Geometry

Understanding transformations, congruency & similarity; geometric theorems; geometric constructions; geometric properties with equations; geometric measurement & dimensions; applying geometric concepts to solve real-world problems.

Geometry Foundations

Terms & Definitions

3D Shapes & Nets

Lines & Angles

Coordinate Grid

Area & Perimeter

Volume

Pythagorean Theorem

Construction of Triangles

Introduction to Transformations

Introduction to Congruent & Similar Images

Transformation

Identifying Transformations

Sequences of Transformations

Dilation

Rotation

Reflection

Translation

Congruence

Geometric Constructions

Geometric Theorems

Congruent Triangles

Congruence & Transformations

Similarity

Similar Triangles

Similarity & Transformations

Theorems on Similarity

Right Triangles and Trigonometry

Problems involving Right Triangles

Trigonometry in General Triangles

Trigonometric Ratios

Right Triangle Ratios

Special Right Triangles

Circles

Arcs

Radians & Degrees

Terms & Definitions

Area of a Sector

Theorems: Inscribed & Circumscribed Angles & Shapes

Theorems: Tangents

Constructions

Application of Circle Theorems in the Real-world

Analytical Geometry

Dividing Line Segments

Midpoint Formula

Distance Formula

Parallel and Perpendicular Lines

Conic Sections

Equation of a Parabola

Equation of a Hyperbola

Equation of an Ellipse

Equations of a Circle

Solid Geometry

Cavalieri’s Principle & Dissection Arguments

Relationships between 2D & 3D Objects

Density of 3D Shapes

Surface Area of 3D Shapes

Geometric Methods to Solve Design Problems

Volume of 3D Shapes

Conditional Probability

Real-world Problems

Two-Way Table

Compound Events

Conditional Probability

Dependent & Independent Events

Sample Spaces & Events

Sets