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.
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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. 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