Geometry
Proofs, shapes, and spatial reasoning — a complete geometry course. Also available as an accelerated Summer Test-Out course.
Logic
Conditionals, converses, contrapositives, truth tablesIdentify hypotheses and conclusions, write converses/inverses/contrapositives, evaluate truth values, construct truth tables, and work with biconditionals.
Points, Lines & Planes
Segments, rays, intersections, midpoints, distanceClassify lines, segments, and rays. Find midpoints and distances using formulas. Understand properties of planes, intersections, and collinear/coplanar points.
Angles
Measuring, complementary, supplementary, vertical, bisectorsMeasure and classify angles, find complementary and supplementary pairs, use vertical angle relationships, and construct/use angle bisectors.
Parallel & Perpendicular Lines
Transversals, angle relationships, proofs, slopesIdentify angle pairs formed by transversals (alternate interior, corresponding, etc.), prove lines parallel, and use slopes to classify parallel/perpendicular lines.
Triangles
Classification, angle sum, congruence (SSS, SAS, ASA, AAS)Classify triangles by sides and angles, apply the triangle angle sum theorem, and prove triangle congruence using SSS, SAS, ASA, and AAS postulates.
Proofs
Two-column, paragraph, flowchart proofsWrite formal proofs in two-column, paragraph, and flowchart format. Apply triangle congruence theorems, properties of equality, and geometric postulates.
Similarity
Ratios, proportions, similar triangles, indirect measurementDetermine similarity using AA, SAS, and SSS similarity theorems. Set up and solve proportions with similar figures. Apply indirect measurement techniques.
Right Triangles & Trigonometry
Pythagorean theorem, special triangles, sin/cos/tanApply the Pythagorean theorem and its converse, work with 30-60-90 and 45-45-90 triangles, and use sine, cosine, and tangent ratios to find missing sides and angles.
Quadrilaterals & Polygons
Parallelograms, trapezoids, regular polygonsClassify and prove properties of parallelograms, rectangles, rhombi, squares, and trapezoids. Find interior and exterior angle sums of polygons.
Circles
Arcs, chords, tangent lines, inscribed angles, sectorsCalculate arc length and sector area, understand relationships between chords/tangents/secants, and apply inscribed angle and central angle theorems.
Area & Perimeter
All shapes, composite figures, coordinate geometryCalculate area and perimeter of all standard shapes, decompose composite figures, and find area of polygons on the coordinate plane using the shoelace formula.
Surface Area & Volume
Prisms, cylinders, pyramids, cones, spheresCalculate surface area and volume of prisms, cylinders, pyramids, cones, and spheres. Solve problems involving composite 3D figures.
Transformations
Translations, reflections, rotations, dilations, symmetryPerform and describe translations, reflections, rotations, and dilations. Identify lines of symmetry and rotational symmetry. Compose transformations.
Coordinate Geometry
Distance, midpoint, slope, equations of lines/circlesApply distance and midpoint formulas, use slope relationships, write equations of lines and circles, and prove geometric properties using coordinates.