Geometry
Course Outline
Semester 1
Unit 0 (PR) – Introduction
Unit 1 (RC) – Algebra Review
- Pythagorean Theorem
- Area and Perimeter
- Algebraic Manipulations
- Linear Equations
Unit 2 (BP) – Logical
Arguments
- Conditional Thinking
- Deductive Reasoning
- Inequalities (review)
- Systems of Equations (review)
Unit 3 (PS) – Geometry
Fundamentals
- Geometric Vocabulary
- Properties of Angles and Lines
- Graphing Linear Inequalities (review)
- Slopes of Perpendicular Lines (add in)
Unit 4 (SV) – Spatial
Visualization
- 2-D Drawings
- 3-D Drawings
- Classify 3-D Figures
- Surface Area and Volume
- Graphing Non-Linear Inequalities
Unit 5 (CG) – Triangle
Congruence
- Congruence Theorems
- Triangle Inequality
- Transformations
- Solving Quadratic Equations (review)
Unit 6 (TK) – Writing Proofs
- Flow Chart Proofs
- Two Column Proofs
- Paragraph Proofs
- Proof by Contradiction
- Laws of Exponents (review)
Algebra 2, Unit 10 (PM) –
Probability
- Conditional Probability
- Tree Diagrams
- Area Models for Probability
- Sample Space
- Independent vs. Dependent Events
Semester 2
Unit 7 (T) – Trigonometry
- Right Triangle Trigonometry
- Law of Sines
- Special Right Triangles
- Solving Rational Equations
- Simplifying Radicals
Unit 8 (S) – Similarity
- Length/Area/Volume
Ratios (
) - Similarity Theorems
- Angle of Incidence/Reflection
- Simplify Exponential Expressions
Unit 9 (US) – Polygons
- Properties of Area and Angle Sums
- Regular Polygons
- Properties of Quadrilaterals
- Diagonal Properties and Proofs of Quadrilaterals (optional)
Unit 10 (CS) – Circles and Solids
- Definition of Tangent and Secant
- Properties of Chords, Angles, Arcs and Sectors
- Surface Area and Volume of Prisms and Cylinders
- Volume of Pyramids and Cones
Unit 11 (GP) – Geometric Probability
- Evaluate ‘Fair’ Games
- Expected Value
- Area Models for Probability (review)
- Simplify Rational Expressions (review)
Unit 12 (3D) – More Circles and Solids
- Surface Area of Pyramids
- Equation of a Circle
- Chord and Secant Theorems