# Geometry-SE

#### Course Features

#### Course Details

Course Overview

Designed for special education, Acellus Geometry-SE teaches students the basic principles of Euclidian Geometry including points, lines, angles, surfaces, and solids.
Geometry-SE is recommended for students in grades 9-12 who have completed Acellus Algebra-SE, to ensure that these students have a strong foundation upon which to build.
Course topics include:
- Points, Segments, Length
- Pythagorean Theorem
- Rays, Angles, Planes
- Congruency
- Logic Reasoning (truth tables)
- Transformations
- Postulates and Theorems of Geometry
- Geometric Proofs
- Complement and Supplement
- Properties of Triangles
- Special Triangles (30-60-90 and 45-45-90)
- Polygons
- Polyhedra
- Euler’s Formula
- Similar Figures
- Trigonometric Ratios
- Properties of Circles
- Arc, Arc Length, Chords, and Sectors
- Surface Area
- Volume

This course was developed by the International Academy of Science. Learn More

**Scope and Sequence**

**Unit 1 – Measure**This unit covers the pythagorean theorem, rays, angles, and planes, measuring angles and perpendiculars, and congruency in size and shape.

**Unit 2 – Logic**This unit discusses inductive and deductive reasoning, if-then statements, truth tables, postulates, and proofs.

**Unit 3 – Transformations**This unit covers reflections, rotations, translations, dilations, tessellations, and symmetry.

**Unit 4 – Congruent Angles**This unit discusses the angle-addition and corresponding-angle postulates, complement and supplement, vertical angles, angle bisectors, transversals, and alternate interior and corresponding angles.

**Unit 5 – Triangles - Part A**This unit covers triangle classification, the 180 Degree Theorem, exterior angles, and congruency of triangles. Also covered are SSS and SAS, as well as ASA and SAA.

**Unit 6 – Area & Pythagorean Theorem**This unit discusses area versus perimeter, polygons, and 30-60-90 and 45-45-90 triangles.

**Unit 7 – Polygons**This unit discusses quadrilaterals, parallelograms, rhombi, rectangles, squares, polygons, regular polygons, and polyhedra.

**Unit 8 – Similarity**This unit defines similarity and discusses the perimeter and area of similar figures, as well as AA, SSS, and SAS.

**Unit 9 – Circles**This unit covers radius, diameter, and chord, as well as tangent lines and formulas for circumference and area of circles.

**Unit 10 – Surface Area**This unit includes surface area of prisms, cylinders, and spheres.

**Unit 11 – Volume**This unit discusses the volume of prisms, cylinders, and spheres.