Geometry

• Subject: Mathematics
• Audience: High School
• Credits: 1 (.5 per segment)
• Prerequisites:  Algebra I or equivalent experience
• SCED: 02072 G

## Description:

Throughout this course, students will learn about shapes, points, lines, and planes and gain an understanding of how geometry affects the world around us. They will travel a mathematical highway illuminated by spatial relationships, reasoning, connections, and problem solving.  They will gain a broad understanding of the uses for geometrical thinking in their everyday world.

## Iowa Core Skills and Standards:

Basic Construction of Shapes, Transformations, Reflections, Rotations, Line and Angle Proofs, Symmetry and Dilations, Triangle Proofs, Volume of Shapes, Geometry of Circles.

## Why It Matters:

Students should recognize that Geometry is everywhere. Engineers use geometry to build highways and bridges. Artists use geometry to create perspective in their paintings, and mapmakers help travelers find things using the points located on a geometric grid.

## Required Materials:

Student will need a scientific calculator, the free Desmos or Graphmatica application and the free Geogebra application. Details will be provided during the first week of class.  Also, Proof Resources (link provided within the course for download or printing), a protractor, compass, a tape measure for some assignments (metric and English units preferred), index cards, tissue or wax paper, and graph paper.

View a list of required materials and technology for all ILO online courses.

Iowa Learning Online operates on a semester model, offering enrollments for Fall, Spring, and Summer. Students must be enrolled each semester for the appropriate segment of the course they wish to take.

## Major Topics and Concepts:

### Segment 1

Module 01: Basics of Geometry

• Points, lines, and planes
• Constructions of segments, angles, lines, inscribed triangles, squares, and hexagons
• Introduction to Proofs

Module 02: Transformations and Congruence

• Translations
• Reflections
• Rotations
• Rigid Motions and Congruence

Module 03: Proofs of Theorems

• Line and Angle Proofs
• Triangle Proofs
• Parallelogram Proofs

Module 04: Dilations and Similarity

• Dilations
• Similar Polygons
• Similar Triangles

Module 05: Triangle Similarity Proofs

• Triangle Congruence and Similarity
• Application of Congruence and Similarity
• Honors Extension Activity

### Segment 2

Module 06: Coordinate Geometry

• Using the Coordinates
• Slope
• Coordinate Applications

Module 07: Right Triangles and Trigonometry

• Solving Right Triangles
• Trigonometric Ratios
• Applying Trigonometric Ratios

Module 08: Volume and Figures

• Formulas
• Applications of Volume
• Density
• 3-D Figures

Module 09: Circles

• Properties of Circles
• Inscribed and Circumscribed Circles
• Applications of Circles