Geometry

Description

Geometry is everywhere, not just in pyramids. 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. Throughout this course, students travel a mathematical highway illuminated by spatial relationships, reasoning, connections, and problem solving. 

Major Topics and Concepts

Semester 1
  
Module 1

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

Module 2

Translations
Reflections
Rotations
Rigid Motions and Congruence

Module 3

Line and Angle Proofs
Triangle Proofs
Parallelogram Proofs

Module 4

Dilations
Similar Polygons
Similar Triangles

Module 5

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

Semester 2

Module 6

Using the Coordinates
Slope
Coordinate Applications 

Module 7

Solving Right Triangles
Trigonometric Ratios
Applying Trigonometric Ratios

Module 8

Formulas
Applications of Volume
Density
3-D Figures 

Module 9

Properties of Circles
Inscribed and Circumscribed Circles
Applications of Circles