles
  • Loci
  • Points, lines, planes and intersections
• Three-Dimensional Shapes
  • Cylinders, cones and spheres
  • Edges of rectangular prisms
  • Prisms
  • Pyramids
  • Surface area of rectangular prisms
  • Using length, area and volume formulas
  • Volume of right rectangular prisms
• Congruence, Similarity and Transformations
  • Combining transformations
  • Congruence and similarity
  • Dilation
  • Reflection and rotational symmetry
  • Reflection symmetry
  • Reflection symmetry in 3-D shapes
  • Rotation
  • Rotational symmetry
  • Rotational symmetry in 3-D shapes
  • Similar right triangles
  • Tessellation
  • The center of dilation
  • Translation
  • Using congruence and similarity
• The Pythagorean Theorem
  • Calculating sides of a triangle
  • Finding the diagonal in a rectangular prism
  • Finding the distance between two points using the Pythagorean Theorem
  • Finding the height of triangles using the Pythagorean Theorem
  • Finding the length of diagonals using the Pythagorean Theorem
  • Pythagorean triples
  • The Pythagorean Theorem
  • Using the Pythagorean Theorem to solve problems in context
• Measurements
  • Calculations involving bounds
  • Continuous measurements
  • Converting units
  • Customary units
  • Ratios
• Trigonometry
  • Applying trigonometry
  • Trig value function
  • Inverses in trigonometry
  • Opposite and adjacent sides
  • Sin, cos and tan of 30, 45 and 60
  • The area of a triangle
  • The cosine ratio
  • The law of cosines
  • The law of sines
  • The sine ratio
  • The sine, cosine and tangent of any angle
  • The tangent ratio
  • Trigonometry summary
• Vectors
  • Adding and subtracting vectors
  • Multiplying vectors by scalars
  • The magnitude of a vector
  • Using vectors to solve problems
  • Vector calculations
  • Vectors
• Coordinate Geometry
  • Linear graphs
  • Slopes and intercepts
  • Parallel and perpendicular lines
  • The distance between two points
  • The midpoint of a line segment
  • The equation of a straight line
  • The equation of a circle