Math – Geometry

Chapter 1 - Foundations for Geometry

Lesson 1-1 – Understanding Points, Lines, and Planes

Lesson 1-3 (Part 2) – Using the Compass to Construct Angles                          .

Lesson 1-6 (Part 1) – Midpoint and Distance in the Coordinate Plane

Lesson 1-2 (Part 1) – Measuring Segments

Lesson 1-4 (Part 1) – Pairs of Angles (Complementary and Supplementary)

Lesson 1-6 (Part 2) – Partitioning a Segment

Lesson 1-2 (Part 2) – Using the Compass to Construct Segments

Lesson 1-4 (Part 2) – More Angle Pairs (Adjacent, Linear, and Vertical)                   .

Lesson 1-7 – Transformations in the Coordinate Plane

Lesson 1-3 (Part 1) – Measuring Angles

Lesson 1-5 – Using Formulas in Geometry                                                                         .

Chapter 2 - Geometric Reasoning

Lesson 2-1 – Using Inductive Reasoning to Make Conjectures

Lesson 2-5 – Algebraic Proof

Lesson 2-2 – Conditional Statements                            .

Lesson 2-6 – Geometric Proof

Lesson 2-3 – Using Deductive Reasoning to Verify Conjectures

Lesson 2-7 – Flowchart and Paragraph Proofs

Lesson 2-4 – Biconditional Statements and Definitions

Chapter 3 - Parallel and Perpendicular Lines

Lesson 3-1  – Lines and Angles                           .

Lesson 3-5 – Slopes of Lines

Lesson 3-2 – Angles formed by Parallel Lines and Transversals

Lesson 3-6 – Lines in the Coordinate Plane

Lesson 3-3 – Proving Lines Parallel

Lesson 3-4 – Perpendicular Lines

Chapter 4 - Triangle Congruence

Lesson 4-1 – Congruence and Transformations

Lesson 4-5 – Proving Triangles Congruent by SSS and SAS

Lesson 4-7 – Corresponding Part of Congruent Triangles

Lesson 4-2 – Classifying Triangles                     .

Lab – Constructions of Triangles

Lesson 4-8 – Coordinate Proof

Lesson 4-3 – Angle Relationships in Triangles

Lesson 4-6 – Proving Triangles by ASA and AAS

Lesson 4-9 – Isosceles and Equilateral Triangles

Lesson 4-4 – Congruent Triangles                     .

Lesson 4-6 – Proving Triangles by HL

Chapter 5 - Properties and Attributes of Triangles

Lesson 5-1 – Perpendicular and Angle Bisectors

Lesson 5-4 – The Triangle Midsegment Theorem

Lesson 5-7 – Pythagorean Theorem

Lesson 5-2 – Bisectors of Triangles

Lesson 5-5 – Indirect Proof and Inequalities in One Triangle

Lesson 5-7 – Pythagorean Triples

Lesson 5-3 – Medians and Altitudes of Triangles

Lesson 5-6 – Inequalities in Two Triangles

Lesson 5-8 – Applying Special Right Triangles 45-45-90

Lesson 5-2/5-3 – Constructions of Points of Concurrency

Lesson 5-7 – Review of Radicals

Lesson 5-8 – Applying Special Right Triangles 30-60-90

Chapter 6 - Polygons and Quadrilaterals

Lesson 6-1 – Construction of Regular Polygons

Lesson 6-4 – Properties of Special Parallelograms

Lesson 6-1 – Properties and Attributes of Polygons

Lesson 6-5 – Conditions for Special Parallelograms

Lesson 6-2 – Properties of Parallelograms

Lesson 6-6 – Properties of Kites and Trapezoids

Lesson 6-3 – Conditions for Parallelograms

Chapter 7 - Similarity

Lesson 7-1 – Geometric Mean and Proportions

Lesson 7-4 – Applying Properties of Similar Triangles

Lesson 7-1 – Ratios and Similar Polygons

Lesson 7-5 – Using Proportional Relationships

Lesson 7-2 – Similarity and Transformations

Lesson 7-6 – Dilations and Similarity in the Coordinate Plane

Lesson 7-3 – Triangle Similarity: AA~, SSS~, SAS~

Lesson 7-6 – Segment Partition

Chapter 8 - Right Triangles and Trigonometry

Lesson 8-1 – Similarity in Right Triangles

Lesson 8-3 – Solving Right Triangles

Lesson 8-1 – Geometric Mean in Right Triangles

Lesson 8-4 – Angles of Elevation and Depression

Lesson 8-2 – Trigonometric Ratios

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Lesson 8-5 – Law of Sines and Law of Cosines

Lesson 8-2 – Trig Ratios and Complementary Angles

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Lesson 8-6 – Vectors

Chapter 9 - Extending Transformational Geometry

Lesson 9-1 – Basic Transformations and Translations

Lesson 9-5 – Angle Preserving Transformations

Lesson 9-2 – Reflections

Lesson 9-3 – Rotations

Lesson 9-4 – Compositions of Transformations

Chapter 10 - Extending Perimeter Circumference and Area

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Chapter 11 - Spatial Reasoning

Lesson 11-1 – Area Part I

Lesson 11-5 – Volume and Surface Area of Pyramids and Cones

Lesson 11-2 – Area Part II

Lesson 11-6 – Volume and Surface Area of Spheres, Real World Context

Lesson 11-3 – Nets, 3-D Figures, Cavallieri’s Principle, Cross Sections

Lesson 11-7 – Geometric Design and Volume in Real World Contexts

Lesson 11-4 – Volume and Surface Area of Prisms and Cylinders

Lesson 11-8 – Density

Chapter 12 - Circles

Lesson 12-1 – Circumference and Arc Length

Lesson 12-5 – Radians and Degrees in a Circle

Lesson 12-2 – Area of Circles and Area of Sectors

Lesson 12-6 – Central Angles, Arcs and Inscribed Angles in a Circle

Lesson 12-3 – Circles in the Coordinate Plane – Standard Form

Lesson 12-7 – Tangent Lines, Secants, and Chords in a Circle

Lesson 12-4 – General Form of a Circle and Transformations

Lesson 12-8 – Circumscribed Angles and Beyond in a Circle

Chapter 13 - Probability

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