ETC Montessori

Understanding Geometric Constructions

Current Stock:
0.50 LBS
CPSIA Exempt

Aimed at advanced upper elementary and middle school students. 24 activities allow your students to explore traditional geometric constructions using only a compass and a straight edge.

Students are first guided through the concrete constructions using a compass and a straight edge. They are then moved into more abstract geometric concepts the use of Cabri Jr. for the TI-83/TI-84 calculator.

Each lesson is designed to engage students in group activities and analysis of concepts. Open ended questions are included with each lesson to encourage higher level thinking skills.

Constructions include:

  • Constructing congruent Segments
  • Constructing The Midpoint of any Given Segment
  • The Mascheroni Construction of Finding the Midpoint of a Segment
  • Constructing Congruent Angles
  • Constructing the Bisector of an Angle
  • Constructing an Equilateral Triangle
  • Constructing a Perpendicular Bisector of a Given Segment
  • Constructing the Perpendicular to a Line at a Given Point On the Line
  • Constructing the Perpendicular to a Line at a Given Point Not on the Line
  • Constructing a Parallel to a Given Line
  • Constructing a Square
  • Constructing a Right Triangle
  • Constructing an Isosceles Right Triangle
  • Constructing an Isosceles Trapezoid
  • Constructing the Orthocenter of a Given Triangle
  • Constructing the Centroid of a Triangle
  • Constructing a Tangent to a Circle at a Point On the Circle
  • Constructing a Tangent to a Circle Through a Point in the Exterior of the Circle
  • Finding the Center of a Circle
  • Circumscribe a Circle About a Given Triangle
  • Inscribe a Circle in a Triangle
  • Divide a Given Segment into Specified Number of Congruent Segments
  • Constructing a Fourth Segment in Proportion to Three Given Segments
  • Constructing a Segment Whose Length is the Geometric Mean of Two Other Segments

***For those who want to use the calculator to perform these constructions please note that the TI-84 Plus comes preloaded with the application. No additional purchases are required. If you are using the TI-83 you will need to visit the Texas Instrument Educational website to download Cabri Jr. free of charge.***

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