4. Geometry

Course Description:

Geometry introduces students to properties of angles, triangles and other polygons, circles, space figures, coordinate geometry, and transformations. Course content emphasizes the use of logic, valid arguments, and construction of proofs.

The textbook is:

Glencoe Geometry 2018

The teachers are:

Peter Mannisto

Fariba Farah

Detailed Course Topic List (update in progress for 2022-2023 year):

• 1. Tools of Geometry

     1. Points, Lines, Planes

     2. Distance, Midpoint, Angle

     3. Two and Three Dimensional Figures

  2. Reasoning and Proof

• • 1. Induction, Logic, and Conditionals

    2. Deduction, Postulates, and Proofs

• 3. Parallel and Perpendicular Lines

• • 1. Parallels, Transversals, and Angles

    2. Slopes and Equations

    3. Proofs, and Perpendicular Distances

• 4. Congruent Triangles

• • 1. Classifying, Finding Angles

    2. Proofs by SSS, SAS, ASA, AAS

    3. Isosceles and Equilateral Triangles

• 5. Relationships in Triangles

• • 1. Bisectors, Medians, Altitudes

    2. Inequalities in One and Two Triangles

• 6. Quadrilaterals

• • 1. Polygons, Parallelograms

    2. Rectangles, Rhombi, Squares, Trapezoids, Kites

• 7. Proportions and Similarity

• • 1. Ratios and Proportions

    2. Similar Polygons and Triangles

• 8. Right Triangles and Trigonometry

• • 1. Geometrical Mean, Pythagorean Theorem

    2. Special Right Triangles + Soh Cah Toa

    3. Law of Sines and Cosines

• 9. Transformations and Symmetry

• • 1. Reflections, Translations, Rotations, Dilations

    2. Composite Transformations + Symmetry

• 10. Circles

• • 1. Circumference, Angles, Arcs, Chords

    2. Tangents, Secants, Inscribed

    3. Special Segments and Equations

• 11. Areas of Polygons and Circles

• • 1. Parallelograms, Triangles, Trapezoids, Rhobi, Kites

    2. Circles, Sectors, Composite Figures, Similar Figures

• 12. Extending SA and Volume

• • 1. SA for Prisms, Cylinders, Pyramids, Cones

    2. Volume for Prisms, Cylinders+, Pyramids, Cones