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Lesotho Geometry Course

PROGRESSIVE SCIENCE INITIATIVE® (PSI®) - PROGRESSIVE MATHEMATICS INITIATIVE® (PMI®)

Units (select a unit)

  • Points, Lines, and Planes
    Intro to Geometry
    Points & Lines
    Planes
    Congruence, Distance & Length
    Constructions & Loci
  • Angles
    Angles
    Congruent Angles
    Angles & Angle Addition Postulate
    Protractors
    Special Angle Pairs
    Introduction to Proofs
    Proofs Special Angles
    Angle Bisectors
    Locus & Angle Constructions
    Angle Bisectors & Constructions
  • Parallel Lines
    Lines: Intersecting, Parallel & Skew
    Lines & Transversals
    Parallel Lines & Proofs
    Properties of Parallel Lines
    Constructing Parallel Lines
  • Triangles
    Triangles
    Triangle Sum Theorem
    Exterior Angle Theorem
    Inequalities in Triangles
    Similar Triangles
    - AA~
    - SSS~
    - SAS~
  • Similar Triangles & Trigonometry
    Problem Solving w/ Similar Triangles
    Similar Triangles & Trigonometry
    Trigonometric Ratios
    Inverse Trigonometric Ratios
    Review of the Pythagorean Theorem
    Converse of the Pythagorean Theorem
    Special Right Triangles
  • Congruent Triangles
    Congruent Triangles
    Proving Congruence: SSS
    Proving Congruence: SAS
    Proving Congruence ASA
    Proving Congruence AAS
    Proving Congruence HL
    Triangle Congruence Proofs
    CPCTC
    Isosceles Triangle Theorem
  • Circles
    Parts of a Circle
    Central Angles & Arcs
    Arc Length & Radians
    Chords, Inscribed Angles & Triangles
    Tangents & Secants
    Segments and Circles
  • Analytic Geometry
    Origin of Analytic Geometry
    Distance Formula
    Midpoint Formula
    Partitions of a Line Segment
    Slopes of Parallel & Perpendicular Lines
    Eq of Parallel & Perpendicular Lines
    Triangle Coordinate Proofs
    Equation of a Circle & Completing the Square
  • Transformations
    Transformations
    Translations
    Reflections
    Rotations
    Identifying Symmetry w/ Transformations
    Composition of Transformations
    Congruence Transformations
    Dilations
    Similarity Transformations
  • Quadrilaterals
    Polygons
    Properties of Parallelograms
    Proving Quads are Parallelograms
    Rhombi, Rectangles & Squares
    Trapezoids
    Kites
    Constructing Quadrilaterals
    Families of Quadrilaterals
    Proofs
    Coordinate Proofs
  • Area of Figures
    Area of Rectangles
    Area of Triangles
    Law of Sines
    Area of Parallelograms
    Area of Regular Polygons
    Area of Circles & Sectors
    Area of Other Quadrilaterals
    Area and Perimeter of Figures in the Coordinate Plane
  • 3D Geometry
    Intro to 3-D solids
    Views & Drawings of 3-D Solids
    Surface Area of Prisms, Cylinders, Pyramids & Cones
    Volume of Prisms Prisms, Cylinders, Pyramids & Cones
    Surface Area & Volume of Spheres
    Cavalieri’s Principle
    Similar Solids
  • Probability
    Probability of Simple Events
    Probability & Length
    Probability & Area

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