Geometry, Semester A

  • Date created

    June 29, 2020

  • Last updated

    March 31, 2021

Enroll in Geometry with Dolphin STEM Academy

Course Overview

Geometry is a branch of mathematics that uses logic and formal thinking to establish
mathematical relationships between points, lines, surfaces, and solids. In Geometry A,
you will explore rigid and non-rigid transformations of figures in the coordinate plane
and use them to establish congruence and similarity of triangles and other shapes. You
will also prove theorems about lines, angles, triangles, and parallelograms, and build
geometric constructions using both basic tools and modern technology. In conclusion,
you will apply your knowledge of triangles as you investigate the mathematics of
trigonometry.

Course Goals

By the end of this course, you will be able to do the following:
Perform different types of transformations in the coordinate plane.
Describe congruence in terms of rigid motions.
Prove geometric theorems.
Make geometric constructions.
Describe similarity in terms of similarity transformations.
Prove theorems involving similarity.
Define trigonometric ratios and solve problems involving right triangles.
Apply trigonometry to general triangles.

Math Skills

Two semesters of Algebra is a prerequisite for Geometry A. Before beginning this
course, you should be able to do the following:
Identify |x| as the distance from x to 0 on a number line.
Work with whole number exponents and the laws of exponents.
Perform arithmetic with polynomials, including factoring.
Solve linear equations and inequalities in one variable.
Use coordinate plane terminology.
Represent linear relationships graphically and with equations.
Graph functions using basic calculator skills.

General Skills

To participate in this course, you should be able to do the following:
Complete basic operations with word processing software, such as Microsoft Word or Google Docs.
Perform online research using various search engines and library databases.
Communicate through email and participate in discussion boards.

For a complete list of general skills that are required for participation in online courses,
refer to the Prerequisites section of the Plato Student Orientation document, found at
the beginning of this course.

Credit Value

Geometry A is a 0.5-credit course.

Course Materials

Notebook
Compass
Ruler or straight edge
Scientific calculator
Computer with Internet connection and speakers or headphones
Microsoft Word or equivalent

Course Pacing Guide

This course description and pacing guide is intended to help you keep on schedule with
your work. Note that your course instructor may modify the schedule to meet the
specific needs of your class.

Unit 1: Introduction to Geometry and Transformations

Summary

In this unit, you will learn about the origins of geometry and review some basic
geometric concepts from earlier math courses. Then you will study rigid and nonrigid transformations of two-dimensional figures in the coordinate plane.

Geometry Semester A, Unit 1 Syllabus

Syllabus for Geometry, Semester A, Unit 1

Unit 2: Congruence, Proof, and Constructions

Summary

In this unit, you will learn the criteria necessary to determine whether two or more
plane figures are congruent. You will also study how to write formal mathematical
proofs to prove simple geometric relationships. Finally, you will create geometric
constructions of plane figures using a variety of tools, including technology.

Geometry Semester A, Unit 2 Syllabus

Syllabus for Geometry, Semester A, Unit 2

Unit 3: Similarity and Proof

Summary

In this unit, you will see how dilations play a role in establishing similarity
relationships, and you will learn how transformations can help you decide whether
two or more plane figures are similar. Using similarity, you will also prove
theorems about triangles, the simplest of all polygons. Finally, you will apply what
you know about similarity and congruence of triangles to solve practical problems.

Geometry Semester A, Unit 3 Syllabus

Syllabus for Geometry, Semester A, Unit 3

Unit 4: Trigonometry and Geometric Modeling

Summary

In this unit, you will study trigonometry—a branch of mathematics that explores the
measurements and relationships between the sides and angles of a triangle. You
will use the Pythagorean Theorem and the definitions of sine, cosine, and tangent,
to solve real-world problems involving triangles. You will also prove and apply the
Laws of Sines and Cosines.

Geometry Semester A, Unit 4 Syllabus

Syllabus for Geometry, Semester A, Unit 4

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Inspiring passions in STEM.  Educating a new generation.
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