GEOMETRY

2-hours per session

Experienced Teachers

Carefully crafted lesson planning

Small group instruction

Assessment of the individual students needs

Rigorous and dynamic sessions

Smart Start USA Geometry HS program provides learners with a comprehensive study of essential geometric concepts and allows students to understand abstract and practical aspects of Geometry. We will investigate the world of proofs, theorems, postulates, coordinate plains, congruence, similarity, surface area, volume, and transformations. Moreover, we will widely utilize algebraic expressions and relationships throughout the course, so our students will be better prepared for their future explorations in Trigonometry and Calculus. In addition, our program will prepare students to meet the challenges of the Geometry Regents Exam. 

  •  Prepares students for Geometry Regents Exam
  • Experienced, licensed teachers 
  • Carefully crafted teaching instruction 
  • Assessment of the individual student’s needs
  • Rigorous and dynamic sessions that build an understanding of essential mathematical concepts 
  • Emphasis on test-taking skills and time management
  • Interactive instruction that boosts students’ motivation
  •  learning atmosphere where students are active participants in group discussions 
  • 2-hour session/once per week
  • Class Curriculum
  • Perimeter and Circumference
  • Figures and Shaded regions
  • Coordinate Geometry
  • Forms of Linear Equations
  • Parallel and Perpendicular Lines
  • Distance Formula
  • Midpoint Formula
  • Rigid Motions
  • Translations, Reflections, Rotations
  • Perpendicular Bisectors
  • Directed Line Segments
  • Perimeter and Area Using Coordinates
  • Shoelace Method
  • Dilations
  • Compositions of Transformations
  • Triangles
  • Angles, Exterior Angles,Medians, Altitudes, Angle Bisectors.
  • Type of Triangles
  • Isosceles and Equilateral Triangles
  • Congruent and Similar Triangles
  • Points of Concurrency
  • Pythagorean Theorem
  • Mean Proportional
  • Congruent Right Triangles
  • Trigonometric Ratios
  • Using Trigonometry to Find a Single Side and Angle
  • Special Right Angles
  • Cofunctions
  • Oblique triangles
  • Law of Sines and Cosines
  • SAS Sine Formula for Area of Triangles
  • Proofs
  • Reflective
  • Symmetric
  • Transitive Properties of Equality
  • Addition Postulates
  • Subtraction Postulates
  • Multiplication Postulates
  • Division Postulates
  • Substitution Postulates
  • Partition Postulates
  • SAS, ASA, AAS, SSS, HL Congruence of Triangles
  • CPCTC Statement
  • Proofs and Triangles in Coordinate Planes
  • Quadrilaterals
  • Properties of Parallelograms
  • Special quadrilaterals, trapezoids, and kites
  • Parallelogram Proofs
  • Informal and Coordinate Proofs
  • Transformation Proofs
  • Circles
  • Arcs
  • Angles
  • Secants
  • Chords
  • Tangents
  • Arc Lengths and Sectors
  • Proofs and Circles in a Coordinate Plane
  • Solids
  • Volume
  • Density
  • Cavalieri’s Principle
  • Rotations of Two-Dimensional Figures
  • Lateral and Surface Areas
  • Cross Sections
  • Constructions
  • Copy Segment,Angles, Triangles,Angle Bisector
  • Perpendicular Bisector, Lines Through a Point
  • Construction Parallel Lines, Target to a Circle
  • Regular Polygons
  • Points of Concurrency.

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