Geometry

• Course Overview

Foundations of Geometry

• Understanding Points, Lines, and Planes
• Measuring and Comparing Segments
• Classifying and Measuring Angles
• Exploring Angle Pair Relationships
• Identifying and Classifying Polygons

Logic and Proof

• Inductive Reasoning: Patterns and Conjectures
• Deductive Reasoning: Logical Steps in Proofs
• Understanding Conditional Statements
• Proving Angles are Congruent

Working with Lines

• Understanding Parallel Lines and Transversals
• Methods for Proving Lines Parallel
• Comparing Parallel and Perpendicular Lines Using Slope
• Writing Equations of Lines

Congruence in Geometry

• Exploring Congruent Figures
• Proving Triangles Congruent by SSS and SAS
• Using AAS, ASA, and HL for Congruent Triangles
• Understanding Isosceles and Equilateral Triangles
• Working with Corresponding Parts of Congruent Triangles

Properties of Triangles

• Exploring Triangle Mid-segments
• Perpendicular Bisectors in Triangles
• Understanding Angle Bisectors in Triangles
• Discovering Medians and Altitudes
• Analyzing Inequalities in One Triangle
• Comparing Inequalities in Two Triangles

Similarity in Geometry

• Understanding Ratios and Proportions
• Exploring the Geometric Mean
• Working with Similar Polygons
• Proving Triangles Similar by AA
• Proving Triangles Similar by SSS and SAS
• Exploring Similarity in Right Triangles

 

Geometry Part 2 Overview

Right Triangles and Trigonometry

• Applying the Pythagorean Theorem
• Understanding Special Right Triangles
• Exploring Six Trigonometric Functions: Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent
• Solving Problems with Angles of Elevation and Depression

Quadrilaterals & Other Polygons

• Understanding the Polygon Angle Sum Theorem
• Analyzing Interior and Exterior Angles of Regular Polygons
• Exploring Parallelograms and their Properties
• Investigating Rhombuses, Rectangles, and Squares
• Understanding the Properties of Trapezoids and Kites
• Differentiating Between Convex and Concave Polygons

Circles

• Understanding Tangent Lines
• Working with Chords
• Exploring Secant Lines
• Finding Arc Measures
• Understanding Inscribed Angles
• Analyzing Angle Measures and Segment Lengths
• Graphing Circles on the Coordinate Plane
• Calculating Areas and Circumferences of Circles

Areas & Perimeters of Polygons

• Calculating Perimeters of Polygons
• Finding Areas of Triangles
• Determining Areas of Parallelograms
• Understanding Areas of Rhombuses
• Finding Areas of Kites
• Exploring Areas of Regular Polygons
• Calculating Areas of Trapezoids
• Determining Areas of Sectors of Circles
• Finding Arc Lengths in Circles

Surface Area & Volume

• Finding the Surface Area of Prisms
• Calculating Surface Area of Cylinders
• Understanding Surface Area of Pyramids
• Finding Surface Area of Cones
• Calculating Volumes of Prisms
• Determining Volumes of Cylinders
• Finding Volumes of Pyramids
• Understanding Volumes of Cones
• Calculating Surface Area and Volume of Spheres

Transformations

• Exploring Translations, Reflections, and Rotations
• Understanding Dilations
• Analyzing Symmetry
• Working with Composition of Transformations

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