Welcome to AL: Geometry
Welcome to AL: Geometry
Overview of AL: Geometry
AL: Geometry is the branch of mathematics mainly concerned with two and three-dimensional figures and their properties. We will use algebra, inductive and deductive reasoning, constructions, measurement, and coordinate geometry to explore these properties. We will also employ and sharpen the following skills:
- Making sense of problems and persevering in solving them.
- Reasoning abstractly and quantitatively.
- Constructing viable arguments and critiquing the reasoning of others.
- Modeling with mathematics.
- Using appropriate tools strategically.
- Attending to precision.
- Looking for and making use of structure.
- Expressing regularity in repeated reasoning.
To successfully pass and complete this course, learners must read, watch, and interact with all course materials and components.
How long will this take?
Ask your community coordinator for details on your approximate completion time.
Credit Value: 1.0
Course content must be fully graded to be considered complete.
Grading Scale
Course Outline
The following will be covered in the Units of this Course:
Unit 1
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
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
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
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
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
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: Properties 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
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
Unit 8: Trigonometry
- Lesson 1: The Pythagorean Theorem
- Lesson 2: Special Right Triangles
- Lesson 3: Trigonometry
- Lesson 4: Angle of Elevation
Unit 9
Unit 9: Transformations
- Lesson 1: Translations
- Lesson 2: Reflections
- Lesson 3: Rotations
- Lesson 4: Dilations
Unit 10
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
Unit 11: Volume and Surface Area
- Lesson 1 Space Figures and Cross Sections
- Lesson 2 Surface Areas of 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
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