Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Line (geometry) wikipedia , lookup
Technical drawing wikipedia , lookup
Golden ratio wikipedia , lookup
Tessellation wikipedia , lookup
Euler angles wikipedia , lookup
History of trigonometry wikipedia , lookup
Rational trigonometry wikipedia , lookup
Trigonometric functions wikipedia , lookup
Euclidean geometry wikipedia , lookup
Reuleaux triangle wikipedia , lookup
Incircle and excircles of a triangle wikipedia , lookup
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 Shape shifter quiz • 4. The most specific name of this shape • 5. The most specific name of this shape • 6. The most specific name of this shape 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 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 1. 2. 3. 4. 5. 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 a. Previous assignments b. Activity 2.9a and b on pages 83 -86 6. Sierpinski Patterns (tan)—due Monday, July 12 7. What do we know about geometry (Gold) Due Monday, July 12 8. 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