Knowing Growing and Showing NIMS GEO. June 17, 2010 Knowing Growing and Showing

Geogebra General drawing and measuring Parallel lines and transversal Measure and compare angles Make a triangle and find angle sum Measure and compare angles and sides Make an equilateral triangle Try to find perpendicular bisectors and to construct circumscribed circle

Geogebra for Friday Complete Slice it/Dice it Complete Midpoint Quadrilateral Can try 176-182 in GSP book Use to explore quadrilaterals and their properties Fill in summary sheet Getting started

Shape shifter quiz 1. Sum of the interior angles of a triangle 2. Sum of one set of exterior angles of a triangle 3. The most specific name of this shape rectangle

Shape shifter quiz 4. The most specific name of this shape Parallelogram, rhombus, square

Shape shifter quiz 7. The most specific name of this shape 8. The sum of the interior angles of this shape 9. T/F: All squares are rectangles 10. T/F: All rectangles are squares Trapezoid

Shape Shifter Quiz Give Go over Lead to triangle sum proof Other proofs… Book’s ways Proof of exterior angles Proofs in general—see gray sheet and sum

What do we know about a triangle??

Where can we go Midpoints and median investigation Notecard activity

Where can we go Why is the midsegment parallel to the other side? Why is it half the length?

Sierpinski’s Triangle Applet from Shodor Worksheet

Homework questions? From article? From book?

June 17 Assignments Due June 18 or as noted Triangle tribulations and restricted angle sum (gray) Quad properties worksheet (yellow)–use Geogebra Whadya know about a triangle (white) Complete Geogebra for Friday investigations In book, read and complete Previous assignments Activity 2.9a and b on pages 83 -86 Sierpinski Patterns (tan)—due Monday, July 12 What do we know about geometry (Gold) Due Monday, July 12 How many shapes and Eskimo puzzle (Salmon) Due Monday July 12

Geogebra for Friday Complete Slice it/Dice it Complete Midpoint Quadrilateral Use to explore quadrilaterals and their properties Fill in summary sheet Getting started

Geogebra for Monday, July 12 Work on original 10 items Construct any triangle and its midpoints and midsegments Show (with slopes) the parallel properties Show and compare the lengths Show the area of the original triangle and its midpoint triangle Record your conclusions in a text box Save as midpointtriyourname and be ready to turn in!

Geogebra for Monday, July 12 Continued… Construct any triangle and its midpoints and medians Construct the centroid The centroid divides each median into 2 segments—measure and compare these lengths Measure and compare the area of the 6 triangles formed Color each of the 6 triangles a different color Put your conclusions in a texbox Save as centroid your name and be ready to turn in