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High School Geometry (Florida Specific)

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Suggested Prerequisites

Algebra 1

Description

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. Throughout this course, you will travel a mathematical highway illuminated by spatial relationships, reasoning, connections, and problem-solving.

Module One: Geometry Foundations

-Perform geometric constructions

-Write logic statements

-Write proofs regarding lines and angles


Module Two: Transformations and Congruence

-Perform and represent translations, reflections, and rotations

-Prove that two figures are congruent

-Write proofs about triangles and quadrilaterals


Module Three: Dilations and Similarity

-Perform and represent dilations

-Prove that two figures are similar

Module Four: Coordinate Geometry

-Classify polygons using coordinate geometry

-Solve problems using slopes

-Calculate the area and perimeter of polygons

-Determine the weighted average


Module Five: Right Triangles and Trigonometry

-Use special right triangles

-Determine trigonometric ratios for right triangles

-Prove and apply the Law of Sines

-Prove and apply the Law of Cosines


Module Six: Volume and Figures

-Calculate volumes of cylinders, pyramids, cones, and spheres

-Identify shapes of cross-sections of 3-D objects

-Identify 3-D objects generated by 2-D objects

-Determine the surface area of 3-D figures


Module Seven: Circles

-Identify radii, chords, and inscribed and circumscribed angles

-Describe relationships among key features of circles

-Construct the inscribed circles of a triangle

-Create equations of circles using key features

-Graph circles