Unit 1: Constructions and Rigid Transformations

• Intro to Geometry Tools (Compass, Straightedge)
• Constructing Congruent Segments and Angles
• Triangle Constructions (SSS, SAS, ASA, AAS)
• Rigid Transformations: Translation, Rotation, Reflection (With Tracing Paper or Digital Tools)
• Understanding Congruence Through Transformations

Unit 2: Congruence, Proof, and Constructions

• Building Logical Arguments in Geometry (Intro to Proofs)
• Congruence Criteria: SSS, SAS, ASA, AAS, HL (With Manipulatives or Drag-and-Drop)
• Parallel Lines and Transversals – Angle Relationships
• Proving Theorems Using Rigid Transformations
• Proof Writing with Flowcharts and Two-Column Formats

Unit 3: Similarity

• Dilation Basics with Grid Models
• Similar Figures and Scale Factors
• Angle-Angle (AA) and Other Similarity Criteria
• Using Similarity in Indirect Measurement Problems
• Proofs Involving Similar Triangles

Unit 4: Right Triangle Trigonometry

• Pythagorean Theorem (Visual and Algebraic Proof)
• Special Right Triangles (30-60-90 and 45-45-90)
• Trigonometric Ratios: Sine, Cosine, Tangent (With Triangle Models)
• Solving Right Triangles
• Real-Life Trig Applications (e.g., Ladder, Ramp, Shadows)

Unit 5: Circles with and without Coordinates

• Circle Vocabulary: Radius, Chord, Diameter, Tangent
• Arc Measure, Central & Inscribed Angles (Using Color-Coded Diagrams)
• Properties of Tangents, Chords, and Secants
• Area and Circumference (Concrete to Formula)
• Using Radians & Trig in Circle Problems
• Equations of Circles in Coordinate Plane

Unit 6: Expressing Geometric Properties with Equations

• Slope, Midpoint, and Distance on the Coordinate Plane
• Perpendicular and Parallel Lines in Geometry
• Classifying Triangles and Quadrilaterals Using Coordinates
• Proof of Geometric Theorems Using Algebra

Unit 7: Geometric Measurement and Dimension

• Area & Perimeter of Composite Shapes
• Volume of Prisms, Cylinders, Cones, and Spheres
• Cavalieri’s Principle (Concrete Visuals)
• Modeling Real-World Volume Problems

Unit 8: Probability

• Geometric Probability (Using Area Models)
• Compound Events with Area Diagrams
• Conditional Probability with Tree Diagrams and Venn Models