Understanding Geometric Constructions

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 Orthocentre 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 centre 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-83/84 comes preloaded with the application. No additional purchases are required.*** This product is now available as an e-book for your Apple iPad, iPhone, and Mac devices, as well as your Android devices through the Google Play Book Store. Explore, see sample pages, and purchase by clicking on the appropriate badge below.