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Langley High School

Geometry

Topic Outline

First Quarter

Chapter 2 - Reasoning
- 2.1 Exploring Patterns
- 2.2 The Structure of Geometry
- 2.3 Segment and Angle Relationships
- 2.4 Conditional Statements
- 2.5 Reasoning with Properties from Algebra
- 2.6 Deductive Reasoning
Chapter 3 - Lines in a Plane
- 3.1 Exploring Lines and Planes
- 3.2 Congruent Triangles
- 3.3 Using the Laws of Logic
- 3.4 Styles of Proofs
- 3.5 Properties of Parallel Lines
- 3.6 Proving Lines are Parallel
- 3.7 Extended Application: Vectors
Chapter 7 - Transformations: Revisiting Congruence
- 7.1 Exploring Rigid Motion in a Plane
- 7.2 Reflections
- 7.3 Rotations
- 7.4 Translations
Second Quarter
Chapter 4 - Congruent Triangles
- 4.1 Exploring Congruent Triangles
- 4.2 Angles of a Triangle
- 4.3 Proving that Triangles are Congruent
- 4.4 More Ways to Prove that Triangles are Congruent
- 4.5 Using Congruent Triangles
- 4.6 Isosceles Triangles and Right Triangles
- 4.7 Extended Application: Constructions
Chapter 5 - Properties of Triangles
- 5.1 Exploring Parts of Triangles
- 5.2 Special Segments in a Triangle
- 5.3 Midsegment Theorem
- 5.4 Inequalities in One Triangle
- 5.5 Inequalities in Two Triangles
- 5.6 Extended Application: Constructions
Chapter 6 - Polygons
- 6.1 Exploring Polygons
- 6.2 Angles of Polygons
- 6.3 Properties of Parallelograms
- 6.4 Proving Quadrilaterals are Parallelograms
- 6.5 Special Parallelograms
- 6.6 Trapezoids
- 6.7 Extended Application: Congruence and Kites
Third Quarter
Chapter 8 - Similarity
- 8.1 Exploring Ratio and Proportion
- 8.2 Problem Solving with Proportion
- 8.3 Similar Polygons
- 8.4 Similar Triangles
- 8.5 Proving that Triangles are Similar
- 8.6 Proportions in Similar Triangles
Chapter 9 - Right Triangles
- 9.1 Exploring Right Triangles
- 9.2 The Pythagorean Theorem
- 9.3 The Converse of the Pythagorean Theorem
- 9.4 Special Right Triangles
- 9.5 Trigonometric Ratios
- 9.6 Extended Application: Solving Right Triangles
Chapter 10 - Circles
- 10.1 Exploring Circles
- 10.2 Properties of Tangents
- 10.3 Central Angles and Arcs
- 10.4 Arcs and Chords
- 10.5 Inscribed Angles
- 10.6 Other Angle Relationships
Fourth Quarter
Chapter 11 - Planar Measurements
- 11.1 Exploring Area and Perimeter
- 11.2 Areas of Parallelograms and Triangles
- 11.3 Areas of Other Quadrilaterals
- 11.4 Areas of Regular Polygons
- 11.5 Circumference and Arc Length of Circles
- 11.6 Areas of Circles and of Regions of Circles
- 11.7 Extended Application: Areas of Similar Polygons
SOL Review
- A review of all the material covered in Chapters 1-11 and an introduction to the information in Chapter 12.
Chapter 12 - Space Measurements
- 12.1 Exploring Solids
- 12.2 Surface Area of Prisms and Cylinders
- 12.3 Surface Area of Pyramids and Cones
- 12.4 Volume of Prisms and Cylinders
- 12.5 Volume of Pyramids and Cones
- 12.6 Surface Area and Volume of Spheres
- 12.7 Extended Application: Similar Solids

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