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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 Sample Standardized Test Questions are also embedded directly into the presentations.

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

10 Comments

Deb Yoast • 1 year, 10 months agologin to reply

Hi! I was wondering on the Circles Unit Review Extended Response #1 part c, if there should be more information given or if the answer is wrong. I, along with my students, are very curious about it. Thanks! Deb Yoast

Audra Crist • 1 year, 10 months agologin to reply

Dear Deb Yoast, Thank you for your comment. Enough information was given in the problem to solve it. However, the solution was incorrect and has been updated to read AT = 16. Please download an updated copy of the Circles CW-HW file at your convenience. Please let me know if more information is needed or any questions arise. Kind regards, Audra

Deb Yoast • 1 year, 10 months agologin to reply

One more question on the same problem, the problem gives that AB = 25; shouldn't it be (21 sq. root 2) since the 2 hypotenuses are 16 sqrt 2 and 5 sqrt 2? And actually the length of AB is not needed to solve the problem.

Audra Crist • 1 year, 10 months agologin to reply

Dear Deb Yoast, Thank you for your comment. Yes, the length of segment AB being 25 was incorrect. Since it is not required when finding the solution to the problem, its length has been removed. Please download an updated copy of the file at your earliest convenience. Please let me know if more information is needed or any questions arise. Kind regards, Audra

Christine Kim (NJ K12 MATH-E 23-24) • 1 year, 8 months agologin to reply

I have noticed that some answers in formative assessments in geometry are wrong. I just ran into one of them in module 8 topic 2. The distance between the two points was square root of 34 but it says it is wrong.

Audra Crist • 1 year, 8 months agologin to reply

Hi, Christine, Thank you for your comment, and for providing details via email. The solution to this formative assessment question has been updated in the online course. Please let us know if more information is needed or any questions arise. Kind regards, Audra

Deb Yoast • 1 year, 7 months agologin to reply

Hello! The Quadrilaterals Unit Test on #8 is missing the picture of the trapezoid. Thanks!

Audra Crist • 1 year, 7 months agologin to reply

Dear Deb Yoast, Thank you for your comment. The diagram for Quadrilaterals Test Question #8 has been added back into the test. Please download an updated copy of the file at your earliest convenience. Please let us know if more information is needed or any questions arise. Kind regards, Audra

Catherine Goodall • 1 month, 3 weeks agologin to reply

Hi! Quick question...Is there a review that correlates with the midterm and final for geometry? If so, where do I find it. Thank you for your time, Catherine Goodall Mathematics Toms River High School East

Susan Olszewski • 1 month, 3 weeks agologin to reply

Hi Catherine, we do not have midterm and final exam reviews. One good option would be to use the unit review sections at the end of each unit's cw-hw file to review. The students would've seen these questions previously when completing those units, but it would still be good review to do them in prep for those exams!

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