Geometry from Elevated Math

The 22 lessons in this group provide initial instruction or intervention on the language of geometry: points, lines, angles, and triangles. Students learn about the parts of an angle; parallel, perpendicular, and intersecting lines; angle classifications and line relationships; angle relationships and parallel lines; and congruent, similar, and right triangles.

The first seven lessons lay the foundation for visualization, spatial reasoning, and geometric modeling to solve problems. A variety of diagrams, illustrations and models are used to help ensure student success.
M8.1 Language of Geometry
M8.2 Angle Classifications and Line Relationships
M8.3 Angle Relationships and Parallel Lines
M8.4 Triangles
M8.5 Congruent Triangles
M8.6 Similar Triangles
M8.7 Right Triangles

Five lessons cover polygons, quadrilaterals, circles, similar polygons, and inductive and deductive reasoning. These lessons utilize digital video’s special ability to make these topics come to life through animated graphics. Students identify, draw, classify, and compare the geometric figures listed above using models and real-world examples. They also apply proportional reasoning to solve problems, and define and apply inductive reasoning to solve problems involving number patterns and geometric relationships.
M9.1 Quadrilaterals
M9.2 Polygons
M9.3 Circles
M9.4 Similar Polygons
M9.5 Inductive and Deductive Reasoning

In the next five lessons students use coordinate geometry to represent and examine the properties of regular polygons and to explore the links between geometric and algebraic representations of problems. Two-dimensional and three-dimensional objects are used to visualize and help solve problems involving surface area and volume. Three-dimensional solids are built from two-dimensional patterns (nets).
M10.1 Points in a Coordinate Plane
M10.2 Classifying Geometric Figures Using Points
M10.3 Coordinate Geometry
M10.4 Three-Dimensional Shapes
M10.5 Building Models

In the last five lessons students describe and draw translations, reflections, and rotations, as well as graph dilations on a coordinate plane. They identify lines of symmetry in two-dimensional shapes and determine if two shapes have line symmetry, rotation symmetry, and/or point symmetry. They study tessellations, analyze geometric patterns, and use tessellations and fractals to create geometric patterns.
M11.1 Translations and Reflections
M11.2 Rotations
M11.3 Dilations
M11.4 Symmetry
M11.5 Tessellations

Student print materials and Teachers’ Notes are available for download on www.elevatedmath.com.

Download the free Elevated Math app to view two complimentary lessons or buy the lessons individually.