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### Semester 1 - 0.5 Credit

### Semester 2 - 0.5 Credit

Have you struggled with geometry in the past? This course offers a convenient solution for students who need to complete the first semester of geometry but want the flexibility to work at their own pace.
In this course, you'll master the geometric relationships and deductive strategies used to solve a variety of real-world and mathematical problems. The course begins with the foundations of geometry and provides an introduction to the most fundamental topics of the subject. In Semester 1, you'll gain an understanding of:

- geometric proofs and theorems
- angles
- triangles
- quadrilaterals
- trapezoids

## Unit 1: Basic Geometry

- Lesson 1 Points, Lines, and Planes
- Lesson 2 Measuring Segments
- Lesson 3 Measuring Angles
- Lesson 4 Exploring Angle Pairs
- Lesson 5 Basic Constructions
- Lesson 6 Midpoint and Distance in the Coordinate Plane
- Lesson 7 Perimeter, Area, and Circumference

## Unit 2: Proofs

- Lesson 1 Patterns and Inductive Reasoning
- Lesson 2 Conditional Statements
- Lesson 3 Biconditionals and Definitions
- Lesson 4 Deductive Reasoning
- Lesson 5 Reasoning in Algebra and Geometry
- Lesson 6 Proving Angles Congruent

## Unit 3: Lines

- Lesson 1 Lines and Angles
- Lesson 2 Properties of Parallel Lines
- Lesson 3 Proving Parallel Lines
- Lesson 4 Parallel and Perpendicular Lines
- Lesson 5 Parallel Lines and Triangles
- Lesson 6 Constructing Parallel and Perpendicular Lines
- Lesson 7 Equations of Lines in the Coordinate Plane
- Lesson 8 Slopes of Parallel and Perpendicular Lines

## Unit 4: Determining Congruence

- Lesson 1 Congruent Figures
- Lesson 2 Triangle Congruence by SSS and SAS
- Lesson 3 Triangle Congruence by ASA and AAS
- Lesson 4 Using Corresponding Parts of Congruent Triangles
- Lesson 5 Isosceles and Equilateral Triangles
- Lesson 6 Congruence in Right Triangles
- Lesson 7 Congruence in Overlapping Triangles

## Unit 5: Triangles and Centers

- Lesson 1 Midsegments of Triangles
- Lesson 2 Perpendicular and Angle Bisectors
- Lesson 3 Bisectors in Triangles
- Lesson 4 Medians and Altitudes
- Lesson 5 Indirect Proof
- Lesson 6 Inequalities in One Triangle

## Unit 6: Polygons

- Lesson 1 The Polygon Angle-Sum Theorem
- Lesson 2 Properties of Parallelograms
- Lesson 3 Proving a Quadrilateral is a Parallelogram
- Lesson 4 Properites of Rhombuses, Rectangles, and Squares
- Lesson 5 Conditions for Rhombuses, Rectangles, and Squares
- Lesson 6 Trapezoids and Kites
- Lesson 7 Polygons in the Coordinate Plane

## Unit 7: Similar Figures

- Lesson 1 Ratios and Proportions
- Lesson 2 Similar Polygons
- Lesson 3 Proving Triangles Similar
- Lesson 4 Similarity in Right Triangles
- Lesson 5 Proportions in Triangles

## Unit 8: Trigonometry

- Lesson 1 The Pythagorean Theorem
- Lesson 2 Special Right Triangles
- Lesson 3 Trigonometry
- Lesson 4 Angle of Elevation

## Unit 9: Transformations

- Lesson 1 Translations
- Lesson 2 Reflections
- Lesson 3 Rotations
- Lesson 4 Dialations

## Unit 10: Area

- Lesson 1 Area of Parallelograms and Triangles
- Lesson 2 Area of Trapezoids, Rhombuses, and Kites
- Lesson 3 Area of Regular Polygons
- Lesson 4 Circles and Arcs
- Lesson 5 Areas of Circles and Sectors

## Unit 11: Volume and Surface Areas

- Lesson 1 Space Figures and Cross Sections
- Lesson 2 Surface Areas os Prisms and Cylinders
- Lesson 3 Surface Area of Pyramids and Cones
- Lesson 4 Volumes of Cylinders and Prisms
- Lesson 5 Volumes of Pyramids and Cones
- Lesson 6 Surface Area of Volumes in a Sphere

## Unit 12: Circles

- Lesson 1 Tangent Lines
- Lesson 2 Chords and Arcs
- Lesson 3 Inscribed Angles in a Circle
- Lesson 4 Angles Measures and Segments
- Lesson 5 Circles in the Coordinate Plane

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