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Geometry Course

PROGRESSIVE MATHEMATICS INITIATIVE® (PMI®)

This is our newly revised High School Geometry Course that is aligned to the Common Core. All of the released PARCC Sample Questions are also embedded directly into the presentations. The 2014-2015 course is archived. You can get to that course by clicking this link.

Thank you to those who contribute to our ongoing cycle of improvement. Top contributors:
Suzanne Nichols-Salazar - Perth Amboy, NJ
Ruth Tocco - Haddon Heights, NJ
Angela Slaterpryce - Schroon Lake, NY

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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