Points, Lines, Planes, and Space (06:38)
Course Overview
In this course students study the topics presented in geometry but in a modified format. On occasion, students find that problems and/or explanations have been adapted to a simpler format. Students are given extra guidance with more difficult problems. Students formally define geometric figures; describe and apply the properties of similar and congruent figures; and justify conjectures involving similarity and congruence. They recognize and apply angle relationships in situations involving intersecting lines, perpendicular lines, and parallel lines; use coordinate geometry to represent and examine the properties of geometric figures including slope, midpoint, distance, parallel, and perpendicular lines; draw and construct representations of two- and three-dimensional geometric objects using a variety of tools such as straightedge, compass, and technology. Students represent and model transformations in a coordinate plane and describe the results; prove or disprove conjectures and establish the validity of conjectures about geometric objects, their properties and relationships by counterexample, inductive and deductive reasoning, and critiquing arguments made by others. Students use right triangle trigonometric relationships to determine lengths and angle measures; use algebraic representations to model and solve problem situations and to describe and generalize geometric properties and relationships.
Required Materials for Math Integrated Math II
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POINTS, LINES, PLANES
Unit Overview
In this course, you will learn about mathematics through lines and shapes. You will learn theory through studying theorems and postulates. You will apply theory by solving problems about lines and shapes. Look around and you will see that just about everything has a geometrical shape. Some objects have very basic shapes like rectangles and parallel lines while others are more complex like ovals and octahedrons. In essence, there is geometry behind most objects with which we are familiar. Enjoy this course and along the way learn to appreciate the beauty of geometry in your world!
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| Points, Lines, Planes, and Space (06:38) |
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| Points |
| Lines |
| Planes |
| Points, Line Segments, Lines, and Rays |
| Dots Game |
| Collinear |