Geometry

1. Spatial Reasoning

1.1. 3-D

1.1.1. Conics

1.1.2. Polyhedra

1.2. dimensions

1.2.1. 2-D

1.2.1.1. conic sections

1.2.1.1.1. elllipses

1.2.1.1.2. Circles

1.2.1.1.3. hyperbolas

1.2.1.2. Polygons

1.2.1.2.1. Pythagorean Theorem

1.2.1.2.2. classifications

1.2.1.2.3. properties

1.2.1.2.4. Conjectures

1.2.1.3. Area versus perimeter

1.2.2. 1D

1.2.2.1. lines

1.2.2.1.1. features

1.2.2.1.2. Parallel & Perpendicular

1.3. Angle

1.4. Transforminations

1.4.1. Congruence

1.4.2. rotations, reflections

1.4.3. Symmetry

2. Algebra

2.1. roots and squares

2.2. geometric model of multiplication

2.3. exponential growth

3. Geometric Tools

3.1. Conjectures & Axioms

3.2. measurement

3.3. constructions

3.4. Modeling

3.5. Multiple Representations

4. Mathematical Habits of Mind

4.1. Problem-solving strategies

4.2. perserverance

4.3. explaining and listening to mathematical reasoning

4.4. making connections

5. Logical Reasoning

5.1. Proofs

5.2. Logical operators

5.3. sets

5.4. Notation

5.5. Justification & logical order

6. Proportional Reasoning

6.1. Trigonometry

6.1.1. Application to real world

6.1.2. Tangent as Slope/Angle ratios

6.1.3. sine, cosine, tangent, and inverse trig ratios

6.2. Similarity